Reconstruction of signals from phase: Efficient algorithms, segmentation, and generalizations

In this paper, we develop several new formulations of the phase-only reconstruction problem which lead to new, efficient algorithms for signal reconstruction. We describe a procedure for approximately reconstructing a long duration signal from short segments. Phase-only blind deconvolution for linear phase filters relies on mirror image symmetry in the filter transfer function H(z). We generalize this deconvolution result to include several other types of symmetries for H(z).