Optimal circularly symmetric quantizers

✍ Scribed by Peter F. Swaszek; John B. Thomas

• Book ID: 103088557
• Publisher: Elsevier Science
• Year: 1982
• Tongue: English
• Weight: 623 KB
• Volume: 313
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(82)90059-x

✦ Synopsis

Polar coordinates quantization of the bivariate Gaussian and other circularly symmetric sources has already been investigated. The schemes quantize the polar coordinates representation of the random variables independently in an attempt to reduce the mean square error below that of an analogous rectangular coordinates quantizer. It has been shown for the Gaussian case that the polar quantizer outperforms the rectangular quantizer when the number of levels N is large, while for small N, the rectangular form is often better than the polar form. This paper is an investigation of the optimality of polar quantiters with the subsequent development of optimal circularly symmetric quantizers (labelled Din'chlet polar quantizers).