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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| Veröffentlicht in: | IEEE transactions on communications Jg. 54; H. 7; S. 1207 - 1214 |
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| Sprache: | Englisch |
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New York, NY
IEEE
01.07.2006
Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
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| ISSN: | 0090-6778, 1558-0857 |
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| Abstract | 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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| AbstractList | 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 |
| Author | Litsyn, S. Ashikhmin, A. Sharon, E. |
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| Keywords | 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 |
| Language | English |
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| SubjectTerms | 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 |
| Title | EXIT functions for binary input memoryless symmetric channels |
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