The expansion of an optical signal into a discrete set of Gaussian beams

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It is shown how an optical signal can be expanded in Gaussian beams. The expansion is essentially the one suggested by Gabor in 1946, when he proposed to expand a signal into a discrete set of properly shifted and modulated Gaussian elementary signals; determining the expansion coefficients, however, seemed difficult, since the set of Gaussian elementary signals is not orthogonal. A set of functions is described, wnich is bi-orthonormal to the set of Gaussian elementary signals; this bi-orthonormality property allows an easy determination of the expansion coefficients.
Originele taal-2Engels
TitelErzeugung und Analyse von Bildern und Strukturen, Informatik-Fachberichte, Band 29, 81. Jahrestagung der Deutsche Gesellschaft für angewandte Optik, Essen, Germany
RedacteurenS.J. Pöppl, H. Platzer
Plaats van productieBerlin
UitgeverijSpringer
Hoofdstuk4
Pagina's23-32
ISBN van elektronische versie978-3-642-67687-1
ISBN van geprinte versie978-3-540-10130-7
DOI's
StatusGepubliceerd - 1980

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  • Citeer dit

    Bastiaans, M. J. (1980). The expansion of an optical signal into a discrete set of Gaussian beams. In S. J. Pöppl, & H. Platzer (editors), Erzeugung und Analyse von Bildern und Strukturen, Informatik-Fachberichte, Band 29, 81. Jahrestagung der Deutsche Gesellschaft für angewandte Optik, Essen, Germany (blz. 23-32). Springer. https://doi.org/10.1007/978-3-642-67687-1_4