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Zero-Forcing a Minimum Mean-Square Error Vyrovnání×Kódy s řídkou paritní kontrolou (LDPC)×Multiple-Input Multiple-Output (MIMO)×Teorém Shannonovy kapacity kanálu×
OborTelekomunikaceTelekomunikaceTelekomunikaceTelekomunikace
RodinaProcess / pipelineProcess / pipelineProcess / pipelineProcess / pipeline
Rok vzniku1974196219951948
TvůrceSaleh Mansour and Paul ZervosRobert GallagerTelatar, Foschini, and GansClaude Shannon
Typlinear equalization algorithmlinear error-correcting codespatial multiplexing techniquefundamental theoretical bound
Původní zdrojProakis, J. G. (2001). Digital Communications (4th ed.). McGraw-Hill. link ↗Gallager, R. G. (1962). Low-density parity-check codes. IRE Transactions on Information Theory, 8(1), 21-28. DOI ↗Telatar, I. (1999). Capacity of multi-antenna Gaussian channels. European Transactions on Telecommunications, 10(6), 585-595. DOI ↗Shannon, C. E. (1948). A mathematical theory of communication. Bell System Technical Journal, 27(3), 379-423. DOI ↗
Další názvychannel equalization, interference cancellationsparse codes, belief propagation codesspatial multiplexing, antenna diversitychannel capacity, information theory bound
Příbuzné5555
ShrnutíZero-Forcing (ZF) and Minimum Mean-Square Error (MMSE) equalization are fundamental linear receiver algorithms for combating intersymbol interference in dispersive channels. Developed in the context of data transmission theory, these methods form the basis of modern channel equalization in wireless and wired systems. While ZF aggressively cancels interference, MMSE balances interference suppression with noise enhancement, making it the optimal linear solution under Gaussian noise.LDPC codes, invented by Robert Gallager in 1962 and rediscovered in the 1990s by MacKay, are linear error-correcting codes defined by sparse parity-check matrices. They achieve performance within 0.4 dB of the Shannon limit with iterative belief-propagation decoding and have become the standard for modern wireless (WiFi-6, 5G NR, Digital Video Broadcasting). Unlike turbo codes, LDPC codes have a more elegant graph-theoretic structure and more mature theoretical analysis.MIMO is a technique that uses multiple transmit and receive antennas to significantly increase channel capacity and reliability. Pioneered theoretically by Telatar (1999) and Foschini & Gans (1998), MIMO exploits multipath propagation—typically a liability in wireless—as an asset by creating independent spatial channels. It is now fundamental to all modern wireless systems including LTE, WiFi-6, and 5G, where it provides both capacity gains through spatial multiplexing and robustness through diversity.Shannon's channel capacity theorem, published in 1948, establishes the maximum rate at which information can be reliably transmitted over a noisy channel. Expressed as C = B log2(1 + S/N) for additive white Gaussian noise (AWGN), it is a fundamental bound in information theory and communications engineering. Shannon proved that reliable communication is possible at any rate below capacity, and impossible above it. This theorem underpins the design of all modern communication systems and motivates coding theory, modulation, and signal processing techniques.
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ScholarGatePorovnat metody: ZF/MMSE Equalization · LDPC Codes · MIMO · Shannon Capacity. Získáno 2026-06-18 z https://scholargate.app/cs/compare