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)
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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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b42e249-3ec9-4b52-9315-d0264313923a%2Fb624f443-0a4a-4a31-8db9-d4211992934b%2Fqx4mxq_processed.jpeg&w=3840&q=75)
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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