A continuous time signal x(t) is applied to the continuous time system whosc frequency response K(@) is given in the figure below: K(w) x(t) = z(t) * Sa(6@at) %3D z(t) = 2) T: 2T wo The output of the system: y(t) = x(t) • k(t). a. Find the power spectral density and power of x(t). b. Find the power spectral density and power of y(t).
A continuous time signal x(t) is applied to the continuous time system whosc frequency response K(@) is given in the figure below: K(w) x(t) = z(t) * Sa(6@at) %3D z(t) = 2) T: 2T wo The output of the system: y(t) = x(t) • k(t). a. Find the power spectral density and power of x(t). b. Find the power spectral density and power of y(t).
Introductory Circuit Analysis (13th Edition)
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Transcribed Image Text:Question 4:
A continuous time signal x(t) is applied to the continuous time system whosc frequency
response K(@) is given in the figure below:
K(o)
x(t) = z(t) * Sa(6@ot)
z(t) = A
27
,T =-
The output of the system: y(t) = x(t) + k(t).
%3!
a. Find the power spectral density and power of x(t).
b. Find the power spectral density and power of y(t).
c. Find y(t) and its auto-correlation?
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