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...

We consider the ability of a distributed randomized network coding approach to multicast, to one or more receivers, correlated sources over a network where compression may be required. We give, for two arbitrarily correlated sources in a general network, upper bounds on the probability of decoding error at each receiver, in terms of network parameters. In the special case of a Slepian-Wolf sour...

In this paper, we use linear codes to study zero-error Slepian-Wolf coding of a set of sources with deviation symmetry, where the sources are generalization of the Hamming sources over an arbitrary field. We extend our previous codes, Generalized Hamming Codes for Multiple Sources, to Matrix Partition Codes and use the latter to efficiently compress the target sources. We further show that ever...

We present spatial-Slepian transform~(SST) for the representation of signals on sphere to support localized signal analysis. use well-optimally concentrated Slepian functions, obtained by solving spatial-spectral concentration problem finding bandlimited and spatially optimally functions sphere, formulate proposed transform obtain joint domain signal. Due optimal energy in spatial domain, allow...

The singular value decomposition going with many problems in medical imaging, non-destructive testing, geophysics, is of central importance. Unfortunately the effective numerical determination functions question a very ill-posed problem. best known remedy to this problem goes back work D. Slepian, H.Landau and H. Pollak, Bell Labs 1960-1965. We show that master symmetries Korteweg-de Vries equa...