PSD data analysis and algorithm development

J. E. Hayden; D. A. Content

doi:10.1117/12.720037

14 May 2007 PSD data analysis and algorithm development

J. E. Hayden, D. A. Content

Proceedings Volume 10316, Optifab 2007: Technical Digest; 103160S (2007) https://doi.org/10.1117/12.720037
Event: Optifab 2007, 2007, Rochester, New York, United States

Abstract

The Technology Demonstration Mirror (TDM) is designed to be a 1.8 m diameter off-axis primary mirror with a highly aspheric surface. This TDM development effort was targeted at demonstrating technology relevant to the chronographic Terrestrial Planet Finder (TPF) mission. A 2D Lorentzian Power Spectral Density (PSD) function was a requirement used for specifying the mid-spatial frequency content, between 0.025 cm^-1 and 0.5 cm^-1, of the interferometricallymeasured TDM. The objective of this study was to develop a 2D PSD algorithm with improved immunity to spatial frequency noise relative to full aperture PSD approaches. The Welch Overlapping Sub Aperture (WOSA) PSD algorithm was identified for its strong variance-reducing characteristics inherent in the averaging of multiple PSDs. Results of this study showed that the variance in the WOSA PSD is roughly an order of magnitude lower than that of the full aperture PSD. The impact of window type, low-frequency pre-filtering, and RMS scale factors on the PSD results are also considered.

Citation Download Citation

J. E. Hayden and D. A. Content "PSD data analysis and algorithm development", Proc. SPIE 10316, Optifab 2007: Technical Digest, 103160S (14 May 2007); https://doi.org/10.1117/12.720037

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