A music signal x(t) is band-limited to 4 kHz is sampled at a rate 50% higher than the Nyquist rate. The signal level ranges from -xmax to xmax. The maximum acceptable error in the sample amplitude is 0.5% of the peak amplitude xmax. The quantized samples are encoded by PCM encoder. Then, the required number of bits per sample is a. 8 b. 4 c. 10 d. 6
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The Nyquist rate is twice the maximum frequency, so it would be 2*4 kHz = 8 kHz. The signal is sampled at a rate 50% higher than the Nyquist rate, so the sampling rate is 1.5*8 kHz = 12 kHz. The maximum acceptable error in the sample amplitude is 0.5% of the Show more…
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