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Vector Gaussian Successive Refinement With Degraded Side Information

2020/02/18 by Yinfei Xu, Xuan Guang, Xu, Yinfei +5
Engineering · #Advanced MIMO Systems Optimization #FOS: Computer and information sciences #Information Theory (cs.IT) #Sparse and Compressive Sensing Techniques #Wireless Communication Security Techniques

paper · pdf · doi:10.48550/arxiv.2002.07324

openalex publication_date 2020/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the problem of the successive refinement for Wyner-Ziv coding with degraded side information and obtain a complete characterization of the rate region for the quadratic vector Gaussian case. The achievability part is based on the evaluation of the Tian-Diggavi inner bound that involves Gaussian auxiliary random vectors. For the converse part, a matching outer bound is obtained with the aid of a new extremal inequality. Herein, the proof of this extremal inequality depends on the integration of the monotone path argument and the doubling trick as well as information-estimation relations.

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