A white noise w (t) of power spectral density N0/2 is applied to a Butterworth low-pass filter

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A white noise w (t) of power spectral density N0/2 is applied to a Butterworth low-pass filter of order n, whose magnitude response is defined by

(a) Determine the noise equivalent bandwidth for this low-pass filter, for the definition of noise equivalent bandwidth.)

(b) What is the limiting value of the noise equivalent bandwidth as n approachesinfinity?

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