Methoden vergleichen

	Polare Codes mit sukzessiver Dekodierung	Satz von der Kanalkapazität nach Shannon
Fachgebiet	Telekommunikation	Telekommunikation
Familie	Process / pipeline	Process / pipeline
Entstehungsjahr	2009	1948
Urheber	Erdal Arikan	Claude Shannon
Typ	recursive error-correcting code	fundamental theoretical bound
Wegweisende Quelle	Arikan, E. (2009). Channel polarization: A method for constructing capacity-achieving codes for symmetric binary-input memoryless channels. IEEE Transactions on Information Theory, 55(7), 3051-3073.	Shannon, C. E. (1948). A mathematical theory of communication. Bell System Technical Journal, 27(3), 379-423.
Aliasnamen	channel polarization, recursive codes	channel capacity, information theory bound
Verwandt	5	5
Zusammenfassung	Polar codes, introduced by Erdal Arikan in 2009, are the first constructive family of codes proven to achieve the Shannon capacity of symmetric binary-input memoryless channels. They use recursive construction and successive cancellation decoding, a simple greedy algorithm with theoretical guarantees. Polar codes were adopted in 5G NR for control channel coding and are studied for future 6G systems. Unlike turbo and LDPC codes (which are empirical), polar codes provide rigorous theoretical foundations.	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.