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相关论文: A Non-iterative Method for (Re)Construction of Pha…

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We propose an efficient protocol to fully reconstruct a set of high-fidelity quantum gates. Usually, the efficiency of reconstructing high-fidelity quantum gates is limited by the sampling noise. Our protocol is based on a perturbative…

量子物理 · 物理学 2021-03-24 Ruyu Yang , Ying Li

In this paper we investigate new results on the theory of superoscillations using time-frequency analysis tools and techniques such as the short-time Fourier transform (STFT) and the Zak transform. We start by studying how the short-time…

泛函分析 · 数学 2024-07-18 Daniel Alpay , Antonino De Martino , Kamal Diki , Daniele C. Struppa

Score-based generative models (SGMs) have recently shown impressive results for difficult generative tasks such as the unconditional and conditional generation of natural images and audio signals. In this work, we extend these models to the…

音频与语音处理 · 电气工程与系统科学 2022-07-08 Simon Welker , Julius Richter , Timo Gerkmann

Synchrosqueezing transform (SST) is a useful tool for vibration signal analysis due to its high time-frequency (TF) concentration and reconstruction properties. However, existing SST requires much processing time for large-scale data. In…

信号处理 · 电气工程与系统科学 2020-03-17 Dong He , Hongrui Cao

Soft extrapolation refers to the problem of recovering a function from its samples, multiplied by a fast-decaying window and perturbed by an additive noise, over an interval which is potentially larger than the essential support of the…

数值分析 · 数学 2018-12-26 Dmitry Batenkov , Laurent Demanet , Hrushikesh N. Mhaskar

In this paper, we consider a quaternionic short-time Fourier transform (QSTFT) with normalized Hermite functions as windows. It turns out that such a transform is based on the recent theory of slice polyanalytic functions on quaternions.…

复变函数 · 数学 2021-10-15 Antonino De Martino , Kamal Diki

Recently Fourier Ptychography (FP) has attracted great attention, due to its marked effectiveness in leveraging snapshot numbers for spatial resolution in large field-of-view imaging. To acquire high signal-to-noise-ratio (SNR) images under…

光学 · 物理学 2015-02-19 Liheng Bian , Jinli Suo , Guoan Zheng , KaiKai Guo , Feng Chen , Qionghai Dai

In this article we present an algorithm to efficiently evaluate the exchange matrix in periodic systems when Gaussian basis set with pseudopotentials are used. The usual algorithm for evaluating exchange matrix scales cubically with the…

强关联电子 · 物理学 2022-11-11 Sandeep Sharma , Alec F. White , Gregory Beylkin

We present a study dealing with a novel phase reconstruction method based on iterated Hilbert transform embeddings. We show results for the Stuart-Landau oscillator observed by generic observables. The benefits for reconstruction of the…

数值分析 · 数学 2020-04-29 Erik Gengel , Arkady Pikovsky

Most methods tackling the phase retrieval problem of magnitude-only antenna measurements suffer from unrealistic sampling requirements, from unfeasible computational complexities, and, most severely, from the lacking reliability of…

信号处理 · 电气工程与系统科学 2022-02-01 Alexander Paulus , Josef Knapp , Jonas Kornprobst , Thomas F. Eibert

We present a fast iterative FFT-based reconstruction algorithm that allows for non- parallel redshift-space distortions (RSD). We test our algorithm on both N-body dark matter simulations and mock distributions of galaxies designed to…

宇宙学与河外天体物理 · 物理学 2015-08-17 Angela Burden , Will J. Percival , Cullan Howlett

Spectral interference, the frequency counterpart of the beating phenomenon in the time domain, can severely distort time-frequency representations (TFRs) in physical applications. We study this phenomenon for the short-time Fourier…

经典分析与常微分方程 · 数学 2026-01-19 Shrikant Chand , James Nolen , Hau-Tieng Wu

Phase retrieval is a nonlinear inverse problem that arises in a wide range of imaging modalities, from electron microscopy to Fourier ptychography. In particular, the reconstruction is facilitated when the sensing matrix is i.i.d. random,…

This paper proposes an approach to the joint modeling of the short-time Fourier transform magnitude and phase spectrograms with a deep generative model. We assume that the magnitude follows a Gaussian distribution and the phase follows a…

声音 · 计算机科学 2022-07-18 Aditya Arie Nugraha , Kouhei Sekiguchi , Kazuyoshi Yoshii

This paper considers the problem of recovering a $k$-sparse, $N$-dimensional complex signal from Fourier magnitude measurements. It proposes a Fourier optics setup such that signal recovery up to a global phase factor is possible with very…

信息论 · 计算机科学 2014-10-28 Çağkan Yapar , Volker Pohl , Holger Boche

In this work we present a new single-microphone speech dereverberation algorithm. First, a performance analysis is presented to interpret that algorithms focused on improving solely magnitude or phase are not good enough. Furthermore, we…

声音 · 计算机科学 2022-11-02 Ayal Schwartz , Sharon Gannot , Shlomo E. Chazan

A photonics-based short-time Fourier transform (STFT) system is proposed and experimentally demonstrated based on stimulated Brillouin scattering (SBS) without using high-frequency electronic devices and equipment. The wavelength of a…

光学 · 物理学 2022-12-21 Pengcheng Zuo , Dong Ma , Yang Chen

This study introduces a short-time Fourier transform-based method for reconstructing signals encoded using modulo analog-to-digital converters with 1-bit folding information. In contrast to existing Fourier-based reconstruction approaches…

信号处理 · 电气工程与系统科学 2026-01-14 Neil Irwin Bernardo

The short-time Fourier transform (STFT) provides the foundation of binary-mask based audio source separation approaches. In computing a spectrogram, the STFT window size parameterizes the trade-off between time and frequency resolution.…

声音 · 计算机科学 2015-04-29 Andrew J. R. Simpson

Operating power amplifiers (PAs) at lower input back-off (IBO) levels is an effective way to improve PA efficiency, but often introduces severe nonlinear distortion that degrades transmission performance. Amplitude-phase-time block…

信号处理 · 电气工程与系统科学 2026-05-01 Meidong Xia , Min Fan , Wei Xu , Haiming Wang , Xiaohu You