Signal Reconstruction From Fourier Transform Amplitude

Patrick L. Van Hove; Jae S. Lim; Alan V. Oppenheim

doi:10.1117/12.965968

17 March 1983 Signal Reconstruction From Fourier Transform Amplitude

Patrick L. Van Hove, Jae S. Lim, Alan V. Oppenheim

Proceedings Volume 0359, Applications of Digital Image Processing IV; (1983) https://doi.org/10.1117/12.965968
Event: 26th Annual Technical Symposium, 1982, San Diego, United States

Abstract

In this paper, we show that a one-dimensional or multi-dimensional sequence is uniquely specified under mild restrictions by its Fourier transform amplitude (magnitude and one bit of phase information). In addition, we develop a numerical algorithm to reconstruct a one-dimensional or multi-dimensional sequence from its Fourier transform amplitude. Reconstruction examples obtained using this algorithm are also provided.

Citation Download Citation

Patrick L. Van Hove, Jae S. Lim, and Alan V. Oppenheim "Signal Reconstruction From Fourier Transform Amplitude", Proc. SPIE 0359, Applications of Digital Image Processing IV, (17 March 1983); https://doi.org/10.1117/12.965968

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