Uniform Quantizers: Optimization and Universal Curves

Jean-Claude A. Demaret, Patrick P. Bergmans · IEEE Transactions on Industrial Electronics and Control Instrumentation · 1975

The distortion between input and output of uniform quantizers is investigated for a Gaussian input probability density and for the magnitude-error distortion measure. The minimization of this distortion leads to optimum uniform quantizers. A set of universal curves relating the distortion to the spacing of the thresholds is given. The usefulness of these curves is demonstrated in the solution of a few practica1 problems.

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