Solve the following, if a television signal (video and audio) has a bandwidth of 4.5 MHz. This signal is sampled, quantized, and binary coded to obtain a PCM signal. I. Find the sampling rate if the signal is to be sampled at a rate of 20% above the Nyquist rate II. If the samples are quantized into 2048 levels, determine the number of binary pulses required to encode each sample Ill. Determine the binary pulse rate (bits per second) of the binary-coded signal, (or ) the minimum bandwidth required to transmit this signal lV. Find the channel capacity using the Nyquist rule.
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.
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Solve the following, if a television signal (video and audio) has a bandwidth of 4.5 MHz. This signal is sampled, quantized, and binary coded to obtain a PCM signal.
I. Find the sampling rate if the signal is to be sampled at a rate of 20% above the Nyquist rate
II. If the samples are quantized into 2048 levels, determine the number of binary pulses required to encode each sample
Ill. Determine the binary pulse rate (bits per second) of the binary-coded signal, (or ) the minimum bandwidth required to transmit this signal
lV. Find the channel capacity using the Nyquist rule.
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