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Optimal Number of Phase Divisions in Polar QuantizationZoran H. PERIC, Bane V. VASIC |
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Author keywords
distortion, polar quantization, optimal phase divisions
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About this article
Date of Publication: 2003-04-02
Volume 3, Issue 1, Year 2003, On page(s): 5 - 10
ISSN: 1582-7445, e-ISSN: 1844-7600
Digital Object Identifier: Not assigned
Abstract
The motivation for this work is maintaining high accuracy of phase information that is required for some applications such as interferometry and polarimetry, polar quantization techniques as well as their applications in areas such as computer holography, discrete Fourier transform encoding, and image processing. In this paper we consider quantization of polar variables and mean-square error (MSE) i.e. distortion (D). The distortion minimization is constrained only by the total number of quantization points, N. We prove the convexity of the function D in dependence on the disposition of number of points on levels under the constraint of the total number of points and give the equations for determining the optimal number of phase divisions on levels for fixed values of decision thresholds and representation levels. |
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Stefan cel Mare University of Suceava, Romania
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Faculty of Electrical Engineering and Computer Science
Stefan cel Mare University of Suceava, Romania
All rights reserved: Advances in Electrical and Computer Engineering is a registered trademark of the Stefan cel Mare University of Suceava. No part of this publication may be reproduced, stored in a retrieval system, photocopied, recorded or archived, without the written permission from the Editor. When authors submit their papers for publication, they agree that the copyright for their article be transferred to the Faculty of Electrical Engineering and Computer Science, Stefan cel Mare University of Suceava, Romania, if and only if the articles are accepted for publication. The copyright covers the exclusive rights to reproduce and distribute the article, including reprints and translations.
Permission for other use: The copyright owner's consent does not extend to copying for general distribution, for promotion, for creating new works, or for resale. Specific written permission must be obtained from the Editor for such copying. Direct linking to files hosted on this website is strictly prohibited.
Disclaimer: Whilst every effort is made by the publishers and editorial board to see that no inaccurate or misleading data, opinions or statements appear in this journal, they wish to make it clear that all information and opinions formulated in the articles, as well as linguistic accuracy, are the sole responsibility of the author.
