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Compute-and-forward relaying is effective to increase bandwidth efficiency of wireless two-way relay channels. In a compute-and-forward scheme, a relay tries to decode a linear combination composed of transmitted messages from other…

Information Theory · Computer Science 2018-01-22 Satoshi Takabe , Yuta Ishimatsu , Tadashi Wadayama , Masahito Hayashi

Spatially-coupled low-density lattice codes (LDLC) are constructed using protographs. Using Monte Carlo density evolution using single-Gaussian messages, we observe that the threshold of the spatially-coupled LDLC is within 0.22 dB of…

Information Theory · Computer Science 2011-07-26 Hironori Uchikawa , Brian M. Kurkoski , Kenta Kasai , Kohichi Sakaniwa

Spatially-coupled (SC) codes are constructed by coupling many regular low-density parity-check codes in a chain. The decoding chain of SC codes stops when facing burst erasures. This problem can not be overcome by increasing coupling…

Information Theory · Computer Science 2013-02-07 Ryunosuke Ohashi , Kenta Kasai , Keigo Takeuchi

Compressive sensing (CS) is a sampling technique designed for reducing the complexity of sparse data acquisition. One of the major obstacles for practical deployment of CS techniques is the signal reconstruction time and the high storage…

Information Theory · Computer Science 2011-07-12 Wei Dai , Olgica Milenkovic , Hoa Vin Pham

In this paper we study the problem of recovering sparse or compressible signals from uniformly quantized measurements. We present a new class of convex optimization programs, or decoders, coined Basis Pursuit DeQuantizer of moment $p$…

Optimization and Control · Mathematics 2015-03-13 Laurent Jacques , David K. Hammond , M. Jalal Fadili

In this paper, we analyze the finite-length performance of codes on graphs constructed by connecting spatially coupled low-density parity-check (SC-LDPC) code chains. Successive (peeling) decoding is considered for the binary erasure…

Information Theory · Computer Science 2014-03-03 Pablo M. Olmos , David G. M. Mitchell , Dmitri Truhachev , Daniel J. Costello

This paper is focused on the derivation of some universal properties of capacity-approaching low-density parity-check (LDPC) code ensembles whose transmission takes place over memoryless binary-input output-symmetric (MBIOS) channels.…

Information Theory · Computer Science 2016-11-17 Igal Sason

We investigate an encoding scheme for lossy compression of a binary symmetric source based on simple spatially coupled Low-Density Generator-Matrix codes. The degree of the check nodes is regular and the one of code-bits is Poisson…

Information Theory · Computer Science 2015-06-12 Vahid Aref , Nicolas Macris , Marc Vuffray

This paper investigates the capacity scaling of multicell massive MIMO systems in the presence of spatially correlated fading. In particular, we focus on the strong spatial correlation regimes where the covariance matrix of each user…

Information Theory · Computer Science 2019-12-10 Junyoung Nam , Giuseppe Caire , Merouane Debbah , H. Vincent Poor

Belief propagation applied to iterative decoding and sparse recovery through approximate message passing (AMP) are two research areas that have seen monumental progress in recent decades. Inspired by these advances, this article introduces…

Information Theory · Computer Science 2023-01-06 Jamison R. Ebert , Jean-Francois Chamberland , Krishna R. Narayanan

The excellent performance of convolutional low-density parity-check codes is the result of the spatial coupling of individual underlying codes across a window of growing size, but much smaller than the length of the individual codes.…

Information Theory · Computer Science 2011-05-05 S. Hamed Hassani , Nicolas Macris , Ruediger Urbanke

Compute-and-forward (CAF) relaying is effective to increase bandwidth efficiency of wireless two-way relay channels. In a CAF scheme, a relay is designed to decode a linear combination composed of transmitted messages from other terminals…

Information Theory · Computer Science 2018-07-05 Satoshi Takabe , Tadashi Wadayama , Masahito Hayashi

This paper presents a new class of spatially coupled turbo-like codes (SC-TCs), namely half spatially coupled braided convolutional codes (HSC-BCCs) and half spatially coupled parallel concatenated codes (HSC-PCCs). Different from the…

Information Theory · Computer Science 2025-07-04 Xiaowei Wu , Lei Yang , Min Qiu , Chong Han , Jinhong Yuan

A novel coding strategy for block-based compressive sens-ing named spatially directional predictive coding (SDPC) is proposed, which efficiently utilizes the intrinsic spatial cor-relation of natural images. At the encoder, for each block…

Computer Vision and Pattern Recognition · Computer Science 2016-11-17 Jian Zhang , Debin Zhao , Feng Jiang

Compressive Sensing (CS) theory states that real-world signals can often be recovered from much fewer measurements than those suggested by the Shannon sampling theorem. Nevertheless, recoverability does not only depend on the signal, but…

Information Theory · Computer Science 2017-05-10 Miguel Heredia Conde , Otmar Loffeld

The investigation of spatio-temporal couplings (STCs) of broadband light beams is becoming a key topic for the optimization as well as applications of ultrashort laser systems. This calls for accurate measurements of STCs. Yet, it is only…

We propose a refined scaling law to predict the finite-length performance in the waterfall region of spatially coupled low-density parity-check codes over the binary erasure channel. In particular, we introduce some improvements to the…

Information Theory · Computer Science 2020-08-26 Roman Sokolovskii , Fredrik Brännström , Alexandre Graell i Amat

We analyze the uplink of coordinated multi-point (CoMP) networks in which cooperation can be amongst 2 or 3 base stations (BSs). We consider a 2D network of BSs on a regular hexagonal lattice wherein the cooperation tessellates the 2D plane…

Information Theory · Computer Science 2015-01-20 S. Alireza Banani , Raviraj S. Adve

Raptor codes are rateless codes that achieve the capacity on the binary erasure channels. However the maximum degree of optimal output degree distribution is unbounded. This leads to a computational complexity problem both at encoders and…

Information Theory · Computer Science 2013-02-07 Kosuke Sakata , Kenta Kasai , Kohichi Sakaniwa

The paper introduces new bounds on the asymptotic density of parity-check matrices and the achievable rates under ML decoding of binary linear block codes transmitted over memoryless binary-input output-symmetric channels. The lower bounds…

Information Theory · Computer Science 2007-07-13 Gil Wiechman , Igal Sason
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