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Everything about Adaptive-additive algorithm

In the studies of Fourier optics, sound synthesis, stellar interferometry, optical tweezers, and diffractive optical elements (DOEs) it is often important to know the spatial frequency phase of an observed wave source. In order to reconstruct this phase the Adaptive-Additive Algorithm, which derives from a group of adaptive (input-output) algorithms, can be used. The AA algorithm is an iterative algorithm that utilizes the Fourier Transform to calculate an unknown part of a propagating wave, normally the spatial frequency phase. This can be done when given the phase’s known counterparts, usually an observed amplitude and an assumed starting amplitude. To find the correct phase the algorithm uses error conversion, or the error between the desired and the theoretical intensities. Wikipedia →

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  1. Read the overview: Adaptive-additive algorithmA 5-minute orientation
  2. Skim a recent paper: Adaptive Data Processing Algorithm in Problems of Measuring Three-Dimensional Geometry by Phase Triangulation Methods under Additive Noise in the PhotodetectorInfluential work since 2022
  3. Pick up a classic book: Introduction to operations researchThe most-reprinted book on the subject
  4. Read the landmark paper: Adaptive algorithm based on least mean p-power error criterion for Fourier analysis in additive noiseCited 35 times
  5. Go sideways: Spectral interferometryA closely related topic
  6. Go sideways: Kernel-phaseA closely related topic

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