Polar coordinate quantizers that minimize mean-squared error
Date
1994
Authors
Scharf, Louis L., author
Voran, Stephen D., author
IEEE, publisher
Journal Title
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Abstract
A quantizer for complex data is defined by a partition of the complex plane and a representation point associated with each cell of the partition. A polar coordinate quantizer independently quantizes the magnitude and phase angle of complex data. We derive design equations for minimum mean-squared error polar coordinate quantizers and report some interesting theoretical results on their performance, including performance limits for "phase-only" representations. The results provide a concrete example of a biased estimator whose mean-squared error is smaller than that of any unbiased estimator. Quantizer design examples show the relative importance of magnitude and phase encoding.
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Rights Access
Subject
encoding
approximation theory
analogue-digital conversion