We study the relation between stochastic domination of an innnitely divisible random vector X by another innnitely divisible random vector Y and their corresponding L evy measures. The results are used to derive a Slepian-type inequality for a general class of symmetric innnitely divisible random vectors.

We design a distributed function-aware quantization scheme for functional compression. consider 2 correlated sources X 1 and xmlns:xlink="http://www.w3.org/1999/xlink">2 destination that seeks an estimate <inline-formula xmlns:xlink="h...

The Cramér-Rao bound for estimation of parameters in continuous-time ARX models from irregularly sampled data is computed. In the derivation, the Slepian-Bangs formula is used together with a state space framework, resulting in a closed form expression for the Cramér-Rao bound. Copyright c ©2005 IFAC

Layered Wyner-Ziv Video Coding for Noisy Channels. (August 2004) Qian Xu, B.S., University of Science & Technology of China Chair of Advisory Committee: Dr. Zixiang Xiong The growing popularity of video sensor networks and video celluar phones has generated the need for low-complexity and power-efficient multimedia systems that can handle multiple video input and output streams. While standard ...

Spatial Coupling A General Phenomenon • General one-dimensional systems • General BMS channels Threshold Saturation and Universality • Multi-user communications and ISI channels Multi-access channels Noisy Slepian-Wolf Finite state channels Many more... • Problems beyond Communications Compressive sensing K-SAT Practical Aspects and Open Questions • Universality • Windowed decoding • Rate loss ...

We sharpen a classical result on the spectral asymptotics of the boundary value problems for self-adjoint ordinary differential operator. Using this result we obtain the exact L2-small ball asymptotics for a new class of zero mean Gaussian processes. This class includes, in particular, integrated generalized Slepian process, integrated centered Wiener process and integrated centered Brownian br...

E. Mossel and J. Neeman recently provided a heat flow monotonicity proof of Borell’s noise stability theorem. In this note, we develop the argument to include in a common framework noise stability, Brascamp-Lieb inequalities (including hypercontractivity), and even a weak form of Slepian inequalities. The scheme applies furthermore to families of measures with are more log-concave than the Gaus...

[Draft] In this paper, the redundancy of Slepian Wolf coding is revisited. Applying the random binning and converse technique in [6], the same results in [5] are obtained with much simpler proofs. Moreover, our results reflect more details about the high-order terms of the coding rate. The redundancy is investigated for both fixed-rate and variable-rate cases. The normal approximation (or dispe...

This paper deals with the problem of multicasting a set of discrete memoryless correlated sources (DMCS) over a cooperative relay network. Necessary conditions with cut-set interpretation are presented. A Joint source-Wyner-Ziv encoding/sliding window decoding scheme is proposed, in which decoding at each receiver is done with respect to an ordered partition of other nodes. For each ordered par...