Distributed Arithmetic Coding (DAC) is an effective implementation of Slepian-Wolf coding, especially for short data blocks. To research its properties, the concept of DAC codeword distribution along proper and wrong decoding paths has been introduced. For DAC codeword distribution of equiprobable binary sources along proper decoding paths, the problem was formatted as solving a system of funct...

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 conventional decode-and-forward (DF) one-way relay systems, a data block received at the relay node is discarded, if the information part is found to have errors after decoding. Such errors are referred to as intra-link errors in this article. However, in a setup where the relay forwards data blocks despite possible intra-link errors, the two data blocks, one from the source node and the oth...

We derive analytic covariance matrices for the $N$-Point Correlation Functions (NPCFs) of galaxies in Gaussian limit. Our results are given arbitrary $N$ and projected onto isotropic basis functions Cahn & Slepian (2020), recently shown to facilitate efficient NPCF estimation. A numerical implementation 4PCF is compared sample obtained from a set lognormal simulations, Quijote dark matter halo ...

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...

The surface displacements measured by the Global Navigation Satellite System (GNSS) provide a unique insight for studying terrestrial water storage (TWS) changes. In this study, we recovered TWS changes from GNSS vertical in Southwest China (SWC) using Slepian basis function (SBF) January 2011 to December 2020. performance of estimated SBF was validated against Gravity Recovery and Climate Expe...