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Array-Code Ensembles -or- Two-Dimensional LDPC Codes

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The Subconvexity Problem For Gl(2)

Philippe Michel

Generalizing and unifying prior results, we solve the subconvexity problem for the L-functions of GL(1) and GL(2) automorphic representations over a fixed number field, uniformly in all aspects. A novel feature of the present method is the softness of our ...

Springer-Verlag2010

Linear Universal Decoder for Compound Discrete Memoryless Channels

Rethnakaran Pulikkoonattu

Shannon in his seminal work \cite{paper:shannon} formalized the framework on the problem of digital communication of information and storage. He quantified the fundamental limits of compression and transmission rates. The quantity \textit{channel capacity} ...

2009

Finite-Length Scaling of Turbo-Like Code Ensembles on the Binary Erasure Channel

A possibility of estimating the finite-length performance of sparse-graph code ensembles gives two opportunities: to compare different codes of the same length in a context very close to real, practical applications and to perform the parameter optimizatio ...

2009

Concentration of Magnetization for Linear Block Codes

Nicolas Macris, Satish Babu Korada, Shrinivas Kudekar

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 ...

2008

Decay of Correlations: An Application to Low-Density Parity Check codes

Nicolas Macris, Shrinivas Kudekar

Recently the decay of correlations between bits of low density generator matrix (LDGM) codes have been investigated by using high temperature expansions from statistical physics \cite{KuMa07}. In this work we apply these ideas to a special class of low den ...

IEEE2008

Exchange of Limits: Why Iterative Decoding Works

Rüdiger Urbanke, Satish Babu Korada

We consider communication over binary-input memoryless output-symmetric channels using low-density parity-check codes under MP decoding. The asymptotic (in the length) performance of such a combination for a fixed number of iterations is given by density e ...

2008

A family of non-binary TLDPC codes: density evolution, convergence and thresholds

We generalize the results about how to compute iterative decoding thresholds over the binary erasure channel of non-binary LDPC code ensembles of [16] to non-binary TLDPC codes [2], [3]. We show in this case how density evolution can be performed in order ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2007

Grouping of contextual elements that affect vernier thresholds

Michael Herzog

To reveal the mechanisms of spatial interference in the fovea, we examined the capacity of a variety of lateral flanking configurations to interfere with alignment thresholds of a vertical vernier. A single line on each side of the vernier, at the optimal ...

Association for Research in Vision and Ophthalmology2007

Time-correlated Two-photon Fluorescence Imaging with Arrays of Solid-state Single Photon Detector

Edoardo Charbon, Carl Petersen, Cristiano Niclass, Marek Gersbach, Dmitri Boiko

This paper reports on our progress in developing two-photon fluorescence lifetime imaging microscopy (FLIM) based on time-correlated single-photon counting (TCSPC). The core of the system is a 2D array of solid-state single-photon avalanche diodes (SPADs) ...

2007

Symmetry, XPD, and port isolation in an ACMPA array with dual linear polarization

Roberto Torres Sánchez

Aperture coupled microstrip patch antennas (ACMPA) are very convenient array elements for designing high directivity planar antennas. Dual polarization ACMPA arrays for Direct Broadcasting Services (DBS) have the problems of low cross-polar discrimination ...

Wiley-Blackwell2007