Application of basic splines for sampling multidimensional signals of finite duration
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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
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