Application of the Fourier transform via Adomian's decomposition method
نویسندگان
چکیده
منابع مشابه
Fast Approximate Fourier Transform via Wavelets Transform
We propose an algorithm that uses the discrete wavelet transform (DWT) as a tool to compute the discrete Fourier transform (DFT). The Cooley-Tukey FFT is shown to be a special case of the proposed algorithm when the wavelets in use are trivial. If no intermediate coeecients are dropped and no approximations are made, the proposed algorithm computes the exact result, and its computational comple...
متن کاملFourier transform interferometer alignment method.
A rapid and convenient method has been developed to facilitate the alignment of the image-plane components of point-diffraction interferometers, including the phase-shifting point-diffraction interferometer. In real time, the Fourier transform of the detected image is used to calculate a pseudoimage of the electric field in the image plane of the test optic where thecritical alignment o f vario...
متن کاملLearning Boolean Functions via the Fourier Transform
We survey learning algorithms that are based on the Fourier Transform representa tion In many cases we simplify the original proofs and integrate the proofs of related results We hope that this would give the reader a complete and comprehensive un derstanding of both the results and the techniques Introduction The importance of using the right representation of a function in order to approximat...
متن کاملQuantum Fast Fourier Transform Viewed as a Special Case of Recursive Application of Cosine-Sine Decomposition
A quantum compiler is a software program for decomposing (“compiling”) an arbitrary unitary matrix into a sequence of elementary operations (SEO). Coppersmith showed that the NB-bit Discrete Fourier Transform matrix UFT can be decomposed in a very efficient way, as a sequence of order(NB ) elementary operations. Can a quantum compiler that doesn’t know a priori about Coppersmith’s decomposition...
متن کاملFourier-transform method of phase-shift determination.
A new phase-shifting interferometry analysis technique has been developed to overcome the errors introduced by nonlinear, irregular, or unknown phase-step increments. In the presence of a spatial carrier frequency, by observation of the phase of the first-order maximum in the Fourier domain, the global phase-step positions can be measured, phase-shifting elements can be calibrated, and the accu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Interpolation and Approximation in Scientific Computing
سال: 2017
ISSN: 2194-3907
DOI: 10.5899/2017/jiasc-00115