An Extended Matched Filtering Method to Detect Periodicities in a Rough Grating for Extremely Large Roughness

Abstract

Matched filtering algorithm has beenshown by us to be an effective method to detect hidden periodicities in a rough grating, extending detectability to regimes of higher roughness than was hitherto known. The above matched filtering is further extended here to even `rougher' regimes by introducing a new filtering function Xa(Vx),- demonstrating improved detectability for different wavelength of light.