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The Fractional Fourier Transform (FRT) corresponds to an arbitrary-angle rotation in the phase space, e.g. the time-frequency (TF) space, and generalizes the fundamentally important Fourier Transform. FRT applications range from classical…

Optics · Physics 2024-03-06 Michał Lipka , Michał Parniak

Nonnegative matrix factorization (NMF) is a popular method for audio spectral unmixing. While NMF is traditionally applied to off-the-shelf time-frequency representations based on the short-time Fourier or Cosine transforms, the ability to…

Machine Learning · Statistics 2018-11-07 Pierre Ablin , Dylan Fagot , Herwig Wendt , Alexandre Gramfort , Cédric Févotte

Fast Fourier convolution (FFC) is the recently proposed neural operator showing promising performance in several computer vision problems. The FFC operator allows employing large receptive field operations within early layers of the neural…

Sound · Computer Science 2022-04-08 Ivan Shchekotov , Pavel Andreev , Oleg Ivanov , Aibek Alanov , Dmitry Vetrov

In this article, we propose an index modulation system suitable for optical communications, based on jointly driving the time and frequency of the signal: an index-time frequency hopping (I-TFH) system. We analyze its performance from the…

Signal Processing · Electrical Eng. & Systems 2020-02-27 Francisco J. Escribano , Alexandre Wagemakers , Georges Kaddoum , Joao V. C. Evangelista

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…

Signal Processing · Electrical Eng. & Systems 2020-03-17 Dong He , Hongrui Cao

Time-frequency analysis (TFA) techniques play an important role in the field of machine fault diagnosis attributing to their superiority in dealing with nonstationary signals. Synchroextracting transform (SET) and transient-extracting…

Signal Processing · Electrical Eng. & Systems 2024-02-09 Yunlong Ma , Gang Yu , Tianran Lin , Qingtang Jiang

This report proposes to discuss the Fourier domain analysis performances of a RESPER probe. A uniform ADC, which is characterized by a sensible phase inaccuracy depending on frequency, is connected to a Fast Fourier Transform (FFT)…

Geophysics · Physics 2010-09-29 Alessandro Settimi

Speech super-resolution (SSR) enhances low-resolution speech by increasing the sampling rate. While most SSR methods focus on magnitude reconstruction, recent research highlights the importance of phase reconstruction for improved…

With the emergence of GAN-based vocoders, the discriminator, as a crucial component, has been developed recently. In our work, we focus on improving the time-frequency based discriminator. Particularly, Short-Time Fourier Transform (STFT)…

Audio and Speech Processing · Electrical Eng. & Systems 2025-12-04 Nan Xu , Zhaolong Huang , Xiao Zeng

Short-time Fourier transform (STFT) is used as the front end of many popular successful monaural speech separation methods, such as deep clustering (DPCL), permutation invariant training (PIT) and their various variants. Since the frequency…

Sound · Computer Science 2019-02-05 Ziqiang Shi , Huibin Lin , Liu Liu , Rujie Liu , Jiqing Han

Time-frequency (TF) representation of non-stationary signals typically requires the effective concentration of energy distribution along the instantaneous frequency (IF) ridge, which exhibits intrinsic sparsity. Inspired by the sparse…

Signal Processing · Electrical Eng. & Systems 2025-01-15 Zongyue Yang , Baoqing Ding , Shibin Wang , Chuang Sun , Xuefeng Chen

This paper proposes an efficient parameterization of the Room Transfer Function (RTF). Typically, the RTF rapidly varies with varying source and receiver positions, hence requires an impractical number of point to point measurements to…

Sound · Computer Science 2015-05-19 Prasanga Samarasinghe , Thushara Abhayapala , Mark Poletti , Terence Betlehem

Recently, end-to-end automatic speech recognition has become the mainstream approach in both industry and academia. To optimize system performance in specific scenarios, the Weighted Finite-State Transducer (WFST) is extensively used to…

Audio and Speech Processing · Electrical Eng. & Systems 2025-01-08 Wei Zhang , Tian-Hao Zhang , Chao Luo , Hui Zhou , Chao Yang , Xinyuan Qian , Xu-Cheng Yin

Time-frequency packing (TFP) transmission provides the highest achievable spectral efficiency with a constrained symbol alphabet and detector complexity. In this work, the application of the TFP technique to fiber-optic systems is…

The fundamental concepts and challenges of orthogonal time frequency space (OTFS) modulation have been reviewed in Part I of this three-part tutorial. In this second part, we provide an overview of the state-of-the-art transceiver designs…

Information Theory · Computer Science 2022-09-13 Shuangyang Li , Weijie Yuan , Zhiqiang Wei , Robert Schober , Giuseppe Caire

Short-time Fourier transform (STFT) is the most common window-based approach for analyzing the spectrotemporal dynamics of time series. To mitigate the effects of high variance on the spectral estimates due to finite-length, independent…

Applications · Statistics 2022-01-19 Andrew H. Song , Seong-Eun Kim , Emery N. Brown

Time-frequency Schmidt (TFS) modes of ultrafast quantum states are naturally compatible with high bit-rate integrated quantum communication networks. Thus they offer an attractive alternative for the realization of high dimensional quantum…

We consider the classical 1D phase retrieval problem. In order to overcome the difficulties associated with phase retrieval from measurements of the Fourier magnitude, we treat recovery from the magnitude of the short-time Fourier transform…

Information Theory · Computer Science 2015-06-23 Yonina C. Eldar , Pavel Sidorenko , Dustin G. Mixon , Shaby Barel , Oren Cohen

We propose a data-driven design method of perfect-reconstruction filterbank (PRFB) for sound-source enhancement (SSE) based on deep neural network (DNN). DNNs have been used to estimate a time-frequency (T-F) mask in the short-time Fourier…

Audio and Speech Processing · Electrical Eng. & Systems 2019-03-22 Daiki Takeuchi , Kohei Yatabe , Yuma Koizumi , Yasuhiro Oikawa , Noboru Harada

Background: Windowed Fourier decompositions (WFD) are widely used in measuring stationary and non-stationary spectral phenomena and in describing pairwise relationships among multiple signals. Although a variety of WFDs see frequent…

Quantitative Methods · Quantitative Biology 2019-01-30 Christopher K. Kovach , Phillip E. Gander