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Algorithms for reconstruction of partially known, bandlimited Fourier transform pairs from noisy data. II. The nonlinear problem of phase retrieval. (English) Zbl 0577.65132
[For part I see ibid. 9, 49-76 (1985; reviewed above).]
By considering phase retrieval as a nonlinear extension of the linear problem of inversion of the finite Fourier transform from noisy data, a generalization of the Gerschberg-Saxton algorithm is studied. A number of second order algorithms is then developed. Numerical results showing the application of the various algorithms to each of the model phase retrieval problems are also studied.
Reviewer: C.L.Koul

MSC:
65T40 Numerical methods for trigonometric approximation and interpolation
65R10 Numerical methods for integral transforms
42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
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