Some characterizations of Fourier transforms, II
نویسندگان
چکیده
منابع مشابه
On Some Quantum and Analytical Properties of Fractional Fourier Transforms
Fractional Fourier transforms (FrFT) are a natural one-parameter family of unitary transforms that have the ordinary Fourier transform embedded as a special case. In this paper, following the efforts of several authors, we explore the theory and applications of FrFT, from the standpoints of both quantum mechanics and analysis. These include the phase plane interpretation of FrFT, FrFT’s role in...
متن کاملOn Some Block Algorithms for Fast Fourier Transforms
Since the publication of the Cooley-Tukey algorithm a variety of related algorithms for fast Fourier transforms have been suggested by Gentleman/Sande, Stockham, Pease, Johnson/Burrus and others. These algorithms diier mainly in the way they store and access their data. From a numerical point of view, they use splitting which is related to a factorization of the complex Fourier transform matrix...
متن کاملMeasurement of Plain Weave Fabrics Density Using Fourier Transforms
Warp and weft spacing and its coefficient of variation affect the physical properties of fabrics such as fabric hand, frictional and mechanical properties. In this paper the weft and warp spacing and its coefficient of variation for plain weave is calculated using Fourier transforms. Different methods have been used in this work including autocorrelation function. First, two dimensional power s...
متن کاملMeasurement of Plain Weave Fabrics Density Using Fourier Transforms
Warp and weft spacing and its coefficient of variation affect the physical properties of fabrics such as fabric hand, frictional and mechanical properties. In this paper the weft and warp spacing and its coefficient of variation for plain weave is calculated using Fourier transforms. Different methods have been used in this work including autocorrelation function. First, two dimensional power s...
متن کاملFractional Fourier transforms and their optical implementation . II
The linear transform kernel for fractional Fourier transforms is derived. The spatial resolution and the space-bandwidth product for propagation in graded-index media are discussed in direct relation to fractional Fourier transforms, and numerical examples are presented. It is shown how fractional Fourier transforms can be made the basis of generalized spatial filtering systems: Several filters...
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: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1961
ISSN: 0386-2194
DOI: 10.3792/pja/1195523534