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Pulsar timing array (PTA) is expected to detect gravitational wave background (GWB) in the nanohertz band within the next decade. This provides an opportunity to test the gravity theory and cosmology. A typical data analysis method to…

广义相对论与量子宇宙学 · 物理学 2022-07-20 Yu Hu , Pan-Pan Wang , Yu-Jie Tan , Cheng-Gang Shao

We consider the problem of recovering a $K$-sparse complex signal $x$ from $m$ intensity measurements. We propose the PhaseCode algorithm, and show that in the noiseless case, PhaseCode can recover an arbitrarily-close-to-one fraction of…

信息论 · 计算机科学 2017-04-03 Ramtin Pedarsani , Dong Yin , Kangwook Lee , Kannan Ramchandran

Opto-mechano-fluidic resonators (OMFRs) are a new platform for high-throughput sensing of the mechanical properties of freely flowing microparticles in arbitrary media. Experimental extraction of OMFR mode shapes, especially the acoustic…

光学 · 物理学 2018-03-14 Jeewon Suh , Kewen Han , Gaurav Bahl

We propose a robust and efficient approach to the problem of compressive phase retrieval in which the goal is to reconstruct a sparse vector from the magnitude of a number of its linear measurements. The proposed framework relies on…

信息论 · 计算机科学 2015-10-28 Sohail Bahmani , Justin Romberg

Optical clock interrogation protocols, based on laser-pulse spectroscopy, are suffering from probe-induced frequency shifts and their variations induced by laser power. Original Hyper-Ramsey probing scheme, which was proposed to alleviate…

原子物理 · 物理学 2017-08-16 T. Zanon-Willette , R. Lefevre , A. V. Taichenachev , V. I. Yudin

Quantum correlation, such as entanglement and squeezing have shown to improve phase estimation in interferometric setups on one side, and non-interferometric imaging scheme of amplitude object on the other. In the last case, quantum…

We introduce a self-referenced method for quantum-state tomography of light based on photon-number-resolved double-slit interferometry. Two identical copies of the unknown quantum field illuminate laterally displaced slits, guaranteeing…

光学 · 物理学 2025-12-10 Matan Even Tzur

We develop a fast phase retrieval method which can utilize a large class of local phaseless correlation-based measurements in order to recover a given signal ${\bf x} \in \mathbb{C}^d$ (up to an unknown global phase) in near-linear…

数值分析 · 数学 2016-07-12 Mark Iwen , Aditya Viswanathan , Yang Wang

In this paper, we propose a light reflection based face anti-spoofing method named Aurora Guard (AG), which is fast, simple yet effective that has already been deployed in real-world systems serving for millions of users. Specifically, our…

计算机视觉与模式识别 · 计算机科学 2019-02-28 Yao Liu , Ying Tai , Jilin Li , Shouhong Ding , Chengjie Wang , Feiyue Huang , Dongyang Li , Wenshuai Qi , Rongrong Ji

Broad band power density spectra offer a window to understanding turbulent behavior in the emission mechanism and, at the highest frequencies, in the putative inner engines powering long GRBs. We describe a chirp search method which steps…

高能天体物理现象 · 物理学 2015-06-23 Maurice H. P. M. van Putten , Cristiano Guidorzi , Filippo Frontera

The Lomb-Scargle periodogram is a common tool in the frequency analysis of unequally spaced data equivalent to least-squares fitting of sine waves. We give an analytic solution for the generalisation to a full sine wave fit, including an…

天体物理仪器与方法 · 物理学 2009-11-13 M. Zechmeister , M. Kürster

Common spatial pattern (CSP) is a popular feature extraction method for electroencephalogram (EEG) motor imagery (MI). This study modifies the conventional CSP algorithm to improve the multi-class MI classification accuracy and ensure the…

信号处理 · 电气工程与系统科学 2020-09-02 Ce Zhang , Azim Eskandarian

In this paper, we consider the sparse phase retrieval problem, recovering an $s$-sparse signal $\bm{x}^{\natural}\in\mathbb{R}^n$ from $m$ phaseless samples $y_i=|\langle\bm{x}^{\natural},\bm{a}_i\rangle|$ for $i=1,\ldots,m$. Existing…

数值分析 · 数学 2021-10-15 Jian-Feng Cai , Jingzhi Li , Xiliang Lu , Juntao You

Phase retrieval with prior information can be cast as a nonsmooth and nonconvex optimization problem. We solve the problem by graph projection splitting (GPS), where the two proximity subproblems and the graph projection step can be solved…

最优化与控制 · 数学 2020-06-24 Ji Li , Hongkai Zhao

Phase retrieval (PR) is an inverse problem about recovering a signal from phaseless linear measurements. This problem can be effectively solved by minimizing a nonconvex amplitude-based loss function. However, this loss function is…

信号处理 · 电气工程与系统科学 2020-07-24 Q. Luo , H. Wang

We develop sub-Nyquist sampling systems for analog signals comprised of several, possibly overlapping, finite duration pulses with unknown shapes and time positions. Efficient sampling schemes when either the pulse shape or the locations of…

信息论 · 计算机科学 2015-03-17 Ewa Matusiak , Yonina C. Eldar

Dispersion-based photonics-assisted microwave measurement systems provide immense potential for real-time analysis of wideband and dynamic signals. However, they face two critical challenges: a difficulty in achieving high frequency…

光学 · 物理学 2026-02-13 Chi Jiang , Taixia Shi , Hang Yang , Lei Gao , Xianxin Zhang , Yiqing Liu , Yang Chen

Time-equispaced inertial measurements are practically used as inputs for motion determination. Polynomial interpolation is a common technique of recovering the gyroscope signal but is subject to a fundamentally numerical stability problem…

机器人学 · 计算机科学 2021-09-23 Yuanxin Wu , Maoran Zhu

One of the most prominent challenges in the field of diffractive imaging is the phase retrieval (PR) problem: In order to reconstruct an object from its diffraction pattern, the inverse Fourier transform must be computed. This is only…

图像与视频处理 · 电气工程与系统科学 2022-05-06 Simon Welker , Tal Peer , Henry N. Chapman , Timo Gerkmann

In a variety of fields, in particular those involving imaging and optics, we often measure signals whose phase is missing or has been irremediably distorted. Phase retrieval attempts to recover the phase information of a signal from the…

信息论 · 计算机科学 2019-10-02 Gilles Baechler , Miranda Kreković , Juri Ranieri , Amina Chebira , Yue M. Lu , Martin Vetterli