Space programs summary no. 37-60, volume 2, for the period 1 September to 31 October 1969. The deep space network

Telemetry and ground support equipment design and developments for Deep Space Networ

Asymptotic Performance of Unrestricted Polar Quantizers

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 (\u3c 3 bits/dimension). An asymptotic mean-squared error analysis of the UPQ\u27s with a general circularly symmetric source is presented. The performance of the UPQ\u27s 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