Linganisha mbinu

	Nadharia ya Uwezo wa Idhaa ya Shannon	Kuweka Nambari kwa Njia ya Turbo na Uondoaji wa Nambari kwa Njia ya Iterative
Nyanja	Mawasiliano ya Simu	Mawasiliano ya Simu
Familia	Process / pipeline	Process / pipeline
Mwaka wa asili	1948	1993
Mwanzilishi	Claude Shannon	Claude Berrou, Alain Glavieux, and Punya Thitimajshima
Aina	fundamental theoretical bound	iterative error-correcting code
Chanzo asilia	Shannon, C. E. (1948). A mathematical theory of communication. Bell System Technical Journal, 27(3), 379-423.	Berrou, C., Glavieux, A., & Thitimajshima, P. (1993). Near Shannon limit error-correcting coding and decoding: Turbo-codes. In Proceedings of the IEEE International Conference on Communications (ICC), 1064-1070.
Majina mbadala	channel capacity, information theory bound	iterative decoding, concatenated codes
Zinazohusiana	5	5
Muhtasari	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.	Turbo codes, introduced by Berrou, Glavieux, and Thitimajshima in 1993, are a landmark in channel coding history. They achieve performance within 0.5 dB of the Shannon limit—the theoretical boundary for reliable communication—a feat previously thought impossible with practical complexity. Turbo codes use concatenated convolutional codes with an interleaver and iterative decoding via belief propagation. They were adopted in 3G (UMTS) and remain important in 4G/5G systems alongside LDPC codes.