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- W4286599963 abstract "This chapter provides basic concepts of information theory, error correction, and detection and estimation theory. These topics are described at the level needed to easier understand various topics, such as quantum information theory, quantum error correction, fault-tolerant quantum error correction, and quantum key distribution, described in later chapters. The chapter starts with definitions of entropy, joint entropy, conditional entropy, relative entropy, mutual information, and channel capacity, followed by the information capacity theorem. We also briefly describe source coding and data compaction concepts. We then discuss the channel capacity of discrete memoryless, continuous, and optical channels. After that, the fundamentals of block codes are introduced, such as linear block code definitions of generator and parity-check matrices, syndrome decoding, distance properties of linear block codes, and some important coding bounds. Cyclic codes are also introduced. Next, Bose–Chaudhuri–Hocquenghem codes are described, followed by Reed–Solomon, concatenated, and product codes. Fundamentals of detection and estimation theory are introduced in the final section." @default.
- W4286599963 created "2022-07-22" @default.
- W4286599963 creator A5075427767 @default.
- W4286599963 date "2022-01-01" @default.
- W4286599963 modified "2023-10-16" @default.
- W4286599963 title "Information theory, error correction, and detection theory" @default.
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- W4286599963 doi "https://doi.org/10.1016/b978-0-12-822942-2.00013-3" @default.
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