NDLI: Quantitative Performance Analysis of Scalogram as Instantaneous Frequency Estimator

Content Provider	IEEE Xplore Digital Library
Author	Sejdic, E. Djurovic, I. Stankovic, L.
Copyright Year	1991
Abstract	Instantaneous frequency (IF) estimation through the estimation of peak locations in the time-frequency plane is an important approach for signals contaminated with additive white Gaussian noise. In this paper, the forementioned analysis is carried out for continuous wavelet transform. The analysis of the scalogram as the instantaneous frequency estimator is performed for any FM signal regardless of the mother wavelet. Accurate expressions for the bias and the variance of the estimator are derived, and reveal that the bias and the variance are signal dependent. Results are statistically confirmed through the numerical analysis for several mother wavelets, and among considered wavelets, the Morlet wavelet produces the smallest estimation error. Furthermore, the performance of the IF estimator based on the scalogram and the spectrogram were compared through analysis of mean square error. These results showed that the scalogram with the Morlet wavelet exhibited good performance for the sample linear FM signal and the sample hyperbolic FM signal in comparison to the spectrogram.
Sponsorship	IEEE Signal Processing Society
Starting Page	3837
Ending Page	3845
Page Count	9
File Size	455813
File Format	PDF
ISSN	1053587X
Volume Number	56
Issue Number	8
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-08-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Frequency estimation Performance analysis Wavelet analysis Continuous wavelet transforms Spectrogram Time frequency analysis Additive white noise Wavelet transforms Signal analysis Numerical analysis wavelet transformation Instantaneous frequency (IF) estimation scalogram instantaneous frequency estimation Wavelet transformation
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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