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Consider a periodic signal of the form x(t) = ∞ Σp(t - 4n) 8=18 where p(t) = [0,2] (t). (a) Find and sketch the output y(t) = (x* h) (t) when r(t) is passed through a filter with impulse response h(t)= [0,1] (t), clearly labeling the axes. (b) Find an explicit expression for the output z(t) = (x*g)(t)when x(t) is passed through a filter with impulse response g(t) = sinc(0.2t) cos(4πt).

Consider a periodic signal of the form x(t) = ∞ Σp(t - 4n) 8=18 where p(t) = [0,2] (t). (a) Find and sketch the output y(t) = (x* h) (t) when r(t) is passed through a filter with impulse response h(t)= [0,1] (t), clearly labeling the axes. (b) Find an explicit expression for the output z(t) = (x*g)(t)when x(t) is passed through a filter with impulse response g(t) = sinc(0.2t) cos(4πt).

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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please have a step by step solution to this and explain the answers. i need to know how to approach these problems as well

Consider a periodic signal of the form 8 x(t) = Σ p(t - 4n) n=18 where p(t) = [[0,2] (t). (a) Find and sketch the output y(t) = (x* h)(t) when x(t) is passed through a filter with impulse response h(t) = [0,1] (t), clearly labeling the axes. (b) Find an explicit expression for the output z(t) = (x*g)(t)when x(t) is passed through a filter with impulse response g(t) = sinc(0.2t) cos(4πt).
Transcribed Image Text:Consider a periodic signal of the form 8 x(t) = Σ p(t - 4n) n=18 where p(t) = [[0,2] (t). (a) Find and sketch the output y(t) = (x* h)(t) when x(t) is passed through a filter with impulse response h(t) = [0,1] (t), clearly labeling the axes. (b) Find an explicit expression for the output z(t) = (x*g)(t)when x(t) is passed through a filter with impulse response g(t) = sinc(0.2t) cos(4πt).
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