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This manuscript is a preliminary pre-print version of a journal submission by the authors, revisiting the problem of range measurement based localization of a signal source or a sensor. The major geometric difficulty of the problem comes…

Optimization and Control · Mathematics 2013-10-29 Baris Fidan , Fatma Kiraz

Source localization is widely used in many areas including GPS, but the influence of possible noises is not so negligible. Many optimization methods are attempted to alleviate different kinds of noises. Needless to say the stability of the…

Signal Processing · Electrical Eng. & Systems 2024-02-16 Kiwoon Kwon

We consider the problem of localizing the source using range and range-difference measurements. Both the problems are non-convex and non-smooth and are challenging to solve. In this paper, we develop an iterative algorithm - Source…

Signal Processing · Electrical Eng. & Systems 2020-02-10 R. Jyothi , P. Babu

In this article we analyze the state-of-the-art in multilateration - the family of localization methods enabled by the range difference observations. These methods are computationally efficient, signal-independent, and flexible with regards…

Sound · Computer Science 2020-07-29 Srđan Kitić , Clément Gaultier , Grégory Pallone

Estimation of the location of sound sources is usually done using microphone arrays. Such settings provide an environment where we know the difference between the received signals among different microphones in the terms of phase or…

Sound · Computer Science 2026-01-08 Helena Peic Tukuljac , Herve Lissek , Pierre Vandergheynst

In this work we study the statistical model of source localization based on Range Difference measurements. We investigate the case of planar localization of a source using a minimal configuration of three non aligned receivers. Our analysis…

Information Theory · Computer Science 2016-06-28 Marco Compagnoni , Roberto Notari , Fabio Antonacci , Augusto Sarti

Conventional approaches to sound localization and separation are based on microphone arrays in artificial systems. Inspired by the selective perception of human auditory system, we design a multi-source listening system which can separate…

Sound · Computer Science 2019-11-11 Xuecong Sun , Han Jia , Zhe Zhang , Yuzhen Yang , Zhaoyong Sun , Jun Yang

In this paper we use the MAP criterion to locate a region containing a source. Sensors placed in a field of interest divide the latter into smaller regions and take measurements that are transmitted over noisy wireless channels. We propose…

Optimization and Control · Mathematics 2009-03-19 S. H. Dandach , F. Bullo

This paper considers the problem of localising a stationary signal source using a team of mobile agents which only take binary measurements. Background false detection rates and missed detection probabilities are incorporated into the…

Signal Processing · Electrical Eng. & Systems 2018-09-13 Daniel D. Selvaratnam , Iman Shames , Jonathan H. Manton , Branko Ristic

This paper addresses the problem of localizing audio sources using binaural measurements. We propose a supervised formulation that simultaneously localizes multiple sources at different locations. The approach is intrinsically efficient…

Sound · Computer Science 2016-04-18 Antoine Deleforge , Radu Horaud , Yoav Schechner , Laurent Girin

The source localization problem, fundamental to applications like GPS, is typically approached as a minimization problem in the presence of various types of noise. Ensuring the uniqueness of solutions in GPS technology is vital for the…

Information Theory · Computer Science 2026-03-02 Kiwoon Kwon

We consider the sound ranging, or source localization, problem - find the source-point from the moments when the wave-sphere of linearly, with time, increasing radius reaches the sensor-points - in the proper metric spaces (any closed ball…

Functional Analysis · Mathematics 2021-03-16 Sergij V. Goncharov

Multiplicative noise models are often used instead of additive noise models in cases in which the noise variance depends on the state. Furthermore, when Poisson distributions with relatively small counts are approximated with normal…

Optimization and Control · Mathematics 2018-06-08 Ruanui Nicholson , Jari P. Kaipio

We present a method for simultaneously localizing multiple sound sources within a visual scene. This task requires a model to both group a sound mixture into individual sources, and to associate them with a visual signal. Our method jointly…

Computer Vision and Pattern Recognition · Computer Science 2022-11-29 Xixi Hu , Ziyang Chen , Andrew Owens

Existing methods utilizing spatial information for sound source separation require prior knowledge of the direction of arrival (DOA) of the source or utilize estimated but imprecise localization results, which impairs the separation…

Audio and Speech Processing · Electrical Eng. & Systems 2025-04-08 Donghang Wu , Xihong Wu , Tianshu Qu

In this paper, the multiple-source ellipsoidal localization problem based on acoustic energy measurements is investigated via set-membership estimation theory. When the probability density function of measurement noise is…

Information Theory · Computer Science 2019-11-19 Fanqin Meng , Xiaojing Shen , Zhiguo Wang , Haiqi Liu , Junfeng Wang , Yunmin Zhu , Pramod K. Varshney

We consider the sound ranging, or source localization, problem --- find the unknown source-point from known moments when the spherical wave of linearly, with time, increasing radius reaches known sensor-points --- in some non-proper metric…

Functional Analysis · Mathematics 2019-11-01 Sergij V. Goncharov

In a sensor network with remote sensor devices, it is important to have a method that can accurately localize a sound event with a small amount of data transmitted from the sensors. In this paper, we propose a novel method for localization…

Sound · Computer Science 2013-03-01 Hong Jiang , Boyd Mathews , Paul Wilford

In electromagnetic source localization problems stemming from linearized Poisson-type equation, the aim is to locate the sources within a domain that produce given measurements on the boundary. In this type of problem, biasing of the…

Optimization and Control · Mathematics 2024-07-30 Joonas Lahtinen

This paper introduces a novel method for solving the single-source localization problem, specifically addressing the case of trilateration. We formulate the problem as a weighted least-squares problem in the squared distances and…

Optimization and Control · Mathematics 2025-02-26 Martin Larsson , Viktor Larsson , Kalle Åström , Magnus Oskarsson
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