Abstract
Frequency modulation (FM) signal is widely used in the sonar, radar, laser and newly developed optics cross-research fields, its compactness (or sparsity) plays an important role in the FM signal sampling, reconstruction, compression and denoising. This paper is devoted to studying the compactness of FM signal, a minimum ℓp- norm method (MPNM) is proposed to estimate the compactness of FM signal in the fractional Fourier transform (FRFT) domain. Compared with the existing methods, the compact FRFT domain of FM signal obtained by this method has better sparsity. Furthermore, the proposed method is successfully applied to the denoising of linear FM signal.
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