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An interleaver is a critical component for the channel coding performance of turbo codes. Algebraic constructions are important because they admit analytical designs and simple, practical hardware implementation. The spread factor of an…

Information Theory · Computer Science 2016-11-17 Oscar Y. Takeshita

The structure and size of the interleaver used in a turbo code critically affect the distance spectrum and the covariance property of a component decoder's information input and soft output. This paper introduces a new class of…

Information Theory · Computer Science 2009-09-29 Yan-Xiu Zheng , Yu T. Su

The performance of a Turbo code with short block length depends critically on the interleaver design. There are two major criteria in the design of an interleaver: the distance spectrum of the code and the correlation between the…

Combinatorics · Mathematics 2007-07-16 H. R. Sadjadpour , N. J. A. Sloane , M. Salehi , G. Nebe

Conventional turbo codes (CTCs) usually employ a block-oriented interleaving so that each block is separately encoded and decoded. As interleaving and de-interleaving are performed within a block, the message-passing process associated with…

Information Theory · Computer Science 2007-07-13 Yan-Xiu Zheng , Yu T. Su

An interleaver is a critical component for the channel coding performance of turbo codes. Algebraic constructions are of particular interest because they admit analytical designs and simple, practical hardware implementation. Sun and…

Information Theory · Computer Science 2007-07-13 Jonghoon Ryu , Oscar Y. Takeshita

An interleaver is a critical component for the channel coding performance of turbo codes. Algebraic constructions are of particular interest because they admit analytical designs and simple, practical hardware implementation. Also, the…

Information Theory · Computer Science 2015-03-19 Eirik Rosnes

Quadratic permutation polynomials (QPPs) have been widely studied and used as interleavers in turbo codes. However, less attention has been given to cubic permutation polynomials (CPPs). This paper proves a theorem which states sufficient…

Information Theory · Computer Science 2015-03-13 Lucian Trifina , Daniela Tarniceriu

Parameter recovering of channel codes is important in applications such as cognitive radio. The main task for that of a turbo code is to recover the interleaver. The existing optimal algorithm recovers interleaver parameters incrementally…

Information Theory · Computer Science 2016-05-18 Peidong Yu , Hua Peng , Jing Li

In this paper, we study turbo codes from the digital signal processing point of view by defining turbo codes over the complex field. It is known that iterative decoding and interleaving between concatenated parallel codes are two key…

Signal Processing · Electrical Eng. & Systems 2023-08-28 Xiang-Gen Xia

Turbo-Codes (TC) are a family of convolutional codes enabling Forward-Error-Correction (FEC) while approaching the theoretical limit of channel capacity predicted by Shannons theorem. One of the bottlenecks of a Turbo Encoder (TE) lies in…

Information Theory · Computer Science 2023-08-30 Ohad Boxerman , Moshe Bensimon , Shlomo Greenberg , Yehuda Ben-Shimol

For high throughput applications, turbo-like iterative decoders are implemented with parallel architectures. However, to be efficient parallel architectures require to avoid collision accesses i.e. concurrent read/write accesses should not…

Hardware Architecture · Computer Science 2010-02-23 Cyrille Chavet , Philippe Coussy , Eric Martin , Pascal Urard

We present an interleaving scheme that yields quasi-cyclic turbo codes. We prove that randomly chosen members of this family yield with probability almost 1 turbo codes with asymptotically optimum minimum distance, i.e. growing as a…

Information Theory · Computer Science 2007-07-16 Joseph Boutros , Gilles Zémor

To meet the evolving data rate requirements of emerging wireless communication technologies, many parallel architectures have been proposed to implement high throughput turbo decoders. However, concurrent memory reading/writing in parallel…

Information Theory · Computer Science 2014-03-27 Guohui Wang , Hao Shen , Yang Sun , Joseph R. Cavallaro , Aida Vosoughi , Yuanbin Guo

In this paper a discussion of the detailed operation of the interleavers used by the turbo codes defined on the telecommunications standards cdma2000 (3GPP2 C.S0024-B V2.0) and W-CDMA (3GPP TS 25.212 V7.4.0) is presented. Differences in the…

Information Theory · Computer Science 2008-02-07 Fabio G. Guerrero , Maribell Sacanamboy

In this work, we consider the minimum distance properties and convergence thresholds of 3-dimensional turbo codes (3D-TCs), recently introduced by Berrou et al.. Here, we consider binary 3D-TCs while the original work of Berrou et al.…

Information Theory · Computer Science 2015-03-19 Eirik Rosnes , Alexandre Graell i Amat

Two classes of turbo codes over high-order finite fields are introduced. The codes are derived from a particular protograph sub-ensemble of the (dv=2,dc=3) low-density parity-check code ensemble. A first construction is derived as a…

Information Theory · Computer Science 2016-11-17 Gianluigi Liva , Enrico Paolini , Sandro Scalise , Marco Chiani

This paper proposes and proves a theorem which stipulates sufficient conditions the coefficients of two quadratic permutation polynomials (QPP) must satisfy, so that the permutations generated by them are identical. The result is used to…

Information Theory · Computer Science 2012-03-05 Lucian Trifina , Daniela Tărniceriu , Valeriu Munteanu

An efficient decoding algorithm for horizontally u-interleaved LRPC codes is proposed and analyzed. Upper bounds on the decoding failure rate and the computational complexity of the algorithm are derived. It is shown that interleaving…

Information Theory · Computer Science 2019-08-29 Julian Renner , Thomas Jerkovits , Hannes Bartz

Quadratic permutation polynomial interleavers over integer rings have recently received attention in practical turbo coding systems from deep space applications to mobile communications. In this correspondence, a necessary and sufficient…

Information Theory · Computer Science 2011-02-11 Jonghoon Ryu , Oscar Y. Takeshita

Interleaving is a mechanism universally used in wireless access technologies to alleviate the effect of channel correlation. In spite of its wide adoption, to the best of our knowledge, there are no analytical models proposed so far. In…

Information Theory · Computer Science 2018-01-31 Dmitri Moltchanov , Pavel Kustarev , Yevgeni Kucharyavy
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