Abstract

This paper describes an algorithm which allows to find out the M-output level quantizer characteristics minimizing the distortion with respect to both the Mean-Squared-Error (MSE) and Mean-Absolute-Error (MAE) criterions. This algorithm can be used with any kind of signal amplitude distributions ranging from analytical probability density functions (pdf) to experimental 'density functions. In the particular case of known pdf like uniform, Gaussian, Laplacian and Gamma densities, it gives results which agree or are better than those previously published /2,4,5,6/. The same type of algorithmic procedure may also be used for block-of-samples quantization; in this case the statistics average must be replaced by the time average. In addition, the simplicity of the proposed algorithm allows to envisage a real-time, microprocessor based, block adaptive quantizer implementation in which the quantizer parameters are periodically updated and transmitted with each data block. This technique can be used, for instance, to optimally quantize the speech coding parameters derived from the low bit rates speech compression algorithm as described in [7].

Keywords

AlgorithmQuantization (signal processing)GaussianRangingProbability density functionComputer scienceMean squared errorBlock (permutation group theory)MathematicsData compressionStatistics

Affiliated Institutions

Related Publications

Quantizing for minimum distortion

This paper discusses the problem of the minimization of the distortion of a signal by a quantizer when the number of output levels of the quantizer is fixed. The distortion is d...

1960 IEEE Transactions on Information Theory 2042 citations

Asymptotically optimal block quantization

In 1948 W. R. Bennett used a companding model for nonuniform quantization and proposed the formula <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3...

1979 IEEE Transactions on Information Theory 868 citations

Low-Density Parity-Check Codes

This is a complete presentation of all important theoretical and experimental work done on low-density codes. Low-density coding is one of the three techniques thus far develope...

1963 The MIT Press eBooks 4319 citations

Publication Info

Year
2005
Type
article
Volume
4
Pages
980-984
Citations
12
Access
Closed

External Links

Social Impact

Social media, news, blog, policy document mentions

Citation Metrics

12
OpenAlex

Cite This

J. Menez, F. Boéri, D. Esteban (2005). Optimum quantizer algorithm for real-time block quantizing. , 4 , 980-984. https://doi.org/10.1109/icassp.1979.1170824

Identifiers

DOI
10.1109/icassp.1979.1170824