title: Reconstruction of an object from its noisy Fourier modulus: ideal estimate of the object to be reconstructed and a method that attempts to find that estimate.
abstract: In general, the problem of reconstructing an object from its Fourier modulus has no solution when the Fourier modulus is contaminated by noise. Therefore a quasi solution, which we call the ideal estimate of the object to be reconstructed, is defined here based on the concept of territories of the convergence objects of the error-reduction algorithm, and a method that attempts to find that solution is presented. Keeping in mind that the ideal estimate is one of the output-stagnation objects of the hybrid input-output algorithm, we modify the hybrid input-output algorithm so that the output-stagnation objects can be located even when the value of the feedback parameter is not infinitesimally small, and this modified algorithm is combined with the hybrid input-output algorithm itself. The results of computer simulations carried out to test the performance of the proposed method are shown.
authors.affiliation: Department of Electronic Engineering, Kyushu Institute of Technology, 1-1 Sensuicho, Tobata, Kitakyushu, 804-8550, Japan. takajo@elcs.kyutech.ac.jp
authors.forename: H
authors.initials: H
authors.lastname: Takajo
authors.forename: T
authors.initials: T
authors.lastname: Shizuma
authors.forename: T
authors.initials: T
authors.lastname: Takahashi
authors.forename: S
authors.initials: S
authors.lastname: Takahata