Q1. An analog signal has a 4 kHz bandwidth. The signal is sampled at 2.5 times the Nyquist rate and each sample is quantized into one of 256 levels. The quantized samples are then encoded and sent over a baseband AWGN channel. (a) Find the data rate of the transmitted PCM signal. (b) Can the data be transmitted without errors over the communication channel if the channel bandwidth is 40 kHz and its SNR is 23 dB? (c) What will be the bandwidth requirements of the channel for transmitting the output of the PCM system without errors if the SNR is 10 dB?

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Q1. An analog signal has a 4 kHz bandwidth. The signal is sampled at 2.5 times the Nyquist
rate and each sample is quantized into one of 256 levels. The quantized samples are then
encoded and sent over a baseband AWGN channel.
(a) Find the data rate of the transmitted PCM signal.
(b) Can the data be transmitted without errors over the communication channel if the
channel bandwidth is 40 kHz and its SNR is 23 dB?
(c) What will be the bandwidth requirements of the channel for transmitting the output of
the PCM system without errors if the SNR is 10 dB?
Transcribed Image Text:Q1. An analog signal has a 4 kHz bandwidth. The signal is sampled at 2.5 times the Nyquist rate and each sample is quantized into one of 256 levels. The quantized samples are then encoded and sent over a baseband AWGN channel. (a) Find the data rate of the transmitted PCM signal. (b) Can the data be transmitted without errors over the communication channel if the channel bandwidth is 40 kHz and its SNR is 23 dB? (c) What will be the bandwidth requirements of the channel for transmitting the output of the PCM system without errors if the SNR is 10 dB?
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