Two-dimensional phase retrieval using a window function

Authors:
Wooshik Kim
Affiliations:
Div. of Electron. Inf. & Commun. Eng., Myongji Univ., Kyunggido, South Korea
Venue:
ICASSP '99 Proceedings of the Acoustics, Speech, and Signal Processing, 1999. on 1999 IEEE International Conference - Volume 03
Year:
1999

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Abstract

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/sub 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.