i) For a signal of bandwidth B Hz what is the minimum sampling rate at which the signal must be sampled to prevent distortion of the signal? ii) Show, using diagrams of the signal spectrum, why a signal that is not sampled at a sufficiently fast rate will suffer distortion. iii) An audio signal with a bandwidth of 0-20kHz is digitised with a sample resolution of 10 bits. What is the minimum bit rate required to transmit the audio signal? (Assume no data compression).
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:
1. a) Analogue signals, such as audio and video, are digitised for transmission over a digital communication network.
i) For a signal of bandwidth B Hz what is the minimum sampling rate at which the signal must be sampled to prevent distortion of the signal?
ii) Show, using diagrams of the signal spectrum, why a signal that is not sampled at a sufficiently fast rate will suffer distortion.
iii) An audio signal with a bandwidth of 0-20kHz is digitised with a sample resolution of 10 bits. What is the minimum bit rate required to transmit the audio signal? (Assume no data compression).
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