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This paper focuses on random projection operators when the subspace of projection is estimated. We derive non-asymptotic upper bounds on the error between the projection onto the estimated subspace and the projection onto the underlying…

Statistics Theory · Mathematics 2026-03-31 Luca Castelli

Terahertz Time Domain Spectroscopy (THz-TDS) systems have emerged as mature technologies with significant potential across various research fields and industries. However, the lack of standardized methods for signal and noise estimation and…

Subspace methods are essential to high-resolution environment sensing in the emerging unmanned systems, if further combined with the millimeter-wave (mm-Wave) massive multi-input multi-output (MIMO) technique. The estimation of signal/noise…

Signal Processing · Electrical Eng. & Systems 2021-01-13 Li Bin , Wang Shuseng , Zhang Jun , Cao Xianbin , Zhao Chenglin

We give an efficient algorithm which can obtain a relative error approximation to the spectral norm of a matrix, combining the power iteration method with some techniques from matrix reconstruction which use random sampling.

Data Structures and Algorithms · Computer Science 2011-04-13 Malik Magdon-Ismail

In this letter, we consider the problem of direction-of-arrival (DOA) estimation with one-bit quantized array measurements. With analysis, it is shown that, under mild conditions the one-bit covariance matrix can be approximated by the sum…

Signal Processing · Electrical Eng. & Systems 2019-04-30 Xiaodong Huang , Bin Liao

Next-generation radio interferometric telescopes will exhibit non-coplanar baseline configurations and wide field-of-views, inducing a w-modulation of the sky image, which in turn induces the spread spectrum effect. We revisit the impact of…

Instrumentation and Methods for Astrophysics · Physics 2013-11-27 L. Wolz , J. D. McEwen , F. B. Abdalla , R. E. Carrillo , Y. Wiaux

A generalized cross-validation approach to estimate the reconstruction filter bandwidth in two-dimensional Filtered Backprojection is presented. The method writes the reconstruction equation in equivalent backprojected filtering form,…

Methodology · Statistics 2019-10-02 Ranjan Maitra

The increasing demands for high-throughput and energy-efficient wireless communications are driving the adoption of extremely large antennas operating at high-frequency bands. In these regimes, multiple users will reside in the radiative…

Signal Processing · Electrical Eng. & Systems 2025-06-30 Arad Gast , Luc Le Magoarou , Nir Shlezinger

This paper presents a method for real-time estimation of 2-dimensional direction of arrival (2D-DOA) of one or more sound sources using a nonlinear array of three microphones. 2D-DOA is estimated employing frame-level time difference of…

Audio and Speech Processing · Electrical Eng. & Systems 2023-05-10 Anton Kovalyov , Kashyap Patel , Issa Panahi

Directional scanning sounding (DSS) has become widely adopted for high-frequency channel measurements because it effectively compensates for severe path loss. However, the resolution of existing multipath component (MPC) angle estimation…

Signal Processing · Electrical Eng. & Systems 2025-04-18 Huixin Xu , Jianhua Zhang , Pan Tang , Hongbo Xing , Lei Tian , Qixing Wang

The multipath radio channel is considered to have a non-bandlimited channel impulse response. Therefore, it is challenging to achieve high resolution time-delay (TD) estimation of multipath components (MPCs) from bandlimited observations of…

Signal Processing · Electrical Eng. & Systems 2019-12-11 Tarik Kazaz , Gerard J. M. Janssen , Alle-Jan van der Veen

We assume the direct sum <A> o <B> for the signal subspace. As a result of post- measurement, a number of operational contexts presuppose the a priori knowledge of the LB -dimensional "interfering" subspace <B> and the goal is to estimate…

Applications · Statistics 2017-04-17 Guillaume Bouleux , Rémy Boyer

The method of location and spectral estimation of weak signals on a noise background is being considered. The method is based on the optimized on order and noise dispersion autoregressive model of a sought signal. A new approach of model…

Computational Engineering, Finance, and Science · Computer Science 2007-07-03 Yu. Bunyak , O. Bunyak

This paper discusses a methodology for determining a functional representation of a random process from a collection of scattered pointwise samples. The present work specifically focuses onto random quantities lying in a high dimensional…

Numerical Analysis · Mathematics 2014-01-03 Lionel Mathelin

We present a MUSIC-based Direction of Arrival (DOA) estimation strategy using small antenna arrays, via employing deep learning for reconstructing the signals of a virtual large antenna array. Not only does the proposed strategy deliver…

Signal Processing · Electrical Eng. & Systems 2021-03-08 Aya Mostafa Ahmed , Udaya Sampath K. P. Miriya Thanthrige , Aly El Gamal , Aydin Sezgin

Weighted least squares polynomial approximation uses random samples to determine projections of functions onto spaces of polynomials. It has been shown that, using an optimal distribution of sample locations, the number of samples required…

Numerical Analysis · Mathematics 2017-10-10 Abdul-Lateef Haji-Ali , Fabio Nobile , Raúl Tempone , Sören Wolfers

Radio map, or pathloss map prediction, is a crucial method for wireless network modeling and management. By leveraging deep learning to construct pathloss patterns from geographical maps, an accurate digital replica of the transmission…

Signal Processing · Electrical Eng. & Systems 2025-01-14 Yuxuan Li , Cheng Zhang , Wen Wang , Yongming Huang

In some applications of frequency estimation, it is challenging to sample at as high as the Nyquist rate due to hardware limitations. An effective solution is to use multiple sub-Nyquist channels with coprime undersampling ratios to jointly…

Information Theory · Computer Science 2017-05-26 Shan Huang , Haijian Zhang , Hong Sun , Lei Yu

In this paper, we consider non-contiguous wideband spectrum sensing (WSS) for spectrum characterization and allocation in next generation heterogeneous networks. The proposed WSS consists of sub-Nyquist sampling and digital reconstruction…

Signal Processing · Electrical Eng. & Systems 2018-09-18 Himani Joshi , Sumit J Darak , A Anil Kumar , Rohit Kumar

Covariance matrix estimates are an essential part of many signal processing algorithms, and are often used to determine a low-dimensional principal subspace via their spectral decomposition. However, exact eigenanalysis is computationally…

Applications · Statistics 2011-12-01 Nicholas Arcolano , Patrick J. Wolfe
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