Multi-Frequency Phase Retrieval from Noisy Data

    Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review


    The phase retrieval from multi-frequency intensity (power) observations is considered. The object to be reconstructed is complex-valued. A novel algorithm is presented that accomplishes both the object phase (absolute phase) retrieval and denoising for Poissonian and Gaussian measurements. The algorithm is derived from the maximum likelihood formulation with Block Matching 3D (BM3D) sparsity priors. These priors result in two filtering: one in the complex domain for complex-valued multi-frequency object images and another one in the real domain for the object absolute phase. The algorithm is iterative with alternating projections between the object and measurement variables. The simulation experiments are produced for Fourier transform image formation and random phase modulations of the object, then observations are random object diffraction patterns. The simulation results demonstrate the success of the algorithm for reconstruction of the complex phase objects with the high-accuracy performance even for a high dynamic range of the absolute phase and very noisy data.
    Original languageEnglish
    Title of host publication2018 26th European Signal Processing Conference (EUSIPCO)
    Number of pages5
    ISBN (Electronic)978-9-0827-9701-5
    ISBN (Print)978-1-5386-3736-4
    Publication statusPublished - Sept 2018
    Publication typeA4 Article in conference proceedings
    EventEuropean Signal Processing Conference -
    Duration: 1 Jan 1900 → …

    Publication series

    ISSN (Electronic)2076-1465


    ConferenceEuropean Signal Processing Conference
    Period1/01/00 → …


    • Fourier transforms
    • image denoising
    • image matching
    • image reconstruction
    • image retrieval
    • iterative methods
    • maximum likelihood estimation
    • phase modulation
    • stereo image processing
    • object absolute phase
    • Fourier transform image formation
    • random phase modulations
    • random object diffraction patterns
    • complex phase objects
    • noisy data
    • multifrequency phase retrieval
    • multifrequency intensity observations
    • object phase retrieval
    • maximum likelihood formulation
    • Block Matching 3D sparsity priors
    • BM3D
    • complex domain
    • complex-valued multifrequency object images
    • Noise measurement
    • Signal processing algorithms
    • Image reconstruction
    • Maximum likelihood estimation
    • Minimization
    • Signal processing
    • Optimization

    Publication forum classification

    • Publication forum level 1


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