Liming Zhang
Adaptive Fourier Decomposition Based Signal Instantaneous Frequency Computation Approach
1117 - 1122
2012
6
8
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/2536
https://publications.waset.org/vol/68
World Academy of Science, Engineering and Technology
There have been different approaches to compute the
analytic instantaneous frequency with a variety of background reasoning
and applicability in practice, as well as restrictions. This paper presents an adaptive Fourier decomposition and (αcounting) based
instantaneous frequency computation approach. The adaptive Fourier
decomposition is a recently proposed new signal decomposition
approach. The instantaneous frequency can be computed through the so called monocomponents decomposed by it. Due to the fast energy
convergency, the highest frequency of the signal will be discarded by the adaptive Fourier decomposition, which represents the noise of
the signal in most of the situation. A new instantaneous frequency
definition for a large class of socalled simple waves is also proposed
in this paper. Simple wave contains a wide range of signals for which
the concept instantaneous frequency has a perfect physical sense.
The αcounting instantaneous frequency can be used to compute the highest frequency for a signal. Combination of these two approaches one can obtain the IFs of the whole signal. An experiment is demonstrated the computation procedure with promising results.
Open Science Index 68, 2012