Title
Weighted average instantaneous frequency based on adaptive signal decomposition
Abstract
It is often claimed that instantaneous frequency, taken as the derivative of the phase of the signal, is appropriate or meaningful only for mono-component signals, and that for multi-component signals a weighted average of individual instantaneous frequencies should be used. In this paper, we show if a signal is decomposed adaptively and we compute the matching pursuit distribution, then the first conditional spectral moment is exactly the weighted average instantaneous frequency. Two different signals will be analyzed and the above result will be illustrated in practice. j n e t a e t a t z n φ
Year
Venue
Keywords
2005
EUSIPCO
adaptive signal processing,iterative methods,time-frequency analysis,adaptive signal decomposition,conditional spectral moment,matching pursuit distribution,monocomponent signals,multicomponent signal,signal phase,weighted average instantaneous frequency
Field
DocType
ISBN
Frequency domain,Matching pursuit,Mathematical optimization,Algorithm,Time–frequency analysis,Analog signal,Instantaneous phase,Weighted arithmetic mean,Mathematics,Atomic clock,Matching pursuit algorithms
Conference
978-160-4238-21-1
Citations 
PageRank 
References 
2
0.38
6
Authors
3
Name
Order
Citations
PageRank
Ghofrani, S.120.38
Desmond C. McLernon216115.18
A. Ayatollahi312221.87