Problem: In a satellite radio system, 500 stations of stereo quality are to be multiplexed in one data stream. For each station, two (left and right) signal channels each of bandwidth 15,000 Hz are sampled, quantized, and binary-coded into PCM signals.
Q1. If the maximum acceptable quantization error in sample amplitudes is 1% of the peak signal voltage, find the minimum number of bits needed for a uniform quantizer.
Q2. If the sampling rate must be 8% higher than the Nyquist rate, find the minimum bit rate of the multiplexed data stream based on the quantizer of part (a).
Q3. If 2% more bits are added to the multiplexed data for error protection and synchronization determine the minimum bandwidth needed to transmit the final data stream to receivers.
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