Noniterative techniques for minimum phase signal reconstruction from phase or magnitude

New noniterative techniques are proposed for reconstruction of signal from samples of magnitude or phase of the Fourier transform of the signal. The only condition for reconstruction is that the signal is a minimum phase one. The basis for these new techniques is the relation between the magnitude and phase functions through cepstral coefficients The techniques are illustrated through several examples. In all the cases we find that phase from magnitude can be obtained exactly and magnitude from phase can be obtained to within a scale factor. Effects of truncation of minimum phase signals and aliasing due to sampling in the frequency domain are discussed. These studies show that effective noniterative techniques can be evolved for signal reconstruction instead of cumbersome iterative procedures suggested in literature recently.