References & Citations
Computer Science > Information Theory
Title: On the quantization goodness of polar lattices
(Submitted on 7 May 2024 (v1), last revised 13 May 2024 (this version, v2))
Abstract: In this work, we prove that polar lattices, when tailored for lossy compression, are quantization-good in the sense that their normalized second moments approach $\frac{1}{2\pi e}$ as the dimension of lattices increases. It has been predicted by Zamir et al. \cite{ZamirQZ96} that the Entropy Coded Dithered Quantization (ECDQ) system using quantization-good lattices can achieve the rate-distortion bound of i.i.d. Gaussian sources. In our previous work \cite{LingQZ}, we established that polar lattices are indeed capable of attaining the same objective. It is reasonable to conjecture that polar lattices also demonstrate quantization goodness in the context of lossy compression. This study confirms this hypothesis.
Submission history
From: Ling Liu [view email][v1] Tue, 7 May 2024 06:49:06 GMT (354kb)
[v2] Mon, 13 May 2024 18:18:41 GMT (355kb)
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