Find the first-null bandwidth, Electrical Engineering

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An audiomessage is band-limited to 15 kHz, sampled at twice the Nyquist rate, and encoded by a 12-bit natural binary code that corresponds to Lb = 212 = 4096 levels, all of which span the message's variations. Find the first-null bandwidth (given by ωb/2π = 1/Tb) required to support a polar waveform format. Also, determine the best possible signal-to-noise ratio S0/Nq with a crest factor of 3.8.


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