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The purpose of this research is to describe an efficient iterative method suitable for obtaining high accuracy solutions to high frequency time-harmonic scattering problems. The method allows for both refinement of local polynomial degree…

Computational Physics · Physics 2018-12-26 Ryan Galagusz , Steve McFee

Calibration is a key step in the signal processing pipeline of any radio astronomical instrument. The required sky, ionospheric and instrumental models for this step can suffer from various kinds of incompleteness. In this paper we analyze…

Instrumentation and Methods for Astrophysics · Physics 2019-02-08 A. Mouri Sardarabadi , L. V. E. Koopmans

Phase-shifted carrier pulse-width modulation (PSC-PWM) is a widely adopted scheduling algorithm in cascaded bridge converters, modular multilevel converters, and reconfigurable batteries. However, non-uniformed pulse widths for the modules…

Systems and Control · Electrical Eng. & Systems 2025-11-07 Amin Hashemi-Zadeh , Nima Tashakor , Sandun Hettiarachchi , Stefan Goetz

Interferometric measurements of high-harmonics induced by multiple laser fields in an emerging field of research that promises optimized yield of harmonics, and time and space-resolved nonlinear spectroscopy. Most of the measurements have…

If the phase retrieval problem can be solved by a method similar to that of solving a system of linear equations under the context of FFT, the time complexity of computer based phase retrieval algorithm would be reduced. Here I present such…

Numerical Analysis · Mathematics 2013-05-20 Yuan Sun

Phase retrieval problems involve solving linear equations, but with missing sign (or phase, for complex numbers) information. More than four decades after it was first proposed, the seminal error reduction algorithm of (Gerchberg and Saxton…

Machine Learning · Statistics 2015-06-15 Praneeth Netrapalli , Prateek Jain , Sujay Sanghavi

In radio astronomy, holography is a commonly used technique to create an image of the electric field distribution in the aperture of a dish antenna. The image is used to detect imperfections in the reflector surface. Similarly, holography…

Instrumentation and Methods for Astrophysics · Physics 2021-06-09 U. Kiefner , R. B. Wayth , D. B. Davidson , M. Sokolowski

Phase retrieval can be expressed as one non-convex constrained optimization problem to identify one phase minimizer in the primal space. Many iterative transform techniques have been proposed to identify the minimizer, e.g., relaxed…

Optimization and Control · Mathematics 2021-12-22 Pengwen Chen

The high tech industry which requires fast stable motion with nanometer precision continues to mainly use PID which is limited by fundamental linear control limitations. Floor vibrations as disturbance significantly affect performance and…

Systems and Control · Electrical Eng. & Systems 2020-05-06 Erdi Akyüz , Niranjan Saikumar , S. Hassan HosseinNia

In this work, we consider the problem of joint calibration and direction-of-arrival (DOA) estimation using sensor arrays. This joint estimation problem is referred to as self calibration. Unlike many previous iterative approaches, we…

Signal Processing · Electrical Eng. & Systems 2021-04-07 Krishnaprasad Nambur Ramamohan , Sundeep Prabhakar Chepuri , Daniel Fernandez Comesana , Geert Leus

The calibration of high-quality two-qubit entangling gates is an essential component in engineering large-scale, fault-tolerant quantum computers. However, many standard calibration techniques are based on randomized circuits that are only…

In millimeter-wave communications (MMWC), in order to compensate for high propagation attenuation, phased arrays are favored to achieve array gain by beamforming, where transmitting and receiving antenna arrays need to be jointly trained to…

Information Theory · Computer Science 2016-11-15 Zhenyu Xiao , Lin Bai , Jinho Choi

Next generation radio telescopes, such as the Square Kilometre Array (SKA) and Next Generation Very Large Array (ngVLA), require precise microwave frequency reference signals to be transmitted over fiber links to each dish to coherently…

Instrumentation and Methods for Astrophysics · Physics 2020-09-09 Skevos F. E. Karpathakis , Charles T. Gravestock , David R. Gozzard , Thea R. Pulbrook , Sascha W. Schediwy

Predictive maintenance of rotating machinery increasingly relies on vibration signals, yet most learning-based approaches either discard phase during spectral feature extraction or use raw time-waveforms without explicitly leveraging phase…

Machine Learning · Computer Science 2025-12-18 Hiroyoshi Nagahama , Katsufumi Inoue , Masayoshi Todorokihara , Michifumi Yoshioka

In the future commercial and military communication systems, anti-jamming remains a critical issue. Existing homogeneous or heterogeneous arrays with a limited degrees of freedom (DoF) and high consumption are unable to meet the…

Information Theory · Computer Science 2023-10-17 Kaizhi Huang , Wenyu Jiang , Yajun Chen , Liang Jin , Qingqing Wu , Xiaoling Hu

We develop a new approach to robust adaptive beamforming in the presence of signal steering vector errors. Since the signal steering vector is known imprecisely, its presumed (prior) value is used to find a more accurate estimate of the…

Information Theory · Computer Science 2012-05-15 Arash Khabbazibasmenj , Sergiy A. Vorobyov , Aboulnasr Hassanien

Phase synchronization among distributed transmission reception points (TRPs) is a prerequisite for enabling coherent joint transmission and high-precision sensing in millimeter wave (mmWave) cell-free massive multiple-input and…

Signal Processing · Electrical Eng. & Systems 2026-01-22 Qingji Jiang , Jing jin , Qixing Wang , Yuanyuan Tang , Yang Cao , Bin Kuang , Jing Dong , Siying Lv , Dongming Wang , Yongming Huang , Jiangzhou Wang , Xiaohu You

In survey sampling, calibration is a very popular tool used to make total estimators consistent with known totals of auxiliary variables and to reduce variance. When the number of auxiliary variables is large, calibration on all the…

Methodology · Statistics 2015-12-15 H. Cardot , C. Goga , M. -A Shehzad

The problem of phase retrieval is to determine a signal $f\in \mathcal{H}$, with $\mathcal{H}$ a Hilbert space, from intensity measurements $|F(\omega)|$, where $F(\omega):=\langle f , \varphi_\omega\rangle$ are measurements of $f$ with…

Functional Analysis · Mathematics 2017-02-02 Rima Alaifari , Ingrid Daubechies , Philipp Grohs , Rujie Yin

We present a novel optimization algorithm, element-wise relaxed scalar auxiliary variable (E-RSAV), that satisfies an unconditional energy dissipation law and exhibits improved alignment between the modified and the original energy. Our…

Optimization and Control · Mathematics 2023-09-11 Shiheng Zhang , Jiahao Zhang , Jie Shen , Guang Lin
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