Two correlated sources are transmitted over a block Rayleigh fading multiple access channel (MAC), where information recovery from only one of the is aimed at, and other used as helper which helps recover source sequences at destination. In this article, successful transmission defined in case rates satisfy intersection both MAC region Slepian-Wolf (SW) with helper, referred to h-SW region, eve...

In this paper, we address the problem of distributed compression in sensor networks. We first propose a distributed compression technique for camera sensor networks, where independent wireless devices are used to acquire and transmit images of a certain scene from different viewing positions. Our approach uses some geometrical information in order to estimate the correlation in the visual data....

In this dissertation, we study the Karhunen-Loève (KL) expansion and the exact L small ball probability for Gaussian processes. The exact L small ball probability is connected to the Laplace transform of the Gaussian process via Sytaja Tauberian theorem. Using this technique, we solved the problem of finding the exact L small ball estimates for the Slepian process S(t) defined as S(t) = W (t+a)...

We consider the problem of compressing correlated binary sources when the correlation between sources is defined by a Hidden Markov Model (HMM). Specifically, the HMM describes the correlation pattern, i.e. the modulo-2 addition of the two sources. In this framework, we develop a density evolution analysis of a compression system using irregular LDPC codes as source codes. In order to achieve t...

The basic polarization phenomenon for i.i.d. sources is extended to a framework allowing dependencies within and between multiple sources. In particular, it is shown that taking the polar transform of a random matrix with i.i.d. columns of arbitrary (correlated) distribution allows to extract the randomness and dependencies. This result is then used to develop polar coding schemes (having low c...

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...