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The amount of information lost in sub-Nyquist sampling of a continuous-time Gaussian stationary process is quantified. We consider a combined source coding and sub-Nyquist reconstruction problem in which the input to the encoder is a noisy…

Information Theory · Computer Science 2016-01-26 Alon Kipnis , Andrea J. Goldsmith , Yonina C. Eldar , Tsachy Weissman

This paper considers the problem of transmitting the difference of two jointly Gaussian sources over a two-user additive Gaussian noise multiple access channel (MAC). The goal is to recover this difference within an average mean squared…

Information Theory · Computer Science 2008-12-08 Rajiv Soundararajan , Sriram Vishwanath

This paper is concerned with quantum data compression of asymptotically many independent and identically distributed copies of ensembles of mixed quantum states. The encoder has access to a side information system. The figure of merit is…

Quantum Physics · Physics 2024-06-21 Zahra Baghali Khanian , Kohdai Kuroiwa , Debbie Leung

In this paper, we analyze the indirect source coding problem with side information at both the encoder and decoder, as well as only at the decoder. We first derive structural properties of the two rate distortion functions (RDFs) for…

Information Theory · Computer Science 2024-10-14 Evagoras Stylianou , Michail Gkagkos , Charalambos D. Charalambous

For a Gaussian source under mean-squared error (MSE), classical transform coding is rate--distortion (RD) optimal: the Karhunen--Loeve transform (KLT) diagonalizes the covariance, reverse waterfilling allocates the bits, and scalar…

Information Theory · Computer Science 2026-05-18 Bumsu Park , Chanho Park , Youngmok Park , Namyoon Lee

This paper considers the joint compression of a pair of correlated sources, where the encoder is allowed to access only one of the sources. The objective is to recover both sources under separate distortion constraints for each source while…

Information Theory · Computer Science 2024-11-07 Huiyuan Yang , Yuxuan Shi , Shuo Shao , Xiaojun Yuan

We consider the multiuser successive refinement (MSR) problem, where the users are connected to a central server via links with different noiseless capacities, and each user wishes to reconstruct in a successive-refinement fashion. An…

Information Theory · Computer Science 2007-11-13 Chao Tian , Jun Chen , Suhas Diggavi

A coding problem for correlated information sources is investigated. Messages emitted from two correlated sources are jointly encoded, and delivered to two decoders. Each decoder has access to one of the two messages to enable it to…

Information Theory · Computer Science 2008-04-11 Akisato Kimura , Tomohiko Uyematsu

In this work, the problem of transmitting an i.i.d Gaussian source over an i.i.d Gaussian wiretap channel with an i.i.d Gaussian side information is considered. The intended receiver is assumed to have a certain minimum SNR and the…

Information Theory · Computer Science 2010-08-03 Ghadamali Bagherikaram , Konstantinos N. Plataniotis

The generic matrix multiply (GEMM) function is the core element of high-performance linear algebra libraries used in many computationally-demanding digital signal processing (DSP) systems. We propose an acceleration technique for GEMM based…

Mathematical Software · Computer Science 2015-05-30 Davide Anastasia , Yiannis Andreopoulos

We derive a simple general parametric representation of the rate-distortion function of a memoryless source, where both the rate and the distortion are given by integrals whose integrands include the minimum mean square error (MMSE) of the…

Information Theory · Computer Science 2010-04-30 Neri Merhav

We consider finite blocklength lossy compression of information sources whose components are independent but non-identically distributed. Crucially, Gaussian sources with memory and quadratic distortion can be cast in this form. We show…

Information Theory · Computer Science 2026-02-11 Eyyup Tasci , Victoria Kostina

We consider the problem of transmission of several distributed correlated sources over a multiple access channel (MAC) with side information at the sources and the decoder. Source-channel separation does not hold for this channel.…

Information Theory · Computer Science 2016-11-15 R. Rajesh , Vinod Sharma , V. K. Varshenya

We provide a complete characterization of the achievable distortion region for the problem of sending a bivariate Gaussian source over bandwidth-matched Gaussian broadcast channels, where each receiver is interested in only one component of…

Information Theory · Computer Science 2010-06-04 Chao Tian , Suhas Diggavi , Shlomo Shamai

Recent work has suggested that low-density generator matrix (LDGM) codes are likely to be effective for lossy source coding problems. We derive rigorous upper bounds on the effective rate-distortion function of LDGM codes for the binary…

Information Theory · Computer Science 2007-07-13 Emin Martinian , Martin J. Wainwright

Consider the problem of source coding in networks with multiple receiving terminals, each having access to some kind of side information. In this case, standard coding techniques are either prohibitively complex to decode, or require…

Information Theory · Computer Science 2011-11-28 Chen Avin , Michael Borokhovich , Asaf Cohen , Zvi Lotker

The following critical phenomenon was recently discovered. When a memoryless source is compressed using a variable-length fixed-distortion code, the fastest convergence rate of the (pointwise) compression ratio to the optimal $R(D)$…

Probability · Mathematics 2007-07-13 Amir Dembo , Ioannis Kontoyiannis

It is well known that separation between lossy source coding and channel coding is asymptotically optimal under classical additive distortion measures. Recently, coding under a new class of quality considerations, often referred to as…

Information Theory · Computer Science 2025-07-02 Chao Tian , Jun Chen , Krishna Narayanan

In the first paper of this two part communication, we solved in a unified framework a variety of two terminal source coding problems with noncooperative encoders, thereby consolidating works of Shannon, Slepian-Wolf, Wyner,…

Information Theory · Computer Science 2007-07-13 Soumya Jana

The three-node multiterminal lossy source coding problem is investigated. We derive an inner bound to the general rate-distortion region of this problem which is a natural extension of the seminal work by Kaspi'85 on the interactive…

Information Theory · Computer Science 2016-01-19 Leonardo Rey Vega , Pablo Piantanida , Alfred Hero