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Phase retrieval is in general a non-convex and non-linear task and the corresponding algorithms struggle with the issue of local minima. We consider the case where the measurement samples within typically very small and disconnected subsets…

信号处理 · 电气工程与系统科学 2022-06-28 Jonas Kornprobst , Alexander Paulus , Josef Knapp , Thomas F. Eibert

This paper introduces a novel technique to preserve spectral features in lossy compression based on a novel fast Fourier correction algorithm\added{ for regular-grid data}. Preserving both spatial and frequency representations of data is…

分布式、并行与集群计算 · 计算机科学 2026-01-06 Congrong Ren , Robert Underwood , Sheng Di , Emrecan Kutay , Zarija Lukic , Aylin Yener , Franck Cappello , Hanqi Guo

Phase retrieval(PR) problem is a kind of ill-condition inverse problem which can be found in various of applications. Utilizing the sparse priority, an algorithm called SWF(Sparse Wirtinger Flow) is proposed in this paper to deal with…

信息论 · 计算机科学 2017-04-12 Ziyang Yuan , Qi Wang , Hongxia Wang

Conventional optical coherent receivers capture the full electrical field, including amplitude and phase, of a signal waveform by measuring its interference against a stable continuous-wave local oscillator (LO). In optical coherent…

信号处理 · 电气工程与系统科学 2020-06-24 Haoshuo Chen , Nicolas K. Fontaine , Joan M. Gene , Roland Ryf , David T. Neilson , Gregory Raybon

Speech phase prediction, which is a significant research focus in the field of signal processing, aims to recover speech phase spectra from amplitude-related features. However, existing speech phase prediction methods are constrained to…

声音 · 计算机科学 2023-08-21 Yang Ai , Ye-Xin Lu , Zhen-Hua Ling

The mean squared error (MSE) is a ubiquitous loss function for speech enhancement, but its problem is that the error cannot reflect the auditory perception quality. This is because MSE causes models to over-emphasize low-frequency…

声音 · 计算机科学 2025-11-11 Zixuan Li , Xueliang Zhang , Changjiang Zhao , Shuai Gao , Lei Miao , Zhipeng Yan , Ying Sun , Chong Zhu

We propose a method using a long short-term memory (LSTM) network to estimate the noise power spectral density (PSD) of single-channel audio signals represented in the short time Fourier transform (STFT) domain. An LSTM network common to…

信号处理 · 电气工程与系统科学 2020-11-11 Xiaofei Li , Simon Leglaive , Laurent Girin , Radu Horaud

In this paper, we derive a new reconstruction method for real non-harmonic Fourier sums, i.e., real signals which can be represented as sparse exponential sums of the form $f(t) = \sum_{j=1}^{K} \gamma_{j} \, \cos(2\pi a_{j} t + b_{j})$,…

数值分析 · 数学 2020-11-30 Markus Petz , Gerlind Plonka , Nadiia Derevianko

Speaker separation refers to isolating speech of interest in a multi-talker environment. Most methods apply real-valued Time-Frequency (T-F) masks to the mixture Short-Time Fourier Transform (STFT) to reconstruct the clean speech. Hence…

音频与语音处理 · 电气工程与系统科学 2020-04-16 Zhaoheng Ni , Michael I Mandel

This paper introduces a novel technique for reconstructing the phase of modified spectrograms of audio signals. From the analysis of mixtures of sinusoids we obtain relationships between phases of successive time frames in the…

声音 · 计算机科学 2016-05-25 Paul Magron , Roland Badeau , Bertrand David

Phase retrieval consists in the recovery of an unknown signal from phaseless measurements of its usually complex-valued Fourier transform. Without further assumptions, this problem is notorious to be severe ill posed such that the recovery…

信息论 · 计算机科学 2023-01-19 Robert Beinert , Saghar Rezaei

This paper develops a novel algorithm, termed \emph{SPARse Truncated Amplitude flow} (SPARTA), to reconstruct a sparse signal from a small number of magnitude-only measurements. It deals with what is also known as sparse phase retrieval…

信息论 · 计算机科学 2017-10-31 Gang Wang , Liang Zhang , Georgios B. Giannakis , Mehmet Akcakaya , Jie Chen

Previous speech enhancement methods focus on estimating the short-time spectrum of speech signals due to its short-term stability. However, these methods often only estimate the clean magnitude spectrum and reuse the noisy phase when…

声音 · 计算机科学 2019-10-23 Chuang Geng , Lei Wang

The realm of classical phase retrieval concerns itself with the arduous task of recovering a signal from its Fourier magnitude measurements, which are fraught with inherent ambiguities. A single-exposure intensity measurement is commonly…

计算机视觉与模式识别 · 计算机科学 2023-11-21 Yixiao Yang , Ran Tao , Kaixuan Wei , Jun Shi

Many super-resolution (SR) models are optimized for high performance only and therefore lack efficiency due to large model complexity. As large models are often not practical in real-world applications, we investigate and propose novel loss…

图像与视频处理 · 电气工程与系统科学 2021-06-03 Dario Fuoli , Luc Van Gool , Radu Timofte

In this work we develop an algorithm for signal reconstruction from the magnitude of its Fourier transform in a situation where some (non-zero) parts of the sought signal are known. Although our method does not assume that the known part…

光学 · 物理学 2012-03-06 Eliyahu Osherovich , Michael Zibulevsky , Irad Yavneh

We propose a novel sparse representation for heavily underdetermined multichannel sound mixtures, i.e., with much more sources than microphones. The proposed approach operates in the complex Fourier domain, thus preserving spatial…

声音 · 计算机科学 2014-10-10 Antoine Deleforge , Walter Kellermann

The problem of recovering a signal from the magnitude of its short-time Fourier transform (STFT) is a longstanding one in audio signal processing. Existing approaches rely on heuristics that often perform poorly because of the nonconvexity…

应用统计 · 统计学 2012-09-11 Dennis L. Sun , Julius O. Smith

The phase retrieval problem in the presence of noise aims to recover the signal vector of interest from a set of quadratic measurements with infrequent but arbitrary corruptions, and it plays an important role in many scientific…

机器学习 · 统计学 2024-09-04 Zhong Zheng , Lingzhou Xue

High-throughput computational imaging requires efficient processing algorithms to retrieve multi-dimensional and multi-scale information. In computational phase imaging, phase retrieval (PR) is required to reconstruct both amplitude and…

图像与视频处理 · 电气工程与系统科学 2021-09-15 Xuyang Chang , Liheng Bian , Jun Zhang