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In this paper we present a method for matrix inversion based on Cholesky decomposition with reduced number of operations by avoiding computation of intermediate results; further, we use fixed point simulations to compare the numerical…

Mathematical Software · Computer Science 2013-10-21 Aravindh Krishnamoorthy , Deepak Menon

Multiple-input-multiple-output (MIMO) millimeter-wave (mmWave) sensors for synthetic aperture radar (SAR) and inverse SAR (ISAR) address the fundamental challenges of cost-effectiveness and scalability inherent to near-field imaging. In…

Signal Processing · Electrical Eng. & Systems 2023-05-04 Josiah W. Smith , Muhammet Emin Yanik , Murat Torlak

This paper studies the feasibility of deploying intelligent reflecting surfaces (IRSs) in massive MIMO (multiple-input multiple-output) systems to improve the performance of users in the service dead zone. To reduce the channel training…

Information Theory · Computer Science 2022-01-13 Zhaorui Wang , Liang Liu , Shuowen Zhang , Shuguang Cui

A cumbersome operation in numerical analysis and linear algebra, optimization, machine learning and engineering algorithms; is inverting large full-rank matrices which appears in various processes and applications. This has both numerical…

Numerical Analysis · Mathematics 2022-06-24 Neophytos Charalambides , Mert Pilanci , Alfred O. Hero

Using precoding to suppress multi-user interference is a well-known technique to improve spectra efficiency in multiuser multiple-input multiple-output (MU-MIMO) systems, and the pursuit of high performance and low complexity precoding…

Information Theory · Computer Science 2022-07-11 Maojun Zhang , Jiabao Gao , Caijun Zhong

Compressed sensing (CS) demonstrates that a sparse, or compressible signal can be acquired using a low rate acquisition process below the Nyquist rate, which projects the signal onto a small set of vectors incoherent with the sparsity…

Information Theory · Computer Science 2014-02-25 Yuli Sun , Jinxu Tao

Media-based modulation (MBM) is a novel modulation technique that can improve the spectral efficiency of the existing wireless systems. In MBM, multiple radio frequency (RF) mirrors are placed near the transmit antenna(s) and are switched…

Information Theory · Computer Science 2021-01-07 Manish Mandloi , Devendra Singh Gurjar

A linear inverse problem is proposed that requires the determination of multiple unknown signal vectors. Each unknown vector passes through a different system matrix and the results are added to yield a single observation vector. Given the…

Numerical Analysis · Computer Science 2010-09-03 Adam C. Zelinski , Vivek K Goyal , Elfar Adalsteinsson

Many neural learning algorithms require to solve large least square systems in order to obtain synaptic weights. Moore-Penrose inverse matrices allow for solving such systems, even with rank deficiency, and they provide minimum-norm vectors…

Neural and Evolutionary Computing · Computer Science 2008-12-18 Pierre Courrieu

This paper considers pilot-based channel estimation in large-scale multiple-input multiple-output (MIMO) communication systems, also known as "massive MIMO". Unlike previous works on this topic, which mainly considered the impact of…

Information Theory · Computer Science 2013-07-18 Nafiseh Shariati , Emil Björnson , Mats Bengtsson , Mérouane Debbah

We extend the geometrical inverse approximation approach for solving linear least-squares problems. For that we focus on the minimization of $1-\cos(X(A^TA),I)$, where $A$ is a given rectangular coefficient matrix and $X$ is the approximate…

Numerical Analysis · Mathematics 2019-02-25 Jean-Paul Chehab , Marcos Raydan

Linear receivers offer a low complexity option for multi-antenna communication systems. Therefore, understanding the outage behavior of the corresponding SINR is important in a fading mobile environment. In this paper we introduce a large…

Information Theory · Computer Science 2012-09-17 Aris L. Moustakas , Pavlos Kazakopoulos

In this article, we introduce iterative deterministic equivalents as a novel technique for the performance analysis of communication systems whose channels are modeled by complex combinations of independent random matrices. This technique…

Information Theory · Computer Science 2011-12-20 Jakob Hoydis , Romain Couillet , Merouane Debbah

This paper presents a linear complexity iterative rake detector for the recently proposed orthogonal time frequency space (OTFS) modulation scheme. The basic idea is to extract and combine the received multipath components of the…

Signal Processing · Electrical Eng. & Systems 2020-01-30 Tharaj Thaj , Emanuele Viterbo

The memristive crossbar array (MCA) has been successfully applied to accelerate matrix computations of signal detection in massive multiple-input multiple-output (MIMO) systems. However, the unique property of massive MIMO channel matrix…

Signal Processing · Electrical Eng. & Systems 2025-03-24 Jia-Hui Bi , Shaoshi Yang , Ping Zhang , Sheng Chen

The dynamic matrix inverse problem is to maintain the inverse of a matrix undergoing element and column updates. It is the main subroutine behind the best algorithms for many dynamic problems whose complexity is not yet well-understood,…

Data Structures and Algorithms · Computer Science 2019-05-14 Jan van den Brand , Danupon Nanongkai , Thatchaphol Saranurak

Millimeter-wave massive multiple-input multiple-output systems employ highly directional beamforming to overcome severe path loss, and their performance critically depends on accurate beam alignment. Conventional codebook-based methods…

Signal Processing · Electrical Eng. & Systems 2026-02-26 Weijie Jin , Jing Zhang , Hengtao He , Chao-Kai Wen , Xiao Li , Shi Jin

The matrix inversion is an interesting topic in algebra mathematics. However, to determine an inverse matrix from a given matrix is required many computation tools and time resource if the size of matrix is huge. In this paper, we have…

Discrete Mathematics · Computer Science 2017-08-28 Thuan Nguyen

Linear receivers are often used to reduce the implementation complexity of multiple-antenna systems. In a traditional linear receiver architecture, the receive antennas are used to separate out the codewords sent by each transmit antenna,…

Information Theory · Computer Science 2014-08-06 Jiening Zhan , Bobak Nazer , Uri Erez , Michael Gastpar

Numerous low-complexity iterative algorithms have been proposed to offer the performance of linear multiple-input multiple-output (MIMO) detectors bypassing the channel matrix inverse. These algorithms exhibit fast convergence in…

Information Theory · Computer Science 2023-11-22 Jiuyu Liu , Yi Ma , Rahim Tafazolli