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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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Sensing Fractional Power Spectrum of Nonstationary Signals with Coprime Filter Banks
Complexity, 2020 The coprime discrete Fourier transform (DFT) filter banks provide an effective scheme of spectral sensing for wide-sense stationary (WSS) signals in case that the sampling rate is far lower than the Nyquist sampling rate.
Xiaomin Li +3 more
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The Discrete Fourier Transform (DFT) in Behavioural Analysis
Journal of Theoretical Biology, 1994 Abstract Spectral analysis is an important tool for examining time-series data and can be particularly powerful in detecting periodicity in animal behaviour patterns. Because of its simplicity and the speed of current computing algorithms, the discrete Fourier transform is most often used in spectral analysis.
T.G. Forrest, Robert B. Suter
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Four Particular Cases of the Fourier Transform
Mathematics, 2018 In previous studies we used Laurent Schwartz’ theory of distributions to rigorously introduce discretizations and periodizations on tempered distributions.
Jens V. Fischer
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Fast Radix-32 Approximate DFTs for 1024-Beam Digital RF Beamforming
IEEE Access, 2020 The discrete Fourier transform (DFT) is widely employed for multi-beam digital beamforming. The DFT can be efficiently implemented through the use of fast Fourier transform (FFT) algorithms, thus reducing chip area, power consumption, processing time ...
Arjuna Madanayake +8 more
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Comparison of Discrete Cosine Transforms (DCT), Discrete Fourier Transforms (DFT), and Discrete Wavelet Transforms (DWT) in Digital Image Watermarking [PDF]
International Journal of Advanced Computer Science and Applications, 2017 Digital Image Watermarking is used recently to secure the image by embedding another digital image. It is typically used to identify ownership of the copyright of the signal. Frequency domain transformation methods used widely in Digital Image Compression and Digital Image Watermarking.
Rosa A, Reza Agustina, Hidayatulloh -
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Advances in Difference Equations, 2019 For discrete-time iterative learning control systems, the discrete Fourier transform (DFT) is a powerful technique for frequency analysis, and Toeplitz matrices are a typical tool for the system input–output transmission.
Xiaohui Li, Xiaoe Ruan
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Jurnal Sistem Cerdas, 2022 Digital image watermarking is the insertion of watermarks into digital image media. Several types of watermarking methods used are Discrete Cosine Transform (DCT) and Discrete Fourier Transform (DFT). Both of these watermarking methods work in the frequency domain (transform).
null Mukhammad Solikhin +4 more
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Trigonometric Interpolation Using the Discrete Fourier Transform [PDF]
, 2022 The Fourier transform (and all its versions, discrete/continuous/finite/infinite), covers deep and abstract mathematical concepts, and can easily overwhelm with detail.
Ponce Campuzano, Juan Carlos
core
Low-complexity LSMR equalisation of FrFT-based multicarrier systems in doubly dispersive channels [PDF]
, 2011 The discrete fractional Fourier transform (FrFT) has been suggested to enhance performance over DFT-based multicarrier systems when transmitting over doubly-dispersive channels.
Weiss, Stephan +7 more
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