Bispectrum phase transformation for non-minimum phase signal reconstruction

The authors present a Fourier-series-based approach for recovering the phase of a signal from samples of its bispectrum along the ω ₁=ω₂ line in the bispectrum frequency plane. The Fourier series coefficients of the signal phase are recovered from the Fourier series of the bispectrum phase. The implementation of the method is simplified by using the FFT (fast Fourier transform) to compute the Fourier series coefficients. An important advantage of the approach is that while using a finite number of samples of the bispectrum phase, it provides estimates for the phase of the signal at all frequencies. Also there are computational advantages in that the FFT can be used and it may not be necessary to consider a large number of Fourier series coefficients