Two-dimensional phase retrieval using a window function

This paper considers two-dimensional phase retrieval using a window function. First, we address the uniqueness and reconstruction of a two-dimensional signal from the Fourier intensities of the three signals: the original signal, the signal windowed by a window w(m,n) and the signal windowed by its complementary window w_c(m,n)=1-w(m,n). Then we consider the phase retrieval without a complementary window. We develop conditions under which a signal can be uniquely specified from the Fourier intensities of the original signal and the windowed signal by w(m,n). We also present a reconstruction algorithm