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35
Uncoded transmission is exactly optimal for a simple Gaussian sensor network
 in Proc. 2007 ITA Workshop
, 2007
"... Abstract — One of the simplest sensor network models has one single underlying Gaussian source of interest, observed by many sensors, subject to independent Gaussian observation noise. The sensors communicate over a standard Gaussian multipleaccess channel to a fusion center whose goal is to estimat ..."
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Cited by 73 (3 self)
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Abstract — One of the simplest sensor network models has one single underlying Gaussian source of interest, observed by many sensors, subject to independent Gaussian observation noise. The sensors communicate over a standard Gaussian multipleaccess channel to a fusion center whose goal is to estimate the underlying source with respect to meansquared error. In this note, a theorem of Witsenhausen is shown to imply that an optimal communication strategy is uncoded transmission, i.e., each sensors ’ channel input is merely a scaled version of its noisy observation. I.
Sending a BiVariate Gaussian over a Gaussian MAC
, 901
"... We study the power versus distortion tradeoff for the distributed transmission of a memoryless bivariate Gaussian source over a twotoone averagepower limited Gaussian multipleaccess channel. In this problem, each of two separate transmitters observes a different component of a memoryless biva ..."
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Cited by 30 (3 self)
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We study the power versus distortion tradeoff for the distributed transmission of a memoryless bivariate Gaussian source over a twotoone averagepower limited Gaussian multipleaccess channel. In this problem, each of two separate transmitters observes a different component of a memoryless bivariate Gaussian source. The two transmitters then describe their source component to a common receiver via an averagepower constrained Gaussian multipleaccess channel. From the output of the multipleaccess channel, the receiver wishes to reconstruct each source component with the least possible expected squarederror distortion. Our interest is in characterizing the distortion pairs that are simultaneously achievable on the two source components. We present sufficient conditions and necessary conditions for the achievability of a distortion pair. These conditions are expressed as a function of the channel signaltonoise ratio (SNR) and of the source correlation. In several cases the necessary conditions and sufficient conditions are shown to agree. In particular, we show that if the channel SNR is below a certain threshold, then an uncoded transmission scheme is optimal. We also derive the precise highSNR asymptotics of an optimal scheme. 1
Broadcasting Correlated Gaussians
, 710
"... We consider the transmission of a bivariate Gaussian source over a onetotwo powerlimited Gaussian broadcast channel. Receiver 1 observes the transmitted signal corrupted by Gaussian noise and wishes to estimate the first component of the source. Receiver 2 observes the transmitted signal in larg ..."
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Cited by 18 (1 self)
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We consider the transmission of a bivariate Gaussian source over a onetotwo powerlimited Gaussian broadcast channel. Receiver 1 observes the transmitted signal corrupted by Gaussian noise and wishes to estimate the first component of the source. Receiver 2 observes the transmitted signal in larger Gaussian noise and wishes to estimate the second component. We seek to characterize the pairs of mean squarederror distortions that are simultaneously achievable at the two receivers. Our result is that below a certain SNRthreshold an “uncoded scheme ” that sends a linear combination of the source components is optimal. The SNRtheshold can be expressed as a function of the source correlation and the distortion at Receiver 1. 1 Problem Statement We consider the transmission of a bivariate Gaussian source over a onetotwo powerlimited Gaussian broadcast channel. Receiver 1 observes the transmitted signal corrupted by Gaussian noise and wishes to estimate the first component of the source. Receiver 2 observes the transmitted signal in larger Gaussian noise and wishes to estimate the second component. We seek to characterize the pairs of mean squarederror distortions that are simultaneously achievable at the two receivers. This problem will be now stated formally. Our setup is illustrated in Figure 1. A memoryless source emits at each
A new data processing inequality and its applications in distributed source and channel coding
 IEEE TRANS. INF. THEORY
, 2011
"... In the distributed coding of correlated sources, the problem of characterizing the joint probability distribution of a pair of random variables satisfying an nletter Markov chain arises. The exact solution of this problem is intractable. In this paper, we seek a singleletter necessary condition f ..."
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Cited by 14 (0 self)
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In the distributed coding of correlated sources, the problem of characterizing the joint probability distribution of a pair of random variables satisfying an nletter Markov chain arises. The exact solution of this problem is intractable. In this paper, we seek a singleletter necessary condition for this nletter Markov chain. To this end, we propose a new data processing inequality on a new measure of correlation through a spectral method. Based on this new data processing inequality, we provide a singleletter necessary condition for the required joint probability distribution. We apply our results to two specific examples involving the distributed coding of correlated sources: multipleaccess channel with correlated sources and multiterminal ratedistortion region, and propose new necessary conditions for these two problems.
Decentralized sequential change detection using physical layer fusion
 in Proc. 2007 IEEE Int. Symp. on Inform. Theory
, 2007
"... The problem of decentralized sequential detection with conditionally independent observations is studied. The sensors form a star topology with a central node called fusion center as the hub. The sensors transmit a simple function of their observations in an analog fashion over a wireless Gaussian m ..."
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Cited by 12 (3 self)
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The problem of decentralized sequential detection with conditionally independent observations is studied. The sensors form a star topology with a central node called fusion center as the hub. The sensors transmit a simple function of their observations in an analog fashion over a wireless Gaussian multiple access channel and operate under either a power constraint or an energy constraint. The optimal transmission strategy at each stage is shown to be the one that maximizes a certain AliSilvey distance between the distributions for the hypotheses before and after the change. Simulations demonstrate that the proposed analog technique has lower detection delays when compared with existing schemes. Simulations further demonstrate that the energyconstrained formulation enables better use of the total available energy than the powerconstrained formulation in the change detection problem.
EnergyDistortion Tradeoffs in Gaussian Joint SourceChannel Coding Problems
"... Abstract—The informationtheoretic notion of energy efficiency is studied in the context of various joint sourcechannel coding problems. The minimum transmission energy ( ) required to communicate a source over a noisy channel so that it can be reconstructed within a target distortion is analyzed. ..."
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Cited by 9 (2 self)
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Abstract—The informationtheoretic notion of energy efficiency is studied in the context of various joint sourcechannel coding problems. The minimum transmission energy ( ) required to communicate a source over a noisy channel so that it can be reconstructed within a target distortion is analyzed. Unlike the traditional joint sourcechannel coding formalisms, no restrictions are imposed on the number of channel uses per source sample. For singlesource memoryless pointtopoint channels, ( ) is shown to be equal to the product of the minimum energy per bit min of the channel and the ratedistortion function ( ) of the source, regardless of whether channel output feedback is available at the transmitter. The primary focus is on Gaussian sources and channels affected by additive white Gaussian noise under quadratic distortion criteria, with or without perfect channel output feedback. In particular, for two correlated Gaussian sources communicated over a Gaussian multipleaccess channel, inner and outer bounds on the energydistortion region are obtained, which coincide in special cases. For symmetric channels, the difference between the upper and lower bounds on energy is shown to be at most a constant even when the lower bound goes to infinity as 0. It is also shown that simple uncoded transmission schemes perform better than the separationbased schemes in many different regimes, both with and without feedback. Index Terms—Energy efficiency, feedback, information theory, joint sourcechannel coding, multipleaccess channel (MAC), separate source and channel coding, uncoded transmission. I.
Distributed Joint SourceChannel coding for Functions over a Multiple Access Channel
"... In this paper we provide sufficient conditions for lossy transmission of functions of correlated data over a multiple access channel (MAC). The conditions obtained can be shown as generalized version of Yamamoto’s result [28]. We also obtain efficient joint sourcechannel coding schemes for transmis ..."
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Cited by 9 (8 self)
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In this paper we provide sufficient conditions for lossy transmission of functions of correlated data over a multiple access channel (MAC). The conditions obtained can be shown as generalized version of Yamamoto’s result [28]. We also obtain efficient joint sourcechannel coding schemes for transmission of discrete and continuous alphabet sources to recover the function values.
Source transmission over relay channel with correlated relay side information
 IEEE Inter. Symposium on Inform. Theory (ISIT 2007
, 2007
"... Abstract — We consider transmission of a Gaussian source over a Gaussian relay channel, where the relay terminal has access to correlated side information. We propose several cooperative joint sourcechannel coding strategies that utilize both the broadcast nature of the wireless transmission and/or ..."
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Cited by 6 (3 self)
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Abstract — We consider transmission of a Gaussian source over a Gaussian relay channel, where the relay terminal has access to correlated side information. We propose several cooperative joint sourcechannel coding strategies that utilize both the broadcast nature of the wireless transmission and/or the availability of the correlated side information at the relay, and compare these to distortion lower bounds obtained by the cutset arguments. In general, the best performing scheme depends on the correlation among the source and the relay signals, and the average link qualities. We illustrate that the strategies introduced in this paper perform very close to the lower bound in most cases. I.
Communicating the difference of correlated Gaussian sources over a MAC
 in Data Compression Conference (DCC 2009), (Snowbird, UT
, 2009
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On the optimal performance in asymmetric Gaussian wireless sensor networks with fading
 IEEE Trans. on Signal Processing
, 2010
"... [9] B. Chen and P. K. Willett, “On the optimality of the likelihoodratio test for local sensor decision rules in the presence of nonideal channels,” ..."
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Cited by 4 (0 self)
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[9] B. Chen and P. K. Willett, “On the optimality of the likelihoodratio test for local sensor decision rules in the presence of nonideal channels,”