Реализация и анализ цифрового фильтра с конечной импульсной характеристикой

Министерство образования Российской Федерации

УРАЛЬСКИЙ ГОСУДАРСТВЕННЫЙ ТЕХНИЧЕСКИЙ УНИВЕРСИТЕТ

Оценка работы

Курсовая работа

Реализация и анализ цифрового фильтра с конечной импульсной
характеристикой

по курсу «Цифровая обработка сигналов»

Преподаватель

Коберниченко В.Г.

Екатеринбург

ЗАДАНИЕ

Тема 2. Реализация и анализ цифрового фильтра с конечной импульсной
характеристикой

Задание:

1. Разработать алгоритм, реализующий заданный тип фильтра в частотной
области (с использованием алгоритма БПФ).

2. Составить программу, позволяющую получить:

– спектр входного сигнала;

– спектральную (амплитудно-частотную) характеристику окна;

– отклик фильтра на заданный сигнал;

– спектр выходного сигнала.

3. Проанализировать полученные результаты.

Исходные данные

Номер варианта: 7

Тип фильтра: ФНЧ

Полоса фильтра: 0,75

Тип окна: треугольное

Вид сигнала: двусторонний экспоненциальный радиоимпульс с несущей
частотой, равной половине частоты дискретизации.

Скважность: 12

РЕШЕНИЕ

1. Математическая модель сигнала.
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где Ф(t) – функция Хевисайда

0 – несущая частота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Дискретный сигнал:
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Для того, чтобы можно было построить спектр входного сигнала, необходимо
выразить произведение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, исходя из
требования обеспечения уровня неопределённости (наложения спектров) не
хуже –13 дБ. Наложение спектров происходит вследствие дискретизации
сигнала, которая приводит к периодизации спектра с частотой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. Для определения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 необходимо
найти энергию, распределённую на участке от нуля до половины частоты
дискретизации и энергию, распределённую в диапазоне от половины частоты
дискретизации до бесконечности.

Так как спектр радиоимпульса отличается от видео только тем, что он
сдвинут на несущую частоту, можно найти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из условия
наложения спектров видеоимпульса. Спектр исходного сигнала без
заполнения определяется соотношением:
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,

взяв квадрат модуля, получим энергию сигнала:
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picscalex1000100090000036303000003001c0000000000050000000902000000000500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Соотношение этих энергий и будет задавать требуемый уровень
неопределённости:
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Решив это уравнение, получаем, что
picscalex100010009000003d20000000200150000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c02c001e0021200000026060f001a00ffffffff00001000
0000c0ffffffc6ffffffa0020000860100000b00000026060f000c004d61746854797065
0000300015000000fb0280fe0000000000009001010000000402001054696d6573204e65
7720526f6d616e000087040000002d01000008000000320a600106010100000054001500
0000fb0280fe0000000000009001010000cc0402001054696d6573204e657720526f6d61
6e00ccf2040000002d01010004000000f001000008000000320a6001de0101000000e400
10000000fb0280fe0000000000009001010000020002001053796d626f6c000204000000
2d01000004000000f001010008000000320a600116000100000061000a00000026060f00
0a00ffffffff01000000000010000000fb021000070000000000bc02000000cc01020222
53797374656d00cc040000002d01010004000000f0010000030000000000 = 0,235.

Для того, чтобы найти количество отсчетов в периоде повторения, найдем
эффективную длительность импульса:
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Тогда количество отсчетов на периоде повторения будет равно:

N = QFД ,

где Q – скважность.

Получаем,

N = QFД =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 = 64,817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 65

Определим верхнюю частоту спектра сигнала из условия половинной
мощности:
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По условию задается, что полоса фильтра определяется по уровню 0,75 от
полосы спектра сигнала, следовательно, она будет равна 0,75

Далее приведем основной расчет
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Видим, что сигнал был отфильтрован.

Посмотрим, как будет реагировать однородный фильтр (без учета окна):

Спектр сигнала на выходе такого фильтра будет иметь вид:

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7901050000001302be007f01050000001302bc008501050000001302b9008c0105000000
1302bc009201050000001302bf009901050000001302bb009f01050000001302bb00a501
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ffff040000002d010e0008000000fa02000001000000ff000002040000002d010f000500
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0200000000000100010002000000010000000100020007000000fc020000ffffff020000
05000000280208000a0004000000f0010800050000000c02e800180204000000f0010a00
030000000000

Тогда сам сигнал:

picscalex1000100090000032f11000010001c0000000000040000000301080005000000
0c02e0001f02050000000902000000001c000000fb02f3ff0000000000009001000000cc
04000000417269616c2043797200000013070a1e4c53f5775553f5770100000000003000
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00000500000009020000000005000000090200000000050000000902000000001c000000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00002d010300050000000902000000001c000000fb02f4ff000000000000900100000002
0700000053796d626f6c00774000000008070a194c53f5775553f5770100000000003000
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05000000090200000000050000000902000000001c000000fb02f6ff0000000000009001
000000cc04000000417269616c2043797200000007070a174c53f5775553f57701000000
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010008000000fa0200000100000000000002040000002d01070007000000fc020000ffff
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00000000040000002d010100040000002d01000007000000210501002809130051000700
00002105010029091300790005000000090200000000040000002d010200050000002e01
1800000007000000210502003a3d13002e00050000002e01180000000500000009020000
0000040000002d010000050000002e010000000005000000090200000000040000002d01
010008000000fa0200000000000000000000040000002d01090004000000f00107000700
0000fc020000000000000000040000002d01070004000000f00108000500000009020000
0000050000000102ffffff020500000002010200000008000000fa020000010000000000
0002040000002d01080007000000fc020000ffffff020000040000002d010a0005000000
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040000002d010000050000002e011800000008000000fa02000001000000000000020400
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2a00b300050000001302ba00b300040000002d010b00040000002d010c00050000001402
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2a008301050000001302ba008301040000002d010b00040000002d010c00050000001402
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00000000040000002d01000005000000090200000000040000002d010400050000000902
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c90065010500000009020000000005000000090200000000040000002d01000005000000
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00000000040000002d0104000500000009020000000007000000210502003438c9009901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00002d01000005000000090200000000040000002d010400050000000902000000000800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Видим, что сигнал отфильтрован хуже, чем при введении весовой функции
окна.

Проведем анализ полученного фильтра во временной области:

Отклик на входной сигнал равен свертке от входного сигнала и импульсной
характеристики фильтра.
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Тогда сигнал на выходе фильтра будет иметь вид:
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00000000040000002d01000005000000090200000000040000002d010200050000000902
00000000040000002d01000005000000090200000000040000002d010200050000000902
00000000040000002d01000005000000090200000000040000002d010200050000000902
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00000000040000002d01000005000000090200000000040000002d010200050000000902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090200000000040000002d01000005000000090200000000040000002d01020005000000
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00000000040000002d01000005000000090200000000040000002d010200050000000902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9a010500000009020000000005000000090200000000040000002d010000050000000902
00000000040000002d0102000500000009020000000007000000210502003532a700b401
0500000009020000000005000000090200000000040000002d0100000500000009020000
0000040000002d0102000500000009020000000007000000210502003536a700cf010500
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00002d0102000500000009020000000007000000210502003634a7000502050000000902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04000000f0010a0005000000090200000000050000000102ffffff020500000002010200
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01000200000000000100010002000000010000000100020007000000fc020000ffffff02
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0a00030000000000

Выводы: В ходе выполнения данной курсовой работы был разработан
алгоритм, реализующий заданный тип фильтра (ФНЧ) как во временной так и
в частотной областях с учетом весовой функции и без неё. Был получен
отклик фильтра на заданный сигнал и его спектр.

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