Phase retrieval using a window function

Abstract

The problem considered is that of reconstructing a signal from the Fourier intensity of the signal and the Fourier intensities of two windowed signals: one by a window w(n) and the other by its complementary window (1-w(n)). Several conditions are developed under which a signal can be uniquely specified to within several trivial ambiguities such as sign, translation, and time reversal from the given conditions. A possible reconstruction algorithm derived from the Gerchberg-Saxton algorithm is presented.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>