Title :
Application of atomic functions for construction of new classes of quadrature formulas
Author :
Golubin, M.V. ; Masuk, V.M.
Author_Institution :
Bauman Moscow State Tech. Univ., Russia
Abstract :
Solving of many equations includes a phase of numerical integration using methods of Gaussian type quadrature. It was spread out using an approximation of the function with compact support (e.g. wavelet or atomic function). These functions are used in solving a different kind of problem e.g. for antenna synthesis, for solving a boundary value problem, for filter synthesis, for signal processing, and for image compression . Naturally it computed Gaussian quadrature with weight including the corresponding atomic function. Using these quadratures allows one to reduce computational costs, because one does not need to compute the value of atomic functions, and perhaps to increase the accuracy as compared with traditional Gaussian quadrature
Keywords :
Gaussian distribution; antenna theory; boundary-value problems; data compression; integration; signal processing; Gaussian type quadrature; antenna synthesis; atomic functions; boundary value problem; computational costs; filter synthesis; image compression; numerical integration; quadrature formulas; signal processing; Boundary value problems; Computational efficiency; Equations; Filters; Gaussian processes; Interpolation; Polynomials; Signal processing; Signal synthesis; Zinc;
Conference_Titel :
Physics and Engineering of Millimeter and Sub-Millimeter Waves, 2001. The Fourth International Kharkov Symposium on
Conference_Location :
Kharkov
Print_ISBN :
0-7803-6473-2
DOI :
10.1109/MSMW.2001.946814