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Duality theory of $p$-adic Hopf algebras [PDF]
Categories and General Algebraic Structures with Applications, 2021 We show the monoidal functoriality of Schikhof duality, and cultivate new duality theory of $p$-adic Hopf algebras. Through the duality, we introduce two sorts of $p$-adic Pontryagin dualities.
Tomoki Mihara
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Empirical Mode Decomposition-Based Feature Extraction for Environmental Sound Classification
Sensors, 2022 In environment sound classification, log Mel band energies (MBEs) are considered as the most successful and commonly used features for classification. The underlying algorithm, fast Fourier transform (FFT), is valid under certain restrictions.
Ammar Ahmed +3 more
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Improving DFT-Based Image Watermarking Using Particle Swarm Optimization Algorithm
Mathematics, 2021 Robust digital image watermarking is an information security technique that has been widely used to solve several issues related mainly with copyright protection as well as ownership authentication.
Manuel Cedillo-Hernandez +2 more
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Generalized Discrete Fourier Transform With Nonlinear Phase [PDF]
IEEE Transactions on Signal Processing, 2010 Constant modulus transforms like discrete Fourier transform (DFT), Walsh transform, and Gold codes have been successfully used over several decades in several engineering applications, including discrete multi-tone (DMT), orthogonal frequency division multiplexing (OFDM) and code division multiple access (CDMA) communications systems. In this paper, we
Ali N. Akansu, Handan Agirman-Tosun
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Pyrogenic carbon content of Sphagnum peat soils estimated using diffuse reflectance FTIR spectrometry [PDF]
Mires and Peat, 2022 Quantifying historical patterns of fire regimes in peatlands can help contextualise current fire behaviour and aid in planning on ecosystem and landscape scales.
Dominic M. Uhelski +5 more
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Short vector code generation for the discrete Fourier transform [PDF]
Proceedings International Parallel and Distributed Processing Symposium, 2004 In this paper we use a mathematical approach to automatically generate high performance short vector code for the discrete Fourier transform (DFT). We represent the well-known Cooley-Tukey fast Fourier transform in a mathematical notation and formally derive a "short vector variant".
Franz Franchetti, Markus Püschel
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Removal of ‘strip noise’ in radio-echo sounding data using combined wavelet and 2-D DFT filtering
Annals of Glaciology, 2020 Radio-echo sounding (RES) can be used to understand ice-sheet processes, englacial flow structures and bed properties, making it one of the most popular tools in glaciological exploration.
Bangbing Wang +9 more
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More on algebraic properties of the discrete Fourier transform raising and lowering operators★
4 open, 2019 In the present work, we discuss some additional findings concerning algebraic properties of the N-dimensional discrete Fourier transform (DFT) raising and lowering difference operators, recently introduced in [Atakishiyeva MK, Atakishiyev NM (2015), J ...
Atakishiyeva Mesuma K. +2 more
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Energy Reports, 2020 Harmonic detection plays an important role in power quality for grid-tied inverters. Among the various methods, sliding discrete Fourier transform (SDFT) based algorithms have found wide and popular applications due to advantages like simplicity and ...
Dongdong Chen +4 more
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Replica Fourier Transform: Properties and applications
Nuclear Physics B, 2015 The Replica Fourier Transform is the generalization of the discrete Fourier Transform to quantities defined on an ultrametric tree. It finds use in conjunction of the replica method used to study thermodynamics properties of disordered systems such as ...
A. Crisanti, C. De Dominicis
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