The reassigned local polynomial periodogram and its properties

This paper defines a reassignment method based on the second-order local polynomial periodogram and investigates its properties with some mathematical proofs. Based on simulation results with various signals, such as parallel and crossed chirps, and parabolic and sinusoidal frequency modulated signals, comparisons with the reassigned spectrogram and smoothed pseudo-Wigner–Ville distribution are made to show the desirable ability of the reassigned local polynomial periodogram for improvement on the signal concentration in the time–frequency domain.