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Real-time music tracking systems follow a musical performance and at any time report the current position in a corresponding score. Most existing methods approach this problem exclusively in the audio domain, typically using online time…

Sound · Computer Science 2025-05-09 Silvan Peter , Patricia Hu , Gerhard Widmer

Analytic signals constitute a class of signals that are widely applied in time-frequency analysis such as extracting instantaneous frequency (IF) or phase derivative in the characterization of ultrashort laser pulse. The purpose of this…

Information Theory · Computer Science 2023-04-25 Youfa Li , Hongfei Wang , Deguang Han

In this paper, we consider a method for fast numerical computation of the Fourier transform of a slowly decaying function with given accuracy in given ranges of the frequency. In these decades, some useful formulas for the Fourier transform…

Numerical Analysis · Mathematics 2015-07-28 Ken'ichiro Tanaka

Contemporary data is often supported by an irregular structure, which can be conveniently captured by a graph. Accounting for this graph support is crucial to analyze the data, leading to an area known as graph signal processing (GSP). The…

Information Theory · Computer Science 2017-05-26 Geert Leus , Santiago Segarra , Alejandro Ribeiro , Antonio G. Marques

In this paper, we present a neural network approach for synchronizing audio recordings of human piano performances with their corresponding loosely aligned MIDI files. The task is addressed using a Convolutional Recurrent Neural Network…

Sound · Computer Science 2025-06-30 Sebastian Murgul , Moritz Reiser , Michael Heizmann , Christoph Seibert

One of the major challenges of employing a dual-frequency phase-shifting algorithm for phase retrieval is its sensitivity to noise. Yun et. al [H Yun, B Li, S Zhang. 2017] proposed a dual-frequency method based on the Fourier transform…

Instrumentation and Detectors · Physics 2018-05-23 Minmin Wang , Canlin Zhou , Shuchun Si , Zhenkun Lei , Xiaolei Li , Hui Li , YanJie Li

The electric power transformer is a critical component in electrical distribution networks, and the diagnosis of faults in transformers is an important research area. Frequency Response Analysis (FRA) methods are widely used for analyzing…

Computational Engineering, Finance, and Science · Computer Science 2024-07-01 Guohao Wang

Current approaches in pulse detection use domain transformations so as to concentrate frequency related information that can be distinguishable from noise. In real cases we do not know when the pulse will begin, so we need a time search…

Information Retrieval · Computer Science 2007-05-23 Jaime Gomez , Ignacio Melgar , Juan Seijas

Since the evolution of digital computers, the storage of data has always been in terms of discrete bits that can store values of either 1 or 0. Hence, all computer programs (such as MATLAB), convert any input continuous signal into a…

Signal Processing · Electrical Eng. & Systems 2021-05-07 Omkar Deshpande , Kharanshu Solanki , Sree Pujitha Suribhatla , Sanya Zaveri , Luv Ghodasara

Contemporary field-programmable gate arrays (FPGAs) are predestined for the application of finite impulse response (FIR) filters. Their embedded digital signal processing (DSP) blocks for multiply-accumulate operations enable efficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-13 Philipp Födisch , Artsiom Bryksa , Bert Lange , Wolfgang Enghardt , Peter Kaever

This paper presents a method for large-scale retrieval of piano sheet music images. Our work differs from previous studies on sheet music retrieval in two ways. First, we investigate the problem at a much larger scale than previous studies,…

Computer Vision and Pattern Recognition · Computer Science 2020-07-30 Daniel Yang , TJ Tsai

The demand from industry to produce accurate acceleration measurements down to ever lower frequencies and with ever lower noise is increasing. Different vibration transducers are used today for many different purposes within this area, like…

Signal Processing · Electrical Eng. & Systems 2020-05-20 Henrik Ingerslev , Søren Andresen , Jacob Holm Winther

Of all the characteristics of a violin, those that concern its shape are probably the most important ones, as the violin maker has complete control over them. Contemporary violin making, however, is still based more on tradition than…

Computational Engineering, Finance, and Science · Computer Science 2021-02-09 Sebastian Gonzalez , Davide Salvi , Daniel Baeza , Fabio Antonacci , Augusto Sarti

This paper presents a web application for visualizing the tonality of a piece of music -- the organization of its chords and scales -- at a high level of abstraction and with coordinated playback. The application applies the discrete…

Sound · Computer Science 2022-03-25 Daniel Harasim , Giovanni Affatato , Fabian C. Moss

Time-series analysis is critical for a diversity of applications in science and engineering. By leveraging the strengths of modern gradient descent algorithms, the Fourier transform, multi-resolution analysis, and Bayesian spectral…

Signal Processing · Electrical Eng. & Systems 2021-06-23 Daniel E. Shea , Rajiv Giridharagopal , David S. Ginger , Steven L. Brunton , J. Nathan Kutz

The Five-hundred-meter Aperture Spherical Telescope (FAST) will become one of the world-leading telescopes for pulsar timing array (PTA) research. The primary goals for PTAs are to detect (and subsequently study) ultra-low-frequency…

Instrumentation and Methods for Astrophysics · Physics 2014-07-03 G. Hobbs , S. Dai , R. N. Manchester , R. M. Shannon , M. Kerr , K. J. Lee , R. Xu

The piano soundboard transforms the string vibration into sound and therefore, its vibrations are of primary importance for the sound characteristics of the instrument. An original vibro-acoustical method is presented to isolate the…

Classical Physics · Physics 2013-10-17 Kerem Ege , Xavier Boutillon , Marc Rébillat

Phasor measurement units (PMUs) are widely used for sub-synchronous oscillation monitoring, yet the effect of windowed discrete Fourier transform (DFT)-based phasor estimation on oscillation observability is not fully characterized. This…

Signal Processing · Electrical Eng. & Systems 2026-03-09 Jiahui Yang , Yuru Wu , Haozong Wang , Yu Liu , Biao Sun , Yilu Liu , Clifton Black

Discrete Fourier transform (DFT) is the base of modern signal or information processing. 1-Dimensional fast Fourier transform (1D FFT) and 2D FFT have time complexity O(NlogN) and O(N^2logN) respectively. Quantum 1D and 2D DFT algorithms…

Quantum Physics · Physics 2007-06-19 Chao-Yang Pang , Ben-Qiong Hu

Experiments in Atomic, Molecular, and Optical (AMO) physics require precise and accurate control of digital, analog, and radio frequency (RF) signals. We present a control hardware based on a field programmable gate array (FPGA) core which…

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