caa a22 4500 475789695 CHVBK 20180406123708.0 cr unu---uuuuu 170329e20000701xx s 000 0 eng 10.1023/A:1019152308578 doi (NATIONALLICENCE)springer-10.1023/A:1019152308578 Al-Shoshan Abdullah Computer Engineering Department, College of Computer and Information Sciences, King Saud University, P.O. Box 51178, 11543, Riyadh, Saudi Arabia aut Parametric estimation of time-varying components using orthogonal bases [Elektronische Daten] [Abdullah Al-Shoshan] For nonstationary processes, classical frequency estimation methods are incapable of describing and showing the information embedded in the process. That is, because the statistical characteristics (SC) of the nonstationary processes are changing with time, estimation methods based on the stationarity assumption do not reflect this variation. Therefore, the idea of the time-frequency (TF) distribution has been introduced in the literature. Different methods for estimating the TF distribution (TFD) of a nonstationary process have also been proposed in the literature. All of these methods, however, depend on the degree of nonstationarity (DON) of the process, which, although of utmost importance, has not been yet addressed in the literature. In this paper, an algorithm for estimating the time-varying components (TVCs), and hence the TF kernel, of a non-stationary process by using orthogonal projection is proposed. The process is carried out by projecting each component of the process onto an expanding orthogonal basis. The TF kernel is then estimated with an order based on the dimensionality of the expanding orthogonal basis. Some experimental results are presented when the process has either single or multiple TVCs. Kluwer Academic Publishers, 2000 Telecommunication Systems Kluwer Academic Publishers 13/2-4(2000-07-01), 315-330 1018-4864 13:2-4<315 2000 13 11235 https://doi.org/10.1023/A:1019152308578 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1019152308578 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Al-Shoshan Abdullah Computer Engineering Department, College of Computer and Information Sciences, King Saud University, P.O. Box 51178, 11543, Riyadh, Saudi Arabia aut NATIONALLICENCE 773 0- Telecommunication Systems Kluwer Academic Publishers 13/2-4(2000-07-01), 315-330 1018-4864 13:2-4<315 2000 13 11235 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer