EXIT functions for binary input memoryless symmetric channels

Use of extrinsic information transfer (EXIT) functions, characterizing the amplification of mutual information between the input and output of the maximum a posteriori (MAP) decoder, significantly facilitates analysis of iterative coding schemes. Previously, EXIT functions derived for binary erasure...

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Bibliographic Details
Published in:IEEE transactions on communications Vol. 54; no. 7; pp. 1207 - 1214
Main Authors: Sharon, E., Ashikhmin, A., Litsyn, S.
Format: Journal Article
Language:English
Published: New York, NY IEEE 01.07.2006
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Algorithm design and analysis
Amplification
Applied sciences
Approximation
Block codes
Channels
Coding
Coding, codes
Convergence
Decoders
Exact sciences and technology
Extrinsic information transfer (EXIT) functions
Information analysis
Information, signal and communications theory
Iterative algorithms
Iterative decoding
Joints
Mathematical analysis
maximum a posteriori (MAP) decoding
Mutual information
Parity check codes
Signal and communications theory
Systems, networks and services of telecommunications
Telecommunications
Telecommunications and information theory
Transmission and modulation (techniques and equipments)
Turbo codes
Visualization
Block code
Binary channel
Memoryless channel
Coding
maximum a posteriori (MAP) decoding
A posteriori estimation
Extrinsic information transfer (EXIT) functions
Iterative method
Transfer function
Information transmission
Iterative decoding
Mutual information
ISSN:0090-6778, 1558-0857
Online Access:Get full text
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Description
Summary:Use of extrinsic information transfer (EXIT) functions, characterizing the amplification of mutual information between the input and output of the maximum a posteriori (MAP) decoder, significantly facilitates analysis of iterative coding schemes. Previously, EXIT functions derived for binary erasure channels (BECs) were used as an approximation for other channels. Here, we improve on this approach by introducing more accurate methods to construct EXIT functions for binary-input memoryless symmetric (BMS) channels. By defining an alternative pseudo-MAP decoder coinciding with the MAP decoder over BEC, we provide an expression for the EXIT functions of block codes over BEC. Furthermore, we draw a connection between the EXIT function over BEC and the EXIT function over the BMS channel under certain conditions. This is used for deriving accurate or approximate expressions of EXIT functions over BMS channels in certain scenarios
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ISSN:0090-6778
1558-0857
DOI:10.1109/TCOMM.2006.877956