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This paper develops new theory and algorithms to recover signals that are approximately sparse in some general dictionary (i.e., a basis, frame, or over-/incomplete matrix) but corrupted by a combination of interference having a sparse…

Information Theory · Computer Science 2013-09-06 Christoph Studer , Richard G. Baraniuk

This paper presents a method for reconstructing an acoustic source located in a two-layered medium from multi-frequency phased or phaseless far-field patterns measured on the upper hemisphere. The interface between the two media is assumed…

Numerical Analysis · Mathematics 2024-12-10 Yan Chang , Yukun Guo , Yue Zhao

Accurately estimating sound source positions is crucial for robot audition. However, existing sound source localization methods typically rely on a microphone array with at least two spatially preconfigured microphones. This requirement…

Robotics · Computer Science 2025-06-23 Jiang Wang , Runwu Shi , Benjamin Yen , He Kong , Kazuhiro Nakadai

As technology grows, higher frequency signals are required to be processed in various applications. In order to digitize such signals, conventional analog to digital convertors are facing implementation challenges due to the higher sampling…

Information Theory · Computer Science 2014-11-27 Amir Zandieh , Alireza Zareian , Masoumeh Azghani , Farokh Marvasti

A quality-Bayesian approach, combining the direct sampling method and the Bayesian inversion, is proposed to reconstruct the locations and intensities of the unknown acoustic sources using partial data. First, we extend the direct sampling…

Numerical Analysis · Mathematics 2020-04-10 Zhaoxing Li , Yanfang Liu , Jiguang Sun , Liwei Xu

Mobile robots in real-life settings would benefit from being able to localize sound sources. Such a capability can nicely complement vision to help localize a person or an interesting event in the environment, and also to provide enhanced…

Robotics · Computer Science 2016-03-01 Jean-Marc Valin , François Michaud , Brahim Hadjou , Jean Rouat

We address the problem of estimating direction-of-arrivals (DOAs) for multiple acoustic sources in a reverberant environment using a spherical microphone array. It is well-known that multi-source DOA estimation is challenging in the…

Audio and Speech Processing · Electrical Eng. & Systems 2019-12-30 Rohith Mars , Hiroyuki Ehara , Srikanth Nagisetty , Chong Soon Lim

Machine learning algorithms, when trained on audio recordings from a limited set of devices, may not generalize well to samples recorded using other devices with different frequency responses. In this work, a relatively straightforward…

Sound · Computer Science 2021-05-26 Michał Kośmider

Methods are proposed for modifying the reverberation characteristics of sound fields in rooms by employing a loudspeaker with adjustable directivity, realized with a compact spherical loudspeaker array (SLA). These methods are based on…

Audio and Speech Processing · Electrical Eng. & Systems 2024-01-09 Hai Morgenstern , Boaz Rafaely

This work is dedicated to uniqueness and numerical algorithms for determining the point sources of the biharmonic wave equation using scattered fields at sparse sensors. We first show that the point sources in both $\mathbb{R}^2$ and…

Analysis of PDEs · Mathematics 2025-03-11 Xiaodong Liu , Qingxiang Shi , Jing Wang

The objective of the sound source localization task is to enable machines to detect the location of sound-making objects within a visual scene. While the audio modality provides spatial cues to locate the sound source, existing approaches…

Multimedia · Computer Science 2023-08-21 Sung Jin Um , Dongjin Kim , Jung Uk Kim

We present a new method to capture the acoustic characteristics of real-world rooms using commodity devices, and use the captured characteristics to generate similar sounding sources with virtual models. Given the captured audio and an…

Sound · Computer Science 2021-09-28 Zhenyu Tang , Nicholas J. Bryan , Dingzeyu Li , Timothy R. Langlois , Dinesh Manocha

The problem of reconstructing the spatial support of an extended radiating electric current source density in a lossy dielectric medium from transient boundary measurements of the electric fields is studied. A time reversal algorithm is…

Mathematical Physics · Physics 2014-09-19 Abdul Wahab , Amer Rasheed , Tasawar Hayat , Rab Nawaz

The angular spectrum approach (ASA)---a fast, frequency domain method for calculation of the acoustic field---enables passive source localization and modeling forward propagation in homogeneous media with high computational efficiency. Here…

Signal Processing · Electrical Eng. & Systems 2020-12-02 Scott Schoen , Costas D. Arvanitis

The ability to localize and track acoustic events is a fundamental prerequisite for equipping machines with the ability to be aware of and engage with humans in their surrounding environment. However, in realistic scenarios, audio signals…

Audio and Speech Processing · Electrical Eng. & Systems 2020-10-22 Christine Evers , Heinrich Loellmann , Heinrich Mellmann , Alexander Schmidt , Hendrik Barfuss , Patrick Naylor , Walter Kellermann

In many practical applications such as direction-of-arrival (DOA) estimation and line spectral estimation, the sparsifying dictionary is usually characterized by a set of unknown parameters in a continuous domain. To apply the conventional…

Information Theory · Computer Science 2015-06-18 Jun Fang , Jing Li , Yanning Shen , Hongbin Li , Shaoqian Li

We consider an inverse scattering problem for time-harmonic acoustic or electromagnetic waves. The goal is to localize several small penetrable objects embedded inside an otherwise homogeneous background medium from observations of far…

Numerical Analysis · Mathematics 2017-04-05 Roland Griesmaier , Christian Schmiedecke

This paper investigates an inverse source problem for space-time fractional diffusion equations from a posteriori interior measurements. The uniqueness result is established by the memory effect of fractional derivatives and the unique…

Numerical Analysis · Mathematics 2025-10-24 Kai Yu , Zhiyuan Li , Yikan Liu

Speaker localization in a reverberant environment is a fundamental problem in audio signal processing. Many solutions have been developed to tackle this problem. However, previous algorithms typically assume a stationary environment in…

Audio and Speech Processing · Electrical Eng. & Systems 2023-11-29 Daniel A. Mitchell , Boaz Rafaely

The problem of multiple sensors simultaneously acquiring measurements of a single object can be found in many applications. In this paper, we present the optimal recovery guarantees for the recovery of compressible signals from multi-sensor…

Information Theory · Computer Science 2023-08-31 Il Yong Chun , Chen Li , Ben Adcock