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   -> Volume 4, Issue 5


Answer: Frequency Modulation Laws (WD 4.4 #15)
 
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a.bharath@ic.ac.uk
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PostPosted: Tue Dec 03, 2002 11:34 am    
Subject: Answer: Frequency Modulation Laws (WD 4.4 #15)
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Answer: Frequency Modulation Laws (WD 4.4 #15)

In reply to the question from Paulo Seleghim Junior, in Wavelet Digest
Volume 4, no. 4, (Topic 15) on Frequency Modulation Laws, I submit the
following:

The paper by Delprat, Escudie at al, entitled "Asymptotic Wavelet and Gabor
Analysis: Extraction of Instantaneous Frequencies" (IEEE Transactions on
Information Theory), vol 38, no 2, 1992, pp644-664) gives a comprehensive
review and application examples of wavelet scale-space ridges for the
extraction of frequency modulation laws from *asymtotic signals*. You
will find that the stationary phase approximation is appropriate for this
class of signals.

For more information on the stationary phase approximation itself, consult
the text by E. Copson, called Asymptotic Expansions, Chapter 4: "The Method of
Stationary Phase", Cambridge Univ. Press, 1965, pp27-35.

I can also provide a reprint of some work that I did on the subject, published
within the Univ. of London.

Dr. A. A. Bharath
Hayward Lecturer in Medical Imaging
Centre for Biological & Medical Systems
Imperial College, London
Tel: 44-(0)171-594-5183
E-Mail: a.bharath@ic.ac.uk
All times are GMT + 1 Hour
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