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L. Xu, P. Yan and T. Chang, "Phase Information is Richly Contained in the End Point of a Finite Length Digital Signal," Proc. of the IEEE Intl. Symp. on Circuits and Systems, Philadelphia PA, Vol. 3, pp. 851–854, 1987.
A. Papoulis, "A New Algorithm in Spectral Analysis and Bandlimited Extrapolation," IEEE Trans. Circuits Syst., Vol. CAS-22, pp. 735–742, Sept. 1975.
R. W. Gerchberg, "Super-Resolution Trough Error Energy Reduction," Optica Acta, Vol. 21, No. 9, pp. 709–720, 1974.
D. P. Kolba and T. W. Parks, "Optimal Estimation for Bandlimited Signals Including Time Domain Considerations," IEEE Trans. ASSP, Vol. ASSP-31, pp. 113–122, Feb. 1983.
K. Stewart, T. S. Durrani, J. B. Abbiss, "The Effects of Bandwidth Misestimation in Bandlimited Signal Extrapolation," Proceedings of the IEEE Intl. Conference on Acoustics Speech and Signal Processing, pp. 1497–1500, Tampa FL, March 1985.
C. L. Byrne and R. M. Fitzgerald, "Spectral Estimators that Extend the Maximum Entropy and Maximum Likelihood Methods," SIAM J. Appl. Math., Vol. 44, No. 2, pp. 425–442, April 1984.
S. D. Cabredra and T. W. Parks, "Estimation of Sequences in a Signal Class Determined from the Data," Proceedings of the IEEE Intl. Conference on Acoustics Speech and Signal Processing, pp. 1348–1351, Tampa FL, March 1985.
S. D. Cabrera, "Optimal Recovery of Signals from Linear Measurements and Prior Knowledge," Ph. D. Dissertation, Dept. of Electrical and Computer Engneering, Rice University, Houston Texas, May 1985.
A. Aronszajn, "The Theory of Reproducing Kernels," Trans. Amer. Math. Soc., Vol. 68 (1950), pp. 337–404.
D. Luenbeger, Optimization by Vector Space Methods, New York: John Wiley & Sons, 1969.
M. Hayes, "The Reconstruction of a Multidimensional Sequence from the Phase or Magnitude of its Fourier Transform," IEEE Trans. ASSP, Vol. ASSP-30, No. 2, pp. 140–154, April 1982.
Henry Stark ed., Image Recovery: Theory and Applications, Academic Press Inc., Orlando FL, 1987.
M. Hayes and T. Quatieri, "Recursive Phase Retrieval Using Boundary Conditions," Journal of the Optical Society of America, Vol. 73, No. 11, pp. 1427–1433, Nov. 1983.
J. R. Fienup, "Phase Retrieval Using Boundary Conditions," J. Opt. Soc. Am A: Optics and Image Science, Vol. 3, No. 2, pp. 284–288, Feb. 1986.
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© 1989 Springer-Verlag
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Cabrera, S.D., Chen, C. (1989). Phase retrieval by optimal weighted norm extrapolation. In: Porter, W.A., Kak, S.C. (eds) Advances in Communications and Signal Processing. Lecture Notes in Control and Information Sciences, vol 129. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0042741
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DOI: https://doi.org/10.1007/BFb0042741
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