(a) The message input of the Pulse Code Modulation (PCM) is given as follows: Am (t) = cos (20xt) (i) Suggest the minimum sampling frequency and justify why this value is suggested. Support your justification by illustrating its frequency spectrum with complete labels. (ii) If the message signal in quantized uniformly to 16,383 levels, calculate the number of bits required to encode the samples
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:
![(a) The message input of the Pulse Code Modulation (PCM) is given as follows:
Am (t) = cos (20t)
(i) Suggest the minimum sampling frequency and justify why this value is
suggested. Support your justification by illustrating its frequency spectrum with
complete labels.
(ii) If the message signal in quantized uniformly to 16,383 levels, calculate the
number of bits required to encode the samples](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F61693218-20d6-4fad-aa50-b7a155dd4c04%2Fe66c489d-2fa4-42c5-b214-2a68c7925e87%2F1oki08_processed.jpeg&w=3840&q=75)
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