In:
International Journal of Wavelets, Multiresolution and Information Processing, World Scientific Pub Co Pte Ltd, Vol. 10, No. 03 ( 2012-05), p. 1250028-
Abstract:
We present a new criterion based on instantaneous frequency (IF) to distinguish mono-components (MCs). We first notice that the "offset of local extremum" caused by low-frequency envelope is often significant on envelope extraction, which determines the calculation of IF for MCs. We estimate the upper and lower bounds of the offset for a general family of signals. Conducted by the offset estimation, we propose a direct and effective algorithm to calculate IF. Our algorithm, which is based on an empirical pursuit of knots and natural splines, provides an accurate estimation of the envelope and derives a well-behaved IF. A theoretical explanation for the good approximation of proposed envelope is also stated. Experiment results show the fast convergence of our algorithm, which leads to a reliable IF and local mean to provide a flexible criterion for MC classification. We emphasize that it is important to pursue a certain balance among different requirements to define MC depending on specific applications.
Type of Medium:
Online Resource
ISSN:
0219-6913
,
1793-690X
DOI:
10.1142/S0219691312500282
Language:
English
Publisher:
World Scientific Pub Co Pte Ltd
Publication Date:
2012
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