Signal reconstruction from the phase of the bispectrum

An iterative algorithm for reconstructing a finite impulse response (FIR) signal from only the phase of its bispectrum is introduced. The algorithm is based on the key observation that the differences of the bicepstrum coefficients contain all the information concerning the phase of the signal, whereas their sums contain the magnitude information. Analysis and simulation examples are presented to demonstrate the algorithm's convergence properties. It is also demonstrated that imposing an energy constraint causes the convergence rate of the algorithm to improve dramatically.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>