Consider the following continuous time system that sums two input signal z1(t) and z2(t) with aj and az weights respectively, and gives output signal as y(t) = arz1(t) + azra(t). If z1(t) = 2+ cos(6xt + x/4), and r2(t) = 1 + cos(2nt – x/4). %3D %3D a)r Determine and express the Fourier series representation of z1(t) signal along with its coefficients a. b) wa 1 Determine and express the Fourier series representation of za(t) signal along with its coefficients by. c). Determine and express the Fourier series representation of y(t) signal along with its coefficients C. d) el Determine and explain how to find the fundamental frequency of y(t) signal.

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Consider the following continuous time system that sums two input signal z1(t) and z2(t) with aj and az weights respectively, and gives output signal as
y(t) = ajz1(t) + agr2(t). If z1(t) = 2+ cos(6xt +x/4), and ra(t) = 1+ cos(2nt – n/4).
a)r
Determine and express the Fourier series representation of z (t) signal along with its coefficients ap.
b).
Determine and express the Fourier series representation of ze(t) signal along with its coefficients by.
c .
Determine and express the Fourier series representation of y(t) signal along with its coefficients C .
d)
el Determine and explain how to find the fundamental frequency of y(t) signal.
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Transcribed Image Text:Consider the following continuous time system that sums two input signal z1(t) and z2(t) with aj and az weights respectively, and gives output signal as y(t) = ajz1(t) + agr2(t). If z1(t) = 2+ cos(6xt +x/4), and ra(t) = 1+ cos(2nt – n/4). a)r Determine and express the Fourier series representation of z (t) signal along with its coefficients ap. b). Determine and express the Fourier series representation of ze(t) signal along with its coefficients by. c . Determine and express the Fourier series representation of y(t) signal along with its coefficients C . d) el Determine and explain how to find the fundamental frequency of y(t) signal. Maximum size for new files: 100MB, maximum attachments: 1
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