The input/output equation for an analog averager is given by the convolution integral 1 y(1) : 2p(1)x -T where x(t) is the input and y(t) the output. (a) Change the above equation to determine the impulse response h(t). (b) Graphically determine the output y(t) corresponding to a pulse input x(t) = u (t) – u(t – 2) using the convolution integral (let T = 1) relating the input and the output. Care- fully plot the input and the output. (The output can also be obtained intuitively from a good understanding of the averager.) (c) Using the impulse response h(t) found above, use now the Laplace transform to find the output corresponding to x (t) =u(t) – u(t – 2), let again T = 1 in the averager. -

The input/output equation for an analog averager is given by the convolution integral 1 y(1) : 2p(1)x -T where x(t) is the input and y(t) the output. (a) Change the above equation to determine the impulse response h(t). (b) Graphically determine the output y(t) corresponding to a pulse input x(t) = u (t) – u(t – 2) using the convolution integral (let T = 1) relating the input and the output. Care- fully plot the input and the output. (The output can also be obtained intuitively from a good understanding of the averager.) (c) Using the impulse response h(t) found above, use now the Laplace transform to find the output corresponding to x (t) =u(t) – u(t – 2), let again T = 1 in the averager. -

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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