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Fast-speed and high-accuracy three-dimensional (3D) shape measurement has been the goal all along in fringe projection profilometry (FPP). The dual-frequency temporal phase unwrapping method (DF-TPU) is one of the prominent technologies to…

图像与视频处理 · 电气工程与系统科学 2023-05-31 Xiaomin Gao , Wanzhong Song , Chunqian Tan , Junzhe Lei

We propose a decomposition method for the spectral peaks in an observed frequency spectrum, which is efficiently acquired by utilizing the Fast Fourier Transform. In contrast to the traditional methods of waveform fitting on the spectrum,…

信号处理 · 电气工程与系统科学 2022-04-19 Kaan Gokcesu , Hakan Gokcesu

In this paper, we provide a Graph Fourier Transform based approach to downsample signals on graphs. For bandlimited signals on a graph, a test is provided to identify whether signal reconstruction is possible from the given downsampled…

其他统计学 · 统计学 2016-12-23 Nileshkumar Vaishnav , Aditya Tatu

We propose a flexible convex relaxation for the phase retrieval problem that operates in the natural domain of the signal. Therefore, we avoid the prohibitive computational cost associated with "lifting" and semidefinite programming (SDP)…

信息论 · 计算机科学 2017-03-17 Sohail Bahmani , Justin Romberg

Phase retrieval from phaseless short-time Fourier transform (STFT) measurements is known to be inherently unstable when measurements are taken with respect to a single window. While an explicit inversion formula exists, it is useless in…

泛函分析 · 数学 2025-06-19 Rima Alaifari , Yunan Yang

Two steps phase shifting interferometry has been a hot topic in the recent years. We present a comparison study of 12 representative self--tunning algorithms based on two-steps phase shifting interferometry. We evaluate the performance of…

图像与视频处理 · 电气工程与系统科学 2020-02-28 Víctor H. Flores , Alan Reyes-Figueroa , César Carrillo-Delgado , Mariano Rivera

The graph Hilbert transform (GHT) is a key tool in constructing analytic signals and extracting envelope and phase information in graph signal processing. However, its utility is limited by confinement to the graph Fourier domain, a fixed…

信号处理 · 电气工程与系统科学 2025-09-23 Daxiang Li , Zhichao Zhang

There has been a growing interest in wideband spectrum sensing due to its applications in cognitive radios and electronic surveillance. To overcome the sampling rate bottleneck for wideband spectrum sensing, in this paper, we study the…

信息论 · 计算机科学 2019-10-17 Linxiao Yang , Jun Fang , Huiping Duan , Hongbin Li

Ensuring adequate wireless coverage in upcoming communication technologies such as 6G is expected to be challenging. This is because user demands of higher datarate require an increase in carrier frequencies, which in turn reduce the…

信号处理 · 电气工程与系统科学 2024-09-27 Sai Sanjay Narayanan , Uday K Khankhoje , Radha Krishna Ganti

The graph Fourier transform (GFT) is an important tool for graph signal processing, with applications ranging from graph-based image processing to spectral clustering. However, unlike the discrete Fourier transform, the GFT typically does…

信号处理 · 电气工程与系统科学 2019-10-02 Keng-Shih Lu , Antonio Ortega

In many optical metrology techniques, fringe pattern analysis is the central algorithm for recovering the underlying phase distribution from the recorded fringe patterns. Despite extensive research efforts for decades, how to extract the…

图像与视频处理 · 电气工程与系统科学 2019-03-22 Shijie Feng , Qian Chen , Guohua Gu , Tianyang Tao , Liang Zhang , Yan Hu , Wei Yin , Chao Zuo

In this paper, we consider an intelligent reflecting surface (IRS)-aided single-user system where an IRS with discrete phase shifts is deployed to assist the uplink communication. A practical transmission protocol is proposed to execute…

信息论 · 计算机科学 2019-12-24 Changsheng You , Beixiong Zheng , Rui Zhang

Millimeter wave communications require multibeam beamforming in order to utilize wireless channels that suffer from obstructions, path loss, and multi-path effects. Digital multibeam beamforming has maximum degrees of freedom compared to…

If the phase retrieval problem can be solved by a method similar to that of solving a system of linear equations under the context of FFT, the time complexity of computer based phase retrieval algorithm would be reduced. Here I present such…

数值分析 · 数学 2013-05-20 Yuan Sun

Many real-world networks are characterized by directionality; however, the absence of an appropriate Fourier basis hinders the effective implementation of graph signal processing techniques. Inspired by discrete signal processing, where…

信息论 · 计算机科学 2024-07-30 Ali Bagheri Bardi , Taher Yazdanpanah , Milos Dakovic , Ljubisa Stankovic

A new method recovers the phase difference of interfering wavefronts from a pattern of interference fringes, avoiding the phase discontinuity problem. The method relies on the numerical solution of one-dimensional first-order ordinary…

光学 · 物理学 2024-08-01 V. Berejnov , B. Y. Rubinstein

Modelling radar wave propagation in frequency domain is appealing in full waveform inversion because it allows decreasing the non-linearity of the problem, decreasing the dimension of the data space, better description of attenuation, and…

地球物理 · 物理学 2020-05-06 Doyon Bernard , Giroux Bernard

We propose a new approach to linear ill-posed inverse problems. Our algorithm alternates between enforcing two constraints: the measurements and the statistical correlation structure in some transformed space. We use a non-linear multiscale…

计算工程、金融与科学 · 计算机科学 2018-12-04 Ivan Dokmanić , Joan Bruna , Stéphane Mallat , Maarten de Hoop

In the past years, many signal processing operations have been successfully adapted to the graph setting. One elegant and effective approach is to exploit the eigendecomposition of a graph shift operator (GSO), such as the adjacency or…

信号处理 · 电气工程与系统科学 2025-04-10 Chun Hei Michael Chan , Alexandre Cionca , Dimitri Van De Ville

The aim of this paper is to introduce and study a two-step debiasing method for variational regularization. After solving the standard variational problem, the key idea is to add a consecutive debiasing step minimizing the data fidelity on…

数值分析 · 数学 2017-06-23 Eva-Maria Brinkmann , Martin Burger , Julian Rasch , Camille Sutour