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Multi-rate control over AWGN channels via analog joint source-channel coding

Khina, Anatoly and Pettersson, Gustav M. and Kostina, Victoria and Hassibi, Babak (2016) Multi-rate control over AWGN channels via analog joint source-channel coding. In: IEEE 55th Conference on Decision and Control (CDC). IEEE , Piscataway, NJ, pp. 5968-5973. ISBN 978-1-5090-1837-6. https://resolver.caltech.edu/CaltechAUTHORS:20170106-132902522

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Abstract

We consider the problem of controlling an unstable plant over an additive white Gaussian noise (AWGN) channel with a transmit power constraint, where the signaling rate of communication is larger than the sampling rate (for generating observations and applying control inputs) of the underlying plant. Such a situation is quite common since sampling is done at a rate that captures the dynamics of the plant and which is often much lower than the rate that can be communicated. This setting offers the opportunity of improving the system performance by employing multiple channel uses to convey a single message (output plant observation or control input). Common ways of doing so are through either repeating the message, or by quantizing it to a number of bits and then transmitting a channel coded version of the bits whose length is commensurate with the number of channel uses per sampled message. We argue that such “separated source and channel coding” can be suboptimal and propose to perform joint source-channel coding. Since the block length is short we obviate the need to go to the digital domain altogether and instead consider analog joint source-channel coding. For the case where the communication signaling rate is twice the sampling rate, we employ the Archimedean bi-spiral-based Shannon-Kotel'nikov analog maps to show significant improvement in stability margins and linear-quadratic Gaussian (LQG) costs over simple schemes that employ repetition.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/CDC.2016.7799185DOIArticle
http://ieeexplore.ieee.org/document/7799185/PublisherArticle
https://arxiv.org/abs/1609.07715arXivDiscussion Paper
ORCID:
AuthorORCID
Khina, Anatoly0000-0003-2359-1678
Kostina, Victoria0000-0002-2406-7440
Additional Information:© 2016 IEEE. The work of A. Khina was supported in part by a Fulbright fellowship, Rothschild fellowship and has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłlodowska-Curie grant agreement No 708932. The work of G. M. Pettersson at Caltech was supported by The Boeing Company under the SURF program. The work of B. Hassibi was supported in part by the National Science Foundation 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 Directors Fund, and by King Abdullah University of Science and Technology.
Funders:
Funding AgencyGrant Number
Fulbright FoundationUNSPECIFIED
Rothschild FoundationUNSPECIFIED
Marie Curie Fellowship708932
Boeing CorporationUNSPECIFIED
Caltech Summer Undergraduate Research Fellowship (SURF)UNSPECIFIED
NSFCNS-0932428
NSFCCF-1018927
NSFCCF-1423663
NSFCCF-1409204
Qualcomm Inc.UNSPECIFIED
JPL Director's Discretionary FundUNSPECIFIED
Caltech President’s FundUNSPECIFIED
King Abdullah University of Science and Technology (KAUST)UNSPECIFIED
Subject Keywords: Channel coding, Signal to noise ratio, Distortion, Observers, AWGN channels, Receivers
Record Number:CaltechAUTHORS:20170106-132902522
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170106-132902522
Official Citation:A. Khina, G. M. Pettersson, V. Kostina and B. Hassibi, "Multi-rate control over AWGN channels via analog joint source-channel coding," 2016 IEEE 55th Conference on Decision and Control (CDC), Las Vegas, NV, USA, 2016, pp. 5968-5973. doi: 10.1109/CDC.2016.7799185 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7799185&isnumber=7798233
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:73308
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:06 Jan 2017 23:03
Last Modified:03 Oct 2019 16:26

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