title: Non-stationary component extraction in noisy multicomponent signal using polynomial chirping Fourier transform.
abstract: Inspired by track-before-detection technology in radar, a novel time-frequency transform, namely polynomial chirping Fourier transform (PCFT), is exploited to extract components from noisy multicomponent signal. The PCFT combines advantages of Fourier transform and polynomial chirplet transform to accumulate component energy along a polynomial chirping curve in the time-frequency plane. The particle swarm optimization algorithm is employed to search optimal polynomial parameters with which the PCFT will achieve a most concentrated energy ridge in the time-frequency plane for the target component. The component can be well separated in the polynomial chirping Fourier domain with a narrow-band filter and then reconstructed by inverse PCFT. Furthermore, an iterative procedure, involving parameter estimation, PCFT, filtering and recovery, is introduced to extract components from a noisy multicomponent signal successively. The Simulations and experiments show that the proposed method has better performance in component extraction from noisy multicomponent signal as well as provides more time-frequency details about the analyzed signal than conventional methods.
authors: Air and Missile Defense School, Air Force Engineering University, 710051 Xi'an, China.
authors: Wenlong
authors: W
authors: Lu
authors: Air and Missile Defense School, Air Force Engineering University, 710051 Xi'an, China.
authors: Junwei
authors: J
authors: Xie
authors: Air and Missile Defense School, Air Force Engineering University, 710051 Xi'an, China.
authors: Heming
authors: H
authors: Wang
authors: Air and Missile Defense School, Air Force Engineering University, 710051 Xi'an, China.
authors: Chuan
authors: C
authors: Sheng
keywords: Component extraction; Noisy multicomponent signal; Particle swarm optimization; Polynomial chirping Fourier transform