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शैनन चैनल क्षमता प्रमेय×लो-डेंसिटी पैरिटी-चेक कोड (LDPC)×मल्टीपल-इनपुट मल्टीपल-आउटपुट (MIMO)×
क्षेत्रदूरसंचारदूरसंचारदूरसंचार
परिवारProcess / pipelineProcess / pipelineProcess / pipeline
उद्भव वर्ष194819621995
प्रवर्तकClaude ShannonRobert GallagerTelatar, Foschini, and Gans
प्रकारfundamental theoretical boundlinear error-correcting codespatial multiplexing technique
मौलिक स्रोतShannon, C. E. (1948). A mathematical theory of communication. Bell System Technical Journal, 27(3), 379-423. DOI ↗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 ↗
उपनामchannel capacity, information theory boundsparse codes, belief propagation codesspatial multiplexing, antenna diversity
संबंधित555
सारांशShannon'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.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.
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