The Scaled Reassigned Spectrogram with Perfect Localization for Estimation of Gaussian Functions

The reassignment technique is used to increase localization for signal components in the time-frequency representation. The technique gives perfect localization for infinite linear chirp-signals, impulses and constant frequency signals but not for short non-stationary signals. In this paper, a scale...

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Bibliographic Details
Published in:IEEE signal processing letters 2015-01, Vol.22 (1), p.100-104
Main Authors: Hansson-Sandsten, Maria, Brynolfsson, Johan
Format: Article
Language:English
Subjects:
Algorithms
Chirp
Constants
Entropy
Estimates
Fourier transforms
Gaussian
Localization
logon
Matematik
Mathematical model
Mathematics
Natural Sciences
Naturvetenskap
Position (location)
Probability Theory and Statistics
reassignment
Representations
Sannolikhetsteori och statistik
Signal to noise ratio
Spectrogram
Spectrograms
time-frequency
Time-frequency analysis
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Description
Summary:The reassignment technique is used to increase localization for signal components in the time-frequency representation. The technique gives perfect localization for infinite linear chirp-signals, impulses and constant frequency signals but not for short non-stationary signals. In this paper, a scaled reassignment is proposed, based on the spectrogram using a Gaussian window. The resulting reassignment gives perfect localization for a Gaussian function when the window length matches the function length. Based on the scaled reassignment, an algorithm that estimates the Gaussian function length is also proposed.
ISSN:1070-9908
1558-2361
DOI:10.1109/LSP.2014.2350030