Find by calculating the convolution of x(t) and h(t) in the form y(t)=x(t)*h(t).Calculate the inverse Fourier transform of the product of the Fourier transforms of x(t) and h(t) in the form A signal x (t) = e-btu(t) is given as an input to a system with unith(t) = e-atu(t) impulse response a. If x=5, b=2, find the c signalobtained at the output with the following methods.wwm wwa) Find by calculating the convolution of x(t) and h(t) in the formy(t)=x(t)*h(t).b) Calculate the inverse Fourier transform of the product of theFourier transforms of x(t) and h(t) in the formy(t)=F¯1{H(jw)X(jw)}.ww m

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Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Find by calculating the convolution of x(t) and h(t) in the form y(t)=x(t)*h(t).
Calculate the inverse Fourier transform of the product of the Fourier transforms of x(t) and h(t) in the form

A signal x (t) = e-btu(t) is given as an input to a system with unit
h(t) = e-atu(t) impulse response a. If x=5, b=2, find the c signal
obtained at the output with the following methods.
wwm ww
a) Find by calculating the convolution of x(t) and h(t) in the form
y(t)=x(t)*h(t).
b) Calculate the inverse Fourier transform of the product of the
Fourier transforms of x(t) and h(t) in the form
y(t)=F¯1{H(jw)X(jw)}.
w
w m

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