The noise equivalent bandwidth of a band pass signal is defined as the value of band width

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The noise equivalent bandwidth of a band pass signal is defined as the value of band width that satisfies the relation 2BS (fc) = P/2 where 2B is the noise equivalent bandwidth centered around the mid band frequency fc, S(fc) is the maximum value of the power spectral density of the signal at f = fc, and P is the average power of the signal. Show that the noise equivalent bandwidths of binary PSK, QPSK, and MSK are asfollows:

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