A DPCM system with first order predictor is used with a mid-rise uniform quantizer with a step A = 0.1. 1) If the input signal is half a cycle of 10 cos(5πt +π/2) sampled at four times the Nyquist rate and the first sample at t = 0, what will be the output of the encoder? Assume the predictor has zero initial state, and the quantizer approximates a sample at the middle between two levels to the upper one. 2) What will be the output of the receiver? 3) What is the end-to-end quantization noise?

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A DPCM system with first order predictor is used with a mid-rise uniform quantizer with a step A = 0.1.
1) If the input signal is half a cycle of 10 cos(5πt + π/2) sampled at four times the Nyquist rate and
the first sample at t = 0, what will be the output of the encoder? Assume the predictor has zero
initial state, and the quantizer approximates a sample at the middle between two levels to the upper
one.
2) What will be the output of the receiver?
3) What is the end-to-end quantization noise?
Transcribed Image Text:A DPCM system with first order predictor is used with a mid-rise uniform quantizer with a step A = 0.1. 1) If the input signal is half a cycle of 10 cos(5πt + π/2) sampled at four times the Nyquist rate and the first sample at t = 0, what will be the output of the encoder? Assume the predictor has zero initial state, and the quantizer approximates a sample at the middle between two levels to the upper one. 2) What will be the output of the receiver? 3) What is the end-to-end quantization noise?
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