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Scalar quantization and probabilistic shaping are applied to the distributed source coding of Gaussian sources, with mean-square error distortion. A coding scheme with a modulo interval, dithering, and truncated Gaussian shaping is shown to…

信息论 · 计算机科学 2026-04-21 Muhammed Yusuf Sener , Gerhard Kramer , Shlomo Shamai , Ronald Böhnke , Wen Xu

The combination of source coding with decoder side-information (Wyner-Ziv problem) and channel coding with encoder side-information (Gel'fand-Pinsker problem) can be optimally solved using the separation principle. In this work we show an…

信息论 · 计算机科学 2008-12-17 Yuval Kochman , Ram Zamir

Polar lattices, which are constructed from polar codes, have recently been proved to be able to achieve the capacity of the additive white Gaussian noise (AWGN) channel. In this work, we propose a new construction of polar lattices to solve…

信息论 · 计算机科学 2021-05-18 Ling Liu , Jinwen Shi , Cong Ling

Distributed source coding (DSC) addresses the compression of correlated sources without communication links among them. This paper is concerned with the Wyner-Ziv problem: coding of an information source with side information available only…

信息论 · 计算机科学 2011-11-08 Cong Ling , Su Gao , Jean-Claude Belfiore

We consider a source coding problem with a network scenario in mind, and formulate it as a remote vector Gaussian Wyner-Ziv problem under covariance matrix distortions. We define a notion of minimum for two positive-definite matrices based…

信息论 · 计算机科学 2016-11-03 Adel Zahedi , Jan Østergaard , Søren Holdt Jensen , Patrick A. Naylor , Søren Bech

Explicit constructions of polar codes and polar lattices for both lossless and lossy Gray-Wyner problems are studied. Polar codes are employed to extract Wyner's common information of doubly symmetric binary source; polar lattices are then…

信息论 · 计算机科学 2016-10-26 Jinwen Shi , Ling Liu , Cong Ling

In this paper, we introduce new lower bounds on the distortion of scalar fixed-rate codes for lossy compression with side information available at the receiver. These bounds are derived by presenting the relevant random variables as a…

信息论 · 计算机科学 2014-11-18 Avraham Reani , Neri Merhav

This paper is concerned with scalar quantization of transform coefficients in an audio codec. The generalized Gaussian distribution (GGD) is used as an approximation of one-dimensional probability density function for transform coefficients…

多媒体 · 计算机科学 2008-06-27 Boris D. Kudryashov , Anton V. Porov , Eunmi L. Oh

Explicit coding schemes are proposed to achieve the rate-distortion function of the Heegard-Berger problem using polar codes. Specifically, a nested polar code construction is employed to achieve the rate-distortion function for the…

信息论 · 计算机科学 2017-10-06 Jinwen Shi , Ling Liu , Deniz Gündüz , Cong Ling

We investigate the Wyner-Ziv coding in which the statistics of the principal source is known but the statistics of the channel generating the side-information is unknown except that it is in a certain class. The class consists of channels…

信息论 · 计算机科学 2013-05-06 Shun Watanabe , Shigeaki Kuzuoka

Advancing over up-to-date information theoretic results that assume symmetric correlation models, in this work we consider the problem of lossy binary source coding with side information, where the correlation is expressed by a generic…

信息论 · 计算机科学 2016-11-17 Andrei Sechelea , Samuel Cheng , Adrian Munteanu , Nikos Deligiannis

Consider a pair of correlated Gaussian sources (X1,X2). Two separate encoders observe the two components and communicate compressed versions of their observations to a common decoder. The decoder is interested in reconstructing a linear…

信息论 · 计算机科学 2007-07-25 D. Krithivasan , S. S. Pradhan

We show how real-number codes can be used to compress correlated sources and establish a new framework for distributed lossy source coding, in which we quantize compressed sources instead of compressing quantized sources. This change in the…

信息论 · 计算机科学 2013-01-03 Mojtaba Vaezi , Fabrice Labeau

Wyner-Ziv coding (WZC) is a compression technique using decoder side information, which is unknown at the encoder, to help the reconstruction. In this paper, we propose and implement a new WZC structure, called residual WZC, for the…

信息论 · 计算机科学 2012-06-01 Yi-Peng Wei , Shih-Chun Lin , Yu-Hsiu Lin , Hsuan-Jung Su

In this paper, we consider the one-shot version of the classical Wyner-Ziv problem where a source is compressed in a lossy fashion when only the decoder has access to a correlated side information. Following the entropy-constrained…

信息论 · 计算机科学 2024-05-06 Oğuzhan Kubilay Ülger , Elza Erkip

Isolating the scattering of longitudinal weak bosons at the LHC is an important tool to probe the ElectroWeak Symmetry Breaking mechanism. Separating polarizations of $W$ and $Z$ bosons is complicated, because of non resonant contributions…

高能物理 - 唯象学 · 物理学 2019-10-02 Alessandro Ballestrero , Ezio Maina , Giovanni Pelliccioli

A coding scheme with scalar lattices is applied to K-receiver, Gaussian, vector broadcast channels with K independent messages, one for each receiver. The method decomposes each receiver channel into parallel scalar channels with known…

信息论 · 计算机科学 2024-04-25 M. Yusuf Şener , Gerhard Kramer , Shlomo Shamai , Ronald Böhnke , Wen Xu

Lattices have been conceived as a powerful tool for data hiding. While conventional studies and applications focus on achieving the optimal robustness versus distortion tradeoff, in some applications such as data hiding in…

信息论 · 计算机科学 2021-06-15 Jieni Lin , Junren Qin , Shanxiang Lyu , Bingwen Feng , Jiabo Wang

We consider Zador's asymptotic formula for the distortion-rate function for a variable-rate vector quantizer in the high-rate case. This formula involves the differential entropy of the source, the rate of the quantizer in bits per sample,…

组合数学 · 数学 2016-11-15 N. J. A. Sloane , Vinay A. Vaishampayan

Motivated by research in metamaterials, we consider the challenging problem of acoustic wave scattering by a doubly periodic quadrant of sound-soft scatterers arranged in a square formation, which we have dubbed the quarter lattice. This…

数学物理 · 物理学 2025-07-09 Matthew Nethercote , Anastasia Kisil , Raphael Assier
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