Comparer des méthodes

	Codes à contrôle de parité de faible densité (LDPC)	Théorème de la capacité de canal de Shannon
Domaine	Télécommunications	Télécommunications
Famille	Process / pipeline	Process / pipeline
Année d'origine	1962	1948
Auteur d'origine	Robert Gallager	Claude Shannon
Type	linear error-correcting code	fundamental theoretical bound
Source fondatrice	Gallager, R. G. (1962). Low-density parity-check codes. IRE Transactions on Information Theory, 8(1), 21-28.	Shannon, C. E. (1948). A mathematical theory of communication. Bell System Technical Journal, 27(3), 379-423.
Alias	sparse codes, belief propagation codes	channel capacity, information theory bound
Apparentées	5	5
Résumé	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.	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.