Asymptotic Analysis of Optimal Uniform Polar Quantization

Authors: Peric Z.H.¹; Stefanovic M.C.¹

Source: AEÜ – International Journal of Electronics and Communications, Volume 56, Number 5, September 2002 , pp. 345-347(3)

Publisher: Urban & Fischer

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Abstract:

In this paper the simple and complete asymptotically analysis is given for a uniform polar quantizer with respect to mean-square error (MSE) i.e. granular distortion (D_g). We also give the conditions for optimality of the polar quantizer and all main equations for phase partitions and optimal number of levels are presented. We derive the D_g^opt in a closed form. The gain of optimal uniform polar quantization over product polar quantizations [1–3], is afforded by allowing a variable number of phases at each magnitude level. We also obtain gain (G) in a closed form.

Keywords: Optimal phase divisions; Optimal number of levels; Optimal granular distortion

Language: English

Document Type: Miscellaneous

DOI: 10.1078/1434-8411-54100111

Affiliations: 1: Faculty of Electronic Engineering, University of Nis, Serbia. E-mail: peric@elfak.ni.ac.yu

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