Plot the spectrum of the output samples what is the 3-db, Computer Engineering

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Plot the spectrum of the output samples what is the 3-db

Problem

Generate a Rayleigh distribution with a 100-Hz fading bandwidth. A suggested approximation is to filter white Gaussian noise samples at 1 kHz with the one-pole filter y_n = 0.7y_n-1 + 0.3u_n. For the output samples,

(a) Plot the distribution of the output samples. Does this change with fading rate?

(b) Plot the spectrum of the output samples. What is the 3-dB fading bandwidth?

(d) Determine the average 3-dB fade duration. That is, each time the signal drops 3 dB below average, how long does it stay 3 dB or more below average?

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