Application of basic splines for sampling multidimensional signals of finite duration
- 21 Downloads
We investigate limitations of sampling theory for signals with finite spectra, which are particularly prone to appearance during measurements in multidimensional spaces. We present a method for sampling with several arguments, using basic splines. Fourier transforms, and the Parseval equality. We present an example of adaptive optimization of the sampling grid for a magnetic field that is associated with a spectrum of multidimensional signals having fractal similarity.
KeywordsSampling Grid Basic Spline Finite Duration Adaptive Optimization Multidimensional Signal
Unable to display preview. Download preview PDF.
- 1.A. Jerry,TIIÉR, No. 11, 53 (1977).Google Scholar
- 3.Yu. S. Zav'yalov, B. I. Kvasov, and V. L. Miroshnichenko,Spline Methods [in Russian], Nauka, Moscow (1980).Google Scholar
- 4.G. I. Marchuk and V. I. Agoshkov,Introduction to Grid Design Methods [in Russian], Nauka, Moscow (1981).Google Scholar
- 5.Ya. I. Khurgin and V. P. Yakovlev,Finite Functions in Physics and Engineering [in Russian], Nauka, Moscow (1981).Google Scholar