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x(t) -a a Find a closed form expression for the Fourier transform X(w) of the signal z(t). lint: Use the integration and differentiation properties, as well as the Fourier transform pair of a rectangular pulse. (w) = O Find the Fourier transform G(w) of the signal g(t) = x(t) – F(w) = your answers, enter D(t) instead of 8(t), and "w" for w. Note that for this question, you may use the cardinal sine with sinc(t) = sin(t)/t (in contrast, in Signal Processing literatu inc(t) = sin(xt)/(xt)).

x(t) -a a Find a closed form expression for the Fourier transform X(w) of the signal z(t). lint: Use the integration and differentiation properties, as well as the Fourier transform pair of a rectangular pulse. (w) = O Find the Fourier transform G(w) of the signal g(t) = x(t) – F(w) = your answers, enter D(t) instead of 8(t), and "w" for w. Note that for this question, you may use the cardinal sine with sinc(t) = sin(t)/t (in contrast, in Signal Processing literatu inc(t) = sin(xt)/(xt)).

Introductory Circuit Analysis (13th Edition)
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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Consider the signal r(t) given in the figure below. Assume a = - and b = 2.66666666666667. x(t) -a a a) Find a closed form expression for the Fourier transform X(w) of the signal r(t). Hint: Use the integration and differentiation properties, as well as the Fourier transform pair of a rectangular pulse. X(w) = b) Find the Fourier transform G(w) of the signal g(t) = x(t) – G(w) = = sin(t)/t (in contrast, in Signal Processing literature, In your answers, enter D(t) instead of d(t), and "w" for w. Note that for this question, you may use the cardinal sine with sinc(t) sinc(t) = sin(nt)/(nt)).
Transcribed Image Text:Consider the signal r(t) given in the figure below. Assume a = - and b = 2.66666666666667. x(t) -a a a) Find a closed form expression for the Fourier transform X(w) of the signal r(t). Hint: Use the integration and differentiation properties, as well as the Fourier transform pair of a rectangular pulse. X(w) = b) Find the Fourier transform G(w) of the signal g(t) = x(t) – G(w) = = sin(t)/t (in contrast, in Signal Processing literature, In your answers, enter D(t) instead of d(t), and "w" for w. Note that for this question, you may use the cardinal sine with sinc(t) sinc(t) = sin(nt)/(nt)).
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