Q.6Consider the finite-duration signal f (t) given in Fig.3.(а)Evaluate the Fourier transform F(jN) of f (t) and show thatf(t)sinF(jN) = tΩτ1Fig.32-t20 v2Using the relation between F(j) and c, , evaluate c, for the periodic signal given inFig.4.PeriodicPeriodic-t/20 v/2ToFig.4(b)T.0 = N ,whereN isc, =0 for k=mNIfan integer,show thatform= ±1, ±2, ±3.For N = 3 plot c, Using the relation betweenand c, , ie.d, = Co, a = 2|\, Pz = arg{c,}, express f,(1) as a sum of real sinusoidal signalsand write the sum explicitly up to and including the 5th term.%3D

1. Rectangular function xt=ArecttτXω=∫-∞∞Arecttτe-jωtdt=A -τ2≤t≤τ20…

Q.6 Consider the finite-duration signal f (t) given in Fig.3. (a) Evaluate the Fourier transform F(jN) of f (t) and show that f(t) sin 2 Nr F(jN) = t 1 Fig.3 2 -t2 0 v2 Using the relation between F(j2) and c, evaluate c, for the periodic signal given in Fig.4. Periodic Periodic 1 -t/2 0 v2 To Fig.4 T. 2 = N ,where N is an integer, k = mN (b) If show that c̟ =0 for for m = ±1, ±2, ±3.. . For N = 3 plot c, Using the relation between and c, , ie. a, = Co. a, = 2|c.l, 9 = arg{c,}, express f,(1) as a sum of real sinusoidal signa ls and write the sum explicitly up to and including the 5th term.

Q.6 Consider the finite-duration signal f (t) given in Fig.3. (a) Evaluate the Fourier transform F(jN) of f (t) and show that f(t) sin 2 Nr F(jN) = t 1 Fig.3 2 -t2 0 v2 Using the relation between F(j2) and c, evaluate c, for the periodic signal given in Fig.4. Periodic Periodic 1 -t/2 0 v2 To Fig.4 T. 2 = N ,where N is an integer, k = mN (b) If show that c̟ =0 for for m = ±1, ±2, ±3.. . For N = 3 plot c, Using the relation between and c, , ie. a, = Co. a, = 2|c.l, 9 = arg{c,}, express f,(1) as a sum of real sinusoidal signa ls and write the sum explicitly up to and including the 5th term.

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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