Results 1 to 10 of about 909,399 (89)
A caveat about applications of the unilateral Fourier transform [PDF]
It is presented a warning about the erroneous use of unilateral Fourier transform with nonhomogeneous Dirichlet or Neumann boundary conditions in a well-known textbook on integral transforms, and also in a few papers recently diffused in the literature.
Antonio S. de Castro
doaj +2 more sources
More on the quantum harmonic oscillator via unilateral Fourier transform [PDF]
The stationary states of the quantum harmonic oscillator are properly determined by means of the unilateral Fourier transform without having to recourse to the properties of the confluent hypergeometric functions. This simpler procedure is reminiscent of
Douglas Willian Vieira+1 more
doaj +1 more source
Quantum Weighted Fractional Fourier Transform
Quantum Fourier transform (QFT) is an important part of many quantum algorithms. However, there are few reports on quantum fractional Fourier transform (QFRFT).
Tieyu Zhao, Tianyu Yang, Yingying Chi
doaj +1 more source
Fourier ptychography algorithm based on scaled Fourier transform
This letter discusses an alternative Fourier ptychography algorithm based on the scaled fast Fourier transform propagation. The advantage of this scheme is that it enables a zoom‐in capability of the object spectrum and complex pupil within the synthetic
Mojde Hasanzade+3 more
doaj +1 more source
Nonlinearizad of Fast Fourier Transform
A unified mathematical form of reversible nonlinear transformations based on a nonlinear tensor product is presented in the form of fast algorithms.
Valeriy Labunets+2 more
doaj +1 more source
Quantum Fourier transform revisited [PDF]
The fast Fourier transform (FFT) is one of the most successful numerical algorithms of the 20th century and has found numerous applications in many branches of computational science and engineering.
Bullock SS+5 more
core +2 more sources
Discrete Fourier transform and permutations [PDF]
It is well known that the magnitudes of the coefficients of the discrete Fourier transform (DFT) are invariant under certain operations on the input data. In this paper, the effects of rearranging the elements of an input data on its DFT are studied.
S. Hui, S.H. Żak
doaj +1 more source
Multiweighted-Type Fractional Fourier Transform: Unitarity
The definition of the discrete fractional Fourier transform (DFRFT) varies, and the multiweighted-type fractional Fourier transform (M-WFRFT) is its extended definition. It is not easy to prove its unitarity.
Tieyu Zhao, Yingying Chi
doaj +1 more source
Low Complexity Keystone Transform and Radon Fourier Transform Utilizing Chirp-Z Transform
Keystone Transform (KT) and Radon Fourier Transform (RFT) are two popular methods proposed to overcome range migration in radars. A major concern in these methods is the computational complexity for real time operations.
Onur Culha, Yalcin Tanik
doaj +1 more source
Coefficient-of-Determination Fourier Transform
This algorithm is designed to perform numerical transforms to convert data from the temporal domain into the spectral domain. This algorithm obtains the spectral magnitude and phase by studying the Coefficient of Determination of a series of artificial ...
Matthew David Marko
doaj +1 more source