HAG 发表于 2025-3-21 17:45:13
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Fourier Transforms, Hermite functions, which form an orthogonal basis of ., are eigenfunctions of the Fourier transform. In Sect. 2.3, we present the Poisson summation formula and Shannon’s sampling theorem. Finally, two generalizations of the Fourier transform are sketched in Sect. 2.5, namely the windowed Fourier transform and the fractional Fourier transform.Transfusion 发表于 2025-3-22 04:24:08
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2296-5009 rier analysis.The code of most of the presented algorithms i.This book offers a unified presentation of Fourier theory and corresponding algorithms emerging from new developments in function approximation using Fourier methods...It starts with a detailed discussion of classical Fourier theory to ena有特色 发表于 2025-3-22 11:17:26
Fourier Series,describe the Gibbs phenomenon for partial sums of the Fourier series of . near a jump discontinuity. Finally, in Sect. 1.5, we apply Fourier series in digital signal processing and describe the linear filtering of discrete signals.奇怪 发表于 2025-3-22 13:52:19
Chebyshev Methods and Fast DCT Algorithms,ls, which are given in the orthogonal basis of Chebyshev polynomials. We present fast DCT algorithms in Sect. 6.3. These fast DCT algorithms are based either on the FFT or on the orthogonal factorization of the related cosine matrix.Rotator-Cuff 发表于 2025-3-22 21:02:59
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Gerlind Plonka,Daniel Potts,Gabriele Steidl,Manfred Tascheanalyze the above problems with respect to crisp (exact) parameters...However, in real-lifeapplications such as for biological problems, it is not always possible to get exact values of the associated parameters due to errors in measurements/experiments, observations, and many other errors. Therefor沟通 发表于 2025-3-23 04:08:18
Discrete Fourier Transforms,ier matrix. We show that block circulant matrices can be diagonalized by Kronecker products of Fourier matrices. Finally, Sect. 3.5 addresses real versions of the DFT, such as the discrete cosine transform (DCT) and the discrete sine transform (DST). These linear transforms are generated by orthogon间谍活动 发表于 2025-3-23 08:18:28
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