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A Recursive Quantizer Design Algorithm for Binary-Input Discrete Memoryless Channels

delete2021-08-01
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M
Mehdi Dabirnia *
A
Alfonso García Martínez
A
Albert Guillén i Fàbregas
DOI:10.1109/TCOMM.2021.3076174delete
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Abstract

Abstract

En 中文
The optimal quantization of output binary-input discrete memoryless channels is considered, whereby the optimal quantizer preserves at least a constant alpha-fraction of the original mutual information, with the smallest output cardinality. Two recursive methods with top-down and bottom-up approaches are developed; these methods lead to a new necessary condition for the recursive quantizer design. An efficient algorithm with linear complexity, based on dynamic programming and the new necessary optimality condition, is proposed.
Keywords:
Channel quantization
discrete memoryless channel
mutual information preserving quantizer
partitioning and clustering
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IEEE Transactions on Communications cover
IEEE Transactions on Communications
IF:
8.3
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1.2W
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Pompeu Fabra University
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Citations: 11