Recursive algorithm for phase retrieval in the fractional Fourier transform domain
Wenxiang Cong, Nan‐Xian Chen, Ben–Yuan Gu
Abstract
Wenxiang Cong, Nan‐Xian Chen, Ben–Yuan Gu
Abstract
We first discuss the discrete fractional Fourier transform and present some essential properties. We then propose a recursive algorithm to implement phase retrieval from two intensities in the fractional Fourier transform domain. This approach can significantly simplify computational manipulations and does not need an initial phase estimate compared with conventional iterative algorithms. Simulation results show that this approach can successfully recover the phase from two intensities.
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We first discuss the discrete fractional Fourier transform and present some essential properties. We then propose a recursive algorithm to implement phase retrieval from two intensities in the fractional Fourier transform domain. This approach can significantly simplify computational manipulations and does not need an initial phase estimate compared with conventional iterative algorithms. Simulation results show that this approach can successfully recover the phase from two intensities.
Key concepts: Phase retrieval, Algorithm, Fractional Fourier transform, Fourier transform, Discrete Fourier transform (general), Computer science, Discrete-time Fourier transform, Phase (matter)