On the Estimation of LFM Signal Parameters: Analytical Formulation

We propose analytical formulations, approximations, upper and lower bounds for the angle sweep of maximum magnitude of fractional Fourier transform of mono- and multicomponent linear frequency modulated (LFM) signals. We employ a successive coarse-to-fine grid-search algorithm to estimate the chirp...

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Bibliographic Details
Published in:IEEE transactions on aerospace and electronic systems 2018-04, Vol.54 (2), p.848-860
Main Author: Serbes, Ahmet
Format: Article
Language:English
Subjects:
Chirp
Chirp rate
Computational complexity
Computer simulation
Formulations
Fourier transforms
fractional Fourier transform (FrFT)
Kernel
LFM parameter estimation
linear frequency modulated (LFM) signals
Lower bounds
multicomponent LFM signal parameters
Parameter estimation
Search algorithms
Time-frequency analysis
time–frequency
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Summary:We propose analytical formulations, approximations, upper and lower bounds for the angle sweep of maximum magnitude of fractional Fourier transform of mono- and multicomponent linear frequency modulated (LFM) signals. We employ a successive coarse-to-fine grid-search algorithm to estimate the chirp rates of multicomponent nonseparable LFM signals. Extensive numerical simulations show the validity of analytical formulations and performance of the proposed estimator. Obtained analytical results may also find themselves other application areas, where nonstationary signals are of interest.
ISSN:0018-9251
1557-9603
DOI:10.1109/TAES.2017.2767978