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In this paper we investigate the behaviour of iteratively decoded low-density parity-check codes over the binary erasure channel in the so-called "waterfall region". We show that, according to a simplified model, the performance curves in this region follo ...
We give a short survey of several techniques to construct codes on GF(q) that approach the capacity of the q-ary symmetric channel. The q-ary symmetric channel represents the next level of difficulty after the binary erasure channel (BEC). Since the channe ...
We consider LDPC codes, transmission over the binary symmetric channel (BSC), and decoding using Gallager's algorithm A. For those ensembles whose threshold is determined by the behavior of the algorithm at the beginning of the decoding process we derive a ...
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 ...
We consider communication over the binary erasure and the binary additive white gaussian noise channels using fixed linear block codes and also appropriate ensembles of such codes. We show concentration of the magnetization over the channel realizations an ...
We consider communication over a time-invariant discrete memoryless channel (DMC) with noiseless and instantaneous feedback. We assume that the transmitter and the receiver are not aware of the underlying channel, however, they know that it belongs to some ...
We consider a simple network, where a source and destination node are connected with a line of erasure channels. It is well known that in order to achieve the min-cut capacity, the intermediate nodes are required to process the information. We propose codi ...
Communication over unknown binary symmetric channels with instantaneous and perfect feedback is considered. We describe a universal scheme based on a decision feedback strategy. ...
The transmission of one of two messages over a binary symmetric channels with perfect and instantaneous feedback is considered. We study the situation where transmitter and receiver want to communicated reliably and quickly. We propose a simple decoding ru ...
In some remote sensing applications, the functional relationship between the source being observed and the sensor readings may not be known. Because of communication constraints, this uncertainty may result in poor end-to-end distortion. If the sensors hav ...
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