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

Producción científica: Capítulo del libro/informe/acta de congreso › Contribución a la conferencia › revisión exhaustiva

Resumen

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.

Idioma original	Inglés
Título de la publicación alojada	2022 58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022
Editorial	Institute of Electrical and Electronics Engineers Inc.
ISBN (versión digital)	9798350399981
DOI	https://doi.org/10.1109/Allerton49937.2022.9929383
Estado	Publicada - 2022
Evento	58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022 - Monticello, Estados Unidos Duración: 27 sep. 2022 → 30 sep. 2022

Serie de la publicación

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

Conferencia

Conferencia	58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022
País/Territorio	Estados Unidos
Ciudad	Monticello
Período	27/09/22 → 30/09/22

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10.1109/Allerton49937.2022.9929383

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Palacio-Baus, K., & Devroye, N. (2022). An Error Exponent for the AWGN Channel with Decision Feedback and Lattice Coding. En 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).

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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",

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Palacio-Baus, K & Devroye, N 2022, An Error Exponent for the AWGN Channel with Decision Feedback and Lattice Coding. En 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, Estados Unidos, 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).

Producción científica: Capítulo del libro/informe/acta de congreso › Contribución a la conferencia › revisión exhaustiva

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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.

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KW - variable length coding

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Palacio-Baus K, Devroye N. An Error Exponent for the AWGN Channel with Decision Feedback and Lattice Coding. En 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

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