Optica Acta International Journal of Optics · 1977 · 32 citations · 12 references
Spectral TheoryEngineeringWalsh FunctionsComputational ImagingComputational ElectromagneticsApproximation TheoryImage FormationSynthetic Aperture RadarOptical ImageryMultidimensional Signal ProcessingFourier AnalysisInverse ProblemsAberrational Diffraction ImagesRadarGeometrical OpticOptical Information ProcessingRadar Image ProcessingGeometrical AberrationDiffractive Optic
Walsh functions provide a viable and interesting tool in the treatment of problems of optical imagery. A reformulation of Walsh functions in polar coordinates facilitates the analysis which is presented, along with a restatement of the basic properties of these functions pertinent to the purpose. Some numerical results of aberrational diffraction images are cited to illustrate the compatibility of the proposed approach.
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Communication in the Presence of Noise
Claude E. Shannon · Proceedings of the IRE · 1949 · 6K citations
Nature · 1916 · 2.6K citations
A Closed Set of Normal Orthogonal Functions
J. L. Walsh · American Journal of Mathematics · 1923 · 961 citations
The diffraction theory of aberrations
E. Wolf · Reports on Progress in Physics · 1951 · 110 citations