In a satellite radio system, 64 stations of stereo quality make one data stream. For each station, two (left and right) signals of bandwidth 20 kHz are sampled, quantized, and binary-coded into PCM signals. The transmitter must multiplex the data from the 64 stations into a single stream via time multiplexing.
(a). If the maximum acceptable quantization error in sample amplitudes is 0.025% of the peak signal voltage, find the minimum number of bits needed for a uniform quantizer.
(b). If the sampling rate must be 30% higher than the Nyquist rate, find the minimum bit rate of the multiplexed data stream based on the quantizer of part (a).