Concatenated twist Hadamard codes

Shuling Che; Peng Wang; Xinmei Wang

doi:10.1109/LCOMM.2007.071083

Concatenated twist Hadamard codes

Shuling Che, Peng Wang, Xinmei Wang

Research output: Contribution to journal › Article › peer-review

Abstract

In this letter, a new class of low-rate errorcorrecting codes named twist Hadamard codes (TwHC) are designed based on two single parity check constraints in biorthogonal Hadamard codes. TwHC consists of two branches zigzag Hadamard codes (ZHC) twisted together. Its decoding complexity is very low with the help of fast Hadamard transform. Simulation results show that, compared with concatenated ZHC, parallel concatenated TwHC can significantly improve error floor performance of short codes.

Original language	English
Pages (from-to)	992-994
Number of pages	3
Journal	IEEE Communications Letters
Volume	11
Issue number	12
DOIs	https://doi.org/10.1109/LCOMM.2007.071083
State	Published - Dec 2007
Externally published	Yes

Keywords

Error floor
Hadamard codes
Low-complexity decoding
Low-rate codes
Parallel concatenation

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10.1109/LCOMM.2007.071083

Cite this

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title = "Concatenated twist Hadamard codes",

abstract = "In this letter, a new class of low-rate errorcorrecting codes named twist Hadamard codes (TwHC) are designed based on two single parity check constraints in biorthogonal Hadamard codes. TwHC consists of two branches zigzag Hadamard codes (ZHC) twisted together. Its decoding complexity is very low with the help of fast Hadamard transform. Simulation results show that, compared with concatenated ZHC, parallel concatenated TwHC can significantly improve error floor performance of short codes.",

keywords = "Error floor, Hadamard codes, Low-complexity decoding, Low-rate codes, Parallel concatenation",

author = "Shuling Che and Peng Wang and Xinmei Wang",

note = "Funding Information: Manuscript received July 1, 2007. The associate editor coordinating the review of this letter and approving it for publication was Prof. Alexander Haimovich. This work was supported in part by the National High-Tech 863 Program of China under Grant 2006AA01Z267, and NSFC under Grant 60572149 and U0635003.",

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doi = "10.1109/LCOMM.2007.071083",

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AU - Wang, Xinmei

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N2 - In this letter, a new class of low-rate errorcorrecting codes named twist Hadamard codes (TwHC) are designed based on two single parity check constraints in biorthogonal Hadamard codes. TwHC consists of two branches zigzag Hadamard codes (ZHC) twisted together. Its decoding complexity is very low with the help of fast Hadamard transform. Simulation results show that, compared with concatenated ZHC, parallel concatenated TwHC can significantly improve error floor performance of short codes.

AB - In this letter, a new class of low-rate errorcorrecting codes named twist Hadamard codes (TwHC) are designed based on two single parity check constraints in biorthogonal Hadamard codes. TwHC consists of two branches zigzag Hadamard codes (ZHC) twisted together. Its decoding complexity is very low with the help of fast Hadamard transform. Simulation results show that, compared with concatenated ZHC, parallel concatenated TwHC can significantly improve error floor performance of short codes.

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Concatenated twist Hadamard codes

Abstract

Keywords

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