We calculate the eigenvalues of an integral operator associated with Prolate Spheroidal Wave Functions (or Slepian functions) by interpreting them as tunnelling probabilities in analogous quantum problem. Doing so allows us to extend a well-known approximation due that it applies outside important transition region where these pass from being near unity zero. Study has traditionally been proble...

We consider the reconstruction of signals from nonuniformly spaced samples using a projection onto convex sets (POCSs) implemented with the evolutionary time-frequency transform. Signals of practical interest have finite time support and are nearly band-limited, and as such can be better represented by Slepian functions than by sinc functions. The evolutionary spectral theory provides a time-fr...

Multiterminal (MT) source coding refers to separate lossy encoding and joint decoding of multiple correlated sources. This paper presents two practical MT coding schemes under the same general framework of Slepian-Wolf coded quantization (SWCQ) for both direct and indirect quadratic Gaussian MT source coding problems with two encoders. The first asymmetric SWCQ scheme relies on quantization and...

In this paper, we consider the problem of blockwise streaming compression of a pair of correlated sources, which we term streaming Slepian-Wolf coding. We study the moderate deviations regime in which the rate pairs of a sequence of codes converges, along a straight line, to various points on the boundary of the Slepian-Wolf region at a speed slower than the inverse square root of the blockleng...

We formulate and solve the Slepian spatial-spectral concentration problem on the three-dimensional ball. Both the standard Fourier-Bessel and also the Fourier-Laguerre spectral domains are considered since the latter exhibits a number of practical advantages (spectral decoupling and exact computation). The Slepian spatial and spectral concentration problems are formulated as eigenvalue problems...

In this work we present an equalization scheme for a multi-carrier (MC) code division multiple access (CDMA) communication system that is operated in a frequency-selective time-variant (TV) channel. For block oriented data transmission we are interested to describe the TV channel for the duration of a data block with the smallest amount of parameters possible. Slepian showed that time-limited p...

This work is motivated by the results of Csiszár and Narayan (IEEE Trans. on Inform. Theory, Dec. 2004), which highlight innate connections between secrecy generation by multiple terminals and multiterminal Slepian-Wolf near-lossless data compression (sans secrecy restrictions). We propose a new approach for constructing secret keys based on the long-known Slepian-Wolf code for sources connecte...

Contrary to convention, we construct distributed image compression codecs that operate in the pixel-domain, yet exploit spatial correlation at the decoder only. For lossless compression of binary images of text, we propose two novel decoders: one assumes the image to be a one-dimensional stationary Markov process, and the other assumes it to be a two-dimensional stationary Markov random field. ...

After providing an extension of the Slepian–Bangs formula for general noncircular complex Gaussian distributions, this paper focuses on the stochastic Cramér–Rao bound (CRB) on direction-of-arrival (DOA) estimation accuracy for noncircular sources. We derive an explicit expression of the CRB for DOA parameters alone in the case of noncircular complex Gaussian sources by two different methods. O...