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LT-codes are a new class of codes introduced by Luby for the purpose of scalable and fault-tolerant distribution of data over computer networks. In this paper, we introduce Raptor codes, an extension of LT-codes with linear time encoding and decoding. We w ...
The goal of this project is to present the main list-decoding algorithms for Reed-Solomon codes, implement them and study more specifically some of their properties and possible improvements. ...
We describe the VLSI implementation of MIMO detectors that exhibit close-to optimum error-rate performance, but still achieve high throughput at low silicon area. In particular algorithms and VLSI architectures for sphere decoding (SD) and K-best detection ...
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We consider a source that transmits information to a receiver by routing it over a communication network represented by a graph and examine rate benefits that finite complexity processing at the intermediate nodes may offer. We show that there exist config ...
Polar graphs are a natural extension of some classes of graphs like bipartite graphs, split graphs and complements of bipartite graphs. A graph is (s,k)-polar if there exists a partition A,B of its vertex set such that A induces a complete s-partite graph ...
This dissertation presents a systematic exposition on finite-block-length coding theory and practice. We begin with the task of identifying the maximum achievable rates over noisy, finite-block-length constrained channels, referred to as (ε, n)-capacity Cε ...
We analyze a generalization of a recent algorithm of Bleichenbacher et al.~for decoding interleaved codes on the Q-ary symmetric channel for large Q. We will show that for any m and any ϵ the new algorithms can decode up to a fraction of at ...
This thesis addresses the topic of Low-Density Parity-Check (LDPC) code analysis, both asymptotically and for finite block lengths. Since in general it is a difficult problem to analyze individual code instances, ensemble averages are studied by following ...
We present a novel error-correction scheme for sensor networks called Multi-hop Hybrid ARQ (MHARQ). Rather than immediately discard a received corrupt packet, a node buffers it. When two corrupt versions of a packet have been received, a procedure attempts ...