Communication over the Gaussian channel with rate-limited feedback

Mirghaderi, Reza; Goldsmith, Andrea

doi:10.1109/allerton.2010.5706941

Cited by 2 publications

(3 citation statements)

References 11 publications

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“…. (20) Observe that (20) yields the result of [19,Equation (15)] when M = 2, shown in (11). Hence, the achievable error exponent under the EXP constraint and noisy feedback at least quadruples the one attained under AS in the absence of feedback, provided in (6), not only for M = 2 (first shown in [19]) but for any finite number of messages being sent.…”

Section: Fbmentioning

confidence: 57%

“…For example, the more flexible EXP constraint yields an error exponent at least four times larger than the feedback-free exponent for any M when noisy (active) feedback is used. This may be seen from Theorem 4 by comparing (20) with (6). This differs remarkably from conclusions under the AS constraint, where even with perfect (passive) feedback, the feedback-free error exponent may only be improved up to P 2σ 2 , see (7), which does not depend on the number of messages being sent and is attainable only for M = 2 without the use of feedback.…”

Section: One-way and Two-way Awgn Channels: Error Exponents At Zementioning

confidence: 86%

“…where the subscript FB indicates the presence of feedback and is omitted for the non-feedback case, following the notation of [19]. Literature involving rate-limited noiseless feedback is beyond the scope of this work but important contributions for the one-way AWGN channel can be found in [20], [21]. Contributions for multi-user settings not considered here, such as the broadcast and interference Gaussian channels with feedback can be found in [22]- [26].…”

Section: One-way and Two-way Awgn Channels: Error Exponents At Zementioning

confidence: 99%

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Achievable Error Exponents of One-Way and Two-Way AWGN Channels

Palacio‐Baus

Devroye

2021

IEEE Trans. Inform. Theory

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Achievable error exponents for the one-way with noisy feedback and two-way AWGN channels are derived for the transmission of a finite number of messages M under almost sure (AS) and expected block (EXP) transmit power constraints. In the one-way setting under noisy AWGN feedback, under an AS power constraint, known linear and non-linear passive schemes are modified to incorporate AS constraints in the feedback link as well. In addition, a new active feedback scheme is presented in which the receiver feeds back the most likely pair of codewords, and the transmitter re-transmits which of these two was originally sent. This active feedback scheme outperforms one of the passive feedback schemes for all channel parameters; the linear scheme outperforms the others for low feedback noise variance. Under the EXP constraint, a known achievable error exponent for the transmission of two messages is generalized to any arbitrary but finite number of messages M through the use of simplex codes and erasure decoding. In the two-way AWGN setting, each user has its own message to send in addition to (possibly) aiding in the transmission of feedback for the opposite direction. Twoway error exponent regions are defined and achievable error exponent regions are derived for the first time under both AS and EXP power constraints. For the presented achievability schemes, feedback or interaction leads to error exponent gains in one direction, possibly at the expense of a decrease in the error exponents attained in the other direction. The relationship between M and n supported by our achievable strategies is explored. Index Terms-AWGN channel, two-way AWGN channel, error exponents, noisy feedback, zero-rate, error exponents region.

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Section: Fbmentioning

confidence: 57%

Section: One-way and Two-way Awgn Channels: Error Exponents At Zementioning

confidence: 86%

Section: One-way and Two-way Awgn Channels: Error Exponents At Zementioning

confidence: 99%

See 1 more Smart Citation

Achievable Error Exponents of One-Way and Two-Way AWGN Channels

Palacio‐Baus

Devroye

2021

IEEE Trans. Inform. Theory

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Error Exponent for Gaussian Channels With Partial Sequential Feedback

Agarwal

Guo

Honig

2013

IEEE Trans. Inform. Theory

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This paper studies the error exponent of block coding over an additive white Gaussian noise channel where a fraction ( ) of the channel output symbols are revealed to the transmitter through noiseless feedback. If the code rate exceeds , where is the channel capacity, then the probability of decoding error cannot decay faster than exponentially with block length. However, if the code rate is below , the error probability can decrease faster than exponentially with the block length, as with full feedback ( ). This is achieved by combining a feedback code and a forward error control code, and jointly decoding them at the receiver. This scheme can attain higher reliability than rate splitting in which feedback and forward codes independently encode separate source messages.Index Terms-Error exponent, feedback, random coding exponent, Schalkwijk-Kailath (SK) coding.

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Communication over the Gaussian channel with rate-limited feedback

Cited by 2 publications

References 11 publications

Achievable Error Exponents of One-Way and Two-Way AWGN Channels

Achievable Error Exponents of One-Way and Two-Way AWGN Channels

Error Exponent for Gaussian Channels With Partial Sequential Feedback

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