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We investigate the average erasure probability of the belief propagation algorithm over the binary erasure channel (BEC) for various finite-length low- density parity-check (LDPC) ensembles. In particular, we give tight upper bounds on the "error floor", i ...
Multiple description (MD) coding is a source coding technique for information transmission over unreliable networks. In MD coding, the coder generates several different descriptions of the same signal and the decoder can produce a useful reconstruction of ...
Institute of Electrical and Electronics Engineers2002
It is well known and surprising that the uncoded transmission of an independent and identically distributed Gaussian source across an additive white Gaussian noise channel is optimal: No amount of sophistication in the coding strategy can ever perform bett ...
The paper describes the state of the art in the design of receivers for chaos based digital communication over noisy channels. In the first part, an information theoretic analysis of the potential of chaos in digital communication schemes is given, underli ...
The paper gives an information theoretic analysis of the potential of chaos in digital communication schemes, underlining that there is no fundamental principle that speaks against the use of chaotic systems in digital communications. The channel model con ...
This paper starts a systematic study of capacity-achieving (c.a.) sequences of low-density parity-check codes for the erasure channel. We introduce a class A of analytic functions and develop a procedure to obtain degree distributions for the codes. We sho ...
Linear transforms and expansions are fundamental mathematical tools of signal processing. In particular, the wavelet transform has played an important role in several signal processing tasks, compression being a prime example. A signal can be represented i ...
We analyze iterative coding for the frame-synchronous binary-input discrete-time Gaussian multiple access channel. Using the method of Density Evolution, we optimize degree distributions to exhibit code ensembles whose iterative decoding thresholds are onl ...
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 ...
The master-slave synchronization of two chaotic systems that interact over a noisy channel is analyzed from an information theoretic point of view. It is argued that arbitrarily precise synchronization, in the sense of the mean square synchronization error ...
