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In recent years the theory of border collision bifurcations has been developed for piecewise smooth maps that are continuous across the border, and has been successfully applied to explain nonsmooth bifurcation phenomena in physical…

Chaotic Dynamics · Physics 2011-10-13 Biswambhar Rakshit , Manjul Apratim , Parag Jain , Soumitro Banerjee

The FMCW radars are widely used for automotive radar systems. The basic idea for FMCW radars is to generate a linear frequency ramp as transmit signal. The difference frequency, (i.e., beat frequency) between the transmitted and received…

Signal Processing · Electrical Eng. & Systems 2025-08-12 Emre Kurtoglu , Mohammad Mahbubur Rahman

In this paper, we extend the method developed in [17, 18] to curves in the Minkowski plane. The method proposes a way to study deformations of plane curves taking into consideration their geometry as well as their singularities. We deal in…

Differential Geometry · Mathematics 2020-07-10 A. P. Francisco

Consider a microphone array, such as those present in Amazon Echos, conference phones, or self-driving cars. One of the goals of these arrays is to decode the angles in which acoustic signals arrive at them. This paper considers the problem…

Sound · Computer Science 2021-09-28 Yu-Lin Wei , Romit Roy Choudhury

This paper presents a tool for the analysis, and simulation of direction-of-arrival (DOA) estimation in wireless mobile communication systems over the fading channel. It reviews two methods of Direction of arrival (DOA) estimation…

Networking and Internet Architecture · Computer Science 2011-12-12 A. V. Meenakshi , V. Punitham , R. Kayalvizhi , S. Asha

This paper proposes design techniques for partially-calibrated sparse linear subarrays and algorithms to perform direction-of-arrival (DOA) estimation. First, we introduce array architectures that incorporate two distinct array categories,…

Signal Processing · Electrical Eng. & Systems 2024-09-04 W. Leite , R. C. de Lamare , Y. Zakharov , W. Liu , M. Haardt

Direction of Arrival (DOA) estimation serves as a critical sensing technology poised to play a vital role in future intelligent and ubiquitous communication systems. Despite the development of numerous mature super-resolution algorithms,…

Signal Processing · Electrical Eng. & Systems 2025-12-23 Jiaji Ren , Ye Tian , Baiyang Liu , Tuo Wu , Wei Liu , Kai-Kit Wong , Kin-Fai Tong , Kwai-Man Luk

The estimation of direction of arrival (DOA) is a crucial issue in conventional radar, wireless communication, and integrated sensing and communication (ISAC) systems. However, low-cost systems often suffer from imperfect factors, such as…

Signal Processing · Electrical Eng. & Systems 2024-03-21 Peng Chen , Zhimin Chen , Liang Liu , Yun Chen , Xianbin Wang

Localizing near-field sources considering practical arrays is important in wireless communications. Array-based apertures exhibit mutual coupling between the array elements, which can significantly degrade the performance of the…

Signal Processing · Electrical Eng. & Systems 2024-07-30 Zohreh Ebadi , Amir Masoud Molaei , Muhammad Ali Babar Abbasi , Simon Cotton , Anvar Tukmanov , Okan Yurduseven

Direction finding and positioning systems based on RF signals are significantly impacted by multipath propagation, particularly in indoor environments. Existing algorithms (e.g MUSIC) perform poorly in resolving Angle of Arrival (AoA) in…

Signal Processing · Electrical Eng. & Systems 2021-12-13 Zhuangzhuang Dai , Yuhang He , Tran Vu , Niki Trigoni , Andrew Markham

Accurate direction of arrival (DoA) and time of arrival (ToA) estimation is an stringent requirement for several wireless systems like sonar, radar, communications, and dual-function radar communication (DFRC). Due to the use of high…

Signal Processing · Electrical Eng. & Systems 2024-09-16 Chandrashekhar Rai , Debarati Sen

We consider the problem of estimating the direction-of-arrival (DoA) of a desired source located in a known region of interest in the presence of interfering sources and multipath. We propose an approach that precedes the DoA estimation and…

Signal Processing · Electrical Eng. & Systems 2024-09-13 Amitay Bar , Joseph S. Picard , Israel Cohen , Ronen Talmon

Sensing emerges as a critical challenge in 6G networks, which require simultaneous communication and target sensing capabilities. State-of-the-art super-resolution techniques for the direction of arrival (DoA) estimation encounter…

Signal Processing · Electrical Eng. & Systems 2025-06-17 Murat Babek Salman , Emil Björnson

Two-frequency radiative transfer (2f-RT) theory is developed for geometrical optics in random media. The space-frequency correlation is described by the two-frequency Wigner distribution (2f-WD) which satisfies a closed form equation, the…

Optics · Physics 2009-11-13 Albert C. Fannjiang

The problem of geolocation of a transmitter via time difference of arrival (TDOA) and frequency difference of arrival (FDOA) is given as a system of polynomial equations. This allows for the use of homotopy continuation-based methods from…

Signal Processing · Electrical Eng. & Systems 2024-10-30 Karleigh J. Cameron , Daniel J. Bates

Machine learning is a promising technique for angle-of-arrival (AOA) estimation of waves impinging a sensor array. However, the majority of the methods proposed so far only consider a known, fixed number of impinging waves, i.e., a fixed…

Signal Processing · Electrical Eng. & Systems 2021-11-19 Noud Kanters , Andrés Alayón Glazunov

We analyze the propagation properties of the numerical versions of one and two-dimensional wave equations, semi-discretized in space by finite difference schemes. We focus on high-frequency solutions whose propagation can be described, both…

Analysis of PDEs · Mathematics 2018-06-26 Umberto Biccari , Aurora Marica , Enrique Zuazua

The problem of inverse statistics (statistics of distances for which the signal fluctuations are larger than a certain threshold) in differentiable signals with power law spectrum, $E(k) \sim k^{-\alpha}$, $3 \le \alpha < 5$, is discussed.…

Chaotic Dynamics · Physics 2009-11-07 L. Biferale , M. Cencini , A. Lanotte , D. Vergni , A. Vulpiani

In this work, we consider the problem of localizing multiple signal sources based on time-difference of arrival (TDOA) measurements. In the blind setting, in which the source signals are not known, the localization task is challenging due…

Signal Processing · Electrical Eng. & Systems 2024-03-18 Gabrielle Flood , Filip Elvander

Time of flight cameras may emerge as the 3-D sensor of choice. Today, time of flight sensors use phase-based sampling, where the phase delay between emitted and received, high-frequency signals encodes distance. In this paper, we present a…

Computer Vision and Pattern Recognition · Computer Science 2015-03-11 Achuta Kadambi , Vage Taamazyan , Suren Jayasuriya , Ramesh Raskar