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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Vydáno v:Conference record - Asilomar Conference on Signals, Systems, & Computers s. 428 - 432
Hlavní autoři: Stavrou, Photios A., Skoglund, Mikael
Médium: Konferenční příspěvek
Jazyk:angličtina
Vydáno: IEEE 01.11.2020
Témata:
Computers
Decoding
Distortion
Gaussian processes
Source coding
Upper bound
ISSN:2576-2303
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Abstract 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).
AbstractList 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).
Author Skoglund, Mikael
Stavrou, Photios A.
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  givenname: Mikael
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Snippet 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...
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StartPage 428
SubjectTerms Computers
Decoding
Distortion
Gaussian processes
Source coding
Upper bound
Title Non-asymptotic Bounds via Causal Coding on Scalar-Valued Gauss-Markov Sources with MSE Distortion and CaSI
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