The input to a linear system x(1) and the impulse response h(t) of the system are given as : x(t)= exp(-2t) , h(t)= exp(-t), and 120. a): Find the output of the system y(t) by convolution. b): Determine the Fourier transform of y(t). c): Show that the Fourier transform obtained in (b) is equal to the product of the Fourier transforms of x(t) and h(t).

The input to a linear system x(1) and the impulse response h(t) of the system are given as : x(t)= exp(-2t) , h(t)= exp(-t), and 120. a): Find the output of the system y(t) by convolution. b): Determine the Fourier transform of y(t). c): Show that the Fourier transform obtained in (b) is equal to the product of the Fourier transforms of x(t) and h(t).

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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