Q2] A-Discrete maximum value of the analog sample is to be represented within 0.05% samples of an analog signal are uniformly quantized to PCM. If the accuracy, find the minimum number of binary digits required per sample. B-Show that the signal-to-quantization noise ratio in an n-bit binary PCM system, where n is the number of bits uniquely assigned to each of the L quantization levels (L= 2n) is 1.76+6n dB with a sinusoidal analog signal input.

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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: