We consider Slepian-Wolf (SW) coding of multiple sources and extend the packing bound and the notion of perfect code from conventional channel coding to SW coding with more than two sources. We then introduce Hamming Codes for Multiple Sources (HCMSs) as a potential solution of perfect SW coding for arbitrary number of terminals. Moreover, we study the case with three sources in detail. We pres...

Correlated sources are present in communication systems where protocols ensure that there is some predetermined information for sources. Here correlated sources across an eavesdropped channel that incorporate a heterogeneous encoding scheme and their effect on the information leakage when some channel information and a source have been wiretapped is investigated. The information leakage bounds ...

Distributed video coding (DVC) is a relatively new video coding architecture originated from two fundamental theorems namely, Slepian-Wolf and Wyner-Ziv. Recent research developments have made DVC attractive for applications in the emerging domain of wireless video sensor networks (WVSNs). This paper reviews the state-of-the-art DVC architectures with a focus on understanding their opportunitie...

Landau, Pollak, Slepian, and Tracy, Widom discovered that certain integral operators with so called Bessel and Airy kernels possess commuting differential operators and found important applications of this phenomena in time-band limiting and random matrix theory. In this paper we announce that very large classes of integral operators derived from bispectral algebras of rank 1 and 2 (parametrize...

the robustness property can be added to dsc system at the expense of reducing performance, i.e., increasing the sum-rate. the aim of designing robust dsc schemes is to trade off between system robustness and compression efficiency. in this paper, after deriving an inner bound on the rate–distortion region for the quadratic gaussian mdc based rdsc system with two encoders, the structure of the r...

We consider the problem of (almost) lossless separate encodings and joint decoding two correlated discrete memoryless sources (DMSs), that is, well–known Slepian-Wolf (S-W) source coding problem. Traditionally, ensembles S–W codes are defined such every bin each n–vector is randomly drawn under uniform distribution across sets {0, 1,..., 2nRX -1} 2nRY -1}, where RX RY rates sources, X Y, respec...

The wavenumber-frequency spectrum reveals dynamic features of spatiotemporal processes such as traveling oscillatory components, turbulent structures, and linear transfer functions. It can be used to estimate multidimensional covariance, or to directly perform parameter estimation with reduced computational cost. However, simple extensions of univariate spectral estimators can be shown to have ...