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We develop a systematic framework for constructing spherical harmonics on the two-dimensional unit sphere as superpositions of Gaussian beams whose poles form well-separated point configurations. The distributional and analytic properties…

Classical Analysis and ODEs · Mathematics 2025-10-22 Xiaolong Han

Speech separation refers to extracting each individual speech source in a given mixed signal. Recent advancements in speech separation and ongoing research in this area, have made these approaches as promising techniques for pre-processing…

Machine Learning · Computer Science 2019-12-18 Fahimeh Bahmaninezhad , Shi-Xiong Zhang , Yong Xu , Meng Yu , John H. L. Hansen , Dong Yu

We present a single-stage casual waveform-to-waveform multichannel model that can separate moving sound sources based on their broad spatial locations in a dynamic acoustic scene. We divide the scene into two spatial regions containing,…

Sound · Computer Science 2022-07-01 Dejan Markovic , Alexandre Defossez , Alexander Richard

Compressive sensing is the newly emerging method in information technology that could impact array beamforming and the associated engineering applications. However, practical measurements are inevitably polluted by noise from external…

Information Theory · Computer Science 2013-07-12 Siyang Zhong , Xun Huang

In the last decade diffusion MRI has become a powerful tool to non-invasively study white-matter integrity in the brain. Recently many research groups have focused their attention on multi-shell spherical acquisitions with the aim of…

Quantitative Methods · Quantitative Biology 2011-06-02 A. Daducci , J. D. McEwen , D. Van De Ville , J. -Ph. Thiran , Y. Wiaux

Personalized speech enhancement has been a field of active research for suppression of speechlike interferers such as competing speakers or TV dialogues. Compared with single channel approaches, multichannel PSE systems can be more…

Audio and Speech Processing · Electrical Eng. & Systems 2022-11-17 Yicheng Hsu , Yonghan Lee , Mingsian R. Bai

Millimeter wave wireless systems rely heavily on directional communication in narrow steerable beams. Tools to measure the spatial and temporal nature of the channel are necessary to evaluate beamforming and related algorithms. This paper…

Recent advances in audio declipping have substantially improved the state of the art.% in certain saturation regimes. Yet, practitioners need guidelines to choose a method, and while existing benchmarks have been instrumental in advancing…

Sound · Computer Science 2020-12-01 Clément Gaultier , Srđan Kitić , Rémi Gribonval , Nancy Bertin

Signal decomposition and multiscale signal analysis provide many useful tools for time-frequency analysis. We proposed a random feature method for analyzing time-series data by constructing a sparse approximation to the spectrogram. The…

Signal Processing · Electrical Eng. & Systems 2023-03-17 Nicholas Richardson , Hayden Schaeffer , Giang Tran

The paper considers sparse array design for receive beamforming achieving maximum signal-to-interference plus noise ratio (MaxSINR) for both single point source and multiple point sources, operating in an interference active environment.…

Signal Processing · Electrical Eng. & Systems 2020-01-08 Syed A. Hamza , Moeness G. Amin

Densely-packed, all-digital aperture arrays form a key area of technology development required for the Square Kilometre Array (SKA) radio telescope. The design of real-time signal processing systems for digital aperture arrays is currently…

Instrumentation and Methods for Astrophysics · Physics 2010-01-12 Richard P. Armstrong , Kristian Zarb Adami , Mike E. Jones

This paper proposes a new approach to construct high quality space-filling sample designs. First, we propose a novel technique to quantify the space-filling property and optimally trade-off uniformity and randomness in sample designs in…

Massive MIMO is a cornerstone of next-generation wireless communication, offering significant gains in capacity, reliability, and energy efficiency. However, to meet emerging demands such as high-frequency operation, wide bandwidths,…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Ali Rasteh , Andrew Hennessee , Ishaan Shivhare , Siddharth Garg , Sundeep Rangan , Brandon Reagen

Deep learning-based direction-of-arrival (DoA) estimation has gained increasing popularity. A popular family of DoA estimation algorithms is beamforming methods, which operate by constructing a spatial filter that is applied to array…

Computational Engineering, Finance, and Science · Computer Science 2025-12-25 Xuyao Deng , Yong Dou , Kele Xu

We study the coherence in time and space of electromagnetic fields propagated through complex media. Whether for localization, imaging or telecommunication, the development of dedicated numerical techniques is generally based on the…

Computational Physics · Physics 2022-04-21 Thomas Fromenteze , Matthieu Davy , Okan Yurduseven , Yann Marie-Joseph , Cyril Decroze

This article discusses aeroacoustic imaging methods based on correlation measurements in the frequency domain. Standard methods in this field assume that the estimated correlation matrix is superimposed with additive white noise. In this…

Signal Processing · Electrical Eng. & Systems 2020-12-30 Hans-Georg Raumer , Carsten Spehr , Thorsten Hohage , Daniel Ernst

We derive a compressive sampling method for acoustic field reconstruction using field measurements on a predefined spherical grid that has theoretically guaranteed relations between signal sparsity, measurement number, and reconstruction…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Marc Andrew Valdez , Alex J. Yuffa , Michael B. Wakin

Late reverberation involves the superposition of many sound reflections resulting in a diffuse sound field. Since the spatially resolved perception of individual diffuse reflections is impossible, simplifications can potentially be made for…

Audio and Speech Processing · Electrical Eng. & Systems 2021-07-01 Christoph Kirsch , Josef Poppitz , Torben Wendt , Steven van de Par , Stephan D. Ewert

The present document reviews the mathematics behind binaural rendering of sound fields that are available as spherical harmonic expansion coefficients. This process is also known as binaural ambisonic decoding. We highlight that the details…

Sound · Computer Science 2022-09-15 Jens Ahrens

The importance of the information in the direct sound to human perception of spatial sound sources is an ongoing research topic. The classification between direct sound and diffuse or reverberant sound forms the basis of numerous studies in…

Audio and Speech Processing · Electrical Eng. & Systems 2024-01-03 Eran Miller , Boaz Rafaely