Information Combining: Models, Bounds and Applications

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References, Historical Notes Bounds on Information Combining: SPC Codes, EXIT Functions I. Sutskover, S. Shamai (Shitz), and J. Ziv, "Extremes of Information Combining", in Proc. Allerton Conf. on Communications, Control, and Computing, Monticello, Illinois, USA, Oct. 2003. I. Land, P. A. Hoeher, and J. Huber, "Bounds on Information Combining for Parity-Check Equations", in Proc. Int. Zurich Seminar on Communications (IZS), Zurich, Switzerland, Feb. 2004. Bounds on Information Combining: Accumulator I. Land, J. Sayir, and P. A. Hoeher, "Bounds on Information Combining for the Accumulator of Repeat-Accumulate Code without Gaussian Assumption", in Proc. IEEE Int. Symp. Information Theory (ISIT), Chicago, USA, June/July 2004, p. 443. J. Huber: Information Combining: Models, Bounds and Applications 4/66
References, Historical Notes Ph.D. Theses S. Huettinger, "Analysis and Design of Power-Efficient Coding Schemes", Ph.D. Thesis, University of Erlangen-Nuremberg, Erlangen, June 2003. I. Land, "Reliability Information in Channel Decoding - Practical Aspects and Information Theoretic Bounds", Ph.D. Thesis, University of Kiel, Kiel, August 2004. J. Huber: Information Combining: Models, Bounds and Applications 5/66
Page 1 and 2: Information Combining: Models, Boun
Page 3 and 4: Outline [1] Basic Operations [2] BI
Page 13 and 14: References, Historical Notes Defini
Page 15: References, Historical Notes Bounds
Page 19 and 20: 1. Motivation, Basic Examples, Basi
Page 21 and 22: 1. Motivation, Basic Examples, Basi
Page 23 and 24: 1. Basic Operations in Decoding [A]
Page 29 and 30: 1. Basic Combining Operations [A] C
Page 31 and 32: 1. Basic Combining Operations [A] C
Page 33 and 34: 1. Basic Combining Operations [B] R
Page 35 and 36: 1. Basic Combining Operations [B] R
Page 37 and 38: 1. Basic Combining Operations Abeli
Page 43 and 44: 1. Basic Combining Operations Bijec
Page 49 and 50: 1. Basic Combining Operations Combi
Page 51 and 52: 1. Generalization X BISMC Y J. Hube
Page 53 and 54: 1. Generalization X BISMC I Y No ha
Page 55 and 56: 1. Generalization X0 X1 XN−1 I0 =
Page 57 and 58: 1. Generalization X0 X1 XN−1 I0 =
Page 59 and 60: 1. Example All channels are Binary
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1. Example X ∈{0, 1} All channels
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2. Binary Input Symmetric Memoryles
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2. Decomposition of a BISMC Theorem
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2. Decomposition of a BISMC Binary
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2. Decomposition of a BISMC BIAWGN
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2. Decomposition of a BISMC MIP Cur
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2. Example of Application of MIP Bo
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2. Example of Application of MIP Bo
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2. Example of Application of MIP BS
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2. Remark on Jensen’s Inequality
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2. Example of Application of MIP In
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3. Bounds on Information Combining
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Flashback - Remember! Interpretatio
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Flashback - Remember! Interpretatio
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4. Examples, Applications 4.1 Infor
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4. IPC Information Processing Chara
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4. IPC (N,N − 1, 2) Single Parity
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4. IPC (N,N − 1, 2) Single Parity
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4. IPC Rate-1/2 Repeat Accumulate (
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4. IPC Rate-1/2 Original Turbo Code
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4. IPC Estimation of Error Probabil
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4. Examples, Applications 4.2 Param
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4. Examples, Applications 4.2 Param
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4. Examples, Applications 4.3 Desig
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4. Design of Multiple Turbo Codes A
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4. Design of Multiple Turbo Codes P
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4. Examples, Applications 4.4 Bound
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4. Bounds on EXIT Functions for reg
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4. Examples, Applications U ∈{0,
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4. Bounds on EXIT Functions for dif
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4. Examples, Applications 4.6 EXIT
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5. Conclusions Any binary input sym
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Acknowledgement Dipl. Ing. Hehn, Di
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