Non-asymptotic Bounds via Causal Coding on Scalar-Valued Gauss-Markov Sources with MSE Distortion and CaSI

We consider a causal source coding problem where a scalar Gauss-Markov source is conveyed through a noiseless communication link subject to a normalized (over time) total MSE distortion constraint. We study the impact of causal side information (CaSI) modeled as a scalar-valued Gaussian process, tha...

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Bibliographic Details
Published in:Conference record - Asilomar Conference on Signals, Systems, & Computers pp. 428 - 432
Main Authors: Stavrou, Photios A., Skoglund, Mikael
Format: Conference Proceeding
Language:English
Published: IEEE 01.11.2020
Subjects:
Computers
Decoding
Distortion
Gaussian processes
Source coding
Upper bound
ISSN:2576-2303
Online Access:Get full text
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Summary:We consider a causal source coding problem where a scalar Gauss-Markov source is conveyed through a noiseless communication link subject to a normalized (over time) total MSE distortion constraint. We study the impact of causal side information (CaSI) modeled as a scalar-valued Gaussian process, that is correlated to the source, on the performance of the overall system for two scenarios: (i) when CaSI is available at both the encoder and the decoder, and (ii) when CaSI is available only the decoder. For (i) we derive non-asymptotic lower and upper bounds on the infimum of all achievable normalized (over time) total rates for any fixed finite time horizon. For (ii) we introduce a new "Wyner-Ziv type" lower bound and give conditions for jointly Gaussian processes based on which the lower bound for this setup coincides with the lower bound of (i).
ISSN:2576-2303
DOI:10.1109/IEEECONF51394.2020.9443303