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The addition of a feedback link to a discrete memoryless channel does not increase its capacity, but it does bring with it other benefits. One of these benefits is an increase to the best achievable error exponent. In the first part of this thesis we revis ...
In the first part of this thesis we are interested in the asymptotic performance analysis of Non-Binary Low-Density Parity-Check (NBLDPC) codes over the Binary Erasure Channel (BEC) decoded via the suboptimal Belief Propagation (BP) decoder as well as the ...
Designs for transmit alphabet constrained space-time codes naturally lead to questions about the design of rank distance codes. Recently, diversity embedded multi-level space-time codes for flat fading channels have been designed from sets of binary matric ...
Recently the decay of correlations between bits of low density generator matrix (LDGM) codes have been investigated by using high temperature expansions from statistical physics \cite{KuMa07}. In this work we apply these ideas to a special class of low den ...
We consider communication over a binary input memoryless output symmetric channel with low density generator matrix codes and optimal maximum a posteriori decoding. It is known that the problem of computing the average conditional entropy, over such code e ...
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In this paper, we study an E0-like combiner with memory as the keystream generator. First, we formulate a systematic and simple method to compute correlations of the FSM output sequences (up to certain bits). An upper bound of the correlations is given, wh ...
We consider communication over binary-input memoryless output-symmetric channels using low-density parity-check codes under MP decoding. The asymptotic (in the length) performance of such a combination for a fixed number of iterations is given by density e ...
We here advocate the case for network coding as a guiding paradigm for the operation of networks that vary in a small time frame, due to node mobility, channel variations, and varying traffic conditions. Three ideas that appeared succesively in time brough ...
Peer-to-Peer (P2P) networks are used worldwide for many applications such as file sharing or news servers. There are many different implementations available, each with its pros and cons. In this paper, we propose a way to enable approximate queries in a P ...
We consider communication over a binary input memoryless output symmetric channel with low density generator matrix codes and optimal maximum a posteriori decoding. It is known that the problem of computing the average conditional entropy, over such code e ...