On the Overflow Problem in Finite Precision Turbo Decoding Message Passing

Much attention has been paid recently to the so-called layered decoding of LDPC codes, also known as turbo-decoding message passing (TDMP). The TDMP algorithm for decoding LDPC codes is known to possess some desirable features, such as fast convergence speed, reduced memory requirements and reduced...

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Vydáno v:	IEEE transactions on communications Ročník 60; číslo 5; s. 1253 - 1259
Hlavní autor:	Sulek, W.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	New York, NY IEEE 01.05.2012 Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:	Algorithm design and analysis Algorithms Applied sciences Coding, codes Computer simulation Decoding Exact sciences and technology Hardware Information, signal and communications theory Iterative decoding Low density parity check codes Manganese Mathematical analysis Message passing Messages overflow errors Quantization Representations Signal and communications theory Studies Telecommunications and information theory turbo decoding algorithm Overflow(computer arithmetics) Performance evaluation Dynamic response turbo decoding algorithm Iterative method Turbo code Algorithm Iterative decoding Implementation Convergence speed Low-density parity-check codes overflow errors Message passing Simulation Convergence rate Error correcting code Parity check codes
ISSN:	0090-6778, 1558-0857
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Abstract	Much attention has been paid recently to the so-called layered decoding of LDPC codes, also known as turbo-decoding message passing (TDMP). The TDMP algorithm for decoding LDPC codes is known to possess some desirable features, such as fast convergence speed, reduced memory requirements and reduced implementation complexity in comparison with standard two-phase message passing algorithm. In this paper we analyze an important issue connected with hardware implementation of TDMP algorithm, namely the finite precision representation of messages influence on the decoding performance. Constrained dynamic range of the finite precision representation of messages entails overflow errors. We present an analysis revealing that in the subsequent decoding iterations, the subtraction of non-overflowed intrinsic message from overflowed extrinsic message is a source of errors that have substantial impact on the decoding results. The analysis is confirmed by simulation results showing significant performance loss. However this performance loss can be almost completely eliminated with a basic modifications in the messages computation algorithm. Effectiveness of the presented modifications is confirmed by simulation results obtained with hardware TDMP decoder implementation that has been developed.
AbstractList	Much attention has been paid recently to the so-called layered decoding of LDPC codes, also known as turbo-decoding message passing (TDMP). The TDMP algorithm for decoding LDPC codes is known to possess some desirable features, such as fast convergence speed, reduced memory requirements and reduced implementation complexity in comparison with standard two-phase message passing algorithm. In this paper we analyze an important issue connected with hardware implementation of TDMP algorithm, namely the finite precision representation of messages influence on the decoding performance. Constrained dynamic range of the finite precision representation of messages entails overflow errors. We present an analysis revealing that in the subsequent decoding iterations, the subtraction of non-overflowed intrinsic message from overflowed extrinsic message is a source of errors that have substantial impact on the decoding results. The analysis is confirmed by simulation results showing significant performance loss. However this performance loss can be almost completely eliminated with a basic modifications in the messages computation algorithm. Effectiveness of the presented modifications is confirmed by simulation results obtained with hardware TDMP decoder implementation that has been developed.
Author	Sulek, W.
Author_xml	– sequence: 1 givenname: W. surname: Sulek fullname: Sulek, W. email: wojciech.sulek@polsl.pl organization: Fac. Of Autom. Control, Electron. & Comput. Sci., Silesian Univ. of Technol., Gliwice, Poland
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Keywords	Overflow(computer arithmetics) Performance evaluation Dynamic response turbo decoding algorithm Iterative method Turbo code Algorithm Iterative decoding Implementation Convergence speed Low-density parity-check codes overflow errors Message passing Simulation Convergence rate Error correcting code Parity check codes
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SubjectTerms	Algorithm design and analysis Algorithms Applied sciences Coding, codes Computer simulation Decoding Exact sciences and technology Hardware Information, signal and communications theory Iterative decoding Low density parity check codes Manganese Mathematical analysis Message passing Messages overflow errors Quantization Representations Signal and communications theory Studies Telecommunications and information theory turbo decoding algorithm
Title	On the Overflow Problem in Finite Precision Turbo Decoding Message Passing
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