In a satellite radio system, 200 stereo stations are to be packaged in one data stream. For each station, two (left & right) signals of bandwidth 22 kHz are sampled, quantized, and binary-coded into PCM signals. The transmitter then multiplexes the data from the 200 stations into a single stream via TDM and modulates that stream onto a radio carrier using DSB-SC-AM. (a) If the maximum acceptable quantization error is 0.25%of the peak signal voltage, find the minimum number of bits needed for a uniform quantizer. (b) If the sampling rate must be 25% higher than the Nyquist rate, find the minimum bit rate of the multiplexed data stream, based on the quantizer of part (a). (c) If 10% more bits are added for error correction and framing, determine the minimum bandwidth of the radio signal sent to the ground receivers.

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In a satellite radio system, 200 stereo stations are to be packaged in one data stream. For each station, two
(left & right) signals of bandwidth 22 kHz are sampled, quantized, and binary-coded into PCM signals.
The transmitter then multiplexes the data from the 200 stations into a single stream via TDM and modulates
that stream onto a radio carrier using DSB-SC-AM.
(a) If the maximum acceptable quantization error is 0.25%of the peak signal voltage, find the minimum
number of bits needed for a uniform quantizer.
(b) If the sampling rate must be 25% higher than the Nyquist rate, find the minimum bit rate of the
multiplexed data stream, based on the quantizer of part (a).
(c) If 10% more bits are added for error correction and framing, determine the minimum bandwidth of the
radio signal sent to the ground receivers.
Transcribed Image Text:In a satellite radio system, 200 stereo stations are to be packaged in one data stream. For each station, two (left & right) signals of bandwidth 22 kHz are sampled, quantized, and binary-coded into PCM signals. The transmitter then multiplexes the data from the 200 stations into a single stream via TDM and modulates that stream onto a radio carrier using DSB-SC-AM. (a) If the maximum acceptable quantization error is 0.25%of the peak signal voltage, find the minimum number of bits needed for a uniform quantizer. (b) If the sampling rate must be 25% higher than the Nyquist rate, find the minimum bit rate of the multiplexed data stream, based on the quantizer of part (a). (c) If 10% more bits are added for error correction and framing, determine the minimum bandwidth of the radio signal sent to the ground receivers.
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