Alban Goupil

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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)
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)
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 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)
In this paper, we introduce a novel approach to correct packet errors and packet losses in store and forward by using binary error-correcting codes. Using a framework similar to what has been proposed for error control in random linear network coding, we investigate error control under two scenarios. First, we show that the Hamming metric is suitable for(More)
Efficient and fully blind Decision Feedback Equalizer (DFE) remains an open issue, mainly because of the potential errors in the decision loop. Based on the Weighted Decision Feedback Equalizer (WDFE), our previous work aiming at decreasing the error propagation phenomena, we propose a new blind DFE called Blind Weighted Decision Feedback Equalizer. The(More)
Advancements in channel coding theory over the past decades have been accomplished considering simple channel such as Additive White Gaussian Noise channels. Much less is known about the consequences when the standard Gaussian assumption is not fulfilled in realistic environments and, more importantly, the appropriate countermeasures. This paper studies and(More)