Adaptive local polynomial Fourier transform

Adaptive local polynomial Fourier transform (ALPFT) is proposed in this paper. For multicomponent FM signals with parallel instantaneous frequencies (IF) the ALPFT is chosen as the local polynomial Fourier transforms (LPFT) which produces maximal concentration measure from a set of the LPFTs. For other forms of the FM signals the ALPFT is determined as a weighted sum of the LPFTs. The weighting coefficients are determined as a function of the concentration measure. The proposed transforms produce highly concentrated time-frequency signal representations.