An alternative to using a Gaussian function for h(t) in the computation of the STFT, it is K cos² (πt/T) -T/2≤t≤T/2 0 otherwise proposed to use the function h(t) =< K>0 is adjusted for unit energy. One advantage of this function over the Gaussina function is that it is of finite (rather than infinite) duration. a) Show that in order to make h(t) have unit energy, K must be set to the value K = √√8/(37). As with other problems, this result cannot be reverse engineered. b) Using the modified definition of the Fourier Transform and taking advantage of symmetries in the function given, show 4T sinc(@T/2π) c) 3π (2π)²-(WT)² Let x(t) be the signal x(t)= e defined -∞0 and

An alternative to using a Gaussian function for h(t) in the computation of the STFT, it is K cos² (πt/T) -T/2≤t≤T/2 0 otherwise proposed to use the function h(t) =< K>0 is adjusted for unit energy. One advantage of this function over the Gaussina function is that it is of finite (rather than infinite) duration. a) Show that in order to make h(t) have unit energy, K must be set to the value K = √√8/(37). As with other problems, this result cannot be reverse engineered. b) Using the modified definition of the Fourier Transform and taking advantage of symmetries in the function given, show 4T sinc(@T/2π) c) 3π (2π)²-(WT)² Let x(t) be the signal x(t)= e defined -∞0 and

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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