It is proposed that the time series extracted from moderate resolution imaging spectroradiometer satellite data be modeled as a simple harmonic oscillator with additive colored noise. The colored noise ismodeled with an Ornstein–Uhlenbeck process. The Fourier transform and maximum-likelihood parameter estimation are used to estimate the harmonic and noise parameters of the colored simple harmonic oscillator. Two case studies in South Africa show that reliable class differentiation can be obtained between natural vegetation and settlement land cover types, when using the parameters of the colored simple harmonic oscillator as input features to a classifier. The two case studies were conducted in the Gauteng and Limpopo provinces of South Africa. In the case of the Gauteng case study, we obtained an average for single-band classification, while standard harmonic features only achieved an average. In conclusion, the results obtained from the colored simple harmonic oscillator approach outperformed standard harmonic features and the minimum distance classifier.
Reference:
Grobler, TL, Ackermann, ER, Olivier, JC, Van Zyl, AJ and Kleynhans, W. 2012. Land-cover separability analysis of MODIS time-series data using a combined simple harmonic oscillator and a mean reverting stochastic process. IEEE journal of selected topics in applied earth observations and remote sensing, vol. 5(3), pp 857-866
Grobler, T., Ackermann, E., Olivier, J., Van Zyl, A., & Kleynhans, W. (2012). Land-cover separability analysis of MODIS time-series data using a combined simple harmonic oscillator and a mean reverting stochastic process. http://hdl.handle.net/10204/6043
Grobler, TL, ER Ackermann, JC Olivier, AJ Van Zyl, and W Kleynhans "Land-cover separability analysis of MODIS time-series data using a combined simple harmonic oscillator and a mean reverting stochastic process." (2012) http://hdl.handle.net/10204/6043
Grobler T, Ackermann E, Olivier J, Van Zyl A, Kleynhans W. Land-cover separability analysis of MODIS time-series data using a combined simple harmonic oscillator and a mean reverting stochastic process. 2012; http://hdl.handle.net/10204/6043.
Copyright: 2012 IEEE. Reprinted, with permission, from Grobler, TL, Ackermann, ER, Olivier, JC, Van Zyl, AJ and Kleynhans, W. 2012. Land-cover separability analysis of MODIS time-series data using a combined simple harmonic oscillator and a mean reverting stochastic process. IEEE journal of selected topics in applied earth observations and remote sensing, vol. 5(3), pp 857-866. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of CSIR Information Services' products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.