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Система передавання неперервних повідомлень із використанням широтно–імпульсної модуляції

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МІНІСТЕРСТВО ОСВІТИ І НАУКИ УКРАЇНИ

ХАРКІВСЬКИЙ НАЦІОНАЛЬНИЙ УНІВЕРСИТЕТ РАДІОЕЛЕКТРОНІКИ

Кафедра: Мережі зв’язку

Курсова робота

по курсу: ”Теорія електричного зв’язку”

на тему: “Система передавання неперервних повідомлень із використанням
ШІМ”

Виконав:

студент 3-курсу

Мелешкін О.В.

Харків – 2001

ЗМІСТ

Скорочення

Вихідні дані

Вступ

1. Аналіз аналогічних систем зв’язку

2. Аналіз статистичних характеристик і параметрів переданого
повідомлення

3. Характеристики і параметри сигналів широко-імпульсної модуляції

4. Врахування перешкод в лінії зв’язку

5. Розрахунок характеристик приймача

6. Вибір схем модулятора і демодулятора

Вихідні дані

Висновок

Перелік літератури

СКОРОЧЕННЯ

АІМ – амплітудна–імпульсна модуляція

БКЗ – безперервний канал зв’язку

ВСШ – відношення сигнал – шум

ДП – джерело повідомлення

ОП – одержувач повідомлень

СКП – середньоквадратична похибка

ПДП – передаючий пристрій

ПРП – приймальний пристрій

ФНЧ – фільтр нижніх частот

ЧІМ – частотно–імпульсна модуляція

ШІМ – широтно–імпульсна модуляція

ВИХІДНІ ДАНІ

Безперервне повідомлення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, що спостерігається на виході джерела повідомлення (ДП),
являє собою реалізацію стаціонарного гаусовського випадкового процесу з
нульовим середнім і відомою функцією кореляції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. Повідомлення передається в аналоговій формі змішаною
системою зв’язку.

У передаючому пристрої (ПДП) системи на основі модулятора повідомлення
відображається в сигнал широко імпульсної модуляції. Сигнал потім
передається по вузько смуговому гаусовському безперервному каналу
зв’язку (БКЗ).

У приймальному пристрої (ПРП) системи прийнята суміш сигналу і шуму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 де модулюється.

Початкові дані для розрахунків приведені в таблиці 1, де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 – потужність (дисперсія)
повідомлення,
picscalex100010009000003880000000200120000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c02000280011200000026060f001a00ffffffff00001000
0000c0ffffffc6ffffff40010000c60100000b00000026060f000c004d61746854797065
0000500010000000fb0280fe0000000000009001010000020002001053796d626f6c0002
040000002d01000008000000320a600146000100000062000a00000026060f000a00ffff
ffff01000000000010000000fb021000070000000000bc02000000cc0102022253797374
656d00cc040000002d01010004000000f0010000030000000000 – показник
загасання функції кореляції,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 – постійна енергетичного спектра шуму БКЗ,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 – допустима
відносна середньоквадратична похибка (СКП) відновлення повідомлення.

Таблиця 1

п/пДППДПНКЗОПФункція кореляції повідомлення
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Засіб
передаванняpicscalex1000100090000032601000002001700000000000500000009020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.231ШІМ0,00300.13picscalex10001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ВСТУП

В останні 30 років у багатьох галузях науки і техніки науково –
технічний прогрес супроводжується інтенсивним збільшенням об’ємів
інформації, необхідної для керування промисловістю, сільським
хазяйством, транспортом та ін.

В сучасному світі дуже швидке розвивається теорії й техніки зв’язку
визначаються новими умовами і витікаючи ми з них, ще більш високими
вимогами. Насамперед підвищуються вимоги до швидкості і достовірності
передачі інформації. Достовірність і швидкість є найважливішими
характеристиками сучасних систем зв’язку.

Імпульсні методи модуляції зараз знаходять своє саме широке застосування
в техніки передачі, перетворення і реєстрації сигналів, тому що вони
сполучать у собі високу поміхо стійкість і легкість демодуляції з малими
витратами енергії на передачу. Широтно – імпульсна модуляція (ШІМ) у
цьому плані займає особливе місце. Діапазон її використання дуже широкий
— це могутні вентильні перетворювачі, підсилювачі потужності різної
радіоапаратури, ключові стабілізатори напруги, системи передачі даних,
апаратура розгортающего перетворення, системи точного магнітного запису,
аналогові обчислювальні пристрої, фільтри й ін.

Початок загальної теорії передачі повідомлень був закладений в роботі
В.А. Котельникова «Про пропускну здатність «ефіру» і дроту» (1933р.), в
якій була сформульована і доведена теорема відліків, і в роботі Р.
Хартлі «Передача інформації» (1928р.), в якій була введена логарифмічна
міра інформації. Наступним великим кроком в розвитку теорії з’явилися
фундаментальні роботи В.А. Котельникова по теорії потенційної
завадостійкості (1946р.) і К. Шеннона по теорії інформації (1948р.). У
цих роботах були сформульовані основні положення й теореми сучасної
теорії передачі повідомлень.

Подальший розвиток теорія отримала в трудах А.А. Харкевича, Д.В. Агеєва,
В.І. Сифорова, Д. Міддлтона і багатьох інших радянських і зарубіжних
вчених. Великий вплив на розвиток теорії надали видатні математиці А.Н.
Колмогоров, Н. Вінер, А.Я. Хинчин і інші.

У цей час розвитку теорії і впровадженню її в практику надається велике
значення. Про високий рівень науки і техніки в області зв’язку свідчать
такі досягнення, як створення найскладніших систем далекої і наддалекої
космічної телекомунікації, систем зв’язку і телебачення з використанням
штучних супутників Землі. У цих системах застосовуються використовуються
магнітні широтно-імпульсні модулятори, є те, що вони легко узгоджуються
як з аналоговими, так і з цифровими системами переробки інформації і
можуть бути зв’язуючи ми ланками між цими системами. Нарешті, за
допомогою схем на широтно-імпульсних модуляторах і логічних елементах
можна створити аналого-цифрові (гібридні) інформаційні системи, які
поєднують у собі позитивні якості аналогових і цифрових комплексів,
оптимальні методи обробки сигналів і завадостійкі коди, що дозволяють
виявляти і виправляти помилки, виникаючі в каналі.

Створення подібних систем було б неможливим без видатних успіхів
сучасної теорії і техніки зв’язку.

1. АНАЛІЗ АНАЛОГІЧНИХ СИСТЕМ ЗВ’ЯЗКУ

В імпульсних системах передачі енергія сигналу випромінюється не
безупинно (як при гармонійному переноснику), а у виді коротких
імпульсів. Це дозволяє при той же загальної енергії випромінювання, що і
при безупинному переноснику, збільшити пікову (максимальну) потужність в
імпульсі і тим самим підвищувати поміхо стійкість прийому. Як переносник
первинного сигналу b(t) в імпульсних системах зв’язку використовують
періодичну послідовність відео і радіоімпульсів.

Періодична послідовність відео імпульсів
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,

де
picscalex100010009000003de00000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e01180000000500000031020100
0000050000000b0200000000050000000c020002a0021200000026060f001a00ffffffff
000010000000c0ffffffc6ffffff60020000c60100000b00000026060f000c004d617468
54797065000050001c000000fb0280fe0000000000009001000000000402001054696d65
73204e657720526f6d616e00ae87ed77d067ef77e8060a3700000a00040000002d010000
08000000320a6001ea0101000000297908000000320a6001e8000100000028791c000000
fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e00
ae87ed77d067ef77a3070a6900000a00040000002d01010004000000f001000008000000
320a6001660101000000747908000000320a600134000100000076790a00000026060f00
0a00ffffffff0100000000001c000000fb021000070000000000bc02000000cc01020222
53797374656d00770107662a07008a0100000a0007008a0107008a0100000a0004000000
2d01000004000000f0010100030000000000- форма одиночного імпульсу,
характеризується наступними параметрами: висотою (амплітудою) h,
тривалістю (шириною) і ; частотою проходження Fи=1/Т (Т – період
проходження); положенням імпульсів у часі щодо тактових крапок .
Змінюючи один з перерахованих параметрів відповідно до зміни сигналу, що
модулює, b(t), можна одержати чотири основних види імпульсної модуляції
(ІМ) відео імпульсів: амплітудна – імпульсну модуляцію (АIМ), модуляцію
імпульсів по ширині (ШІМ), частотно-імпульсну модуляцію (ЧIМ), час
імпульсну модуляцію (ВІМ).

Неперервне повідомлення s(t) являє собою деякий процес (первинний
сигнал), який на відміну від дискретного повідомлення у будь-який момент
часу t набуває значення, що належить неперервній множині S, тобто s S.
Реалізації переданого повідомлення можуть неперервне змінюватися у часі
й набувати будь-якої форми. Такі повідомлення зустрічаються наприклад, у
телефонії, радіомовленні, телебаченні та ін. Неперервні повідомлення
можуть передаватися безпосередньо або з допомогою модуляції. У першому
випадку переданий сигнал (сигнал в лінії зв’язку) пропорційний
переданому повідомленню

x(t)=ks(t),

де к – стала величина, що характеризує підсилення або ослаблення
повідомлення у передавальному пристрої системи електрозв’язку. У другому
– сигнал є деякою функцією передавального повідомлення: x(t)=x[t,s(t)],
x X (Х – множина значень переданого сигналу). Для сигналів, таких як ЧМ
і ФМ, залежність х від s нелінійна, а при АМ, БМ та ОМ – лінійна. Тому
відомі види модуляції розділяють на лінійні і нелінійні. Згідно з
класифікацією, введеною Котельниковим, розрізняють також прямі і непрямі
види модуляції. Прикладами сигналів з прямим видом модуляції є сигнали
АМ, ОМ, ФМ. У цих сигналах передане повідомлення входить до функції
x[t,s(t)] безпосередньо без будь-яких перетворень. Прикладом сигналу з
непрямим видом модуляції є сигнал ЧМ, в якому передане повідомлення
входить до функції x[t,s(t)] не безпосередньо, а під знаком інтеграла,
тому такий вид модуляції часто називають інтегральним.

Наявність спотворень і завад у каналі зв’язку призводить до того, що за
прийнятим сигналом приймач не точно відновлює передане повідомлення.
Проте, як і при передаванні дискретних повідомлень, за відомих
статистичних характеристик джерела повідомлень і каналу зв’язку, можна
поставити питання про побудову приймального пристрою (демодулятора),
який найкращим (оптимальним) способом обробляє результати спостережень,
що забезпечить потенціальну завадостійкість системи передавання
неперервних повідомлень. Теоретичною основою оптимального приймання
неперервних повідомлень є математична теорія фільтрування.

Структурна схема системи електрозв’язку представлена на рисунку 1.1

Вона складається з джерела повідомлень (ДП), модулятора, безперервного
каналу зв’язку (БКЗ), демодулятора і одержувача повідомлення (ОП). Кожна
з вказаних частин системи містить ще цілий ряд елементів. Зупинимося на
них детальніше.

Джерело повідомлень – це деякий об’єкт або система, інформацію про стан
або поведінку якого необхідно передати на відстань. Причому під об’єктом
мають на увазі людину, ЕОМ, автоматичний пристрій або що-небудь інше.
Інформація, що передається від ДП є непередбаченою для одержувача. Тому
кількісну міру інформації, що передається за системою в теорії
електрозв’язку виражають через статистичні (ймовірності) характеристики
повідомлень (сигналів). Повідомлення – є фізична форма представлення
інформації. Часто повідомлення представляють у вигляді струму або
напруження, які змінюються у часі, відображаючи інформацію, що
передається.

У ПДП повідомлення спочатку фільтрується з метою обмеження його спектра
деякою верхньою частотою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. Зазначимо, що фільтрація пов’язана з внесенням похибки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, що відображає ту частину повідомлення, яка
подавляється ФНЧ.

Модулятор – пристрій призначений для узгодження джерела повідомлень з
лінією зв’язку, що використовується. Модулятор формує сигнал який являє
собою електричне або електромагнітне коливання, здатне розповсюджуватися
по лінії зв’язку і однозначно пов’язане з повідомленням, що передається.
Сигнал на виході модулятора створюється внаслідок модуляції – процесу
зміни одного або декількох параметрів переносника згідно із законом
моделюючого сигналу.

Для запобігання внесмугових випромінювань в одно канальному або при
організації багатоканального зв’язку, а також для встановлення
необхідного ВСШ на вході приймача, сигнал фільтрується і посилюється у
вихідному каскаді ПДП.

Сигнал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 з
виходу ПДП поступає в лінію зв’язку, де на нього накладається перешкода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. На
вхід ПРП впливає суміш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 переданого сигналу
і перешкоди. Тут, у вхідному каскаді ПРП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фільтрується і подається на демодулятор.

При демодуляції з прийнятого сигналу виділяється закон зміни
інформаційного параметра.

У системах передачі безперервних повідомлень вірність (якість) передачі
вважається задовільною, якщо сумарна відносна СКП відновлення не
перевищує допустиму, тобто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.

За даною схемою, особливості визначення завадостійкості передавання
неперервних повідомлень включають такі особливості:

1. оцінюється вірогідність прийняття рішення у найскладнішій задачі
приймання, а саме задачі фільтрування (відновлення переданого
повідомлення із спотвореного шумами спостережуваного сигналу;

2. корисними перетвореннями неперервних повідомлень на сигнали і навпаки
у процесі передавання є модуляція і демодуляція, а тому по суті
оцінюється завадостійкість способу модуляції і демодуляції є й інші
корисні та паразитні перетворення від виходу модулятора до входу
демодулятора, які впливають на якість фільтрування.

Перелічені особливості передавання неперервних повідомлень призводять до
того, що ускладнюється розв’язання задачі синтезу оптимальних приймачів
і оцінки їх завадостійкості. Тому конкретні задачі оптимального
приймання ставлять так, щоб використати накопичений досвід і результати,
отримані при визначенні завадостійкості системи передавання дискретних
повідомлень.

2. АНАЛІЗ СТАТИСТИЧНИХ ХАРАКТЕРИСТИК І ПАРАМЕТРІВ ПЕРЕДАВАЄМОГО
ПОВІДОМЛЕННЯ

За умовою курсової роботи вихідне безперервне повідомлення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 являє (зображає) собою стаціонарний
гаусовский випадковій процес з нульовим математичним чеканням (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, де М – знак статистичного усереднення по безлічі
реалізації), потужність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 і функція кореляції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 якого задані в табл. 1.

Гаусовский (нормальний) випадковий процес у будь – який момент часу
характеризується одномірної ФПВ наступного (такого) виду:
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(2.1)

В часовій і спектральній областях стаціонарний випадковий процес
визначається, відповідно, функцією кореляції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 і спектральній щільності потужності
чи енергетичним спектром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, де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. . Ці характеристики зв’язані парою перетворень Вінера –
Хінчина:
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(2.2)
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(2.3)

Враховуючи, що для стаціонарного випадкового процесу обидві ці функції
дійсні і парні, тоді відношення (2.2 і 2.3) можливо записати у такому
вигляді:
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(2.4)
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(2.5)

Функція кореляції згідно з вихідними даними має такий вигляд:
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(2.6)

Тепер підставимо відомі величини у формулу (2.6)
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 (2.7)

По (2.7) побудуємо графік функції кореляції:
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7ffffffffffffffffffff7ffffffffffffffffffff7fffffffff001fffffffffffffffff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Рис. 2.1 – Функція кореляції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Тепер згідно (2.4) розрахуємо спектр щільності потужності повідомлення:

picscalex910100090000031005000004001700000000000500000009020000000004000
00002010100050000000102ffffff00040000002e0118000500000031020100000005000
0000b0200000000050000000c02800940361200000026060f001a00ffffffff000010000
000c0ffffffaaffffff003600002a0900000b00000026060f000c004d617468547970650
000300209000000fa02000010000000000000002200040000002d0100000500000014027
6013d2305000000130240033d23050000001402760137240500000013024003372409000
000fa02000009000000000000002200040000002d0101000500000014023c01e32705000
00013024402e3270500000014023c01992805000000130244029928040000002d0100000
500000014024006be0e0500000013020a08be0e0500000014024006b80f0500000013020
a08b80f040000002d01010005000000140206060b150500000013020e070b15050000001
4020606c1150500000013020e07c11510000000fb02c0fd0000000000009001000000020
002001053796d626f6c0002040000002d01020008000000320a0f081c0301000000f2000
8000000320a4503011b01000000f20008000000320a45036a0701000000f20010000000f
b0220ff0000000000009001000000020002001053796d626f6c0002040000002d0103000
4000000f001020008000000320aca051c0301000000a50008000000320ac2067a1301000
000d70008000000320ac2061f12010000002d0008000000320a0001011b01000000a5000
8000000320af8019e26010000002d0008000000320a00016a0701000000a50010000000f
b0280fe0000000000009001000000020002001053796d626f6c0002040000002d0102000
4000000f001030008000000320a85076c1e01000000d70008000000320a8507701c01000
000d70008000000320a8507901a01000000d70008000000320a8507621601000000d7000
8000000320a8507a71001000000d70008000000320a8507070e01000000d700080000003
20a8507030b01000000d70008000000320a85072f08010000002b0008000000320a85072
70601000000d70008000000320a85076d0201000000d70008000000320a85073c0001000
0003d0008000000320abb022e35010000003d0008000000320abb02443101000000d7000
8000000320abb02482f01000000d70008000000320abb02682d01000000d700080000003
20abb023a2901000000d70008000000320abb02262501000000d70008000000320abb028
62201000000d70008000000320abb02fb1f010000002b0008000000320abb02f31d01000
000d70008000000320abb02521a01000000d70008000000320abb022118010000003d000
8000000320abb02371401000000d70008000000320abb023b1201000000d700080000003
20abb025b1001000000d70008000000320abb022d0c01000000d70008000000320abb02b
b0601000000d70008000000320abb028a04010000003d0017000000fb0220ff000000000
0009001000000cc0402001054696d6573204e657720526f6d616e2043797200ccac04000
0002d01030004000000f001020008000000320a2809350301000000300008000000320ac
206a31302000000313008000000320ac206a71202000000333108000000320ad906210d0
1000000330008000000320a5e041a1b01000000300008000000320a5e048307010000003
00017000000fb0280fe0000000000009001000000cc0402001054696d6573204e6577205
26f6d616e2043797200ccac040000002d01020004000000f001030008000000320a8507d
31f01000000290008000000320a85078b1901000000320009000000320a8507031704000
000636f732808000000320a8507e00f01000000290008000000320a8507870b020000003
13008000000320a85075b0902000000333108000000320a8507330701000000310008000
000320a8507c80601000000280008000000320a8507220501000000320008000000320a8
507c204010000002e0008000000320a8507020401000000320008000000320a850768010
1000000320008000000320abb02ab3201000000290008000000320abb02632c010000003
20009000000320abb02db2904000000636f732808000000320abb025f240100000029000
8000000320abb02ff1e01000000310008000000320abb02941e010000002800080000003
20abb024d1901000000320008000000320abb029e1501000000290008000000320abb025
60f01000000320009000000320abb02ce0c04000000636f732808000000320abb02660b0
1000000290008000000320abb02180a01000000280008000000320abb02b605010000003
20008000000320abb02af0301000000290008000000320abb020b0201000000280017000
000fb0260ff0000000000009001000000cc0402001054696d6573204e657720526f6d616
e2043797200ccac040000002d01030004000000f001020008000000320a5e068d1401000
000330010000000fb0280fe0000000000009001010000020002001053796d626f6c00020
40000002d01020004000000f001030008000000320a85071b21010000007400080000003
20a8507eb1e01000000740008000000320a85071e1b01000000700008000000320a8507b
f0e01000000740008000000320abb02f33301000000740008000000320abb02c33101000
000740008000000320abb02f62d01000000700008000000320abb023e230100000074000
8000000320abb02392101000000620008000000320abb02e616010000007400080000003
20abb02b61401000000740008000000320abb02e91001000000700008000000320abb027
e0a01000000740010000000fb0220ff0000000000009001010000020002001053796d626
f6c0002040000002d01030004000000f001020008000000320ac20624150100000074000
8000000320af801fc2701000000740008000000320af801302701000000620017000000f
b0280fe0000000000009001010000cc0402001054696d6573204e657720526f6d616e204
3797200ccac040000002d01020004000000f001030008000000320a85075b20010000006
40008000000320a8507621d01000000660008000000320a85074d1101000000650008000
000320abb02333301000000640008000000320abb023a3001000000660008000000320ab
b02cc2501000000650008000000320abb02f41b02000000506108000000320abb0226160
1000000640008000000320abb022d1301000000660008000000320abb025d08020000004
26108000000320abb02e40201000000660008000000320abb022d0001000000470017000
000fb0220ff0000000000009001010000cc0402001054696d6573204e657720526f6d616
e2043797200ccac040000002d01030004000000f001020008000000320a1b03550101000
00061000a00000026060f000a00ffffffff01000000000010000000fb021400090000000
000bc02000000cc0102022253797374656d00cc040000002d01020004000000f00103000
30000000000(2.8)

Побудуємо графік спектра щільності потужності повідомлення згідно з
виразом (2.8)
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fffffdffffffff8fffffffffffffbfffffffffffffffffffffefffffffffffffffffffff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Рис. 2.2 – Спектр щільності потужності повідомлення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По функції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 знаходимо енергетичну ширину спектра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, за формулою (2.9):
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 (2.9)

де
picscalex100010009000003de0000000200170000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c024002a0031200000026060f001a00ffffffff00001000
0000c0ffffffa5ffffff60030000e50100000b00000026060f000c004d61746854797065
0000600017000000fb0220ff0000000000009001000000cc0402001054696d6573204e65
7720526f6d616e2043797200ccb1040000002d01000009000000320ae001dd0103000000
6d61780017000000fb0220ff0000000000009001010000cc0402001054696d6573204e65
7720526f6d616e2043797200ccb1040000002d01010004000000f001000008000000320a
e001470101000000610017000000fb0280fe0000000000009001010000cc040200105469
6d6573204e657720526f6d616e2043797200ccb1040000002d01000004000000f0010100
08000000320a80012d000100000047000a00000026060f000a00ffffffff010000000000
10000000fb021400090000000000bc02000000cc0102022253797374656d00cc04000000
2d01010004000000f0010000030000000000 – максимальне значення
енергетичного спектру.
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Ширина спектра – це область частот, у якій зосереджена основна частка
енергії повідомлення (сигналу); інтервал кореляції це – проміжок часу
між перетинами випадкового процесу, у межах якого ще спостерігається
їхній взаємозв’язок (кореляція), при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- цим взаємозв’язком (кореляцією) зневажають.
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(2.10)

По функції кореляції Ва() знайдемо інтервал кореляції к по формулі:

picscalex100010009000003eb0100000300170000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c02c004600e1200000026060f001a00ffffffff00001000
0000c0ffffffa5ffffff200e0000650400000b00000026060f000c004d61746854797065
0000000109000000fa02000010000000000000002200040000002d010000050000001402
60027f0305000000130260023a0710000000fb0280fe0000000000009001010000020002
001053796d626f6c0002040000002d01010008000000320ac002360d0100000074000800
0000320ac002240b01000000740008000000320ac002100001000000740017000000fb02
80fe0000000000009001010000cc0402001054696d6573204e657720526f6d616e204379
7200cc87040000002d01020004000000f001010008000000320ac002760c010000006400
08000000320ac002030902000000426108000000320aee03a30302000000426117000000
fb0220ff0000000000009001010000cc0402001054696d6573204e657720526f6d616e20
43797200cc87040000002d01010004000000f001020008000000320a2003000101000000
4b0010000000fb02c0fd0000000000009001000000020002001053796d626f6c00020400
00002d01020004000000f001010008000000320a4a030d0801000000f20010000000fb02
20ff0000000000009001000000020002001053796d626f6c0002040000002d0101000400
0000f001020008000000320a05010d0801000000a50010000000fb0280fe000000000000
9001000000020002001053796d626f6c0002040000002d01020004000000f00101000800
0000320ac002760701000000d70008000000320ac0024602010000003d0017000000fb02
20ff0000000000009001000000cc0402001054696d6573204e657720526f6d616e204379
7200cc87040000002d01010004000000f001020008000000320a63042608010000003000
17000000fb0280fe0000000000009001000000cc0402001054696d6573204e657720526f
6d616e2043797200cc87040000002d01020004000000f001010008000000320ac0020c0c
01000000290008000000320ac002be0a01000000280008000000320aee03a70601000000
290008000000320aee03e60501000000300008000000320aee035e050100000028000800
0000320acc01fd040100000031000a00000026060f000a00ffffffff0100000000001000
0000fb021400090000000000bc02000000cc0102022253797374656d00cc040000002d01
010004000000f0010200030000000000(2.11)
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Тепер підставимо відомі величини у формулу (2.11) і вичислимо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:
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(2.12)
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Вихідне повідомлення перед його аналого-цифровим перетворенням
пропускається через ідеальний ФНЧ. Фільтрація – це лінійне
перетворення.-Тому відгук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 ФНЧ на гаусовский вплив буде також гаусовским випадковим
процесом з нульовим математичним чеканням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 і потужністю, обумовленої зі
співвідношення:
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(2.13)

Потужність відгуку розраховуємо по формулі:
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(2.14)
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Тепер підставимо відомі величини у формулу (2.14) і вичислимо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:

picscalex1000100090000033e0200000200170000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c02c004401f1200000026060f001a00ffffffff00001000
0000c0ffffffb7ffffff001f0000770400000b00000026060f000c004d61746854797065
0000000110000000fb02c0fd0000000000009001000000020002001053796d626f6c0002
040000002d01000008000000320a4a034b1001000000f20008000000320a4a038d050100
0000f20010000000fb0280fe0000000000009001000000020002001053796d626f6c0002
040000002d01010004000000f001000008000000320ac0027d1c01000000d70008000000
320ac0021717010000003d0008000000320ac0028a0e01000000d70008000000320ac002
590c010000003d0008000000320ac002930401000000d70008000000320ac00262020100
00003d0010000000fb0220ff0000000000009001000000020002001053796d626f6c0002
040000002d01000004000000f001010008000000320af300400501000000440017000000
fb0220ff0000000000009001000000cc0402001054696d6573204e657720526f6d616e20
43797200ccdd040000002d01010004000000f001000008000000320a0501291102000000
393808000000320a0501f110010000002e0009000000320a0501310f0400000033383734
08000000320a6304641001000000300008000000320a1402471e01000000320008000000
320a6304a60501000000300017000000fb0280fe0000000000009001000000cc04020010
54696d6573204e657720526f6d616e2043797200ccdd040000002d01000004000000f001
010009000000320ac0024119040000003631323808000000320ac002e118010000002e00
08000000320ac002211801000000310008000000320ac002b11401000000290008000000
320ac0020d1301000000280008000000320ac002850d01000000320008000000320ac002
f30901000000290008000000320ac0024f0801000000280008000000320ac0028e030100
0000320017000000fb0280fe0000000000009001010000cc0402001054696d6573204e65
7720526f6d616e2043797200ccdd040000002d01010004000000f001000008000000320a
c002301d01000000420008000000320ac002391502000000646608000000320ac002e613
01000000660008000000320ac002271102000000476108000000320ac0027b0a02000000
646608000000320ac002280901000000660008000000320ac00269060200000047610800
0000320ac002440001000000500017000000fb0220ff0000000000009001010000cc0402
001054696d6573204e657720526f6d616e2043797200ccdd040000002d01000004000000
f001010008000000320af300c90502000000666108000000320a20031f01010000005800
0a00000026060f000a00ffffffff01000000000010000000fb021400090000000000bc02
000000cc0102022253797374656d00cc040000002d01010004000000f001000003000000
0000(2.15)

Тут враховано, що амплітудно-частотна характеристика ідеального ФНЧ
дорівнює одиниці в смузі частот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 і нулю поза цією
смугою. Крім того, його смуга пропущення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 прийнята рівній енергетичній ширині спектра повідомлення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, де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 і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 відповідно, нижня і верхня частоти, що для умов
домашнього завдання рівні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,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 . Звідси частота зрізу ИФНЧ дорівнює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 . Це говорить про те, що відгук ИФНЧ є
обмеженим по спектрі повідомленням. У ньому не містяться складові
вихідного повідомлення на частотах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. Кількісно ці втрати при фільтрації
повідомлення характеризують середньо квадратичну похибкою (СКП):

Середньо квадратичну похибку знайдемо по формулі:
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(2.16)
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(2.17)

Дане значення похибки фільтрації перевищує допустиме значення загальної
похибки доп. Для його зменшення збільшимо енергетичну ширину спектра –
picscalex100010009000003070100000200170000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c024002e0071200000026060f001a00ffffffff00001000
0000c0ffffffa5ffffffa0070000e50100000b00000026060f000c004d61746854797065
0000600017000000fb0280fe0000000000009001000000cc0402001054696d6573204e65
7720526f6d616e2043797200cc81040000002d0100000a000000320a8001d60305000000
31303030300010000000fb0280fe0000000000009001000000020002001053796d626f6c
0002040000002d01010004000000f001000008000000320a8001cc02010000003d000800
0000320a80013c0001000000440017000000fb0220ff0000000000009001010000cc0402
001054696d6573204e657720526f6d616e2043797200cc81040000002d01000004000000
f001010008000000320ae001be0101000000610017000000fb0280fe0000000000009001
010000cc0402001054696d6573204e657720526f6d616e2043797200cc81040000002d01
010004000000f001000008000000320a800127010100000066000a00000026060f000a00
ffffffff01000000000010000000fb021400090000000000bc02000000cc010202225379
7374656d00cc040000002d01000004000000f0010100030000000000 Гц. Тоді:
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(2.1
8)

picscalex100010009000003a00100000200170000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c026002c0191200000026060f001a00ffffffff00001000
0000c0ffffffb6ffffff80190000160200000b00000026060f000c004d61746854797065
0000600017000000fb0220ff0000000000009001000000cc0402001054696d6573204e65
7720526f6d616e2043797200cc79040000002d01000008000000320af400121901000000
320008000000320a00028e0101000000310017000000fb0280fe00000000000090010000
00cc0402001054696d6573204e657720526f6d616e2043797200cc79040000002d010100
04000000f001000009000000320aa0013b1703000000202042000a000000320aa001ea13
050000002e303836320008000000320aa0012a1301000000300009000000320aa001b30e
040000003131333808000000320aa001530e010000002e0008000000320aa001930d0100
0000320008000000320aa0014e0b01000000320008000000320aa001ee0a010000002e00
08000000320aa0012e0a01000000320010000000fb0280fe000000000000900100000002
0002001053796d626f6c0002040000002d01000004000000f001010008000000320aa001
0312010000003d0008000000320aa001670c010000002d0008000000320aa00102090100
00003d0008000000320aa001ce05010000002d0008000000320aa0018202010000003d00
17000000fb0280fe0000000000009001010000cc0402001054696d6573204e657720526f
6d616e2043797200cc79040000002d01010004000000f001000008000000320aa0010707
02000000507808000000320aa001bb0302000000506108000000320aa001440001000000
500017000000fb0220ff0000000000009001010000cc0402001054696d6573204e657720
526f6d616e2043797200cc79040000002d01000004000000f001010008000000320a0002
11010100000053000a00000026060f000a00ffffffff01000000000010000000fb021400
090000000000bc02000000cc0102022253797374656d00cc040000002d01010004000000
f0010000030000000000(2.19)
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(2.20)

3. ХАРАКТЕРИСТИКИ І ПАРАМЕТРИ СИГНАЛІВ ШИРОТНО-ІМПУЛЬНОЇ МОДУЛЯЦІЇ

Система зв’язку виконує функцію передавання повідомлення від джерела
повідомлень, як правило, безпосередньо не може бути переданий по каналу
зв’язку. Основна причина цього – його відносна низькочастотність.
Модуляція служить для перенесення спектра сигналу на досить високу
частоту.

Другим класичним після гармонічного носія є носій у вигляді періодичної
послідовності відео імпульсів:
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(3.1)

де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 – максимальне значення імпульсу;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 – функція, що описує поодинокий імпульс;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 – період повторення імпульсів з тривалістю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, (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 , звичайно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);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 – часовий зсув імпульсу при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 – відносно початку координат.

Якщо тривалість імпульсу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змінюється відповідно до моделюючого повідомлення, маємо
широтно-імпульсну модуляцію. У цьому разі сигнал ШІМ зручно записати
так:
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(3.2)

де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 – імпульс прямокутної форми;
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 –
функція Хевісайда (функція включення);

Періодична послідовність імпульсів ряд Фур`є:
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(3.3)

де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 – поодинокий
прямокутний імпульс;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;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 та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 визначають положення переднього та заднього фронтів
кожного імпульсу.

При тональній модуляції:
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(3.4)

Підставимо (3.4) у співвідношення (3.3), одержимо зображення сигналу ШІМ
у вигляді:
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(3.5)

де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 – функція Бесселя n – го порядку аргументу
(picscalex1000100090000032d010000030017000000000005000000090200000000040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)
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(3.6)

picscalex100010009000003de0000000200170000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c02000280051200000026060f001a00ffffffff00001000
0000c0ffffffb6ffffff40050000b60100000b00000026060f000c004d61746854797065
0000300017000000fb0220ff0000000000009001000000cc0402001054696d6573204e65
7720526f6d616e2043797200ccaa040000002d01000008000000320af400ca0401000000
320017000000fb0280fe0000000000009001010000cc0402001054696d6573204e657720
526f6d616e2043797200ccaa040000002d01010004000000f001000008000000320aa001
810301000000470008000000320aa001440002000000506110000000fb0280fe00000000
00009001000000020002001053796d626f6c0002040000002d01000004000000f0010100
08000000320aa0015b02010000003d000a00000026060f000a00ffffffff010000000000
10000000fb021400090000000000bc02000000cc0102022253797374656d00cc04000000
2d01010004000000f0010000030000000000picscalex100010009000003b70000000200
170000000000050000000902000000000400000002010100050000000102ffffff000400
00002e01180005000000310201000000050000000b0200000000050000000c02c0012004
1200000026060f001a00ffffffff000010000000c0ffffffc5ffffffe003000085010000
0b00000026060f000c004d617468547970650000300017000000fb0280fe000000000000
9001010000cc0402001054696d6573204e657720526f6d616e2043797200ccc204000000
2d01000008000000320a6001000301000000410008000000320a60012d00010000004700
10000000fb0280fe0000000000009001000000020002001053796d626f6c000204000000
2d01010004000000f001000008000000320a6001af01010000003d000a00000026060f00
0a00ffffffff01000000000010000000fb021400090000000000bc02000000cc01020222
53797374656d00cc040000002d01000004000000f0010100030000000000

picscalex1000100090000039c0100000400170000000000050000000902000000000400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(3.7)
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(3.8)
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 – початкова фаза
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dfff9ffffdfffdffffdfffdffff5fffdffffdfffdffffdfffd7fffff0010101fffffffff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Рис. 3 – Сигнал f(t)

Період дискретизації:
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(3.9)
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Виберемо: K=4

Тоді:
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(3.10)

Знайдемо власну частоту імпульсів:
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(3.11)

Знайдемо тривалість імпульсів:
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(3.12)

де q – cкважність повинна бути значно більше 1, тоді, беремо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:
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picscalex100010009000003ab0100000300170000000000050000000902000000000400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(3.13)

Використавши табличні значення функції Бесселя знайдемо:
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(3.14)

де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 – амплітуда бічних гармонік, що потрапили в смугу пропускання
фільтра.
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(3.15)
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(3.16)
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(3.17)

Для того, щоб передати сигнал в лінію зв’язку треба використати подвійну
модуляцію ШІМ –АМ.

Ширина спектра широко – імпульсного модульованого сигналу визначається
по формулі:
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(3.18)

Ширина спектра сигналу в лінії зв’язку визначається по формулі:
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(3.19)
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ffffffffffffffffffffffdff8fffff5d77fffffffffffffffbfffffffffffffdfffffff
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f8ffff8638fe7fffffffffffffbfffffffffffffdffffffffffffff7ffffffffffffffff
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ffbfffffffffffffdffffffffffffff7ffffffffffffffffffffffffffffffffffffffff
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fffffff7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdf
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ffbfffffffffffffdffffffffffffff7ffffffffffffffffffffffffffffffffffffffff
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ffffffffffffffffffffffdff8fffffffffe7fffffffffffffbfffffffffffffdfffffff
fffffff7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdf
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ffbfffffffffffffdffffffffffffff7ffffffffffffffffffffffffffffffffffffffff
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ffffffffffffffffffffffdff8fffffffffe7fffffffffffffbfffffffffffffdfffffff
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ffffffffffffffffffffffffffffffffffffffffffffffdff8fffffffffe7fffffffffff
ffbfffffffffffffdffffffffffffff7ffffffffffffffffffffffffffffffffffffffff
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ffffffffffffffffffffffdff8fffffffffe7fffffffffffffbfffffffffffffdfffffff
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ffffffffffffffffffffffdff8ffbf75d77e7fffffffffffffbfffffffffffffdfffffff
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f8ffbf75d77e7fffffffffffffbfffffffffffffdfffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffdff8ffbf75d77fffffffffffff
ffbfffffffffffffdfffffffffffffffffffffffffffffffffffffffffffffffffffffff
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ffffffffffffffffffffffdff8ffbf75d77e7fffffffffffffbfffffffffffffdfffffff
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f8febf75d77e7fffffffffffffbfffffffffffffdfffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
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ffbfffffffffffffdfffffffffffffffffffffffffffffffffffffffffffffffffffffff
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ffffffffffffffffffffffdff8ffbf8e38fe7fffffffffffffbfffffffffffffdfffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
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f8fffffffffe7fffffffffffffbfffffffffffffdfffffffffffffffffffffffffffffff
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ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
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f8fffffffffe7fffffffffffffbfffffffffffffdfffffffffffffffffffffffffffffff
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f8fffffffffe7fffffffffffffbfffffffffffffdfffffffffffffffffffffffffffffff
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ffbfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
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ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
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fffffffffffffffffffffffffffffffffffffffffffffffff8ffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffef7fff
1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
fffffffffffffffffffffffff8ffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffef7fffbfffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
f8ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffe04a618784c63fffffffffffffffffffffffffffffffffffffffff
fffffffffffffffffffffffffffffffffffffffffffffffff8ffffffffffffffffffffff
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fffffffffffffffffffffffffffffffffffffffffffaf1c1bb076ddfffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
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fffffffffffffffffffffffffffffffffffffffffffffffff8ffffffffffffffffffffff
fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffaca63
278e063fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
fffffffffffffffffffffffff8ffffffffffffffffffffffffffffffffffffffffffffff
fffffffffffffffffffffffffffffffffffffffffffaffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
f8ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
fffffffffffffffffff07fffffffffffffffffffffffffffffffffffffffffffffffffff
fffffffffffffffffffffffffffffffffffffffffffffffff8ffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
fffffffffffffffffffffffff8ffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
f8ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
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ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
fffffffffffffffffffffffff80c00000040092900aa000000000000008102fc03000000
00040000002701ffff030000000000Рис. 3.1 – Випадковий процес з Гаусовським
розподілом, модуляція ШІМ

4. A?AOOAAIIss IA?AOEIAe A E?I?? CA’ssCEO

Iiaeaeue aocueei nioaiaiai aaonianueeiai aacia?a?aiiai eaiaeo ca’yceo
iiaeia i?aaenoaaeoe o aeaeyae?: ao?aeiee ?aeaaeueiee aaon?anueeee
o?eueo?, e?i?y ca’yceo aac ao?ao c aaeeoeaiith aaon?anueeith
ia?aoeiaeith (a?eei ooiii), aeo?aeiee nioaiaee o?eueo?. Oeaio?aeuei?
/anoioe nioaiaiai o?eueo?a ni?aiaaeathoue c /anoioith ia?aiinieea, nioae
i?iiouaiiy nioaiaiai o?eueo?a ni?aiaaeathoue c oe?eiith niaeo?a neaiaeo.
O nioc? i?iiouaiiy eiao?oe??io i?iiouaiiy nioaiaiai o?eueo?a i?eeia?ii
??aiei iaeeieoe?.

Ia?aoeiaea c ??aiii??iei niaeo?ii – a?eee ooi. Niaeo? u?eueiino?
iiooaeiino? ?? ??aiee:
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(4.1)

Iiooaei?noue aaonianueeiai a?eiai ooio
picscalex100010009000003150100000200170000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c026002c0051200000026060f001a00ffffffff00001000
0000c0ffffffb6ffffff80050000160200000b00000026060f000c004d61746854797065
0000600017000000fb0220ff0000000000009001000000cc0402001054696d6573204e65
7720526f6d616e2043797200cc93040000002d01000008000000320af400f00401000000
320008000000320a0002920101000000330017000000fb0220ff00000000000090010100
00cc0402001054696d6573204e657720526f6d616e2043797200cc93040000002d010100
04000000f001000008000000320a0002ce0401000000f80008000000320a000204010100
0000530017000000fb0280fe0000000000009001010000cc0402001054696d6573204e65
7720526f6d616e2043797200cc93040000002d01000004000000f001010008000000320a
a001b70301000000470008000000320aa001450001000000500010000000fb0280fe0000
000000009001000000020002001053796d626f6c0002040000002d01010004000000f001
000008000000320aa0018902010000003d000a00000026060f000a00ffffffff01000000
000010000000fb021400090000000000bc02000000cc0102022253797374656d00cc0400
00002d01000004000000f0010100030000000000 a nioc? i?iiouaiiy nioaiaiai
o?eueo?a aaiiao?e/ii ciaoiaeeoueny ye ieiua i?yiieooieea c aenioith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 ? iniiaith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.

picscalex1000100090000034d0100000200170000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c026002a00c1200000026060f001a00ffffffff00001000
0000c0ffffffb6ffffff600c0000160200000b00000026060f000c004d61746854797065
0000600017000000fb0220ff0000000000009001010000cc0402001054696d6573204e65
7720526f6d616e2043797200ccb1040000002d01000008000000320a00024b0b02000000
cbc708000000320a0002ce0401000000f80008000000320a000204010100000053001700
0000fb0280fe0000000000009001010000cc0402001054696d6573204e657720526f6d61
6e2043797200ccb1040000002d01010004000000f001000008000000320aa001b50a0100
0000660008000000320aa001390701000000470008000000320aa001b703010000004700
08000000320aa001450001000000500010000000fb0280fe000000000000900100000002
0002001053796d626f6c0002040000002d01000004000000f001010008000000320aa001
ca0901000000440008000000320aa001280901000000d70008000000320aa0010b060100
00003d0008000000320aa0018902010000003d0017000000fb0220ff0000000000009001
000000cc0402001054696d6573204e657720526f6d616e2043797200ccb1040000002d01
010004000000f001000008000000320a0002500801000000300008000000320af400f004
01000000320008000000320a000292010100000033000a00000026060f000a00ffffffff
01000000000010000000fb021400090000000000bc02000000cc0102022253797374656d
00cc040000002d01000004000000f0010100030000000000,(4.2)

aea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 – oe?eia niaeo?a.
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(4.3)

Ine?eueee oea cia/aiiy iaaaaaoi ia?aaeuo? aeiionoeia cia/aiiy, oi
aiae?coth/e aiaeia?/i? nenoaie i?eeiaii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, oiae?:
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(4.4)

Oaia? ciaeaeaii iioeaeo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:

picscalex100010009000003440100000300170000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c020004e0051200000026060f001a00ffffffff00001000
0000c0ffffffadffffffa0050000ad0300000b00000026060f000c004d61746854797065
0000c00009000000fa02000010000000000000002200040000002d010000050000001402
20024f030500000013022002840517000000fb0280fe0000000000009001010000cc0402
001054696d6573204e657720526f6d616e2043797200ccbc040000002d01010008000000
320aae03960302000000506108000000320a7801730301000000500017000000fb0220ff
0000000000009001010000cc0402001054696d6573204e657720526f6d616e2043797200
ccbc040000002d01020004000000f001010008000000320ad80142040100000053001700
0000fb0220ff0000000000009001000000cc0402001054696d6573204e657720526f6d61
6e2043797200ccbc040000002d01010004000000f001020008000000320ad801d0040100
0000330008000000320ae002160101000000330010000000fb0280fe0000000000009001
000000020002001053796d626f6c0002040000002d01020004000000f001010008000000
320a80021602010000003d0010000000fb0280fe00000000000090010100000200020010
53796d626f6c0002040000002d01010004000000f001020008000000320a80021f000100
000064000a00000026060f000a00ffffffff01000000000010000000fb02140009000000
0000bc02000000cc0102022253797374656d00cc040000002d01020004000000f0010100
030000000000(4.5)
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(4.6)

I?iioneia ni?iiiaei?noue eaiaeo ca’yceo:

picscalex830100090000030203000003001700000000000500000009020000000004000
00002010100050000000102ffffff00040000002e0118000500000031020100000005000
0000b0200000000050000000c02c00460361200000026060f001a00ffffffff000010000
000c0ffffffb0ffffff20360000700400000b00000026060f000c004d617468547970650
000000109000000fa02000010000000000000002200040000002d0100000500000014026
002380a05000000130260026d0c05000000140260026d180500000013026002271b05000
00014026002733105000000130260028f3517000000fb0280fe000000000000900100000
0cc0402001054696d6573204e657720526f6d616e2043797200cca1040000002d0101000
8000000320ac002a435010000005d0008000000320aee032b3301000000f100090000003
20acc01a83303000000eee42e0008000000320acc01513301000000200009000000320ac
c018f3103000000e4e22e0008000000320ac002e230010000005b0008000000320ac0029
e3001000000200008000000320ac0022d2f02000000383908000000320ac002cd2e01000
0002e000b000000320ac0028d2907000000313136333837350008000000320ac002a0270
1000000290008000000320ac002e82601000000350008000000320ac0028826010000002
e0008000000320ac002082502000000323809000000320ac0029c22040000006c6f67280
a000000320ac0026b1d0600000038303030303008000000320aee039f190200000030380
8000000320aee033f19010000002e0008000000320aee037f18010000003000080000003
20acc01fd1901000000320008000000320acc019d19010000002e0008000000320acc01d
d1801000000320008000000320ac002671601000000310009000000320ac002e21303000
0006c6f67000a000000320ac002b10e0600000038303030303008000000320ac00232080
1000000310008000000320ac0026806020000006c6717000000fb0220ff0000000000009
001000000cc0402001054696d6573204e657720526f6d616e2043797200cca1040000002
d01020004000000f001010008000000320a4e04b90b01000000330010000000fb0280fe0
000000000009001000000020002001053796d626f6c0002040000002d01010004000000f
001020008000000320ac0027f28010000003d0008000000320ac002132201000000d7000
8000000320ac0024a1c010000003d0008000000320ae802581b01000000f700080000003
20a1c04581b01000000f80008000000320aef01581b01000000f60008000000320ae802c
c1501000000e70008000000320a1c04cc1501000000e80008000000320aef01cc1501000
000e60008000000320ac0024b17010000002b0008000000320ac002591301000000d7000
8000000320ac002900d010000003d0008000000320a5a039e0c01000000f700080000003
20ab1029e0c01000000f70008000000320a53049e0c01000000f80008000000320ab8019
e0c01000000f60008000000320a5a03970701000000e70008000000320ab102970701000
000e70008000000320a5304970701000000e80008000000320ab801970701000000e6000
8000000320ac0021609010000002b0008000000320ac002df0501000000d700080000003
20ac002d60201000000440008000000320ac002a101010000003d0017000000fb0220ff0
000000000009001010000cc0402001054696d6573204e657720526f6d616e2043797200c
ca1040000002d01020004000000f001010008000000320a4e042b0b01000000530008000
000320a2003670402000000cbc717000000fb0280fe0000000000009001010000cc04020
01054696d6573204e657720526f6d616e2043797200cca1040000002d01010004000000f
001020008000000320aee035c0a01000000500008000000320acc017f0a0200000050610
8000000320ac002c10301000000660008000000320ac0022d000100000043000a0000002
6060f000a00ffffffff01000000000010000000fb021400090000000000bc02000000cc0
102022253797374656d00cc040000002d01020004000000f0010100030000000000(4.7)

5. ?IC?AOOIIE OA?AEOA?ENOEE I?EEIA*A

Caaaaeino?ee?noue nenoai ia?aaea/? aacia?a?aieo iia?aeiieaiue
ioe?ith?oueny ae?a?eoai:
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(5.2)

aea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- a?aeiioaiiy neaiae/ooi ia aeoiae? i?eeia/a;
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 –
a?aeiioaiiy neaiae/ooi ia aoiae? i?eeia/a.

Aeey nenoai O?I – AI aea?ao i?e iioeiaeueiiio i?eeii? aecia/a?oueny oae:

?aaeueiee:

picscalex83010009000003dc02000004001700000000000500000009020000000004000
00002010100050000000102ffffff00040000002e0118000500000031020100000005000
0000b0200000000050000000c022009401b1200000026060f001a00ffffffff000010000
000c0ffffffb7ffffff001b0000d70800000b00000026060f000c004d617468547970650
000300209000000fa02000008000000000000002200040000002d0100000500000014028
80272050500000013028802b7070500000014026c06bb030500000013026c06e50c09000
000fa02000010000000000000002200040000002d01010005000000140260049b0305000
00013026004050d040000002d0100000500000014020202241305000000130202026d160
50000001402b6066e0f050000001302b6069818040000002d0101000500000014026004a
a0e0500000013026004e61a10000000fb0280fe000000000000900101000002000200105
3796d626f6c0002040000002d01020008000000320a1607ef19010000006700080000003
20a9003231301000000640010000000fb0280fe000000000000900100000002000200105
3796d626f6c0002040000002d01030004000000f001020008000000320a1607741901000
000d70008000000320a8307ad1801000000fa0008000000320aa908ad1801000000fb000
8000000320a0e06ad1801000000f90008000000320a8307ca0e01000000ea00080000003
20aa908ca0e01000000eb0008000000320a0e06ca0e01000000e90008000000320a44086
115010000002b0008000000320a4408ec11010000002b0008000000320ac004710d01000
0003d0008000000320afa07ae09010000002b0008000000320afa073906010000002b000
8000000320ac0046202010000003d0017000000fb0220ff0000000000009001000000cc0
402001054696d6573204e657720526f6d616e2043797200cc83040000002d01020004000
000f001030008000000320aa408e41701000000330008000000320aa4087214010000003
20008000000320aa4080e1101000000310008000000320a5a08310c01000000330008000
000320a5a08bf0801000000320008000000320a5a085b0501000000310017000000fb028
0fe0000000000009001000000cc0402001054696d6573204e657720526f6d616e2043797
200cc83040000002d01030004000000f001020008000000320a6e0169140100000031000
8000000320ae802cc0701000000290008000000320ae802dc0401000000280017000000f
b0220ff0000000000009001010000cc0402001054696d6573204e657720526f6d616e204
3797200cc83040000002d01020004000000f001030008000000320aa4085617010000005
30008000000320aa408e11301000000530008000000320aa408911001000000530009000
000320af003381403000000c4cecf0008000000320a5a08a30b010000005300080000003
20a5a082e0801000000530008000000320a5a08de0401000000530008000000320a20053
80101000000500017000000fb0280fe0000000000009001010000cc0402001054696d657
3204e657720526f6d616e2043797200cc83040000002d01030004000000f001020008000
000320a4408871601000000500008000000320a4408121301000000500008000000320a4
408920f01000000d00008000000320a2206301302000000d0e008000000320afa07d40a0
1000000500008000000320afa075f0701000000500008000000320afa07df0301000000d
00008000000320acb058d0802000000e2f508000000320acb05c80602000000d0f109000
000320ae802830803000000c4cecf0008000000320a160496050200000050f8080000003
20af401cf0502000000506308000000320ac00449000100000067000a00000026060f000
a00ffffffff01000000000010000000fb021400090000000000bc02000000cc010202225
3797374656d00cc040000002d01020004000000f0010300030000000000(5.3)

iioeiaeueiee:
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(5.4)

aea I – i?e oaeoi?. I?aenoaaeaoe cia/aiiy io?eio?ii:
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(5.5)
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(5.6)
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(5.7)
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(5.8)

?ic?aoo?ii ain?eii – aio?ii?th:
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(5.9)
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(5.10)

Caaaeueia iioeaea
picscalex100010009000003a80000000200120000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c02c00200031200000026060f001a00ffffffff00001000
0000c0ffffffa5ffffffc0020000650200000b00000026060f000c004d61746854797065
0000a00010000000fb0280fe0000000000009001000000020002001053796d626f6c0002
040000002d01000008000000320a51021a0101000000e50010000000fb0280fe00000000
00009001010000020002001053796d626f6c0002040000002d01010004000000f0010000
08000000320a80011f000100000064000a00000026060f000a00ffffffff010000000000
10000000fb021400090000000000bc02000000cc0102022253797374656d00cc04000000
2d01000004000000f0010100030000000000:
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(5.11)
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(5.12)

sse ? aoe

6. AEA?? NOAI IIAeOEssOI?A ? AeAIIAeOEssOI?A

Ooieoe?iiaeueia noaia iiaeoeyoi?a:

Iiaeoeyoi?, ui cae?enith? oe?ioii-?iioeuenio iiaeoeyoe?th (O?I –
iiaeoeyoi?), ? iaeiei c iniiaieo ? niaoeeo?/ieo aoce?a on?o nenoai ?c
O?I.

Oe?ioii-?iioeueni? iiaeoeyoi?e ii iaoiaeo ia?aoai?aiiy ao?aeiiai neaiaeo
iiaeia ?icae?eeoe ia i?eno?i? ?icai?oath/iai ? ne?aeeoth/iai
ia?aoai?aiiy. Iiaeoeyoi?e ui noaaeaoue (/e eiiiainaoe?eiiai) oeio
aeei?enoiaothoueny a aneio?iiieo nenoaiao ?c O?I. Aieiae?th/e aenieeie
iao?ieia?/ieie oa?aeoa?enoeeaie, iiaeoeyoi?e eiiiainaoe?eiiai oeio
iathoue ?acii c oei iaeo oaeaeeiae?th, oiio iaeanoue ?oiueiai
canoinoaaiiy iaiaaeo?oueny a iniiaiiio aei??thaaeueieie ia?aoai?thaa/aie
iino?eiiai ? ci?iiiai no?oio.

O neio?iiieo nenoaiao ?c O?I aeei?enoiaothoueny cae/aeii iiaeoeyoi?e
?icai?oath/iai oeio, ui aeicaieythoue oi?ioaaoe O?I – iine?aeiai?noue
caaeaiiai aeaeo ? ?iaeo. ?icaeyiaii iiaeoeyoi?e iaeiioaeoiie O?I. Iaeei
c iniiaieo i?aeoiae?a aei iiaoaeiae no?oeoo?ii? noaie O?I – iiaeoeyoi?a
?icai?oath/iai oeio, (/e i?inoi O?I – iiaeoeyoi?a) aeoiaeeoue
aaciina?aaeiuei c aaiiao?e/ii? ?ioa?i?aoaoe?? i?eioeeio oi?ioaaiiy oiai
/e ?ioiai aeaeo. No?oeoo?ia noaia iiaeoeyoi?a OEI i?aaenoaaeaia ia iae.
6.1. Neaiae ?icai?iaiiy f(t) c aaia?aoi?a ?icai?iaiiy A? ii??aith?oueny
a noai? ii??aiyiiy NN ?c ao?aeiei neaiaeii x(t). O iiiaioe ??aiino? f(f)
? x(t) CC caoaeaeo? aoaeoaa/ ?iioeuen?a O, ia aeoiae? yeiai oi?io?oueny
O?I – iine?aeiai?noue y(t).

Ooieoe?iiaeueia noaia aeaiiaeoeyoi?a:

Aeaiiaeoeyoe?y neaiae?a O?I-AI a?aeaoaaaony o aeaa aoaie. Nii/aoeo
aeeiioaony aeaiiaeoeyoe?y AI, a iio?i aeaiiaeoeyoe?y O?I.

AEO?AeI? AeAII?

Oaaeeoey 2

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