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DESIGN OF OPTIMAL ENTROPY-CONSTRAINED UNRESTRICTED POLAR QUANTIZER FOR BIVARIATE CIRCULARLY SYMMETRIC SOURCES

Citation Author(s):
Huihui Wu, Sorina Dumitrescu
Submitted by:
HUIHUI WU
Last updated:
14 April 2018 - 12:14pm
Document Type:
Poster
Document Year:
2018
Event:
Presenters:
Huihui Wu, Sorina Dumitrescu
Paper Code:
SPTM-P11.3
 

This paper proposes an algorithm for the design of entropy-constrained unrestricted polar quantizer (ECUPQ) for bivariate circularly symmetric sources. The algorithm is globally optimal for the class of ECUPQs with magnitude quantizer thresholds confined to a finite set. The optimization problem is formulated as the minimization of a weighted sum of the distortion and entropy and the proposed solution is based on modeling the problem as a minimum-weight path problem in a certain weighted directed acyclic graph. The proposed algorithm enables solving the overall problem in
$O(K^2\log \hat{\mathcal{|P|}})$ time, where $K$ is the size of the set of possible magnitude thresholds and $\hat{\mathcal{P}}$ is the set of the number of phase levels for the uniform phase quantizers.

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