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We present a new approach for constructing optical phase-space-time-frequency tomography (OPSTFT) of an optical wave field. This tomography can be measured by using a novel four-window optical imaging system based on two local oscillator…

Quantum Physics · Physics 2015-05-27 Paul Rojas , Rachel Blaser , Yong Meng Sua , Kim Fook Lee

The fractional Fourier transform (FrFT), a fundamental operation in physics that corresponds to a rotation of phase space by any angle, is also an indispensable tool employed in digital signal processing for noise reduction. Processing of…

This paper discusses the noisy phase retrieval problem: recovering a complex image signal with independent noise from quadratic measurements. Inspired by the dark fringes shown in the measured images of the array detector, a novel phase…

Computer Vision and Pattern Recognition · Computer Science 2022-04-14 Wen-Kai Yu , An-Dong Xiong , Xu-Ri Yao , Guang-Jie Zhai , Qing Zhao

In this paper, we propose a differentiable version of the short-time Fourier transform (STFT) that allows for gradient-based optimization of the hop length or the frame temporal position by making these parameters continuous. Our approach…

Signal Processing · Electrical Eng. & Systems 2023-08-07 Maxime Leiber , Yosra Marnissi , Axel Barrau , Mohammed El Badaoui

This paper investigates the effects of setting the sampling frequency significantly higher than conventional guidelines in system identification. Although continuous-time identification methods resolve the numerical difficulties encountered…

Systems and Control · Electrical Eng. & Systems 2025-06-05 Ichiro Maruta , Toshiharu Sugie

In this study, we propose a framework for chirp-based communications by exploiting discrete Fourier transform-spread orthogonal frequency division multiplexing (DFT-s-OFDM). We show that a well-designed frequency-domain spectral shaping…

Signal Processing · Electrical Eng. & Systems 2020-11-24 Alphan Sahin , Nozhan Hosseini , Hosseinali Jamal , Safi Shams Muhtasimul Hoque , David W. Matolak

The Iterative Filtering method is a technique aimed at the decomposition of non-stationary and non-linear signals into simple oscillatory components. This method, proposed a decade ago as an alternative technique to the Empirical Mode…

Numerical Analysis · Mathematics 2021-11-24 Antonio Cicone , Stefano Serra-Capizzano , Haomin Zhou

The FFT algorithm that implements the discrete Fourier transform is considered one of the top ten algorithms of the $20$th century. Its main strengths are the low computational cost of $\mathcal{O}(n \log n$) and its stability. It is one of…

Numerical Analysis · Mathematics 2017-06-15 Matteo Briani , Annie Cuyt , Wen-shin Lee

Recent advances in imaging sensors and digital light projection technology have facilitated a rapid progress in 3D optical sensing, enabling 3D surfaces of complex-shaped objects to be captured with improved resolution and accuracy.…

Instrumentation and Detectors · Physics 2017-11-22 Chao Zuo , Tianyang Tao , Shijie Feng , Lei Huang , Anand Asundi , Qian Chen

An improved phase retrieval method based Hilbert transform is introduced to quantitatively calculate the phase distribution from distorted fringe pattern. Also phase measurement deflectomety are widely used in specular type samples. The…

Instrumentation and Detectors · Physics 2016-09-21 Silin Na , Sanghoon Shin , Younghun Yu

We present a method, referred to as Deep Harmonic Finesse (DHF), for separation of non-stationary quasi-periodic signals when limited data is available. The problem frequently arises in wearable systems in which, a combination of…

Image and Video Processing · Electrical Eng. & Systems 2024-07-03 Mahya Saffarpour , Kourosh Vali , Weitai Qian , Begum Kasap , Herman L. Hedriana , Soheil Ghiasi

Resonance frequencies can provide useful information on the deformation occurring during fracturing experiments or $CO_2$ management, complementary to the microseismic event distribution. An accurate time-frequency representation is of…

Geophysics · Physics 2013-01-08 Roberto H. Herrera , Jean-Baptiste Tary , Mirko van der Baan

The Fast Fourier Transform(FFT) is a classic signal processing algorithm that is utilized in a wide range of applications. For image processing, FFT computes on every pixel's value of an image, regardless of their properties in frequency…

Signal Processing · Electrical Eng. & Systems 2020-02-25 Sheng Shi , Runkai Yang , Haihang You

Contact interfaces with dry friction are frequently used in turbomachinery. Dry friction damping produced by the sliding surfaces of these interfaces reduces the amplitude of bladed-disk vibration. The relative displacements at these…

Computational Physics · Physics 2014-05-15 Loic Salles , Laurent Blanc , Alexandre Gouskov , Pierrick Jean , Fabrice Thouverez

In this paper, we investigate the detection problem of binary faster-than-Nyquist (FTN) signaling and propose a novel sequence estimation technique that exploits its special structure. In particular, the proposed sequence estimation…

Information Theory · Computer Science 2017-03-08 Ebrahim Bedeer , Halim Yanikomeroglu , Mohamed Hossam Ahmed

Many audio signal processing methods are formulated in the time-frequency (T-F) domain which is obtained by the short-time Fourier transform (STFT). The properties of the STFT are fully characterized by window function, number of frequency…

Signal Processing · Electrical Eng. & Systems 2019-02-05 Tsubasa Kusano , Yoshiki Masuyama , Kohei Yatabe , Yasuhiro Oikawa

Radio frequency fingerprint (RFF) identification technology, which exploits relatively stable hardware imperfections, is highly susceptible to constantly changing channel effects. Although various channel-robust RFF feature extraction…

Signal Processing · Electrical Eng. & Systems 2026-02-10 Xuan Yang , Dongming Li , Yi Lou , Xianglin Fan

We provide a detailed description of the Herschel-SPIRE Fourier Transform Spectrometer (FTS) Spectral Feature Finder (FF). The FF is an automated process designed to extract significant spectral features from SPIRE FTS data products.…

Instrumentation and Methods for Astrophysics · Physics 2020-06-24 R. Hopwood , I. Valtchanov , Locke D. Spencer , J. P. Scott , C. S. Benson , N. Marchili , N. Hladczuk , E. T. Polehampton , N. Lu , G. Makiwa , D. A. Naylor , B. G. Gom , G. Noble , M. J. Griffin

We propose a two steps fringe analysis method assuming random phase step and changes in the illumination conditions. Our method constructs on a Gabor Filter--Bank (GFB) that independently estimates the phase from the fringe patterns and…

Optics · Physics 2015-08-05 Mariano Rivera , Oscar Dalmau , Adonai Gonzalez , Francisco Hernandez

The quality of inverse problem solutions obtained through deep learning [Barbastathis et al, 2019] is limited by the nature of the priors learned from examples presented during the training phase. In the case of quantitative phase retrieval…

Image and Video Processing · Electrical Eng. & Systems 2019-07-30 Mo Deng , Shuai Li , Alexandre Goy , Iksung Kang , George Barbastathis
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