Message-passing decoding beyond the girth with local-optimality guarantees

Nissim Halabi; Guy Even

doi:10.1109/EEEI.2012.6376924

Message-passing decoding beyond the girth with local-optimality guarantees

Nissim Halabi^*, Guy Even

^*Corresponding author for this work

School of Electrical Engineering

Tel Aviv University

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

Abstract

We present a new message-passing iterative decoding algorithm, called normalized weighted min-sum (NWMS). NWMS-decoding is a BP-type algorithm that applies to any irregular Tanner code with single parity-check local codes (e. g. , LDPC codes and HDPC codes). The decoding guarantee of NWMS applies whenever there exists a locally optimal codeword. We prove that if a locally-optimal codeword with respect to height parameter h exists, then NWMS-decoding finds it in h iterations. This decoding guarantee holds for every finite value of h and is not limited by the girth. Because local optimality of a codeword implies that it is the unique ML-codeword, the decoding guarantee also has an ML-certificate.

Original language	English
Title of host publication	2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012
DOIs	https://doi.org/10.1109/EEEI.2012.6376924
State	Published - 2012
Event	2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012 - Eilat, Israel Duration: 14 Nov 2012 → 17 Nov 2012

Publication series

Name	2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012

Conference

Conference	2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012
Country/Territory	Israel
City	Eilat
Period	14/11/12 → 17/11/12

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10.1109/EEEI.2012.6376924

Cite this

@inproceedings{90042720b19d4350a3450fbe32acdf6d,

title = "Message-passing decoding beyond the girth with local-optimality guarantees",

abstract = "We present a new message-passing iterative decoding algorithm, called normalized weighted min-sum (NWMS). NWMS-decoding is a BP-type algorithm that applies to any irregular Tanner code with single parity-check local codes (e. g. , LDPC codes and HDPC codes). The decoding guarantee of NWMS applies whenever there exists a locally optimal codeword. We prove that if a locally-optimal codeword with respect to height parameter h exists, then NWMS-decoding finds it in h iterations. This decoding guarantee holds for every finite value of h and is not limited by the girth. Because local optimality of a codeword implies that it is the unique ML-codeword, the decoding guarantee also has an ML-certificate.",

author = "Nissim Halabi and Guy Even",

year = "2012",

doi = "10.1109/EEEI.2012.6376924",

language = "אנגלית",

isbn = "9781467346801",

series = "2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012",

booktitle = "2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012",

note = "2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012 ; Conference date: 14-11-2012 Through 17-11-2012",

}

Halabi, N & Even, G 2012, Message-passing decoding beyond the girth with local-optimality guarantees. in 2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012., 6376924, 2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012, 2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012, Eilat, Israel, 14/11/12. https://doi.org/10.1109/EEEI.2012.6376924

Message-passing decoding beyond the girth with local-optimality guarantees. / Halabi, Nissim; Even, Guy.
2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012. 2012. 6376924 (2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012).

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

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AB - We present a new message-passing iterative decoding algorithm, called normalized weighted min-sum (NWMS). NWMS-decoding is a BP-type algorithm that applies to any irregular Tanner code with single parity-check local codes (e. g. , LDPC codes and HDPC codes). The decoding guarantee of NWMS applies whenever there exists a locally optimal codeword. We prove that if a locally-optimal codeword with respect to height parameter h exists, then NWMS-decoding finds it in h iterations. This decoding guarantee holds for every finite value of h and is not limited by the girth. Because local optimality of a codeword implies that it is the unique ML-codeword, the decoding guarantee also has an ML-certificate.

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Message-passing decoding beyond the girth with local-optimality guarantees

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