Title :
Research of the error of approximation of random process by different basis functions
Author :
Titarenko, Larisa ; Bordyugov, Boris
Author_Institution :
Fac. of Telecommun. Syst., Kharkiv Nat. Univ. of Radioelectron., Ukraine
Abstract :
Different basis functions, their advantages and disadvantages in approximation of random signal have been researched. The dependences for mean square error of correspondence of random signal for transformation of Fourier, Karhunen-Loeve and wavelet basis have been obtained. The comparison analysis has been carried out.
Keywords :
Fourier transforms; Karhunen-Loeve transforms; approximation theory; random processes; wavelet transforms; Fourier transformation; Karhunen-Loeve transformation; different basis functions; mean square error; random processes; random signal approximation; wavelet transformation; Continuous wavelet transforms; Fourier series; Frequency; Image reconstruction; Mean square error methods; Packaging; Shape; Signal processing; Signal resolution; Wavelet coefficients;
Conference_Titel :
Modern Problems of Radio Engineering, Telecommunications and Computer Science, 2004. Proceedings of the International Conference
Conference_Location :
Lviv-Slavsko, Ukraine
Print_ISBN :
966-553-380-0
