Please use this identifier to cite or link to this item:
Type: Artigo de periódico
Title: A frequency criterion for optimal node selection in smoothing with cubic splines
Author: Schleicher, J
Biloti, R
Abstract: When smoothing a function with high-frequency noise by means of optimal cubic splines, it is often not clear how to choose the number of nodes. The more nodes are used, the closer the smoothed function will follow the noisy one. In this work, we show that more nodes mean a better approximation of Fourier coefficients for higher frequencies. Thus, the number of nodes can be determined by specifying a frequency up to which all Fourier coefficients must be preserved and increasing the number of nodes until this criterion is met. A comparison of the corresponding smoothing results with those obtained by filtering using moving average and moving median filters of corresponding length and a low pass with corresponding high-cut frequency shows that optimal cubic splines yield better results as they preserve not only the desired low-frequency band but also important high-frequency characteristics.
Country: Inglaterra
Editor: Blackwell Publishing
Citation: Geophysical Prospecting. Blackwell Publishing, v. 56, n. 2, n. 229, n. 237, 2008.
Rights: fechado
Identifier DOI: 10.1111/j.1365-2478.2007.00663.x
Date Issue: 2008
Appears in Collections:Unicamp - Artigos e Outros Documentos

Files in This Item:
File Description SizeFormat 
WOS000253252900005.pdf2 MBAdobe PDFView/Open

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.