Jeremie Ezri

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A decode-and-forward LDPC-based coding and decoding scheme is proposed and applied to the BAWGN single-relay channel. The source broadcasts information to both the relay and the destination. The relay is able to simultaneously receive and transmit. Both the relay and the destination apply successive iterative decoding using belief propagation. In the(More)
We want to extend the approximation of the error probability via a scaling approach from the BEC to general binary-input memoryless output-symmetric (BMS) channels. In particular, we consider such scaling laws for regular LDPC ensembles and message-passing (MP) decoders with a finite number of messages. We first show how to re-derive the scaling law for(More)
The dasiathresholdpsila of a code ensemble can be defined as the noise level at which the block error probability curve crosses 1/2. For ensembles of low-density parity check codes used over the binary erasure channel, the behavior of the threshold for large blocklengths is known in detail. It is characterized by an asymptotic threshold value, and a(More)
Scaling laws are a powerful way to analyze the performance of moderately sized iteratively decoded sparse graph codes. Our aim is to provide an easily usable finite-length optimization tool that is applicable to the wide variety of channels, blocklengths, error probability requirements, and decoders that one encounters for practical systems. The tool is(More)
In late 2007, Jérémie Ezri started to write down the first notes of what he hoped would become his thesis. Soon thereafter, in mid January 2008, he was diagnosed with cancer. Over the following two years, through the ups and downs of surgery and chemo therapy, he continued to document his research. Jérémie died on April 20, 2010. This booklet contains his(More)
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