Hierarchical calculation of cross-correlation functions and its application to SAR range compression

Citation
T. Shirakawa et al., Hierarchical calculation of cross-correlation functions and its application to SAR range compression, ELEC C JP 1, 83(6), 2000, pp. 10-20
Citations number
9
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Information Tecnology & Communication Systems
Journal title
ELECTRONICS AND COMMUNICATIONS IN JAPAN PART I-COMMUNICATIONS
ISSN journal
8756-6621 → ACNP
Volume
83
Issue
6
Year of publication
2000
Pages
10 - 20
Database
ISI
SICI code
8756-6621(2000)83:6<10:HCOCFA>2.0.ZU;2-2
Abstract
This paper proposes a method that calculates the approximate cross-correlat ion between two discrete sequences with high speed. The method is evaluated by applying the idea to range compression in the SAR image reconstruction process. When the sequences are very long, tremendous computation time is r equired, even if the crosscorrelation function is calculated through the fr equency domain. This is a problem when real-time processing is required. In such a case, however, it is often more important to determine the approxim ate value with high speed than to determine precisely the value of the cros s-correlation function. From this viewpoint, this paper proposes a method i n which the wavelet transform is applied to the two sequences, and the corr elation function for the obtained short sequences is defined as an approxim ation to the original correlation function. By forming a hierarchy of wavel et functions, a hierarchy of approximate values is formed according to thei r accuracy. It is also possible, by successively improving the accuracy sta rting from a coarse approximation, to finally obtain the accurate value. Th e algorithm for such an idea is presented. Then, by applying the idea to th e SAR range compression, the proposed method is experimentally evaluated. ( C) 2000 Scripta Technica.