answer (iii) (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 (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.

Given : Note : according to the requirement of the student they need only answer for iii), hence…

Answered: (iii) The transfer function of a linear…

(iii) The transfer function of a linear filter is given by H (w) 1 Using the result of (ii) find the ja' impulse response h(t) of the system.

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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