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We propose a strategy for greedy sampling in the context of non-intrusive interpolation-based surrogate modeling for frequency-domain problems. We rely on a non-intrusive and cheap error indicator to drive the adaptive selection of the…

Numerical Analysis · Mathematics 2023-12-06 Davide Pradovera

This paper examines the construction of rth-order truncated balanced realizations via tangential interpolation at r specified interpolation points. It is demonstrated that when the truncated Hankel singular values are negligible-that is,…

Systems and Control · Electrical Eng. & Systems 2025-04-11 Umair Zulfiqar , Zhi-Hua Xiao , Qiu-yan Song , Victor Sreeram

The adaptive Antoulas-Anderson (AAA) algorithm for rational approximation is a widely used method for the efficient construction of highly accurate rational approximations to given data. While AAA can often produce rational approximations…

Numerical Analysis · Mathematics 2026-01-28 Michael S. Ackermann , Linus Balicki , Serkan Gugercin , Steffen W. R. Werner

This paper presents a novel adaptive reduced-rank multi-input-multi-output (MIMO) decision feedback equalization structure based on joint iterative optimization of adaptive estimators. The novel reduced-rank equalization structure consists…

Information Theory · Computer Science 2013-04-30 Rodrigo C. de Lamare , Are Hjorungnes , Raimundo Sampaio-Neto

In the field of Structural Dynamics, modal analysis is the foundation of System Identification and vibration-based inspection. However, despite their widespread use, current state-of-the-art methods for extracting modal parameters from…

Systems and Control · Electrical Eng. & Systems 2024-11-19 Gabriele Dessena , Marco Civera

This paper presents a novel adaptive reduced-rank {multi-input multi-output} (MIMO) equalization scheme and algorithms based on alternating optimization design techniques for MIMO spatial multiplexing systems. The proposed reduced-rank…

Information Theory · Computer Science 2013-01-15 Rodrigo C. de Lamare , Raimundo Sampaio-Neto

Numerous natural and technological phenomena are governed by resonances. In nanophotonics, resonances often result from the interaction of several optical elements. Controlling these resonances is an excellent opportunity to provide light…

Optimization theory assisted algorithms have received great attention for precoding design in multiuser multiple-input multiple-output (MU-MIMO) systems. Although the resultant optimization algorithms are able to provide excellent…

Information Theory · Computer Science 2020-06-16 Qiyu Hu , Yunlong Cai , Qingjiang Shi , Kaidi Xu , Guanding Yu , Zhi Ding

We extend the AAA (Adaptive-Antoulas-Anderson) algorithm to develop a data-driven modeling framework for linear systems with quadratic output (LQO). Such systems are characterized by two transfer functions: one corresponding to the linear…

Numerical Analysis · Mathematics 2021-03-01 Ion Victor Gosea , Serkan Gugercin

We propose two algorithms that use both models and datasets to estimate angular power spectra from channel covariance matrices in massive MIMO systems. The first algorithm is an iterative fixed-point method that solves a hierarchical…

Signal Processing · Electrical Eng. & Systems 2020-12-11 Renato Luis Garrido Cavalcante , Slawomir Stanczak

We present two new methods for multivariate exponential analysis. In [7], we developed a new algorithm for reconstruction of univariate exponential sums by exploiting the rational structure of their Fourier coefficients and reconstructing…

Numerical Analysis · Mathematics 2025-04-29 Nadiia Derevianko , Lennart Aljoscha Hübner

Reconfigurable antennas (RAs) are a promising technology to enhance the capacity and coverage of wireless communication systems. However, RA systems have two major challenges: (i) High computational complexity of mode selection, and (ii)…

Information Theory · Computer Science 2022-11-28 Fariba Armandoust , Ehsan Tohidi , Martin Kasparick , Li Wang , Ahmet Hasim Gokceoglu , Slawomir Stanczak

One approach to parametric and adaptive model reduction is via the interpolation of orthogonal bases, subspaces or positive definite system matrices. In all these cases, the sampled inputs stem from matrix sets that feature a geometric…

Numerical Analysis · Mathematics 2022-12-16 Ralf Zimmermann

In this paper, we consider the structure-preserving model order reduction problem for multi-input/multi-output bilinear control systems by tangential interpolation. We propose a new type of tangential interpolation problem for structured…

Numerical Analysis · Mathematics 2023-11-16 Peter Benner , Serkan Gugercin , Steffen W. R. Werner

We consider an optimization problem related to semi-active damping of vibrating systems. The main problem is to determine the best damping matrix able to minimize influence of the input on the output of the system. We use a minimization…

Dynamical Systems · Mathematics 2017-07-07 Zoran Tomljanović , Christopher Beattie , Serkan Gugercin

Adaptive rational interpolation has been designed in the context of image processing as a new nonlinear technique that avoids the Gibbs phenomenon when we approximate a discontinuous function. In this work, we present a generalization to…

Numerical Analysis · Mathematics 2021-12-21 Francesc Arandiga , Dionisio F. Yanez

In this work, we investigate a model order reduction scheme for polynomial parametric systems. We begin with defining the generalized multivariate transfer functions for the system. Based on this, we aim at constructing a reduced-order…

Numerical Analysis · Mathematics 2019-04-29 Peter Benner , Pawan Goyal

Time delay estimation has long been an active area of research. In this work, we show that compressive sensing with interpolation may be used to achieve good estimation precision while lowering the sampling frequency. We propose an…

Information Theory · Computer Science 2013-06-12 Karsten Fyhn , Marco F. Duarte , Søren Holdt Jensen

This paper proposes two low-complexity iterative algorithms to compute the capacity of a single-user multiple-input multiple-output channel with per-antenna power constraint. The first method results from manipulating the optimality…

Information Theory · Computer Science 2017-05-18 Thuy M. Pham , Ronan Farrell , Le-Nam Tran

In this paper, we focus on model reduction of large-scale bilinear systems. The main contributions are threefold. First, we introduce a new framework for interpolatory model reduction of bilinear systems. In contrast to the existing methods…

Numerical Analysis · Mathematics 2016-10-05 Garret Flagg , Serkan Gugercin