2. a) Find the Fourier transform of the signalshown in Fig. 2 and express it in its mostcompact form;b) Find the value of the energy spectraldensity at f=1/4.0-2-1-3.Fig. 1g(t)312t-Fig 2

Answered: 2. a) Find the Fourier transform of the…

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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Qi: Refer to Fig. 1, Fig. 2 and Fig. 3: a. Find exponential Fourier series and sketch the corresponding spectra of the periodic impulse train &r, (t) shown In Fig.1. b. Find the Fourier transform of the periodic impulse train ör, (t) shown In Fig. I. c. Refer to Fig. 2, write a mathematical expression for the signal g(t). d. Find the Gf). e. If the spectrum G( of the signal g(t) is as shown in Fig. 3, sketch the spectrum of G). 1.5 -1 -0.5 0.5 1.5 t(us) - Fig. 1
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Q:: Refer to Fig. 1, Fig. 2 und Fig. 3: a. Find exponential Fourier series and sketch the corresponding spectra of the periodic impulse train &, () shown In Fig.1. b. Find the Fourier transform of the periodie impalse train dr, (t) shown In Fig. 1. c. Refer to Fig. 2, write a mathematical expression for the signal (t). d. Find the G). e. If the spectrum G) of the signal g(t) is as shown in Fig. 3, sketch the spectrum of Gf). 1.5 1 15 Fig. 1 Ma pe g(e) Fig. 3 Fig 2
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Consider the signal x(t) and its Fourier transform X(@). The signal x(t) is given by x(t) = 311(t – 1) where II(t) is the unit pulse function. What is the value of X(@) at the frequency f = 0. 25HZ? Select the one correct answer from the values below (answers are given to two decimal places). O j2.70 O 2.90 - jo.74 O -jo.90 -j2.70
4. A. Find the Fourier Transform of the signals below. a. x(t) = sinc²(t).cos(6mt). (Find by plotting) b. x(t) = e-t+2.u(t-2). c. x(t) = t.e-3ltl B. An LTI system has the input-output differential equation given by d² y(t) dy(t) +45 -+3y(t) = 2x(t) dt² dt a. Find its frequency response. b. Find its impulse response.
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3- Use the time-shifting property (Eq. number 2 in Fourier transform pairs table) to show that if g(t) G(F) : g(t+T) +g (t - T) 2 G (f) cos 2nft Use this result and Fourier Transform Table (for rect and Tri function) and find the Fourier transforms of the signals shown below. 3 (h) (a)

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2. a) Find the Fourier transform of the signal shown in Fig. 2 and express it in its most compact form; b) Find the value of the energy spectral density at f=1/4. 0 -2 -1 -3. Fig. 1 g(t) 3 1 2 t- Fig 2