Q1. a) In an audio system music signal is band limited to 5kHz.lt is digitized so that the peak signal power to quantization noise power is at least 104dB. Calculate: i) The sampling rate if the signal is sampled at a rate 3.5 times the Nyquist rate; ii) The number of quantization levels; ii) Number of bits per sample. iv) Bit rate; and

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Q1.
a) In an audio system music signal is band limited to 5kHz.lt is digitized so that the peak signal
power to quantization noise power is at least 104dB, Calculate:
i) The sampling rate if the signal is sampled at a rate 3.5 times the Nyquist rate;
ii) The number of quantization levels;
iii) Number of bits per sample.
iv) Bit rate; and
b) Show that the distance between two signal points of BPSK scheme is 2 E,. (
c) Consider a speech signal with spectral components limited to the frequency band 200 to 3500
Hz. Assume that the sampling rate of 12000 samples/s will be used to generate a PCM signal.
The ratio of peak signal power to average quantization noise power E), at the output
needs to be minimum of 40 dB.
i) What is the minimum number of uniform quantization levels needed?
(2 v...
ii) What is the minimum number of bits required per sample?
iii) Calculate the bandwidth of this system required for the detection of such PCM signal.
Transcribed Image Text:Q1. a) In an audio system music signal is band limited to 5kHz.lt is digitized so that the peak signal power to quantization noise power is at least 104dB, Calculate: i) The sampling rate if the signal is sampled at a rate 3.5 times the Nyquist rate; ii) The number of quantization levels; iii) Number of bits per sample. iv) Bit rate; and b) Show that the distance between two signal points of BPSK scheme is 2 E,. ( c) Consider a speech signal with spectral components limited to the frequency band 200 to 3500 Hz. Assume that the sampling rate of 12000 samples/s will be used to generate a PCM signal. The ratio of peak signal power to average quantization noise power E), at the output needs to be minimum of 40 dB. i) What is the minimum number of uniform quantization levels needed? (2 v... ii) What is the minimum number of bits required per sample? iii) Calculate the bandwidth of this system required for the detection of such PCM signal.
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