2017/10/12 by Jun Chen, Li Xie, Chen, Jun +7
Engineering · #Advanced MIMO Systems Optimization #Energy Harvesting in Wireless Networks #FOS: Computer and information sciences #Information Theory (cs.IT) #Wireless Communication Security Techniques
paper · pdf · doi:10.48550/arxiv.1710.04750
openalex publication_date 2017/10/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Consider a generalized multiterminal source coding system, where ℓ\choose m encoders, each observing a distinct size-m subset of ℓ (ℓ≥ 2) zero-mean unit-variance symmetrically correlated Gaussian sources with correlation coefficient ρ, compress their observations in such a way that a joint decoder can reconstruct the sources within a prescribed mean squared error distortion based on the compressed data. The optimal rate-distortion performance of this system was previously known only for the two extreme cases m=ℓ (the centralized case) and m=1 (the distributed case), and except when ρ=0, the centralized system can achieve strictly lower compression rates than the distributed system under all non-trivial distortion constraints. Somewhat surprisingly, it is established in the present paper that the optimal rate-distortion performance of the afore-described generalized multiterminal source coding system with m≥ 2 coincides with that of the centralized system for all distortions when ρ≤ 0 and for distortions below an explicit positive threshold (depending on m) when ρ>0. Moreover, when ρ>0, the minimum achievable rate of generalized multiterminal source coding subject to an arbitrary positive distortion constraint d is shown to be within a finite gap (depending on m and d) from its centralized counterpart in the large ℓ limit except for possibly the critical distortion d=1-ρ.