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Patent

Fast two dimensional fourier transform device

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TLDR
In this paper, a series of stored images representing sine and cosine components of the Fourier transform is generated to obtain a fast, two-dimensional transform of the image.
Abstract
Two dimensional optical or electrical images are processed through a storage tube designed to yield the correlation function between the input images and stored images. By generating a series of stored images representing sine and cosine components of the Fourier transform, a fast, two-dimensional transform of the image is obtained.

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TL;DR: In this paper, a real-time programmable joint transform optical correlator incorporating a magneto-optic spatial light modulator and a liquid crystal light valve was proposed, where cross correlation between the input functions (signals) are obtained through the inverse Fourier transform of the read out coherent illumination and are subsequently output from the correlator.
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TL;DR: In this paper, a modular pipeline algorithm and architecture for computing discrete Fourier transforms is described, where two pipeline N point {square root}{square root over (N)} point fast Fourier transform modules are combined with a center element.
References
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Patent

Apparatus and methods for deriving in essentially real time continuous electrical representations of the fourier and inverse fourier transform

G Kang
TL;DR: In this paper, an approach for deriving in essentially real-time unweighted and weighted continuous electrical representations of the Fourier transform and/or the inverse-fourier transform of a complex waveform is presented.
Patent

Correlation methods and apparatus utilizing mellin transforms

TL;DR: In this paper, the scale and shift invariant Mellin transform is used for correlation and data is available for determining any scale difference between the input and reference data, and a scale invariant correlation method and apparatus are described.
Patent

Multi-channel optical correlation system

TL;DR: In this paper, a multi-channel optical correlation system employs a light source to illuminate a mask having a plurality of linearly disposed channels, each of which has recorded information defined by variations in opacity along its linear length.