A Caltech Library Service

Fundamental limits of distributed tracking

Kostina, Victoria and Hassibi, Babak (2020) Fundamental limits of distributed tracking. In: 2020 IEEE International Symposium on Information Theory (ISIT). IEEE , Piscataway, NJ, pp. 2438-2443. ISBN 978-1-7281-6432-8.

[img] PDF (1 Jun 2020) - Submitted Version
See Usage Policy.


Use this Persistent URL to link to this item:


Consider the following communication scenario. An n-dimensional source with memory is observed by K isolated encoders via parallel channels, who causally compress their observations to transmit to the decoder via noiseless rate-constrained links. At each time instant, the decoder receives K new codewords from the observers, combines them with the past received codewords, and produces a minimum- distortion estimate of the latest block of n source symbols. This scenario extends the classical one-shot CEO problem to multiple rounds of communication with communicators maintaining memory of the past.We prove a coding theorem showing that the minimum asymptotically (as n → ∞) achievable sum rate required to achieve a target distortion is equal to the directed mutual information from the observers to the decoder minimized subject to the distortion constraint and the separate encoding constraint. For the Gauss-Markov source observed via K parallel AWGN channels, we solve that minimal directed mutual information problem, thereby establishing the minimum asymptotically achievable sum rate. Finally, we explicitly bound the rate loss due to a lack of communication among the observers; that bound is attained with equality in the case of identical observation channels.The general coding theorem is proved via a new nonasymptotic bound that uses stochastic likelihood coders and whose asymptotic analysis yields an extension of the Berger-Tung inner bound to the causal setting. The analysis of the Gaussian case is facilitated by reversing the channels of the observers.

Item Type:Book Section
Related URLs:
URLURL TypeDescription Paper ItemJournal Article
Kostina, Victoria0000-0002-2406-7440
Additional Information:© 2020 IEEE. This work was supported in part by the National Science Foundation (NSF) under grants CCF-1751356 and CCF-1817241. The work of Babak Hassibi was supported in part by the NSF under grants CNS-0932428, CCF-1018927, CCF-1423663 and CCF-1409204, by a grant from Qualcomm Inc., by NASA’s Jet Propulsion Laboratory through the President and Director’s Fund, and by King Abdullah University of Science and Technology.
Funding AgencyGrant Number
JPL President and Director's FundUNSPECIFIED
King Abdullah University of Science and Technology (KAUST)UNSPECIFIED
Subject Keywords:CEO problem, Berger-Tung bound, distributed source coding, causal rate-distortion theory, Gauss-Markov source, LQG control
Record Number:CaltechAUTHORS:20191213-102421150
Persistent URL:
Official Citation:V. Kostina and B. Hassibi, "Fundamental limits of distributed tracking," 2020 IEEE International Symposium on Information Theory (ISIT), Los Angeles, CA, USA, 2020, pp. 2438-2443, doi: 10.1109/ISIT44484.2020.9174006
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:100285
Deposited By: George Porter
Deposited On:16 Dec 2019 15:25
Last Modified:22 Dec 2021 21:14

Repository Staff Only: item control page