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This work concentrates on the study of inverse determinant sums, which arise from the union bound on the error probability, as a tool for designing and analyzing algebraic space-time block codes. A general framework to study these sums is…

Information Theory · Computer Science 2013-10-01 Roope Vehkalahti , Hsiao-feng Lu , Laura Luzzi

This paper considers shifted inverse determinant sums arising from the union bound of the pairwise error probability for space-time codes in multiple-antenna fading channels. Previous work by Vehkalahti et al. focused on the approximation…

Information Theory · Computer Science 2016-11-15 Roope Vehkalahti , Laura Luzzi , Jean-Claude Belfiore

Inverse determinant sums appear naturally as a tool for analyzing performance of space-time codes in Rayleigh fading channels. This work will analyze the growth of inverse determinant sums of a family of quasi-orthogonal codes and will show…

Information Theory · Computer Science 2015-01-09 Roope Vehkalahti , Laura Luzzi

Algebraic space--time coding --- a powerful technique developed in the context of multiple-input multiple-output (MIMO) wireless communications --- has profited tremendously from tools from Class Field Theory and, more concretely, the…

Number Theory · Mathematics 2017-08-04 Amaro Barreal , Capi Corrales Rodrigáñez , Camilla Hollanti

This work aims at providing new bounds for the diversity multiplexing gain trade-off of a general class of division algebra based lattice codes. In the low multiplexing gain regime, some bounds were previously obtained from the high…

Information Theory · Computer Science 2015-09-29 Laura Luzzi , Roope Vehkalahti , Alexander Gorodnik

We derive a priori bounds on the size of the structure constants of the free Lie algebra over a set of indeterminates, relative to its Hall bases. We investigate their asymptotic growth, especially as a function of the length of the…

Combinatorics · Mathematics 2022-09-23 Karine Beauchard , Jérémy Le Borgne , Frédéric Marbach

We present sum-set inequalities specialized to the generalized degrees of freedom (GDoF) framework. These are information theoretic lower bounds on the entropy of bounded density linear combinations of discrete, power-limited dependent…

Information Theory · Computer Science 2017-08-25 Arash Gholami Davoodi , Syed A. Jafar

Intelligent access point (AP) deployment remains challenging in next-generation wireless networks due to complex indoor geometries and signal propagation. We firstly benchmark general-purpose large language models (LLMs) as agentic…

Machine Learning · Computer Science 2026-02-03 Chenyang Yuan , Xiaoyuan Cheng

It is known that, for transmission over quasi-static MIMO fading channels with n transmit antennas, diversity can be obtained by using an inner fully diverse space-time block code while coding gain, derived from the determinant criterion,…

Information Theory · Computer Science 2010-08-10 Frederique Oggier , Patrick Sole , Jean-Claude Belfiore

This paper considers space-time coding over several independently Rayleigh faded blocks. In particular we will concentrate on giving upper bounds for the coding gain of lattice space-time codes as the number of blocks grow. This problem was…

Information Theory · Computer Science 2014-08-21 Benjamin Linowitz , Matthew Satriano , Roope Vehkalahti

In this paper we propose a new design criterion and a new class of unitary signal constellations for differential space-time modulation for multiple-antenna systems over Rayleigh flat-fading channels with unknown fading coefficients.…

Information Theory · Computer Science 2008-05-12 Xinjia Chen , Kemin Zhou , Jorge Aravena

We consider the problem of inferring the conditional independence graph (CIG) of a high-dimensional stationary multivariate Gaussian time series. A sparse-group lasso based frequency-domain formulation of the problem has been considered in…

Machine Learning · Statistics 2022-05-02 Jitendra K Tugnait

There is an increasing interest in designing differentiators, which converge exactly before a prespecified time regardless of the initial conditions, i.e., which are fixed-time convergent with a predefined Upper Bound of their Settling Time…

Optimization and Control · Mathematics 2022-07-20 Rodrigo Aldana-López , Richard Seeber , David Gómez-Gutiérrez , Marco Tulio Angulo , Michael Defoort

We propose a simple yet effective wireless network coding and decoding technique. It utilizes spatial diversity through cooperation between nodes which carry out distributed encoding operations dictated by generator matrices of linear block…

Information Theory · Computer Science 2016-11-17 Tugcan Aktas , Ali Ozgur Yilmaz , Emre Aktas

Algorithms having uniform convergence with respect to their initial condition (i.e., with fixed-time stability) are receiving increasing attention for solving control and observer design problems under time constraints. However, we still…

Optimization and Control · Mathematics 2020-01-22 Rodrigo Aldana-López , David Gómez-Gutiérrez , Marco Tulio Angulo , Michael Defoort

In the near future, the $5^{th}$ generation (5G) wireless systems will be established. They will consist of an integration of different techniques, including distributed antenna systems and massive multiple-input multiple-output systems,…

Information Theory · Computer Science 2017-10-17 Amaro Barreal , Camilla Hollanti

The code equivalence problem is central in coding theory and cryptography. While classical invariants are effective for Hamming and rank metrics, the sum-rank metric, which unifies both, introduces new challenges. This paper introduces new…

Information Theory · Computer Science 2025-07-08 Paolo Santonastaso , Ferdinando Zullo

There is a growing interest in differentiation algorithms that converge in fixed time with a predefined Upper Bound on the Settling Time (UBST). However, existing differentiation algorithms are limited to signals having an $n$-th order…

Optimization and Control · Mathematics 2023-04-05 David Gómez-Gutiérrez , Rodrigo Aldana-López , Richard Seeber , Marco Tulio Angulo , Leonid Fridman

Uniform asymptotic confidence bands for a multivariate regression function in an inverse regression model with a convolution-type operator are constructed. The results are derived using strong approximation methods and a limit theorem for…

Statistics Theory · Mathematics 2015-04-08 Katharina Proksch , Nicolai Bissantz , Holger Dette

We study the joint distribution of the input sum and the output sum of a deterministic transducer. Here, the input of this finite-state machine is a uniformly distributed random sequence. We give a simple combinatorial characterization of…

Combinatorics · Mathematics 2015-04-14 Clemens Heuberger , Sara Kropf , Stephan Wagner
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