Method and apparatus for the deconvolution of unresolved data

Details Method and apparatus for the deconvolution of unresolved data Method and apparatus for the deconvolution of unresolved data

H - Electricity

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J

H01J 49/26 (2006.01) G06F 17/00 (2006.01) G06F 17/10 (2006.01) G06F 17/15 (2006.01) G06F 17/16 (2006.01) H01J 49/02 (2006.01)

Patent

CA 2094370

The method and apparatus of this invention detects and records a convolved series of impulses, and then mathematically extracts the intensity and position of each impulse using least squares with the constraint that the impulses are spaced with a constant interval and that the instrument's response to a single impulse is known. This constraint allows the expression of the problem in a form which is amenable to rapid solution in a mathematically robust manner that is tolerant to noise.

La présente invention est constituée par une méthode et un appareil servant à détecter et à enregistrer une suite d'impulsions convolutionnées et à extraire mathématiquement l'intensité et la position de chaque impulsion par la méthode des moindres carrés avec la contrainte que l'espacement entre les impulsions est fixe et que la réponse de l'instrument à une impulsion unique est connue. Avec cette contrainte, le problème peut être posé sous une forme qui permet d'obtenir la solution rapidement de façon mathématiquement robuste et insensible au bruit.

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