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. www 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¯{H(jw)X(jw)}.
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. www 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¯{H(jw)X(jw)}.
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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- 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

Transcribed Image Text: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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