Compara mètodes

	Teorema de la Capacitat del Canal de Shannon	Codis de paritat de baixa densitat (LDPC)
Camp	Telecomunicacions	Telecomunicacions
Família	Process / pipeline	Process / pipeline
Any d'origen	1948	1962
Autor original	Claude Shannon	Robert Gallager
Tipus	fundamental theoretical bound	linear error-correcting code
Font seminal	Shannon, C. E. (1948). A mathematical theory of communication. Bell System Technical Journal, 27(3), 379-423.	Gallager, R. G. (1962). Low-density parity-check codes. IRE Transactions on Information Theory, 8(1), 21-28.
Àlies	channel capacity, information theory bound	sparse codes, belief propagation codes
Relacionats	5	5
Resum	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.	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.