Problem 1: In a PCM system, the bit error rate due to channel noise is 10-4. Assume that the peak signal-to-noise ratio on the recovered analog signal needs to be at least 30dB. (a) Find the minimum number of quantizing steps that can be used to encode the analog signal into a PCM signal, (b) If the original analog signal had an absolute bandwidth of 2.7 kHz, what is the null-bandwidth of the PCM sienal for the polar NRZ sienaling case?
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
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