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 (?) ?? needs to be minimum of 40 dB. i) What is the minimum number of uniform quantization levels needed? ii) What is the minimum number of bits required per sample? at the output iii) Calculate the bandwidth of this system required for the detection of such PCM signal.

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Quantization and Resolution

Quantization is a methodology of carrying out signal modulation by the process of mapping input values from an infinitely long set of continuous values to a smaller set of finite values. Quantization forms the basic algorithm for lossy compression algorithms and represents a given analog signal into digital signals. In other words, these algorithms form the base of an analog-to-digital converter. Devices that process the algorithm of quantization are known as a quantizer. These devices aid in rounding off (approximation) the errors of an input function called the quantized value.

Probability of Error

This topic is widely taught in many undergraduate and postgraduate degree courses of: