Abstract
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.
Keywords
Chirp
Estimator
Algorithm
Mathematics
Estimation theory
Fourier transform
Signal processing
Applied mathematics
Computer science
Mathematical analysis
Radar
Statistics
Physics
Optics
Telecommunications
Subject Areas
Mathematical Analysis and Transform Methods
·Applied Mathematics ·Physical Sciences
Image and Signal Denoising Methods
·Computer Vision and Pattern Recognition ·Physical Sciences
Machine Fault Diagnosis Techniques
·Control and Systems Engineering ·Physical Sciences
Citations by Year
2017: 1
2018: 6
2019: 8
2020: 7
2021: 6
2022: 9
2023: 12
2024: 9
2025: 5
2026: 1
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