Лабораторная работа
«Дифференцирующие и интегрирующие цепи»
Полянчев С., Коротков Р.
Цели работы: ознакомление с принципом действия, основными свойствами и
параметрами дифференцирующих и интегрирующих цепей, установление условия
дифференцирования и интегрирования, определение постоянной времени.
Теоретическая часть.
В радиоэлектронике и экспериментальной физике возникает необходимость
преобразования формы сигналов. Часто это может быть выполнено путём их
дифференцирования или интегрирования. Например, при формировании
запускающих импульсов для управления работой ряда устройств импульсной
техники (дифференцирующие цепи) или при выделении полезного сигнала на
фоне шумов (интегрирующие цепи).
Анализ простейших цепей для дифференцирования и интегрирования сигналов
Дифференцирующей называется радиотехническая цепь, с выхода которой
может сниматься сигал, пропорциональный производной от входного сигнала
Uвых(t) ~ dUвх(t)/dt (1)
Аналогично, для интегрирующей цепи: Uвых(t) ~ Uвх(t)dt (2)
Поскольку дифференцирование и интегрирование являются линейными
математическими операциями, указанные выше преобразования сигналов могут
осуществляться линейными цепями, т.е. схемами, состоящими из постоянных
индуктивностей, емкостей и сопротивлений.
Рассмотрим цепь с последовательно соединёнными R, C и L, на вход которой
подаётся сигал Uвх(t) (рис.1).
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c00000000000000244001000c000000000000003040020010000000040000000000803f2
14007000c0000000000000008400005e80d0000dc0d00000210c0db01000000000000000
000000000000000000000000100000089504e470d0a1a0a0000000d49484452000001900
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Выходной сигал в такой цепи можно снимать с любого её элемента. При
этом:
UR+UC+UL = Ri(t) + 1/c i(t)dt + L di(t)/dt = Uвх(t). (3)
Очевидно, что поскольку значения UR, UC и UL определяются параметрами R,
C и L, то подбором последних могут быть осуществлены ситуации, когда UR,
UC и UL существенно неодинаковы. Рассмотрим для случая цепи, в которой
UL 0 (RC – цепь).
А) UC >> UR, тогда из (3) имеем:
i(t) = C dUвх(t)/dt (4)
Отсюда следует, что напряжения на сопротивлении пропорционально
производной от входного сигнала:
UR(t) = RC dUвх(t)/dt = 0 dUвх(t)/dt. (5)
Таким образом, мы приходим к схеме дифференцирующего четырёхполюсника,
показанной на рис.2, в которой выходной сигал снимается с сопротивления
R.
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30000000000
Б) UR >> UC. В этом случае из (3) получаем: i(t) = Uвх(t)/R (6) и
напряжение на емкости равно:
UC = 1/RC Uвх(t)dt = 1/0 Uвх(t)dt. (7)
Видно, что для осуществления операции интегрирования необходимо
использовать RC-цепочку в соответствии со схемой на рис.3.
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fffffffff7fffffffffffffffffffffffffffffffff0101fffffffffffffffffffffffff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Для получения как эффекта дифференцирования, так и интегрирования,
сигнал надо снимать с элемента, на котором наименьшее падение
напряжения. Величина Uвых(t) определяется значением постоянной времени
0, равной RC для RC-цепочки.
Очевидно, что эффекты дифференцирования и интегрирования в общем случае
отвечают, соответственно, относительно малым и большим 0.
Условия дифференцирования и интегрирования
Уточним теперь, как связаны условия А и Б, а также использованные выше
понятия «малого» и «большого» 0 с параметрами R, C, L и характеристиками
сигнала.
Пусть входной сигнал Uвх(t) обладает спектральной плотностью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, т.е.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 (12)
Тогда при точном дифференцировании для выходного сигнала получим: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, (13)
откуда следует, что коэффициент передачи идеального дифференцирующего
четырёхполюсника
(picscalex100010009000003d7000000020015000000000005000000090200000000040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) равен: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(14)
Рассмотренная нами дифференцирующая цепь (рис.2) имеет коэффициент
передачи: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 (15)
Из сравнения (14) и (15) видно, что рассмотренная нами цепь будет тем
ближе к идеальной, чем лучше выполняется условие
0 > 1 (18)
также для всех частот спектра входного сигнала, в том числе и для самой
нижней. Аналогично для интегрирования импульсов длительностью tu условие
интегрирования запишется в виде
0 = tu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. (22)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Если цепь является интегрирующей, то выполняется неравенство 0 >> tu,
что позволяет использовать разложение экспоненты в ряд Тейлора.
В результате для выходного напряжения при 0
Нашли опечатку? Выделите и нажмите CTRL+Enter
