Reconstruction Of Non-Minimum Phase Multidimensional Signals Using The Bispectrum

While the bispectrum has been used for the reconstruction of non-minimum phase 1-D signals not much work of a similar nature has been done for multidimensional signals. Here we present a technique for reconstructing 2-D non-minimum phase signals from samples of their bispectra. The reconstruction procedure involves recovering the magnitude of the Fourier transform of the signal from the bispectrum magnitude and its phase from the bispectrum phase. By using the bispectrum the ambiguity regarding phase is considerably removed (up to a linear phase factor) when compared to the spectral factorization approach.