An analog signal with a bandwidth of 10 kHz is to be sampled and digitally stored on a storage tape after PCM conservation. The specification is that the signal should be sampled at twice its Nyquist rate and the average SNR of quantization must be at least 45 dB. (a) If we assume a uniform quantization, how many bits per sample is necessary to achieve the SNR requirements? (b) What is the minimum bandwidth required on our tape to encode the binary digital signal? (c) How much memory is needed to record 10-minute duration of this 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: