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In this paper, we investigate the impacts of transmitter and receiver windows on the performance of orthogonal time-frequency space (OTFS) modulation and propose window designs to improve the OTFS channel estimation and data detection…

Information Theory · Computer Science 2020-10-27 Zhiqiang Wei , Weijie Yuan , Shuangyang Li , Jinhong Yuan , Derrick Wing Kwan Ng

This paper addresses the problem of under-determinded speech source separation from multichannel microphone singals, i.e. the convolutive mixtures of multiple sources. The time-domain signals are first transformed to the short-time Fourier…

Sound · Computer Science 2019-04-11 Xiaofei Li , Laurent Girin , Radu Horaud

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…

Gabor analysis is one of the most common instances of time-frequency signal analysis. Choosing a suitable window for the Gabor transform of a signal is often a challenge for practical applications, in particular in audio signal processing.…

Numerical Analysis · Computer Science 2013-11-13 Benjamin Ricaud , Guillaume Stempfel , Bruno Torrésani , Christoph Wiesmeyr , Hélène Lachambre , Darian Onchis

A non-iterative method for the construction of the Short-Time Fourier Transform (STFT) phase from the magnitude is presented. The method is based on the direct relationship between the partial derivatives of the phase and the logarithm of…

Sound · Computer Science 2019-03-27 Zdeněk Průša , Peter Balazs , Peter L. Søndergaard

The synchrosqueezing transform, a kind of reassignment method, aims to sharpen the time-frequency representation and to separate the components of a multicomponent non-stationary signal. In this paper, we consider the short-time Fourier…

Signal Processing · Electrical Eng. & Systems 2019-09-27 Lin Li , Haiyan Cai , Hongxia Han , Qingtang Jiang , Hongbing Ji

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…

Functional Analysis · Mathematics 2024-07-18 Daniel Alpay , Antonino De Martino , Kamal Diki , Daniele C. Struppa

Algorithms for processing data in short-time batches are critical for both online and offline processing of streamed and large data respectively due to the quadratic relation between signal length and computational cost of convolution-based…

Quantum Physics · Physics 2025-04-30 Sreeraj Rajindran Nair , Benjamin Southwell , Christopher Ferrie

In this paper, we address the problem of multichannel speech enhancement in the short-time Fourier transform (STFT) domain. A long short-time memory (LSTM) network takes as input a sequence of STFT coefficients associated with a frequency…

Sound · Computer Science 2020-09-24 Xiaofei LI , Radu Horaud

The joint detection and classification of RF signals has been a critical problem in the field of wideband RF spectrum sensing. Recent advancements in deep learning models have revolutionized this field, remarkably through the application of…

Signal Processing · Electrical Eng. & Systems 2024-08-14 Xiwen Kang , Hua-mei Chen , Genshe Chen , Kuo-Chu Chang , Thomas M. Clemons

In this paper, we investigate the impacts of transmitter and receiver windows on orthogonal time-frequency space (OTFS) modulation and propose a window design to improve the OTFS channel estimation performance. Assuming ideal pulse shaping…

Information Theory · Computer Science 2021-01-29 Zhiqiang Wei , Weijie Yuan , Shuangyang Li , Jinhong Yuan , Derrick Wing Kwan Ng

We study the problem of recovering a signal $x\in\mathbb{C}^N$ from samples of its phaseless periodic short-time Fourier transform (STFT): the magnitude of the Fourier transform of the signal multiplied by a sliding window $w\in…

Information Theory · Computer Science 2022-09-23 Tamir Bendory , Chi-yu Cheng , Dan Edidin

This paper proposes a deep neural network (DNN)-based multi-channel speech enhancement system in which a DNN is trained to maximize the quality of the enhanced time-domain signal. DNN-based multi-channel speech enhancement is often…

Audio and Speech Processing · Electrical Eng. & Systems 2020-02-17 Yoshiki Masuyama , Masahito Togami , Tatsuya Komatsu

The wide deployment of speech-based biometric systems usually demands high-performance speaker recognition algorithms. However, most of the prior works for speaker recognition either process the speech in the frequency domain or time…

Sound · Computer Science 2023-03-08 Jiguo Li , Tianzi Zhang , Xiaobin Liu , Lirong Zheng

Time series forecasting is a long-standing problem in statistics and machine learning. One of the key challenges is processing sequences with long-range dependencies. To that end, a recent line of work applied the short-time Fourier…

Machine Learning · Computer Science 2025-02-28 Eyal Yakir , Dor Tsur , Haim Permuter

Frame-online speech enhancement systems in the short-time Fourier transform (STFT) domain usually have an algorithmic latency equal to the window size due to the use of overlap-add in the inverse STFT (iSTFT). This algorithmic latency…

Sound · Computer Science 2022-07-13 Zhong-Qiu Wang , Shinji Watanabe

This paper proposes an end-to-end approach for single-channel speaker-independent multi-speaker speech separation, where time-frequency (T-F) masking, the short-time Fourier transform (STFT), and its inverse are represented as layers within…

Sound · Computer Science 2018-04-30 Zhong-Qiu Wang , Jonathan Le Roux , DeLiang Wang , John R. Hershey

In this paper, we revisit the use of spectrograms in neural networks, by making the window length a continuous parameter optimizable by gradient descent instead of an empirically tuned integer-valued hyperparameter. The contribution is…

Machine Learning · Computer Science 2022-08-26 Maxime Leiber , Axel Barrau , Yosra Marnissi , Dany Abboud

In this paper, we consider the uniqueness of STFT phase retrieval with two window functions. We show that a complex-valued locally integrable nonseparable signal is uniquely determined up to a global phase by phaseless samples of its short…

Classical Analysis and ODEs · Mathematics 2026-02-06 Ting Chen , Hanwen Lu , Wenchang Sun , Yutong Zhao

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…

Classical Analysis and ODEs · Mathematics 2026-01-19 Shrikant Chand , James Nolen , Hau-Tieng Wu