Models for noncoherent error control in random linear network coding (RLNC) and store and forward (SAF) have been recently proposed. In this paper, we model different types of random network communications as the transmission of flats of matroids. This novel framework encompasses RLNC and SAF and allows us to introduce a novel protocol, referred to as… (More)
— We introduce a wide class of LDPC codes, large enough to include LDPC codes over finite fields, rings or groups as well as some non-linear codes. A belief propagation decoding procedure with the same complexity as for the decoding of LDPC codes over finite fields is also presented. Moreover, an encoding procedure is developed.
—In this paper a new, efficient class of blind equalization algorithms is proposed for use in high order, two-dimensional digital communication systems. We have called this family: the Constant Norm Algorithms (CNA). This family is derived in the context of Bussgang techniques. Therefore, the resulting algorithms are very simple. We show that some… (More)
In the context of blind equalization, a new class of Bussgang techniques called Constant Norm Algorithm (CNA), which contains the well-known CMA, is developed. From this class, two new cost functions designed for QAM modulation are derived. The first, named CQA for Constant sQuare Algorithm, is better adapted for QAM than the CMA. It results in a lower… (More)
In this paper, we analyze the behavior of the Weighted Decision Feedback Equalizer (WDFE), mainly from filtering properties aspects. This equalizer offers the advantage of limiting the error propagation phenomenon. It is well known that this problem is the main drawback of Decision Feedback Equalizers (DFEs), and due to this drawback DFEs are not used very… (More)
A markovian model of the error probability density for decision feedback equalizer is proposed and its application to the error propagation probability computation is derived. The model is a generalization of the Lütkemeyer and Noll model proposed in . It is obtained by the analysis of the gaussian mixture distribution of the errors which follows a… (More)
— In this paper, we address the problem of providing unequal error protection (UEP) with LDPC codes built on finite sets of order strictly greater than 2 (nonbinary codes). The main interest of providing UEP with nonbinary LDPC codes is that future standards are likely to prefer nonbinary coding schemes because of their better robustness to the codeword… (More)