Asymptotic Performance of Unrestricted Polar Quantizers
Date of Original Version
Unrestricted polar quantizers (UPQ‘s) were previously introduced to overcome the weak mean-squared error performance of polar coordinate quantizers for the independent bivariate Gaussian source when the number of levels was small (< 3 bits/dimension). An asymptotic mean-squared error analysis of the UPQ's with a general circularly symmetric source is presented. The performance of the UPQ's is shown to be asymptotically within 0.17 dB of that of the optimum bivariate quantizer. The results are extended to dimensions greater than two. Examples for the independent Gaussian source are included. Copyright © 1986 by The Institute of Electrical and Electronics Engineers, Inc.
IEEE Transactions on Information Theory
Swaszek, Peter F., and Tsu W. Ku. "Asymptotic Performance of Unrestricted Polar Quantizers." IEEE Transactions on Information Theory 32, 2 (1986): 330-333. doi:10.1109/TIT.1986.1057141.