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Principal components analysis (PCA) is a classical method for the reduction of dimensionality of data in the form of n observations (or cases) of a vector with p variables. For a simple model of factor analysis type, it is proved that…

Statistics Theory · Mathematics 2009-01-29 Iain M Johnstone , Arthur Yu Lu

Conventional dual-frequency fringe projection algorithm often suffers from phase unwrapping failure when the frequency ratio between the high frequency and the low one is too large. Zhang et.al. proposed an enhanced two-frequency…

Computer Vision and Pattern Recognition · Computer Science 2017-06-28 Guangliang Du , Minmin Wang , Canlin Zhou , Shuchun Si , Hui Li , Zhenkun Lei , Yanjie Li

We report the use of the Australia Telescope Compact Array (ATCA) to conduct polarimetric observations of the sky at 5 GHz. The ATCA is normally operated as an interferometer array, but these observations were conducted in a split array…

Astrophysics · Physics 2010-11-11 D. McConnell , E. Carretti , R. Subrahmanyan

This paper presents a modified rotating element electric field vector (modified REV) method to calibrate the antenna array initial condition of an optical phased array (OPA) device. The new method follows a similar sequential individual…

Applied Physics · Physics 2019-02-19 Qihao Zhang , Lingxuan Zhang , Zhongyu Li , Wei Wu , Guoxi Wang , Xiaochen Sun , Wenfu Zhang

Beamforming is traditionally associated with coherent summation of signals from antenna elements of the same polarization, here referred to as single polarization beamforming (SPBF). In this paper we focus on a new method, called dual…

Signal Processing · Electrical Eng. & Systems 2019-10-23 Sven O. Petersson

Phase-Rectified Signal Averaging (PRSA) was shown to be a powerful tool for the study of quasi-periodic oscillations and nonlinear effects in non-stationary signals. Here we present a bivariate PRSA technique for the study of the…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Aicko Y. Schumann , Jan W. Kantelhardt , Axel Bauer , Georg Schmidt

We develop sparse array receive beamformer design methods achieving maximum signal-to-interference plus noise ratio (MaxSINR) for wideband sources and jammers. Both tapped delay line (TDL) filtering and the DFT realizations to wideband…

Signal Processing · Electrical Eng. & Systems 2020-11-16 Syed A. Hamza , Moeness Amin

Multiple-Input Multiple-Output (MIMO) radars provide various advantages as compared to conventional radars. Among these advantages, improved angular diversity feature is being explored for future fully autonomous vehicles. Improved angular…

Signal Processing · Electrical Eng. & Systems 2022-08-19 Hamza Malik , Jehanzeb Burki , Muhammad Zeeshan Mumtaz

It has been widely acknowledged that Very Long Baseline Interferometry (VLBI) in the submillimeter wavelengths can make imaging observations of super massive black holes possible. The Sub-Millimeter Array (SMA) along with the James Clerk…

Instrumentation and Methods for Astrophysics · Physics 2012-10-23 Vinayak Nagpal

In diffraction imaging, one is tasked with reconstructing a signal from its power spectrum. To resolve the ambiguity in this inverse problem, one might invoke prior knowledge about the signal, but phase retrieval algorithms in this vein…

Functional Analysis · Mathematics 2013-06-26 Afonso S. Bandeira , Yutong Chen , Dustin G. Mixon

Principal Component Analysis (PCA) is the most widely used tool for linear dimensionality reduction and clustering. Still it is highly sensitive to outliers and does not scale well with respect to the number of data samples. Robust PCA…

Computer Vision and Pattern Recognition · Computer Science 2015-04-24 Nauman Shahid , Vassilis Kalofolias , Xavier Bresson , Michael Bronstein , Pierre Vandergheynst

We present a practical implementation of a phase-coherent mapping technique for pulsar timing arrays that resolves the full complex polarisation state of the gravitational-wave sky as a function of direction and frequency. Unlike standard…

High Energy Astrophysical Phenomena · Physics 2026-04-22 Małgorzata Curyło , Eric Thrane , Paul D. Lasky , Dawson S. Gaynor

The problem of sparse array design for dual-function radar-communications is investigated. Our goal is to design a sparse array which can simultaneously shape desired beam responses and serve multiple downlink users with the required…

Systems and Control · Electrical Eng. & Systems 2023-03-14 Huiping Huang , Linlong Wu , Bhavani Shankar , Abdelhak M. Zoubir

Compact ultra-massive antenna-array (CUMA) is a novel multiple access technology built on the fluid antenna system (FAS) concept, offering an improved scheme over fluid antenna multiple access (FAMA) that can support massive connectivity on…

Signal Processing · Electrical Eng. & Systems 2025-09-25 Chenguang Rao , Kai-Kit Wong , Mohd Hamza Naim Shaikh , Hanjiang Hong , Hyundong Shin , Yangyang Zhang

In the literature, there are a few researches to design some parameters in the Proximal Point Algorithm (PPA), especially for the multi-objective convex optimizations. Introducing some parameters to PPA can make it more flexible and…

Optimization and Control · Mathematics 2018-12-11 Jianchao Bai , Jicheng Li , Pingfan Dai , Jiaofen Li

Principal component analysis (PCA) is an exploratory tool widely used in data analysis to uncover dominant patterns of variability within a population. Despite its ability to represent a data set in a low-dimensional space, the…

Radio interferometer arrays with non-homogeneous element patterns are more difficult to calibrate compared to the more common homogeneous array. In particular, the non-homogeneity of the patterns has significant implications on the…

Instrumentation and Methods for Astrophysics · Physics 2021-05-26 Jake L. Jones , Randall B. Wayth

We consider the problem of synthetic aperture radar (SAR) imaging and motion estimation of complex scenes. By complex we mean scenes with multiple targets, stationary and in motion. We use the usual setup with one moving antenna emitting…

Information Theory · Computer Science 2015-03-20 Liliana Borcea , Thomas Callaghan , George Papanicolaou

Increasing the number of transmit and receive elements in multiple-input-multiple-output (MIMO) antenna arrays imposes a substantial increase in hardware and computational costs. We mitigate this problem by employing a reconfigurable MIMO…

Signal Processing · Electrical Eng. & Systems 2020-04-22 Hamed Nosrati , Elias Aboutanios , David Smith

We investigate the application of 2-dimensional Principal Component Analysis (2D PCA) to the problem of removal of polarization fringes from spectro-polarimetric data sets. We show how the transformation of the PCA basis through a series of…

Instrumentation and Methods for Astrophysics · Physics 2018-11-09 Roberto Casini , Wenxian Li