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A continuous-time signal, x(t), has a Fourier transform denoted by X (w), and is expressed as: a) (i) (ii) (iii) (iv) 0, X (w) = w² 0. w1-wm if-wm ≤w

A continuous-time signal, x(t), has a Fourier transform denoted by X (w), and is expressed as: a) (i) (ii) (iii) (iv) 0, X (w) = w² 0. w1-wm if-wm ≤w

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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iv)) please
Question B2 A continuous-time signal, x(t), has a Fourier transform denoted by X (w), and is expressed as: a) (i) (ii) (iii) (iv) X (w) = 0, w² 0, w<-wm if-wm ≤ w<wm w > wm Write down the definition of the Fourier transform, and calculate the value of the integral: -L I = x(t) dt Using the definition of the inverse Fourier transform, calculate the value of x(0); i.e. x(t) evaluated at t = 0. In this part of the question, you do not need to find the full expression for x(t). Determine whether energy or power provides the most suitable measure of the size of the time-domain signal, x(t), justifying your answer. Using the appropriate form of Parseval's theorem, calculate the value of the measure chosen to find the size of the signal, (t).
Transcribed Image Text:Question B2 A continuous-time signal, x(t), has a Fourier transform denoted by X (w), and is expressed as: a) (i) (ii) (iii) (iv) X (w) = 0, w² 0, w<-wm if-wm ≤ w<wm w > wm Write down the definition of the Fourier transform, and calculate the value of the integral: -L I = x(t) dt Using the definition of the inverse Fourier transform, calculate the value of x(0); i.e. x(t) evaluated at t = 0. In this part of the question, you do not need to find the full expression for x(t). Determine whether energy or power provides the most suitable measure of the size of the time-domain signal, x(t), justifying your answer. Using the appropriate form of Parseval's theorem, calculate the value of the measure chosen to find the size of the signal, (t).
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