5.2-1 A compact disc (CD) records audio signals digitally by using PCM. Let the audio signal bandwidth be 15 kHz. (a) If the Nyquist samples are uniformly quantized into L = 65,536 levels and then binary-coded, determine the number of binary digits required to encode a sample. (b) If the audio signal has average power of 0.1 W and peak voltage of 1 V, find the resulting ratio of signal to quantization noise (SNR) of the uniform quantizer output in part (a). (c) Determine the number of binary digits per second (bit/s) required to encode the audio signal.

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5.2-1 A compact disc (CD) records audio signals digitally by using PCM. Let the audio signal
bandwidth be 15 kHz.
(a) If the Nyquist samples are uniformly quantized into L = 65,536 levels and then
binary-coded, determine the number of binary digits required to encode a sample.
(b) If the audio signal has average power of 0.1 W and peak voltage of 1 V, find the resulting
ratio of signal to quantization noise (SNR) of the uniform quantizer output in part (a).
(c) Determine the number of binary digits per second (bit/s) required to encode the audio
signal.
(d) For practical reasons discussed in the text, signals are sampled at a rate well above the
Nyquist rate. Practical CDs use 44,100 samples per second. If L = 65,536, determine
the number of bits per second required to encode the signal and the minimum bandwidth
required to transmit the encoded signal.
Transcribed Image Text:5.2-1 A compact disc (CD) records audio signals digitally by using PCM. Let the audio signal bandwidth be 15 kHz. (a) If the Nyquist samples are uniformly quantized into L = 65,536 levels and then binary-coded, determine the number of binary digits required to encode a sample. (b) If the audio signal has average power of 0.1 W and peak voltage of 1 V, find the resulting ratio of signal to quantization noise (SNR) of the uniform quantizer output in part (a). (c) Determine the number of binary digits per second (bit/s) required to encode the audio signal. (d) For practical reasons discussed in the text, signals are sampled at a rate well above the Nyquist rate. Practical CDs use 44,100 samples per second. If L = 65,536, determine the number of bits per second required to encode the signal and the minimum bandwidth required to transmit the encoded signal.
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