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(Solved): 3) A PCM system with uniform quantization is used to transmit a speech signal. The bandwidth of the ...
3) A PCM system with uniform quantization is used to transmit a speech signal. The bandwidth of the signal is equal to . Assume that the signal has a dynamic range that varies between -3 and 3 volts (i.e. peak to peak value equal to ). Upon reconstruction of the signal the quantization noise is not to exceed of the peak of the signal and the number of quantization levels must be a power of 2. b) Determine the quantization noise power. c) Model the signal as a sinusoid and determine the SNR for the reconstructed signal. d) Assume that we change the above quantization scheme by doubling the number of quantization levels in c). What is the resulting change in SNR in ? e) Determine the number of bits required to represent each sample assuming the number of quantization levels in a). f) Determine the bit rate of the resulting PCM signal.
Expert Answer
KN a) To decide the littlest number of quantization levels that meet the given limitations, we got to calculate the greatest quantization blunder permitted.Given that the energetic run of the flag is -3V to 3V, the peak-to-peak esteem is 6V.The quantization commotion ought to not surpass 0.5% of the top esteem of the flag. In this manner, the most extreme quantization mistake permitted is:Max Quantization Blunder = = = The littlest number of quantization levels that meets this imperative is given by:Number of Quantization Levels = (Peak-to-Peak Esteem) / (Max Quantization Mistake)Number of Quantization Levels = 6V / 0.03V= 200 levelsIn any case, the number of quantization levels must be a control of 2. So, the closest control of 2 more prominent than or break even with to 200 is 256.In this manner, the littlest number of quantization levels that meet the given limitations is 256.Please refer the following step for solution