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By Saeed V. Vaseghi

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Additional info for Advanced Signal Processing and Noise Reduction, 2nd Edition (Electrical Engineering & Applied Signal Processing Series)

Sample text

For quantisation to n bits, the amplitude range of the signal is divided into 2n discrete levels, and each sample is quantised to the nearest quantisation level, and then mapped to the binary code assigned to that level. 21 illustrates the quantisation of a signal into 4 discrete levels. Quantisation is a many-to-one mapping, in that all the values that fall within the continuum of a quantisation band are mapped to the centre of the band. 25) where Q[· ] is the quantising function. The performance of a quantiser is measured by signal–to–quantisation noise ratio SQNR per bit.

For convenience of notation Ts is usually assumed to be unity. e. 5) the autocorrelation function is a delta function. 3 Coloured Noise Although the concept of white noise provides a reasonably realistic and mathematically convenient and useful approximation to some predominant noise processes encountered in telecommunication systems, many other noise processes are non-white. The term coloured noise refers to any broadband noise with a non-white spectrum. For example most audiofrequency noise, such as the noise from moving cars, noise from computer fans, electric drill noise and people talking in the background, has a nonwhite predominantly low-frequency spectrum.

For convenience of notation Ts is usually assumed to be unity. e. 5) the autocorrelation function is a delta function. 3 Coloured Noise Although the concept of white noise provides a reasonably realistic and mathematically convenient and useful approximation to some predominant noise processes encountered in telecommunication systems, many other noise processes are non-white. The term coloured noise refers to any broadband noise with a non-white spectrum. For example most audiofrequency noise, such as the noise from moving cars, noise from computer fans, electric drill noise and people talking in the background, has a nonwhite predominantly low-frequency spectrum.

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