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Time-frequency distributions have been used to provide high resolution representation in a large number of signal processing applications. However, high resolution and accurate instantaneous frequency (IF) estimation usually depend on the…

Information Theory · Computer Science 2015-03-02 Irena Orovic , Andjela Draganic , Srdjan Stankovic

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

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

This contribution is a follow-up of a recent paper by the authors on adaptive, non-linear time-frequency transforms, focusing on the STFT based transforms. The adaptivity is provided by a focus function, that depends on the analyzed…

Classical Analysis and ODEs · Mathematics 2025-06-11 Pierre Warion , Bruno Torrésani

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

Extracting features from the speech is the most critical process in speech signal processing. Mel Frequency Cepstral Coefficients (MFCC) are the most widely used features in the majority of the speaker and speech recognition applications,…

Sound · Computer Science 2025-10-31 Rinku Sebastian , Simon O'Keefe , Martin Trefzer

Digital Transforms have important applications on subjects such as channel coding, cryptography and digital signal processing. In this paper, two Fourier Transforms are considered, the discrete time Fourier transform (DTFT) and the finite…

In this technical communique, we propose a novel observer-based adaptive scheme to deal with the parameter estimation problem of biased sinusoidal signals. Different from the existing adaptive frequency estimation scheme, the proposed…

Dynamical Systems · Mathematics 2020-12-29 Shang Shi , Huifang Min , Shihong Ding

Frequency to time mapping is a powerful technique for observing ultrafast phenomena and non-repetitive events in optics. However, many optical sources operate in wavelength regions, or at power levels, that are not compatible with standard…

Optics · Physics 2019-09-04 Yiqing Xu , Stuart G. Murdoch

Integrate-and-fire time encoding machines (IF-TEMs) provide an efficient framework for asynchronous sampling of bandlimited signals through discrete firing times. However, conventional IF-TEMs often exhibit excessive oversampling, leading…

Signal Processing · Electrical Eng. & Systems 2025-11-13 Anshu Arora , Kaluguri Yashaswini , Satish Mulleti

Wavelet Transforms are a widely used technique for decomposing a signal into coefficient vectors that correspond to distinct frequency/scale bands while retaining time localization. This property enables an adaptive analysis of signals at…

Applications · Statistics 2025-11-05 Jack Kissell , Vijini Lakmini , Brani Vidakovic

In the present paper we have reported a wavelet based time-frequency multiresolution analysis of an ECG signal. The ECG (electrocardiogram), which records hearts electrical activity, is able to provide with useful information about the type…

Computational Engineering, Finance, and Science · Computer Science 2013-11-26 Swapnil Barmase , Saurav Das , Sabyasachi Mukhopadhyay

We introduce a new method for estimating the Ideal Time-Frequency Representation (ITFR) of complex nonstationary signals. The Reconstructive Ideal Fractional Transform (RIFT) computes a constellation of Continuous Fractional Wavelet…

Audio and Speech Processing · Electrical Eng. & Systems 2026-04-03 James M. Cozens , Simon J. Godsill

Aggregation of multi-stage features has been revealed to play a significant role in semantic segmentation. Unlike previous methods employing point-wise summation or concatenation for feature aggregation, this study proposes the Category…

Computer Vision and Pattern Recognition · Computer Science 2023-08-11 Quan Tang , Chuanjian Liu , Fagui Liu , Yifan Liu , Jun Jiang , Bowen Zhang , Kai Han , Yunhe Wang

Communication efficiency is a widely recognised research problem in Federated Learning (FL), with recent work focused on developing techniques for efficient compression, distribution and aggregation of model parameters between clients and…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-10 Chamath Palihawadana , Nirmalie Wiratunga , Anjana Wijekoon , Harsha Kalutarage

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

We describe a method for analyzing the phase space structures of Hamiltonian systems. This method is based on a time-frequency decomposition of a trajectory using wavelets. The ridges of the time-frequency landscape of a trajectory, also…

Chaotic Dynamics · Physics 2009-11-07 C. Chandre , S. Wiggins , T. Uzer

The short-time Fourier transform (STFT) is widely used for analyzing non-stationary signals. However, its performance is highly sensitive to its parameters, and manual or heuristic tuning often yields suboptimal results. To overcome this…

Sound · Computer Science 2025-06-27 Maxime Leiber , Yosra Marnissi , Axel Barrau , Sylvain Meignen , Laurent Massoulié

We investigate systematic errors associated with a common modulation technique used for phase sensitive detection of a coherent population trapping (CPT) resonance. In particular, we show that modification of the CPT resonance lineshape due…

Atomic Physics · Physics 2009-11-10 D. F. Phillips , I. Novikova , C. Y. -T. Wang , M. Crescimanno , R. L. Walsworth

The problem of detecting chirps is present in many applications of Signal Processing. Proper denoising, which involves filtering the signals after their acquisition, improves the efficacy of their detection. This manuscript describes how a…

Computational Engineering, Finance, and Science · Computer Science 2023-05-24 Alejandro Silva