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Related papers: Optical Phase-Space-Time-Frequency Tomography

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THz spectroscopy is an emerging tool for detection of microorganisms and harmful compounds in the food industry, the study of proteins in biomedicine and the development of electron-beam X-ray sources for molecular imaging and lithography.…

Orthogonal time frequency space (OTFS) modulation is a 2-dimensional (2D) modulation scheme designed in the delay-Doppler domain, unlike traditional modulation schemes which are designed in the time-frequency domain. Through a series of 2D…

Information Theory · Computer Science 2018-02-06 K. R. Murali , A. Chockalingam

Temporal-spectral modes of light provide a fundamental window into the nature of atomic and molecular systems and offer robust means for information encoding. Methods to precisely characterize the temporal-spectral state of light at the…

Quantum Physics · Physics 2018-08-29 Alex O. C. Davis , Valérian Thiel , Michał Karpiński , Brian J. Smith

The Zak-transform-based Orthogonal Time Frequency Space (Zak-OTFS), offers a robust framework for high-mobility communications by simplifying the input-output (I/O) relation to a twisted convolution. While this structure theoretically…

Signal Processing · Electrical Eng. & Systems 2026-02-10 Kecheng Zhang , Weijie Yuan , Yonghui Li

The data analysis of space-based gravitational wave detectors like Taiji faces significant challenges from non-stationary noise, which compromises the efficacy of traditional frequency-domain analysis. This work proposes a unified framework…

General Relativity and Quantum Cosmology · Physics 2025-06-23 Minghui Du , Ziren Luo , Peng Xu

Due to its appearance in a remarkably wide field of applications, such as audio processing and coherent diffraction imaging, the short-time Fourier transform (STFT) phase retrieval problem has seen a great deal of attention in recent years.…

Functional Analysis · Mathematics 2025-05-06 Philipp Grohs , Lukas Liehr

A new method, FM-FTS, combining Frequency Modulation heterodyne laser spectroscopy and Fourier Transform Spectroscopy is presented. It provides simultaneous sensitive measurement of absorption and dispersion profiles with broadband spectral…

Optics · Physics 2007-09-24 Julien Mandon , Guy Guelachvili , Nathalie Picqué

A time-frequency diagram is a commonly used visualization for observing the time-frequency distribution of radio signals and analyzing their time-varying patterns of communication states in radio monitoring and management. While it excels…

Signal Processing · Electrical Eng. & Systems 2022-10-03 Ying Zhao , Luhao Ge , Huixuan Xie , Genghuai Bai , Zhao Zhang , Qiang Wei , Yun Lin , Yuchao Liu , Fangfang Zhou

The covariance function and the variogram play very important roles in modelling and in prediction of spatial and spatio-temporal data. The assumption of second order stationarity, in space and time, is often made in the analysis of spatial…

Statistics Theory · Mathematics 2016-10-20 T. Subba Rao , Gy. Terdik

An image-based technique for measuring the complex field in the pupil of an imaging system is presented. Two point source images, one with a small modification introduced in the pupil, are combined using a simple and non-iterative…

Optics · Physics 2013-09-27 Johanan L. Codona

Accurately estimating the point spread function (PSF) of an optical system requires solving free-space wave propagation, which entails evaluating a diffraction integral. This integral is traditionally computed numerically using Fast Fourier…

Image and Video Processing · Electrical Eng. & Systems 2026-05-22 Nicholas Ganino , Qi Guo

Optical phase-space functions describe spatial and angular information simultaneously; examples include light fields in ray optics and Wigner functions in wave optics. Measurement of phase-space enables digital refocusing, aberration…

Optics · Physics 2017-08-02 Hsiou-Yuan Liu , Jingshan Zhong , Laura Waller

In non-stationary signal processing, prior work has incorporated the quadratic-phase Fourier transform (QPFT) into the ambiguity function (AF) and Wigner distribution (WD) to enhance their performance. This paper introduces an advanced…

Functional Analysis · Mathematics 2025-03-21 Aamir H. Dar , Neeraj Kumar Sharma

In this paper, we investigate the performance of RIS-aided orthogonal time frequency space (OTFS) and orthogonal frequency division multiplexing (OFDM) systems in the presence of oscillator phase noise. OFDM is known to be sensitive to…

Signal Processing · Electrical Eng. & Systems 2026-02-16 Stephen McWade , Arman Farhang

Time-resolved optical filtering (TROF) measures the spectrogram or sonogram by a fast photodiode followed a tunable narrowband optical filter. For periodic signal and to match the sonogram, numerical TROF algorithm is used to find the…

Optics · Physics 2013-01-15 KeangPo Ho , Hsi-Cheng Wang , Hau-Kai Chen , Cheng-Chen Wu

In recent years, the synchrosqueezing transform (SST) has gained popularity as a method for the analysis of signals that can be broken down into multiple components determined by instantaneous amplitudes and phases. One such version of SST,…

Numerical Analysis · Mathematics 2017-09-20 Alexander Berrian , Naoki Saito

We present a new method for the generation of atmospheric turbulence phase screens based on the frequency shift property of the Fourier transform. This method produces low spatial frequency distortions without additional computation time…

Optics · Physics 2020-01-08 Daniel A. Paulson , Chensheng Wu , Christopher C. Davis

We present a technique for measuring the transverse spatial properties of an optical wavefront. Intensity and phase profiles are recovered by analysis of a series of interference patterns produced by the combination of a scanning X-shaped…

Optics · Physics 2015-06-15 David T. Lloyd , Kevin O'Keeffe , Simon M. Hooker

High resolution (900 Hz full-width at half maximum) frequency domain spectroscopy near 0.2Terahertz is achieved using an exact frequency spacing comb-source in the optical communications band, filtering and photo-mixing in a custom…

Instrumentation and Detectors · Physics 2019-09-19 Rodolfo I. Hermans , Haymen Shams , James P. Seddon , Alwyn J. Seeds , Gabriel Aeppli

Atoms trapped in optical lattice have long been a system of interest in the AMO community, and in recent years much study has been devoted to both short- and long-range coherence in this system, as well as to its possible applications to…

Quantum Physics · Physics 2009-11-11 J. F. Kanem , S. Maneshi , S. H. Myrskog , A. M. Steinberg