On numerical quadrature of Fourier transforms
نویسندگان
چکیده
منابع مشابه
Numerical Quadrature of Fourier Transform
In some cases the function <£(£) or \pik) is given by a closed expression which is too complicated to permit a sufficiently accurate analytic evaluation of the integral for the entire range of the parameter x. In other cases 4>ik) or ^(&) may be available only in numerical form. The conventional methods of numerical quadrature (e.g., Simpson's rule) are not suitable for evaluation of the above ...
متن کاملNumerical Quadrature of Fourier Transform
In some cases the function <£(£) or \pik) is given by a closed expression which is too complicated to permit a sufficiently accurate analytic evaluation of the integral for the entire range of the parameter x. In other cases 4>ik) or ^(&) may be available only in numerical form. The conventional methods of numerical quadrature (e.g., Simpson's rule) are not suitable for evaluation of the above ...
متن کاملOn the numerical quadrature of highly-oscillating integrals I: Fourier transforms
Highly-oscillatory integrals are allegedly difficult to calculate. The main assertion of this paper is that that impression is incorrect. As long as appropriate quadrature methods are used, their accuracy increases when oscillation becomes faster and suitable choice of quadrature points renders this welcome phenomenon more pronounced. We focus our analysis on Filon-type quadrature and analyse i...
متن کاملNumerical stability of nonequispaced fast Fourier transforms
This paper presents some new results on numerical stability for multivariate fast Fourier transform of nonequispaced data (NFFT). In contrast to fast Fourier transform (of equispaced data), the NFFT is an approximate algorithm. In a worst case study, we show that both approximation error and roundoff error have a strong influence on the numerical stability of NFFT. Numerical tests confirm the t...
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 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 Mathematical Analysis and Applications
سال: 1964
ISSN: 0022-247X
DOI: 10.1016/0022-247x(64)90078-2