answer (iv) (c)(i) Write an expression (poof not required) for the Fourier Transform of a rectangular pulse ofwidth 2a and height 1 (The pulse is symmetrical about the y -ахis).(ii) Use the Inverse Fourier Transform of the expression you have given in (i) to evaluate thesin awintegraldw. Consider the two cases a > 0 and a < 0. (ii) Use the Inverse Fourier Transform of the expression you have given in (i) to evaluate ther00 sin awintegral odw. Consider the two cases a > 0 and a < 0.(iii) The transfer function of a linear filter is given by H(w) =. Using the result of (ii) find thejwimpulse response h(t) of the system.(iv) By applying the Duality property to the result of (iii), show that the filter with the impulse1response h(t)shifts the input by – 90°. Express the result using signum function.ntThe signum function is defined as follows:1 x > 0sgn(x) = {-1 x < o

Here the 4th subpart has been solved with the help of the properties of duality theorom of fourier…

(iv) By applying the Duality property to the result of (iii), show that the filter with the im response h(t) = shifts the input by – 90°. Express the result using signum functic tt The signum function is defined as follows:

(iv) By applying the Duality property to the result of (iii), show that the filter with the im response h(t) = shifts the input by – 90°. Express the result using signum functic tt The signum function is defined as follows:

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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