NDLI: Shortened Turbo Product Codes: Encoding Design and Decoding Algorithm

Content Provider	IEEE Xplore Digital Library
Author	Changlong Xu Ying-Chang Liang Wing Seng Leon
Copyright Year	1967
Abstract	Shortened turbo product codes (TPCs) have already been adopted in many standards. In this paper, we study shortened TPCs from two aspects, namely encoding design and decoding algorithm. To obtain different encoding block sizes, shortened-extended Hamming codes are used as the component codes of product codes in the IEEE 802.16 standard. To design a good structure for the shortened TPC, we compute the undetected error probability of its corresponding component codes. The component codes are shortened-extended Hamming codes, and their optimal generator polynomials are selected in terms of their undetected error probability. For the decoding algorithm, we present an efficient Chase decoding algorithm for shortened TPCs in flat fading channels. In the proposed scheme, the reliability factor used in Pyndiah's scheme is not needed; thus, the decoding complexity is greatly reduced by avoiding the normalization operation of the whole code word at each iteration. Simulation results are also presented to verify the performance of the proposed algorithm.
Sponsorship	IEEE Vehicular Technology Society
Starting Page	3495
Ending Page	3501
Page Count	7
File Size	886051
File Format	PDF
ISSN	00189545
Volume Number	56
Issue Number	6
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-11-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Product codes Encoding Product design Algorithm design and analysis Iterative decoding Error probability Iterative algorithms Code standards Fading Turbo codes shortened codes Block codes Chase decoding algorithm product codes
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Automotive Engineering Computer Networks and Communications Electrical and Electronic Engineering Aerospace Engineering

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