17 October 2013 Bartlett algorithm modification for energy spectrum assessment of optical radiation
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This research is conducted in order to develop a spectral device for instant remote sensing. The spectral device should process radiation from sources, direct contact with radiation of which is either impossible or undesirable. In proposed spectral device optical radiation is guided out of unfavorable environment via a piece of optical fiber with high negative dispersion. Dispersion properties of optical fiber allow using it as a key element of proposed spectral device. In this paper stationary in time optical radiation energy spectrum assessment is proposed using a modified Bartlett algorithm. Original Bartlett algorithm is based on power sample spectrum calculation on the series of following samples with duty cycle Q=1. Bartlett algorithm modification is a significant increase in duty cycle (Q>>1) of stationary process samples. Proposed algorithm is to be realized basing on complex sample spectra calculation using a piece of optical fiber as a dispersive system. Dispersion properties application to acquire sample optical spectra causes that time function of a single sample spectrum has much longer duration than the original sample. This is the reason to modify the Bartlett algorithm. Significant increase of duty cycle Q means that separate analyzed radiation samples are uncorrelated in time. This allows considering set of separate samples as an ensemble of N stochastic process realizations. Temporal stationarity condition allows acquiring a big number of sample spectra from a single realization. In this paper we perform mathematical analysis of optical radiation processing using modified Bartlett algorithm. A complex sample spectrum is described as convolution of window spectrum function and complex spectral function of optical radiation. Power spectrum is considered as product of complex spectrum and its complex. Spectral slot of modified Bartlett algorithm matches the spectral slot of original Bartlett algorithm.
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Arseny Zhdanov, Arseny Zhdanov, Oleg Moskaletz, Oleg Moskaletz, "Bartlett algorithm modification for energy spectrum assessment of optical radiation", Proc. SPIE 8892, Image and Signal Processing for Remote Sensing XIX, 88921U (17 October 2013); doi: 10.1117/12.2029056; https://doi.org/10.1117/12.2029056


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