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The mutual information between a complex-valued channel input and its complex-valued output is decomposed into four parts based on polar coordinates: an amplitude term, a phase term, and two mixed terms. Numerical results for the additive…

Information Theory · Computer Science 2015-03-13 Bernhard Goebel , René-Jean Essiambre , Gerhard Kramer , Peter J. Winzer , Norbert Hanik

Ultra-reliable low-latency communications (URLLC) demand decoding algorithms that simultaneously offer high reliability and low complexity under stringent latency constraints. While iterative decoding schemes for LDPC and Polar codes offer…

Signal Processing · Electrical Eng. & Systems 2025-07-30 Enrico Testi , Enrico Paolini

Channel coding for discrete memoryless channels (DMCs) with mean and variance cost constraints has been recently introduced. We show that there is an improvement in coding performance due to cost variability, both with and without feedback.…

Information Theory · Computer Science 2025-07-10 Adeel Mahmood , Aaron B. Wagner

We consider the problem of controlling an unstable plant over an additive white Gaussian noise (AWGN) channel with a transmit power constraint, where the signaling rate of communication is larger than the sampling rate (for generating…

Systems and Control · Computer Science 2016-10-31 Anatoly Khina , Gustav M. Pettersson , Victoria Kostina , Babak Hassibi

We consider the distributional connection between the lossy compressed representation of a high-dimensional signal $X$ using a random spherical code and the observation of $X$ under an additive white Gaussian noise (AWGN). We show that the…

Information Theory · Computer Science 2021-12-14 Alon Kipnis , Galen Reeves

For the additive white Gaussian noise channel with average codeword power constraint, new coding methods are devised in which the codewords are sparse superpositions, that is, linear combinations of subsets of vectors from a given design,…

Information Theory · Computer Science 2010-06-21 Andrew R. Barron , Antony Joseph

We study finite-blocklength bounds for noisy permutation channels whose reachable output polytope may be lower-dimensional than the output simplex. Existing Gaussian achievability analyses focus on strictly positive full-rank square DMC…

Information Theory · Computer Science 2026-05-26 Lugaoze Feng , Guocheng Lv , Xunan Li. , Ye Jin

We study universal decoding over unknown discrete additive channels determined by a finite-state (unifilar) random process. Aiming at low-complexity decoders, we study variants of noise-guessing decoders that use estimators for the…

Information Theory · Computer Science 2025-07-24 Henrique K. Miyamoto , Sheng Yang

Standard upper and lower bounds on the capacity of relay channels are cut-set (CS), decode-forward (DF), and quantize-forward (QF) rates. For real additive white Gaussian noise (AWGN) multicast relay channels with one source node and one…

Information Theory · Computer Science 2019-01-28 Mohit Thakur , Gerhard Kramer

Multidimensional lattice constellations which present signal space diversity (SSD) have been extensively studied for single-antenna transmission over fading channels, with focus on their optimal design for achieving high diversity gain. In…

Information Theory · Computer Science 2012-07-04 Koralia N. Pappi , Nestor D. Chatzidiamantis , George K. Karagiannidis

Analog-to-digital conversion (ADC) is a key bottleneck in scaling DSP-centric receiver architectures to multiGigabit/s speeds. Recent information-theoretic results, obtained under ideal channel conditions (perfect synchronization, no…

Information Theory · Computer Science 2011-12-21 Jaspreet Singh , Upamanyu Madhow

A classical result in Information Theory states that the Gaussian noise is the worst-case additive noise in point-to-point channels, meaning that, for a fixed noise variance, the Gaussian noise minimizes the capacity of an additive noise…

Information Theory · Computer Science 2013-01-30 Ilan Shomorony , A. Salman Avestimehr

We consider the problem of controlling an unstable scalar linear plant over a power-constrained additive white Gaussian noise (AWGN) channel, where the controller/receiver has access to an additional noisy measurement of the state of the…

Systems and Control · Electrical Eng. & Systems 2020-04-09 Omri Lev , Anatoly Khina

The so-called "replica method" of statistical physics is employed for the large system analysis of vector precoding for the Gaussian multiple-input multiple-output (MIMO) broadcast channel. The transmitter is assumed to comprise a linear…

Information Theory · Computer Science 2011-02-28 Benjamin Zaidel , Ralf Mueller , Aris Moustakas , Rodrigo de Miguel

An upper bound on the error probability of specific lattices, based on their distance-spectrum, is constructed. The derivation is accomplished using a simple alternative to the Minkowski-Hlawka mean-value theorem of the geometry of numbers.…

Information Theory · Computer Science 2013-01-03 Yuval Domb , Meir Feder

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…

Information Theory · Computer Science 2008-12-17 Yuval Kochman , Ram Zamir

To meet the Ultra Reliable Low Latency Communication (URLLC) needs of modern applications, there have been significant advances in the development of short error correction codes and corresponding soft detection decoders. A substantial…

Information Theory · Computer Science 2023-08-11 Ken R. Duffy , Moritz Grundei , Muriel Medard

The performance of a noisy linear time-invariant (LTI) plant, controlled over a noiseless digital channel with transmission delay, is investigated in this paper. The rate-limited channel connects the single measurement output of the plant…

Systems and Control · Computer Science 2017-02-22 Mohsen Barforooshan , Jan Østergaard , Milan S. Derpich

We propose to send a Gaussian source over an average-power limited additive white Gaussian noise channel by transmitting a linear combination of the source sequence and the result of its quantization using a high dimensional Gaussian vector…

Information Theory · Computer Science 2007-07-16 Shraga Bross , Amos Lapidoth , Stephan Tinguely

Low-latency communication is one of the most important application scenarios in next-generation wireless networks. Often in communication-theoretic studies latency is defined as the time required for the transmission of a packet over a…

Signal Processing · Electrical Eng. & Systems 2019-09-09 Hasan Basri Celebi , Antonios Pitarokoilis , Mikael Skoglund