Evaluate the power spectral density


Assignment:

The information signal is modeled as a random process a(t) with maximum amplitude A and correlation function

ra(t) = A2/2e-|t| cos(2Πf0xt)

Assuming A = 6 V and f0 = 1 Hz, evaluate the following points.

a) Give a graphical representation of the correlation function ra(τ).

b) Evaluate the power spectral density Pa(f ) and give its graphical representation.

c) Determine the number of quantization levels L needed to guarantee a value of q greater than 60 dB.

d) Assume that the signal is sampled (considering a conventional bandwidth corresponding to an attenuation of 24 dB of its PSD) and quantized by the quantizer considered at the previous point. Evaluate the corresponding bit rate Rb.

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Operation Management: Evaluate the power spectral density
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