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Wavelet-baseret støjreduktion (soft thresholding)×Fouriertransformation og Spektralanalyse (FFT)×
FagområdeSignalbehandlingSignalbehandling
FamilieMachine learningMachine learning
Oprindelsesår19951965
OphavspersonDavid DonohoJames Cooley & John Tukey (FFT)
TypeNon-parametric signal estimationFrequency-domain decomposition algorithm
Oprindelig kildeDonoho, D. L. (1995). De-noising by soft-thresholding. IEEE Transactions on Information Theory, 41(3), 613–627. DOI ↗Cooley, J. W., & Tukey, J. W. (1965). An algorithm for the machine calculation of complex Fourier series. Mathematics of Computation, 19(90), 297–301. DOI ↗
AliasserWavelet Shrinkage, Donoho-Johnstone Denoising, Soft Thresholding Denoising, Sinyal Gürültü GidermeFast Fourier Transform, Discrete Fourier Transform, Spectral Analysis, Fourier Dönüşümü
Relaterede32
ResuméWavelet signal denoising, introduced by David Donoho in 1995, is a non-parametric technique that removes noise from one-dimensional or multidimensional signals by decomposing them into wavelet coefficients, suppressing small coefficients that likely represent noise via a soft-thresholding operator, and reconstructing a smooth estimate. It is widely used in biomedical signal processing, geophysics, audio engineering, and image analysis where the underlying signal is assumed to be sparse or piecewise smooth.The Fourier Transform decomposes a time-domain signal into its constituent sinusoidal frequencies, revealing the spectral content hidden within complex waveforms. Joseph Fourier introduced the continuous transform in 1822, but the computationally efficient Fast Fourier Transform (FFT) was formalized by James Cooley and John Tukey in 1965. Their landmark algorithm reduced the computational complexity from O(N²) to O(N log N), making large-scale spectral analysis practical across engineering, physics, and data science.
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ScholarGateSammenlign metoder: Signal Denoising · Fourier Transform. Hentet 2026-06-18 fra https://scholargate.app/da/compare