ISSN (print) 0914-4935
ISSN (online) 2435-0869
Sensors and Materials
is an international peer-reviewed open access journal to provide a forum for researchers working in multidisciplinary fields of sensing technology.
Sensors and Materials
is covered by Science Citation Index Expanded (Clarivate Analytics), Scopus (Elsevier), and other databases.

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Estimation of Available Phosphorus in Man Interference Zone Based on Fractional Derivative

An-Hong Tian, Cheng-Biao Fu, and Hei-Gang Xiong

(Received February 10, 2019; Accepted December 27, 2019)

Keywords: spectrum dimensionality reduction, fractional order, estimation model, available phosphorus

The fractional derivative has the advantages in terms of memory and globality, and it can overcome the shortcomings of the traditional integer differential algorithm. Moreover, the absorption characteristics of available phosphorus in soil in the visible near-infrared bands are unclear, and the prediction model has low precision. In this paper, we propose a novel method to improve the accuracy of the prediction model for available phosphorus content, which is based on the fractional derivative and stepwise multiple linear regression (SMLR). First of all, the relationship between the soil spectrum and the available phosphorus content under different fractional orders was studied. Secondly, spectrum dimensionality reduction based on sensitive bands was performed. Finally, the SMLR model was adopted to quantitatively predict the available phosphorus content, and the precision of different fractional order models was discussed. Simulation results revealed that the fractional derivative can describe the small differences in spectral data and increase the correlation between the soil spectrum and the available phosphorus content. The 1.4th-order model is the optimum fractional model. Thus, these results indicate that the fractional derivative could improve the accuracy of the estimation model for available phosphorus content.

Corresponding author: Cheng-Biao Fu




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