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- W2912673962 abstract "Consider coded transmission over a binary-input symmetric memoryless channel. The channel decoder uses the noisy observations of the code symbols to reproduce the transmitted code symbols. Thus, it combines the about individual code symbols to obtain an over-all about each code symbol, which may be the reproduced code symbol or its a-posteriori probability. This tutorial addresses the problem of information from an information-theory point of view: the decoder combines the mutual between channel input symbols and channel output symbols (observations) to the mutual between one transmitted symbol and all channel output symbols. The actual value of the combined depends on the statistical structure of the channels. However, it can be upper and lower bounded for the assumed class of channels. This book first introduces the concept of mutual profiles and revisits the well-known Jensen's inequality. Using these tools, the bounds on combining are derived for single parity-check codes and for repetition codes. The application of the bounds is illustrated in four examples: processing characteristics of coding schemes, including extrinsic transfer (EXIT) functions; design of multiple turbo codes; bounds for the decoding threshold of low-density parity-check codes; EXIT function of the accumulator." @default.
- W2912673962 created "2019-02-21" @default.
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- W2912673962 date "2006-01-01" @default.
- W2912673962 modified "2023-09-27" @default.
- W2912673962 title "Information Combining" @default.
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- W2912673962 doi "https://doi.org/10.1561/0100000013" @default.
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