Multiple Description Coding for Closed Loop Systems over Erasure Channels

Jan Østergaard, Daniel Quevedo

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

2 Citations (Scopus)
291 Downloads (Pure)


In this paper, we consider robust source coding in closed-loop systems. In particular, we
consider a (possibly) unstable LTI system, which is to be stabilized via a network. The network
has random delays and erasures on the data-rate limited (digital) forward channel between
the encoder (controller) and the decoder (plant). The feedback channel from the decoder to
the encoder is assumed noiseless. Since the forward channel is digital, we need to employ
quantization.We combine two techniques to enhance the reliability of the system. First, in order
to guarantee that the system remains stable during packet dropouts and delays, we transmit
quantized control vectors containing current control values for the decoder as well as future
predicted control values. Second, we utilize multiple description coding based on forward error
correction codes to further aid in the robustness towards packet erasures. In particular, we
transmit M redundant packets, which are constructed such that when receiving any J packets,
the current control signal as well as J-1 future control signals can be reliably reconstructed
at the decoder. We prove stability subject to quantization constraints, random dropouts, and
delays by showing that the system can be cast as a Markov jump linear system.
Original languageEnglish
Title of host publicationIEEE Data Compression Conference DCC : DCC
Number of pages10
PublisherIEEE Press
Publication dateMar 2013
ISBN (Print)978-1-4673-6037-1
ISBN (Electronic)978-0-7695-4965-1
Publication statusPublished - Mar 2013
EventIEEE Data Compression Conference - The Cliff Lodge, Snowbird, United States
Duration: 20 Mar 201322 Mar 2013
Conference number: 30553


ConferenceIEEE Data Compression Conference
LocationThe Cliff Lodge
CountryUnited States
SeriesData Compression Conference. Proceedings

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