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Matrix decomposition is a very important mathematical tool in numerical linear algebra for data processing. In this paper, we introduce a new randomized matrix decomposition algorithm, which is called randomized approximate SVD based on…

Numerical Analysis · Mathematics 2023-05-22 Xiaohui Ni , An-Bao Xu

The purpose of this work is to present an effective tool for computing different QR-decompositions of a complex nonsingular square matrix. The concept of the discrete signal-induced heap transform (DsiHT, Grigoryan 2006) is used. This…

Numerical Analysis · Mathematics 2023-12-13 Artyom M. Grigoryan

Quantum error correction (QEC) is required for large-scale computation, but incurs a significant resource overhead. Recent advances have shown that by jointly decoding logical qubits in algorithms composed of transversal gates, the number…

Despite the tremendous progress of quantum cryptography, efficient quantum communication over long distances (>1000km) remains an outstanding challenge due to fiber attenuation and operation errors accumulated over the entire communication…

Hybrid precoding can significantly reduce the number of required radio frequency (RF) chains and relieve the huge energy consumption in mmWave massive MIMO systems, thus attracting much interests from academic and industry. However, most…

Information Theory · Computer Science 2016-05-17 Tian Xie , Linglong Dai , Xinyu Gao , Muhammad Zeeshan Shakir , Zhaocheng Wang

We propose a novel algorithm for using Hopfield networks to denoise QR codes. Hopfield networks have mostly been used as a noise tolerant memory or to solve difficult combinatorial problems. One of the major drawbacks in their use in noise…

Computer Vision and Pattern Recognition · Computer Science 2018-12-14 Ishan Bhatnagar , Shubhang Bhatnagar

We propose a massive parallel decoding GRAND framework. The framework introduces two novelties: 1. A likelihood function for $M$-QAM demodulated signals that effectively reduces the symbol error pattern space from $\mathcal{O}(5^{N/\log_2…

Information Theory · Computer Science 2024-05-06 Danilo Gligoroski , Sahana Sridhar , Katina Kralevska

Singular value decomposition (SVD) is widely used in wireless systems, including multiple-input multiple-output (MIMO) processing and dimension reduction in distributed MIMO (D-MIMO). However, the iterative nature of decomposition methods…

Signal Processing · Electrical Eng. & Systems 2025-09-24 Sijia Cheng , Liang Liu , Ove Edfors , Juan Vidal Alegria

The receiver design for multi-input multi-output (MIMO) ultra-reliable and low-latency communication (URLLC) systems can be a tough task due to the use of short channel codes and few pilot symbols. Consequently, error propagation can occur…

Signal Processing · Electrical Eng. & Systems 2024-04-12 Yi Sun , Hong Shen , Bingqing Li , Wei Xu , Pengcheng Zhu , Nan Hu , Chunming Zhao

We present parallel and sequential dense QR factorization algorithms that are both optimal (up to polylogarithmic factors) in the amount of communication they perform, and just as stable as Householder QR. We prove optimality by extending…

Numerical Analysis · Mathematics 2008-08-21 James Demmel , Laura Grigori , Mark Hoemmen , Julien Langou

In this paper, we investigate a joint device activity detection (DAD), channel estimation (CE), and data decoding (DD) algorithm for multiple-input multiple-output (MIMO) massive unsourced random access (URA). Different from the…

Information Theory · Computer Science 2021-12-20 Tianya Li , Yongpeng Wu , Mengfan Zheng , Wenjun Zhang , Chengwen Xing , Jianping An , Xiang-Gen Xia , Chengshan Xiao

Quality-Diversity (QD) algorithms have emerged as a powerful optimization paradigm with the aim of generating a set of high-quality and diverse solutions. To achieve such a challenging goal, QD algorithms require maintaining a large archive…

Machine Learning · Computer Science 2024-06-07 Ren-Jian Wang , Ke Xue , Cong Guan , Chao Qian

We introduce Variational Latent Mode Decomposition (VLMD), a new algorithm for extracting oscillatory modes and associated connectivity structures from multivariate signals. VLMD addresses key limitations of existing Multivariate Mode…

Machine Learning · Computer Science 2025-05-26 Manuel Morante , Naveed ur Rehman

Massive multiple-input multiple-output (M-MIMO) technique brings better energy efficiency and coverage but higher computational complexity than small-scale MIMO. For linear detections such as minimum mean square error (MMSE), prohibitive…

Signal Processing · Electrical Eng. & Systems 2018-02-19 Chuan Zhang , Yufeng Yang , Shunqing Zhang , Zaichen Zhang , Xiaohu You

Downlink precoding is considered for multi-path multi-input single-output channels where the base station uses orthogonal frequency-division multiplexing and low-resolution signaling. A quantized coordinate minimization (QCM) algorithm is…

Information Theory · Computer Science 2022-08-30 Andrei Stefan Nedelcu , Fabian Steiner , Gerhard Kramer

Distributed MIMO radar is known to achieve superior sensing performance by employing widely separated antennas. However, it is challenging to implement a low-complexity distributed MIMO radar due to the complex operations at both the…

Signal Processing · Electrical Eng. & Systems 2023-02-17 Yikun Xiang , Feng Xi , Shengyao Chen

Automatic modulation recognition (AMR) is a key technology in non-cooperative communication systems, aiming to identify the modulation scheme from signals without prior information. Deep learning (DL)-based methods have gained wide…

Signal Processing · Electrical Eng. & Systems 2025-12-05 Yunpeng Qu , Yazhou Sun , Bingyu Hui , Jintao Wang , Jian Wang

Utilizing low-resolution analog-to-digital converters (ADCs) in uplink massive multiple-input multiple-output (MIMO) systems is a practical solution to decrease power consumption. The performance gap between the low and high-resolution…

Information Theory · Computer Science 2023-10-05 Gökhan Yılmaz , Ali Özgür Yılmaz

In this paper, we propose a decomposition method called Generalized Multi-Unitary Decomposition (GMUD) which is useful in multi-user MIMO precoding. This decomposition transforms a complex matrix H into PRQ, where R is a special matrix…

Information Theory · Computer Science 2008-06-23 Wee Seng Chua , Chau Yuen , Yong Liang Guan , Francois Chin

Due to the numerous limitations of current quantum devices, quantum error mitigation methods become potential solutions for realizing practical quantum applications in the near term. Zero-Noise Extrapolation (ZNE) and Clifford Data…

Quantum Physics · Physics 2025-03-26 Wenbo Shi , Neel Kanth Kundu , Robert Malaney