An analog signal has a duration of 1 minute. The spectral content ranges from near dc to 500 Hz. The signal is to be sampled, converted to digital format, and stored in memory for subsequent processing. To assist in recovery, the sampling rate is chosen to be 25% above the theoretical minimum. (a) Determine the minimum number of samples that must be taken if reconstruction is desired. (b) Determine the time interval between successive samples.

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A: The solution is provided in the following section.

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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: