منابع مشابه
The statistical mechanics of turbo codes
The “turbo codes”, recently proposed by Berrou et. al. [1] are written as a disordered spin Hamiltonian. It is shown that there is a threshold Θ such that for signal to noise ratios v2/w2 > Θ the error probability per bit vanishes in the thermodynamic limit, i.e. the limit of infinitly long sequences. The value of the threshold has been computed for two particular turbo codes. It is found that ...
متن کاملOn the Statistical Theory of Turbo-Codes
A statistical theory of turbo-codes, treated as a special family of convolutional codes with a low-density parity-check matrix, is developed. The basic ideas are: the representation of the transposed parity-check matrix of turbo-codes as a product of a sparse (multiple) scrambler matrix and the transposed parity-check matrix of the basic code, the introduction of a special statistical ensemble ...
متن کاملTurbo Codes
The paper starts with a short overview of channel coding and the reader is reminded the concept of convolutional encoding. Bottlenecks of the traditional approach are described and the motivation behind turbo codes is explained. After examining the turbo codes design more in detail, reasons behind their efficiency are brought out. Finally, a real-world example of the turbo code used in the thir...
متن کاملFundamentals of Turbo Codes
Concatenated coding schemes were first proposed by Forney [1] as a method for achieving large coding gains by combining two or more relatively simple buildingblock or component codes (sometimes called constituent codes). The resulting codes had the error-correction capability of much longer codes, and they were endowed with a structure that permitted relatively easy to moderately complex decodi...
متن کاملTurbo codes : the phase transition
Turbo codes are a very efficient method for communicating reliably through a noisy channel. There is no theoretical understanding of their effectiveness. In Ref. [1] they are mapped onto a class of disordered spin models. The analytical calculations concerning these models are reported here. We prove the existence of a no-error phase and compute its local stability threshold. As a byproduct, we...
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ژورنال
عنوان ژورنال: The European Physical Journal B
سال: 2000
ISSN: 1434-6028
DOI: 10.1007/pl00011086