Question: The waveform at the input of a base band system has signal power P T and white noise with single-sided power spectral density N 0

The waveform at the input of a base band system has signal power P_Tand white noise with single-sided power spectral density N₀. The signal bandwidth is W. In order to pass the signal without significant distortion, we assume that the input waveform is band limited to a bandwidth B = 2W using a Butter worth filter with order n. Compute the SNR at the filter output for n = 1, 3, 5, and 10 as a function of P_T / N₀W. Also compute the SNR for the case in which n → ∞. Discuss the results.

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