An Error Exponent for the AWGN Channel with Decision Feedback and Lattice Coding

Kenneth Palacio-Baus; Natasha Devroye

doi:10.1109/Allerton49937.2022.9929383

An Error Exponent for the AWGN Channel with Decision Feedback and Lattice Coding

Kenneth Palacio-Baus
, Natasha Devroye

University of Illinois at Chicago

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We present achievable error exponents for the AWGN channel with one bit noiseless feedback and an almost-sure power constraint. As in Forney's decision feedback approach for discrete memoryless channels, the backward channel is used to request retransmissions from the transmitter whenever an erasure is declared at the decoder. Our erasure/re-transmission-request scheme introduces a novel erasure decoding rule built on top of a lattice-based code inspired by De Buda. Numerically, our scheme is seen to outperform the sphere packing bound (valid for block codes) at lower rates and higher SNRs.

Original language	English
Title of host publication	2022 58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9798350399981
DOIs	https://doi.org/10.1109/Allerton49937.2022.9929383
State	Published - 2022
Event	58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022 - Monticello, United States Duration: 27 Sep 2022 → 30 Sep 2022

Publication series

Name	2022 58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022

Conference

Conference	58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022
Country/Territory	United States
City	Monticello
Period	27/09/22 → 30/09/22

Keywords

AWGN
Error exponents
Forney
lattice
variable length coding

Access to Document

10.1109/Allerton49937.2022.9929383

Cite this

Palacio-Baus, K., & Devroye, N. (2022). An Error Exponent for the AWGN Channel with Decision Feedback and Lattice Coding. In 2022 58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022 (2022 58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/Allerton49937.2022.9929383

Palacio-Baus, Kenneth ; Devroye, Natasha. / An Error Exponent for the AWGN Channel with Decision Feedback and Lattice Coding. 2022 58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022. Institute of Electrical and Electronics Engineers Inc., 2022. (2022 58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022).

@inproceedings{72ac8b99ff2f41548033192648f2486a,

title = "An Error Exponent for the AWGN Channel with Decision Feedback and Lattice Coding",

abstract = "We present achievable error exponents for the AWGN channel with one bit noiseless feedback and an almost-sure power constraint. As in Forney's decision feedback approach for discrete memoryless channels, the backward channel is used to request retransmissions from the transmitter whenever an erasure is declared at the decoder. Our erasure/re-transmission-request scheme introduces a novel erasure decoding rule built on top of a lattice-based code inspired by De Buda. Numerically, our scheme is seen to outperform the sphere packing bound (valid for block codes) at lower rates and higher SNRs.",

keywords = "AWGN, Error exponents, Forney, lattice, variable length coding",

author = "Kenneth Palacio-Baus and Natasha Devroye",

note = "Publisher Copyright: {\textcopyright} 2022 IEEE.; 58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022 ; Conference date: 27-09-2022 Through 30-09-2022",

year = "2022",

doi = "10.1109/Allerton49937.2022.9929383",

language = "Ingl{\'e}s",

series = "2022 58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

booktitle = "2022 58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022",

}

Palacio-Baus, K & Devroye, N 2022, An Error Exponent for the AWGN Channel with Decision Feedback and Lattice Coding. in 2022 58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022. 2022 58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022, Institute of Electrical and Electronics Engineers Inc., 58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022, Monticello, United States, 27/09/22. https://doi.org/10.1109/Allerton49937.2022.9929383

An Error Exponent for the AWGN Channel with Decision Feedback and Lattice Coding. / Palacio-Baus, Kenneth; Devroye, Natasha.
2022 58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022. Institute of Electrical and Electronics Engineers Inc., 2022. (2022 58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - An Error Exponent for the AWGN Channel with Decision Feedback and Lattice Coding

AU - Palacio-Baus, Kenneth

AU - Devroye, Natasha

PY - 2022

Y1 - 2022

N2 - We present achievable error exponents for the AWGN channel with one bit noiseless feedback and an almost-sure power constraint. As in Forney's decision feedback approach for discrete memoryless channels, the backward channel is used to request retransmissions from the transmitter whenever an erasure is declared at the decoder. Our erasure/re-transmission-request scheme introduces a novel erasure decoding rule built on top of a lattice-based code inspired by De Buda. Numerically, our scheme is seen to outperform the sphere packing bound (valid for block codes) at lower rates and higher SNRs.

AB - We present achievable error exponents for the AWGN channel with one bit noiseless feedback and an almost-sure power constraint. As in Forney's decision feedback approach for discrete memoryless channels, the backward channel is used to request retransmissions from the transmitter whenever an erasure is declared at the decoder. Our erasure/re-transmission-request scheme introduces a novel erasure decoding rule built on top of a lattice-based code inspired by De Buda. Numerically, our scheme is seen to outperform the sphere packing bound (valid for block codes) at lower rates and higher SNRs.

KW - AWGN

KW - Error exponents

KW - Forney

KW - lattice

KW - variable length coding

UR - https://www.scopus.com/pages/publications/85142648389

U2 - 10.1109/Allerton49937.2022.9929383

DO - 10.1109/Allerton49937.2022.9929383

M3 - Contribución a la conferencia

AN - SCOPUS:85142648389

T3 - 2022 58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022

BT - 2022 58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022

Y2 - 27 September 2022 through 30 September 2022

ER -

Palacio-Baus K, Devroye N. An Error Exponent for the AWGN Channel with Decision Feedback and Lattice Coding. In 2022 58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022. Institute of Electrical and Electronics Engineers Inc. 2022. (2022 58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022). doi: 10.1109/Allerton49937.2022.9929383

An Error Exponent for the AWGN Channel with Decision Feedback and Lattice Coding

Abstract

Publication series

Conference

Keywords

Access to Document

Other files and links

Fingerprint

Cite this