Question-related to Lloyd-Max quantization In signal detection, one often checks for the signal point (codebook) at...

Question-related to Lloyd-Max quantization

In signal detection, one often checks for the signal point (codebook) at the smallest Euclidean distance. What is the noise assumption that leads to that criterion or is this, in general, the optimum choice? Explain

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Answer :-

Under assumptions of high resolution and smooth densities, the quantization error behaved much like random “noise”: it had small correlation with the signal and had approximately a flat (“white”) spectrum. This led to an “additive-noise” model of quantizer error, since with these properties the formula could be interpreted as representing the quantizer output as the sum of a signal and white noise. This model was later popularized, but the viewpoint avoids the fact that the “noise” is in fact dependent on the signal and the approximations are valid only under certain conditions. Signal- independent quantization noise has generally been found to be perceptually desirable. This was the motivation for randomizing the action of quantization by the addition of a
dither signal, a method introduced as a
means of making quantized images look better by replacing the artifacts resulting from deterministic errors by random
noise.

genius_generous answered 1 year ago

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