A noisy feedback encoding scheme for the Gaussian channel

Chance, Zachary; Love, David J.

doi:10.1109/icassp.2010.5495960

Cited by 11 publications

(7 citation statements)

References 12 publications

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“…For example, [17] has proposed a linear coding scheme for AWGN channel with bounded feedback noise and [18] has proposed a concatenated coding scheme for AWGN channel with noisy feedback. It is easy to check that both of these closed-loop encoders are typical and therefore both coding schemes cannot achieve the capacity unless, as discussed in [17], [18], the feedback additive noise is shrinking to zero (i.e. non-typical noisy feedback).…”

Section: Remarkmentioning

confidence: 99%

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The Information Flow and Capacity of Channels with Noisy Feedback

Elia²

2011

Preprint

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In this paper, we consider some long-standing problems in communication systems with access to noisy feedback.We introduce a new notion, the residual directed information, to capture the effective information flow (i.e. mutual information between the message and the channel outputs) in the forward channel. In light of this new concept, we investigate discrete memoryless channels (DMC) with noisy feedback and prove that the noisy feedback capacity is not achievable by using any typical closed-loop encoder (non-trivially taking feedback information to produce channel inputs). We then show that the residual directed information can be used to characterize the capacity of channels with noisy feedback. Finally, we provide computable bounds on the noisy feedback capacity, which are characterized by the causal conditional directed information.

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Section: Remarkmentioning

confidence: 99%

“…The second category focuses on the derivation of coding schemes mostly for additive Gaussian channels with noisy feedback based on the well-known Schalkwijk-Kailath scheme [3]. We refer interested readers to [15], [16], [17], [18], [19] for details.…”

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confidence: 99%

The Information Flow and Capacity of Channels with Noisy Feedback

Elia²

2011

Preprint

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“…For example, directed information can be used to characterize capacity of certain communication channels with feedback while it fails for the case of noisy feedback [11]. Therefore, very few work on noisy feedback systems can be found in the literature [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22]. Motivated by this aforementioned failure, we wish to understand why the directed information does not apply.…”

Section: Introductionmentioning

confidence: 99%

An Information Identity for State-dependent Channels with Feedback

Limal

2014

Preprint

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“…So far, only few papers have addressed this problem or its variations. [4] and [5] take Cover-Pombra scheme for the noisy feedback case (colored Gaussian noise) and derive the upper and lower bounds on its maximal achievable rate.…”

Section: Introductionmentioning

confidence: 99%

Upper bound on the capacity of Gaussian channels with noisy feedback

Elia

2011

2011 49th Annual Allerton Conference on Communication, Control, and Computing (Allerton)

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We consider an additive Gaussian channel with additive Gaussian noise feedback. We first derive an upper bound on the n-block capacity (defined by Cover [1]). It is shown that this upper bound can be obtained by solving a convex optimization problem. With stationarity assumptions on Gaussian noise processes, we characterize the limit of the nblock upper bound and prove that this limit is the upper bound of the noisy feedback (shannon) capacity.

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A noisy feedback encoding scheme for the Gaussian channel

Cited by 11 publications

References 12 publications

The Information Flow and Capacity of Channels with Noisy Feedback

The Information Flow and Capacity of Channels with Noisy Feedback

An Information Identity for State-dependent Channels with Feedback

Upper bound on the capacity of Gaussian channels with noisy feedback

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