Take the periodic input with period 4, and values in the range of indices 0, to 3 given as х 3D {1, —1, 2, -1}. -Find its Fourier series representation. Discuss the energy in different harmonics. Which harmonic has the highest frequency. Discuss why this makes sense. How does the energy of harmonics relate to the power of the signal. - Consider the system H, with the input x, and output y, and with the input-output relationship v(n) = Lr(n) – a(n – 1). |-Find the transfer function of the system. Sketch its poles and zeros, and discuss what type lof system H is

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Author:Robert L. Boylestad
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Take the periodic input with period 4, and values in the range of indices 0,
to 3 given as
= {1, –1, 2, –1}.
-Find its Fourier series representation. Discuss the energy in different harmonics. Which
harmonic has the highest frequency. Discuss why this makes sense. How does the energy
of harmonics relate to the power of the signal.
Consider the system H, with the input x, and output y, and with the input-output
relationship
y(n)
la(n) – x(n – 1)].
-Find the transfer function of the system. Sketch its poles and zeros, and discuss what type
of system H is.
Transcribed Image Text:Take the periodic input with period 4, and values in the range of indices 0, to 3 given as = {1, –1, 2, –1}. -Find its Fourier series representation. Discuss the energy in different harmonics. Which harmonic has the highest frequency. Discuss why this makes sense. How does the energy of harmonics relate to the power of the signal. Consider the system H, with the input x, and output y, and with the input-output relationship y(n) la(n) – x(n – 1)]. -Find the transfer function of the system. Sketch its poles and zeros, and discuss what type of system H is.
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