Q2.4 T) algorithms were brought into prominence by the publication of the- (1965). For discussions of FFT algorithms, see the books by Oppen-1999, Ch. 9) and Haykin and Van Veen (2005). For a discussion ofy be used to perform linear filtering, see the book Numerical Recipes02).(a) Evaluate the even and odd parts of a rectangular pulse de-fined byg(t) = A rect2(b) What are the Fourier transforms of these two parts of thepulse?|G(H||arg |G(f)||1.02-WW-WWT2Figure P2.42.4 Determine the inverse Fourier transform of the frequencyfunction G(f) defined by the amplitude and phase spectra shownin Figure P2.4.2.5 The following expression may be viewed as an approxi-mate representation of a pulse with finite rise time:pt + TTu?du1g(t):expwhere it is assumed that T >> T. Determine the Fourier transformof g(t). What happens to this transform when we allow t to be-come zero? Hint: Express g(t) as the superposition of two signals,one corresponding to integration from t – T to 0, and the otherfrom 0 to t + T.2.6 The Fourier transform of a signal g(t) is denoted by G(f).Prove the following properties of the Fourier transform:(a) If a real signal g(t) is an even function of time t, the Fouriertransform G(f) is purely real. If a real signal g(t) is an oddfunction of time t the Fourier transform G(f) is purely

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Electrical Engineering

Evaluate the even and odd parts of a rectangular pulse de- fined by (-) g(t) = A rect

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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