Causal Coding and Feedback in Gaussian Sensor Networks

Gastpar, Michael

doi:10.1007/0-8176-4409-1_7

Cited by 8 publications

(3 citation statements)

References 17 publications

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“…Unfortunately, SK and related schemes generally appear to depend critically on the absence of noise in the feedback link and are not robust to non-ideal feedback, e.g., AWGN in the feedback path [2], [10]. For feedback noise of infinite support, and specifically AWGN, Schalkwijk and Kailath [2] discuss two possible approaches for dealing with the feedback noise.…”

Section: Introductionmentioning

confidence: 99%

Noisy feedback schemes and rate-error tradeoffs from stochastic approximation

Kumar

Laneman

Gupta

2009

2009 IEEE International Symposium on Information Theory

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Abstract-It is known that noiseless feedback does not increase the capacity of memoryless channels. However, such feedback can considerably increase the reliability or reduce the coding complexity of schemes that approach capacity. One might hope for the same to be (at least partially) true of noisy feedback. This paper develops a new class of coding schemes for additive white noise channels with feedback corrupted by additive white noise, focusing much of the results and discussion on the Gaussian case. These schemes are variants of the well-known Schalkwijk-Kailath (SK) coding scheme and are based upon simple techniques from stochastic approximation. Specifically, instead of the classic Robbins-Munro approach to stochastic approximation originally used in the SK scheme, we employ more recent techniques from Kushner. The resulting schemes enable a tradeoff between transmission rate and error performance in the presence of noisy feedback even as the number of iterations becomes large.

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Section: Introductionmentioning

confidence: 99%

Noisy feedback schemes and rate-error tradeoffs from stochastic approximation

Kumar

Laneman

Gupta

2009

2009 IEEE International Symposium on Information Theory

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“…In the Gaussian case, "generalized" feedback includes as special cases noisy feedback, noisy partial feedback, and perfect partial feedback. We present Carleial's region for the Gaussian MAC with noisy feedback in Appendix A, where we also prove that if the feedback noise variances σ 2 1 and σ 2 2 exceed a certain threshold depending on the channel parameters P 1 , P 2 , and N, then Carleial's region collapses to the no-feedback capacity region in (4)- (6) "new" MAC…”

Section: Remarkmentioning

confidence: 99%

“…Previous achievable regions for the AWGN MAC with imperfect feedback were given by Carleial [2], by Gastpar [6], and by Willems et al [18] 1 . Carleial and Willems et al generalized the Cover-Leung coding scheme [4].…”

Section: Introductionmentioning

confidence: 99%

On the Gaussian MAC with Imperfect Feedback

Lapidoth

Wigger

2006

2006 IEEE 24th Convention of Electrical &Amp; Electronics Engineers in Israel

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New achievable rate regions are derived for the two-user additive white Gaussian multiple-access channel with noisy feedback. The regions exhibit the following two properties. Irrespective of the (finite) Gaussian feedback-noise variances, our regions include rate points which lie strictly outside the no-feedback capacity region, and when the feedback-noise variances tend to 0 our regions converge to the perfect feedback capacity region.The new achievable regions also apply to the partial-feedback setting where one of the transmitters has a noisy feedback link and the other transmitter has no feedback at all. Again, irrespective of the (finite) noise variance on the only feedback link, the regions include rate points which lie strictly outside the no-feedback capacity region. Moreover, in the case of perfect partial feedback, i.e., where the only feedback link is noise-free, for certain channel parameters the new regions even include rate points which lie strictly outside the Cover-Leung region. This answers in the negative the question posed by van der Meulen as to whether the Cover-Leung region equals the capacity region of the Gaussian multiple-access channel with perfect partial feedback.Finally, we propose new achievable regions also for a setting where the receiver is cognizant of the realizations of the noise sequences on the feedback links.

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