Linear Universal Decoder for Compound Discrete Memoryless Channels
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The mismatch capacity of a channel is the highest rate at which reliable communication is possible over the channel with a given (possibly suboptimal) decoding rule. This quantity has been studied extensively for single-letter decoding rules over discrete ...
We design sequences of low-density parity check codes that provably perform at rates extremely close to the Shannon capacity. These codes are built from highly irregular bipartite graphs with carefully chosen degree patterns on both sides. We further show ...
The design of practical and powerful codes for protection against erasures can be reduced to optimizing solutions of a highly nonlinear constraint satisfaction problem. In this paper we will attack this problem using the differential evolution approach and ...
This paper investigates encoders optimization for the Hamming weight after periodic puncturing, and discusses minimality issues that may affect the performance of the punctured encoders. Periodically puncturing a minimal encoder produces a higher rate enco ...
In this paper, I will give a brief introduction to the theory of low-density parity- check codes, and their decoding. I will emphasize the case of correcting erasures as it is still the best understood and most accessible case. At the end of the paper, I w ...
We show how a multiuser chaos-based communication system can be designed. The approach builds on the recently introduced method of ergodic chaos shift keying. This method uses a nonlinear correlation estimator for extracting the binary information from the ...
A capacity-achieving sequence of degree distributions for the erasure channel is, roughly speaking, a sequence of degree distributions such that graphs sampled uniformly at random satisfying those degree constraints lead to codes that perform arbitrarily c ...
We examine the implications of using a low density parity check code (LDPCC) in place of the usual Goppa code in McEliece's cryptosystem. Using a LDPCC allows for larger block lengths and the possibility of a combined error correction/encryption protocol ...
The theory and practice of digital communication during the past 50 years has been strongly influenced by Shannon's separation theorem. While it is conceptually and practically appealing to separate source from channel coding, either step requires infinite ...
Decoders employing the generalized likelihood ratio test can achieve rates that can be achieved by maximum likelihood decoders on ISI channels even though they are ignorant of the channel characteristics ...
