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Stabilization and Control over Gaussian Networks [chapter]

Ali A. Zaidi, Tobias J. Oechtering, Serdar Yüksel, Mikael Skoglund
2014 Lecture notes in control and information sciences  
In particular, the problem of remote stabilization of linear systems driven by Gaussian noise over Gaussian relay channels is considered.  ...  We provide an overview and some recent results on real-time communication and control over Gaussian channels.  ...  Acknowledgements We would like to thank the editors, B. Bernhardsson, G. Como, and A. Rantzer, for giving us an opportunity to write this chapter.  ... 
doi:10.1007/978-3-319-02150-8_2 fatcat:zptxmcoacjcmnh5z2l4piltxqe

Stabilization of Linear Systems Over Gaussian Networks

Ali A. Zaidi, Tobias J. Oechtering, Serdar Yuksel, Mikael Skoglund
2014 IEEE Transactions on Automatic Control  
The problem of remotely stabilizing a noisy linear time invariant plant over a Gaussian relay network is addressed.  ...  For the case with noiseless sources and parallel channels, non-linear policies which meet the lower bound have been identified. 1 A relay is a communication device whose sole purpose is to support communication  ...  The paper [26] focuses on mean-square stabilization of two-input two-output system over two parallel Gaussian channels.  ... 
doi:10.1109/tac.2014.2322213 fatcat:hqqf62vhvbgoddnvqph36w3tie

Stabilization of Linear Systems Over Gaussian Networks [article]

Ali A. Zaidi, Tobias J. Oechtering, Serdar Yuksel, Mikael Skoglund
2013 arXiv   pre-print
The problem of remotely stabilizing a noisy linear time invariant plant over a Gaussian relay network is addressed.  ...  For the case with noiseless sources and parallel channels, non-linear policies which meet the lower bound have been identified.  ...  The paper [26] focuses on mean-square stabilization of two-input two-output system over two parallel Gaussian channels.  ... 
arXiv:1307.7533v1 fatcat:yrthpc5ykrdfhabkcudqvzh4ky

Control Over Noisy Forward and Reverse Channels

Serdar Yuksel, Tamer Basar
2011 IEEE Transactions on Automatic Control  
Using properties of the underlying sampled Markov chain, we show that under variable-length coding and some realistic channel conditions, stability can be achieved over discrete-alphabet channels even  ...  For control over continuous-alphabet channels, however, a variable rate scheme is not necessary. We also show that memoryless policies are rateefficient for Gaussian channels.  ...  One of the earliest papers on the topic is [1] , which has shown that for a scalar discrete-time linear Gaussian system controlled over a Gaussian channel, the encoder and the controllers with noiseless  ... 
doi:10.1109/tac.2010.2081730 fatcat:bnt6cckjareh3atbvbh3p4xesm

Technical Program

2021 2020 IEEE Information Theory Workshop (ITW)  
It is shown here to be effective also in assisting the encoder: it achieves the helper capacity on the single-user Gaussian channel, on the multiple-access Gaussian channel, on the Exponential channel,  ...  The Schalkwijk-Kailath (SK) feedback scheme is a capacity-achieving coding scheme for the point-to-point white Gaussian channel with feedback.  ...  We describe new coding methods that allow for unique joint reconstruction of subsets of strings selected from a code and provide matching upper and lower bounds on the asymptotic rate of the underlying  ... 
doi:10.1109/itw46852.2021.9457668 fatcat:j425ygeajrbd5esztbe5zgygty

On the throughput, capacity, and stability regions of random multiple access

Jie Luo, A. Ephremides
2006 IEEE Transactions on Information Theory  
bound to the stability region.  ...  This paper studies finite-terminal random multiple access over the standard multipacket reception (MPR) channel.  ...  ACKNOWLEDGMENT The authors would like to thank Prof. Thomas Liggett for the insightful discussions on positive correlation and interacting particle systems.  ... 
doi:10.1109/tit.2006.874518 fatcat:ph4ffl23fzhljadxm4p73idlpq

Characterization of Information Channels for Asymptotic Mean Stationarity and Stochastic Stability of Non-stationary/Unstable Linear Systems [article]

Serdar Yüksel
2012 arXiv   pre-print
There have also been studies on non-causal and causal coding of unstable/non-stationary linear Gaussian sources.  ...  Stabilization of non-stationary linear systems over noisy communication channels is considered.  ...  References [45] , [85] , and [66] obtained the minimum lower bound needed for stabilization over noisy channels under a class of assumptions on the system noise and channels.  ... 
arXiv:1201.5360v3 fatcat:6a6oras3nzc2zchl52h5lv3rx4

2019 Index IEEE Transactions on Signal Processing Vol. 67

2019 IEEE Transactions on Signal Processing  
Chawla, A., +, TSP Aug. On the Use of the Z Transform of LTI Systems for the Synthesis of Steered Beams and Nulls in the Radiation Pattern of Leaky-Wave Antenna Arrays.  ...  ., +, TSP Aug. 15, 2019 4276-4290 Learning in Wireless Control Systems Over Nonstationary Channels.  ...  M Machine bearings Quickest Change Detection in the Presence of a Nuisance Change. Lau, T.S., +, TSP Oct. 15  ... 
doi:10.1109/tsp.2020.2968163 fatcat:dvvpqntb2rc2bjed5nnk4xora4

The MIMO ARQ Channel: Diversity–Multiplexing–Delay Tradeoff

H. El Gamal, G. Caire, M.O. Damen
2006 IEEE Transactions on Information Theory  
An integral component of the optimal IR-LAST coding scheme is a list decoder, based on the minimum mean-square error (MMSE) lattice decoding principle, for joint error detection and correction.  ...  Our analysis reveals some important insights on the benefits of ARQ in slowfading MIMO channels.  ...  The trans-mission of each block takes channel uses, by transmitting the matrix columns in parallel over the transmit antennas, as in standard space-time coding.  ... 
doi:10.1109/tit.2006.878173 fatcat:pz77u2y2kjc2bfnywtaiinns6a

Communicating Over Filter-and-Forward Relay Networks With Channel Output Feedback

Mayur Agrawal, David J. Love, Venkataramanan Balakrishnan
2016 IEEE Transactions on Signal Processing  
In this work, we propose a new lower bound for the capacity of the three-terminal relay channel with destination-to-source feedback in the presence of correlated noise.  ...  Relay networks aid in increasing the rate of communication from source to destination. However, the capacity of even a three-terminal relay channel is an open problem.  ...  Therefore a lower bound on the capacity of the system in Figure 4 is given by the above lemma. D.  ... 
doi:10.1109/tsp.2015.2491885 fatcat:kjpa62rt2bgxtj5guzyii2tiz4

A perspective on multiaccess channels

R. Gallager
1985 IEEE Transactions on Information Theory  
Some perspective on the strengths and weakness of these approaches is given, and the need of a more combined approach focused on coding and decoding techniques is argued.  ...  The information theoretic approach and the collision resolution approach to multiaccess channels are reviewed in terms of the underlying communication problems that both are modeling.  ...  The upper bound on throughput becomes (2e))i and the same kinds of stability issues arise as for the slotted system.  ... 
doi:10.1109/tit.1985.1057022 fatcat:zpc2leq7xbfireev6gfkyc7xsi

The necessity and sufficiency of anytime capacity for stabilization of a linear system over a noisy communication link, Part II: vector systems [article]

Anant Sahai, Sanjoy Mitter
2007 arXiv   pre-print
In part I, we reviewed how Shannon's classical notion of capacity is not sufficient to characterize a noisy communication channel if the channel is intended to be used as part of a feedback loop to stabilize  ...  An example involving a binary erasure channel is used to illustrate how differentiated service is required in any separation-based control architecture.  ...  We thank Nicola Elia for several constructive discussions about the subject matter and thank Sekhar Tatikonda for many discussions over a long period of time which have influenced this work in important  ... 
arXiv:cs/0610146v2 fatcat:gfpnusgi4vedrpx27kabnmct4u

Design of large polyphase filters in the Quadratic Residue Number System

Gian Carlo Cardarilli, Alberto Nannarelli, Yann Oster, Massimo Petricca, Marco Re
2010 2010 Conference Record of the Forty Fourth Asilomar Conference on Signals, Systems and Computers  
Milstein, University of California, San Diego We study the layered transmission of a Gaussian source over multiple relays using superposition coding and cooperative MIMO.  ...  We outline a new method for the completion of stabilized video using a block based approach.  ... 
doi:10.1109/acssc.2010.5757589 fatcat:ccxnu5owr5fyrcjcqukumerueq

Multiple-Description Coding by Dithered Delta–Sigma Quantization

Jan Ostergaard, Ram Zamir
2009 IEEE Transactions on Information Theory  
symmetric two-channel MD rate-distortion function for a memoryless Gaussian source and MSE fidelity criterion, at any side-to-central distortion ratio and any resolution.  ...  The inherent redundancy due to oversampling in Delta-Sigma quantization, and the simple linearadditive noise model resulting from dithered lattice quantization, allow us to construct a symmetric MD coding  ...  ACKNOWLEDGMENT The authors would like to thank Y. Kochman for providing useful comments on a draft version of this paper.  ... 
doi:10.1109/tit.2009.2027528 fatcat:2xcxf2cqyrghnhzal2gasgo63u

Multiple-Description Coding by Dithered Delta-Sigma Quantization

Jan Ostergaard, Ram Zamir
2007 2007 Data Compression Conference (DCC'07)  
whether any of the bounds are tight for K > 2 channels.  ...  symmetric two-channel MD rate-distortion function for a memoryless Gaussian source and MSE fidelity criterion, at any side-to-central distortion ratio and any resolution.  ...  ACKNOWLEDGMENT The authors would like to thank Y. Kochman for providing useful comments on a draft version of this paper.  ... 
doi:10.1109/dcc.2007.57 dblp:conf/dcc/OstergaardZ07 fatcat:jw6pnwd4djav5dtblou5z6kgwi
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