S. R. Curtis, A. V. Oppenheim, J. S. Lim, “Signal reconstruction. from Fourier transform signal information,”IEEE Trans. Acoust. Speech and Signal Process. ASSP-33, 643–657 (1985).

[CrossRef]

J. L. C. Sanz, “Mathematical considerations for the problem of Fourier transform phase retrieval from magnitude,” SIAM J. Appl. Math. 45, 651–664 (1985).

[CrossRef]

J. L. C. Sanz, T. S. Huang, “Polynomial system of equations and its applications to the study of the effect of noise on multidimensional Fourier transform phase retrieval,”IEEE Trans. Acoust. Speech Signal Process. ASSP-33, 997–1004 (1985).

[CrossRef]

M. C. Won, D. Mnyama, R. H. T. Bates, “Improving initial phase estimates for phase retrieval algorithms,” Opt. Acta, 32, 377–396 (1985).

[CrossRef]

J. W. Wood, T. J. Hall, M. A. Fiddy, “A comparison study of some computational methods for locating the zeros of entire functions,” Opt. Acta 30, 511–527 (1983).

[CrossRef]

L. S. Taylor, “The phase retrieval problem,”IEEE Trans. Antennas Propag. AP-29, 386–391 (1981).

[CrossRef]

R. H. T. Bates, “On phase problems. II,” Optik 51, 223–234 (1978).

R. H. T. Bates, P. J. Napier, A. E. McKinnon, M. J. McDonnell, “Self-consistent deconvolution. I. Theory; II. Applications,” Optik 44, 183–201, 253–272 (1976).

T. G. Stockham, T. M. Cannon, R. B. Ingebretson, “Blind deconvolution through digital signal processing,” Proc. IEEE 63, 678–692 (1975).

[CrossRef]

M. A. Jenkins, J. F. Traub, “Algorithm 419: zeros of a complex polnomial [C2],” Commun. ACM 15, 97–99 (1972).

[CrossRef]

A. V. Oppenheim, R. W. Schafer, T. G. Stockham, “Nonlinear filtering of multiplied and convolved signals,” Proc. IEEE 56, 1264–1291 (1968).

[CrossRef]

M. C. Won, D. Mnyama, R. H. T. Bates, “Improving initial phase estimates for phase retrieval algorithms,” Opt. Acta, 32, 377–396 (1985).

[CrossRef]

R. H. T. Bates, “On phase problems. II,” Optik 51, 223–234 (1978).

R. H. T. Bates, P. J. Napier, A. E. McKinnon, M. J. McDonnell, “Self-consistent deconvolution. I. Theory; II. Applications,” Optik 44, 183–201, 253–272 (1976).

R. H. T. Bates, M. J. McDonnell, Image Restoration and Reconstruction (Clarendon, Oxford, 1986).

R. G. Lane, W. R. Fright, R. H. T. Bates, “Direct phase retrieval,” IEEE Trans. Acoust. Speech Signal Process. (to be published).

R. H. T. Bates, A. M. Sinton, R. A. Minard, “Generalization of shift-and-add imaging,” in International Conference on Speckle, H. Arsenault, ed., Proc. Soc. Photo-Opt. Instrum. Eng.556, 263–269 (1985).

[CrossRef]

T. G. Stockham, T. M. Cannon, R. B. Ingebretson, “Blind deconvolution through digital signal processing,” Proc. IEEE 63, 678–692 (1975).

[CrossRef]

S. R. Curtis, A. V. Oppenheim, J. S. Lim, “Signal reconstruction. from Fourier transform signal information,”IEEE Trans. Acoust. Speech and Signal Process. ASSP-33, 643–657 (1985).

[CrossRef]

J. W. Wood, T. J. Hall, M. A. Fiddy, “A comparison study of some computational methods for locating the zeros of entire functions,” Opt. Acta 30, 511–527 (1983).

[CrossRef]

R. G. Lane, W. R. Fright, R. H. T. Bates, “Direct phase retrieval,” IEEE Trans. Acoust. Speech Signal Process. (to be published).

J. W. Wood, T. J. Hall, M. A. Fiddy, “A comparison study of some computational methods for locating the zeros of entire functions,” Opt. Acta 30, 511–527 (1983).

[CrossRef]

J. L. C. Sanz, T. S. Huang, “Polynomial system of equations and its applications to the study of the effect of noise on multidimensional Fourier transform phase retrieval,”IEEE Trans. Acoust. Speech Signal Process. ASSP-33, 997–1004 (1985).

[CrossRef]

T. G. Stockham, T. M. Cannon, R. B. Ingebretson, “Blind deconvolution through digital signal processing,” Proc. IEEE 63, 678–692 (1975).

[CrossRef]

D. Izraelevitz, J. S. Lim, “A new algorithm for closed form image reconstruction from Fourier transform magnitude,” in Digest of Topical Meeting on Signal Recovery and Synthesis II (Optical Society of America, Washington, D.C., 1986); I. S. Stefanescu, “On the phase retrieval problem in two dimensions,” J. Math. Phys. 26, 2141–2160 (1985); M. S. Scivier, M. A. Fiddy, “Phase ambiguities and the zeros of multidimensional band-limited functions,” J. Opt. Soc. Am. A 2, 693–697 (1985).

[CrossRef]

M. A. Jenkins, J. F. Traub, “Algorithm 419: zeros of a complex polnomial [C2],” Commun. ACM 15, 97–99 (1972).

[CrossRef]

A. Rosenfeld, A. C. Kak, Digital Picture Processing, 2nd ed. (Academic, New York, 1982), Chap. 7.

R. G. Lane, W. R. Fright, R. H. T. Bates, “Direct phase retrieval,” IEEE Trans. Acoust. Speech Signal Process. (to be published).

S. R. Curtis, A. V. Oppenheim, J. S. Lim, “Signal reconstruction. from Fourier transform signal information,”IEEE Trans. Acoust. Speech and Signal Process. ASSP-33, 643–657 (1985).

[CrossRef]

D. Izraelevitz, J. S. Lim, “A new algorithm for closed form image reconstruction from Fourier transform magnitude,” in Digest of Topical Meeting on Signal Recovery and Synthesis II (Optical Society of America, Washington, D.C., 1986); I. S. Stefanescu, “On the phase retrieval problem in two dimensions,” J. Math. Phys. 26, 2141–2160 (1985); M. S. Scivier, M. A. Fiddy, “Phase ambiguities and the zeros of multidimensional band-limited functions,” J. Opt. Soc. Am. A 2, 693–697 (1985).

[CrossRef]

R. H. T. Bates, P. J. Napier, A. E. McKinnon, M. J. McDonnell, “Self-consistent deconvolution. I. Theory; II. Applications,” Optik 44, 183–201, 253–272 (1976).

R. H. T. Bates, M. J. McDonnell, Image Restoration and Reconstruction (Clarendon, Oxford, 1986).

R. H. T. Bates, P. J. Napier, A. E. McKinnon, M. J. McDonnell, “Self-consistent deconvolution. I. Theory; II. Applications,” Optik 44, 183–201, 253–272 (1976).

R. H. T. Bates, A. M. Sinton, R. A. Minard, “Generalization of shift-and-add imaging,” in International Conference on Speckle, H. Arsenault, ed., Proc. Soc. Photo-Opt. Instrum. Eng.556, 263–269 (1985).

[CrossRef]

M. C. Won, D. Mnyama, R. H. T. Bates, “Improving initial phase estimates for phase retrieval algorithms,” Opt. Acta, 32, 377–396 (1985).

[CrossRef]

R. H. T. Bates, P. J. Napier, A. E. McKinnon, M. J. McDonnell, “Self-consistent deconvolution. I. Theory; II. Applications,” Optik 44, 183–201, 253–272 (1976).

S. R. Curtis, A. V. Oppenheim, J. S. Lim, “Signal reconstruction. from Fourier transform signal information,”IEEE Trans. Acoust. Speech and Signal Process. ASSP-33, 643–657 (1985).

[CrossRef]

A. V. Oppenheim, R. W. Schafer, T. G. Stockham, “Nonlinear filtering of multiplied and convolved signals,” Proc. IEEE 56, 1264–1291 (1968).

[CrossRef]

A. Rosenfeld, A. C. Kak, Digital Picture Processing, 2nd ed. (Academic, New York, 1982), Chap. 7.

J. L. C. Sanz, “Mathematical considerations for the problem of Fourier transform phase retrieval from magnitude,” SIAM J. Appl. Math. 45, 651–664 (1985).

[CrossRef]

J. L. C. Sanz, T. S. Huang, “Polynomial system of equations and its applications to the study of the effect of noise on multidimensional Fourier transform phase retrieval,”IEEE Trans. Acoust. Speech Signal Process. ASSP-33, 997–1004 (1985).

[CrossRef]

A. V. Oppenheim, R. W. Schafer, T. G. Stockham, “Nonlinear filtering of multiplied and convolved signals,” Proc. IEEE 56, 1264–1291 (1968).

[CrossRef]

R. H. T. Bates, A. M. Sinton, R. A. Minard, “Generalization of shift-and-add imaging,” in International Conference on Speckle, H. Arsenault, ed., Proc. Soc. Photo-Opt. Instrum. Eng.556, 263–269 (1985).

[CrossRef]

T. G. Stockham, T. M. Cannon, R. B. Ingebretson, “Blind deconvolution through digital signal processing,” Proc. IEEE 63, 678–692 (1975).

[CrossRef]

A. V. Oppenheim, R. W. Schafer, T. G. Stockham, “Nonlinear filtering of multiplied and convolved signals,” Proc. IEEE 56, 1264–1291 (1968).

[CrossRef]

L. S. Taylor, “The phase retrieval problem,”IEEE Trans. Antennas Propag. AP-29, 386–391 (1981).

[CrossRef]

E. C. Titchmarsh, The Theory of Functions (Clarendon, Oxford, 1986).

M. A. Jenkins, J. F. Traub, “Algorithm 419: zeros of a complex polnomial [C2],” Commun. ACM 15, 97–99 (1972).

[CrossRef]

M. C. Won, D. Mnyama, R. H. T. Bates, “Improving initial phase estimates for phase retrieval algorithms,” Opt. Acta, 32, 377–396 (1985).

[CrossRef]

J. W. Wood, T. J. Hall, M. A. Fiddy, “A comparison study of some computational methods for locating the zeros of entire functions,” Opt. Acta 30, 511–527 (1983).

[CrossRef]

M. A. Jenkins, J. F. Traub, “Algorithm 419: zeros of a complex polnomial [C2],” Commun. ACM 15, 97–99 (1972).

[CrossRef]

S. R. Curtis, A. V. Oppenheim, J. S. Lim, “Signal reconstruction. from Fourier transform signal information,”IEEE Trans. Acoust. Speech and Signal Process. ASSP-33, 643–657 (1985).

[CrossRef]

J. L. C. Sanz, T. S. Huang, “Polynomial system of equations and its applications to the study of the effect of noise on multidimensional Fourier transform phase retrieval,”IEEE Trans. Acoust. Speech Signal Process. ASSP-33, 997–1004 (1985).

[CrossRef]

L. S. Taylor, “The phase retrieval problem,”IEEE Trans. Antennas Propag. AP-29, 386–391 (1981).

[CrossRef]

J. W. Wood, T. J. Hall, M. A. Fiddy, “A comparison study of some computational methods for locating the zeros of entire functions,” Opt. Acta 30, 511–527 (1983).

[CrossRef]

M. C. Won, D. Mnyama, R. H. T. Bates, “Improving initial phase estimates for phase retrieval algorithms,” Opt. Acta, 32, 377–396 (1985).

[CrossRef]

R. H. T. Bates, P. J. Napier, A. E. McKinnon, M. J. McDonnell, “Self-consistent deconvolution. I. Theory; II. Applications,” Optik 44, 183–201, 253–272 (1976).

R. H. T. Bates, “On phase problems. II,” Optik 51, 223–234 (1978).

A. V. Oppenheim, R. W. Schafer, T. G. Stockham, “Nonlinear filtering of multiplied and convolved signals,” Proc. IEEE 56, 1264–1291 (1968).

[CrossRef]

T. G. Stockham, T. M. Cannon, R. B. Ingebretson, “Blind deconvolution through digital signal processing,” Proc. IEEE 63, 678–692 (1975).

[CrossRef]

J. L. C. Sanz, “Mathematical considerations for the problem of Fourier transform phase retrieval from magnitude,” SIAM J. Appl. Math. 45, 651–664 (1985).

[CrossRef]

R. H. T. Bates, M. J. McDonnell, Image Restoration and Reconstruction (Clarendon, Oxford, 1986).

A. Rosenfeld, A. C. Kak, Digital Picture Processing, 2nd ed. (Academic, New York, 1982), Chap. 7.

D. Izraelevitz, J. S. Lim, “A new algorithm for closed form image reconstruction from Fourier transform magnitude,” in Digest of Topical Meeting on Signal Recovery and Synthesis II (Optical Society of America, Washington, D.C., 1986); I. S. Stefanescu, “On the phase retrieval problem in two dimensions,” J. Math. Phys. 26, 2141–2160 (1985); M. S. Scivier, M. A. Fiddy, “Phase ambiguities and the zeros of multidimensional band-limited functions,” J. Opt. Soc. Am. A 2, 693–697 (1985).

[CrossRef]

R. G. Lane, W. R. Fright, R. H. T. Bates, “Direct phase retrieval,” IEEE Trans. Acoust. Speech Signal Process. (to be published).

R. H. T. Bates, A. M. Sinton, R. A. Minard, “Generalization of shift-and-add imaging,” in International Conference on Speckle, H. Arsenault, ed., Proc. Soc. Photo-Opt. Instrum. Eng.556, 263–269 (1985).

[CrossRef]

E. C. Titchmarsh, The Theory of Functions (Clarendon, Oxford, 1986).