Signal Separation and Synthesis in the Wigner-Ville Distribution Domain with Fractional Fourier Transform
Haitao Cao, Gaoyong Luo · Advances in engineering research/Advances in Engineering Research · 2015
In this paper we propose a new method to separate the composite signal which consist of sinusoidal signals and chirp signal utilizing the time-frequency (TF) window in the Wigner-Ville Distribution (WVD) domain.The signal is reconstructed from the TF domain based on the Wigner Distribution Synthesis (WDS) techniques.An impulse is obtained from linear chirp signal after using Fractional Fourier Transform (FrFT) with an optimal rotate angle in the TF domain.The impulse is windowed to extract chirp signal.Wavelet Shrinkage Denosing (WSD) technique is developed as a preprocessing of original signal to suppress the Gaussian white noise.Simulation results show that the proposed method performs better in terms of separation of sinusoidal signals and chirp signal which overlap in both time and spectra.