干旱区生态环境知识资源中心(Arid): Impact of Fractional Calculus on Correlation Coefficient between Available Potassium and Spectrum Data in Ground Hyperspectral and Landsat 8 Image

Arid

DOI	10.3390/math7060488
	Impact of Fractional Calculus on Correlation Coefficient between Available Potassium and Spectrum Data in Ground Hyperspectral and Landsat 8 Image
	Fu, Chengbiao 1,2; Gan, Shu 1; Yuan, Xiping 1; Xiong, Heigang3 ; Tian, Anhong 1,2
通讯作者	Gan, Shu
来源期刊	MATHEMATICS
EISSN	2227-7390
出版年	2019
卷号	7 期号:6
英文摘要	As the level of potassium can interfere with the normal circulation process of biosphere materials, the available potassium is an important index to measure the ability of soil to supply potassium to crops. There are rarely studies on the inversion of available potassium content using ground hyperspectral remote sensing and Landsat 8 multispectral satellite data. Pretreatment of saline soil field hyperspectral data based on fractional differential has rarely been reported, and the corresponding relationship between spectrum and available potassium content has not yet been reported. Because traditional integer-order differential preprocessing methods ignore important spectral information at fractional-order, it is easy to reduce the accuracy of inversion model. This paper explores spectral preprocessing effect based on Grunwald-Letnikov fractional differential (order interval is 0.2) between zero-order and second-order. Field spectra of saline soil were collected in Fukang City of Xinjiang. The maximum absolute of correlation coefficient between ground hyperspectral reflectance and available potassium content for five mathematical transformations appears in the fractional-order. We also studied the tendency of correlation coefficient under different fractional-order based on seven bands corresponding to the Landsat 8 image. We found that fractional derivative can significantly improve the correlation, and the maximum absolute of correlation coefficient under five spectral transformations is in Band 2, which is 0.715766 for the band at 467 nm. This study deeply mined the potential information of spectra and made up for the gap of fractional differential for field hyperspectral data, providing a new perspective for field hyperspectral technology to monitor the content of soil available potassium.
英文关键词	field spectrum fractional calculus desert soil available potassium correlation analysis
类型	Article
语种	英语
国家	Peoples R China
开放获取类型	gold, Green Submitted
收录类别	SCI-E
WOS记录号	WOS:000475299100004
WOS关键词	INFRARED SPECTROSCOPY ; ORGANIC-MATTER ; SOIL ; NITROGEN ; MODEL ; NIR ; PHOSPHORUS ; CARBON
WOS类目	Mathematics
WOS研究方向	Mathematics
资源类型	期刊论文
条目标识符	http://119.78.100.177/qdio/handle/2XILL650/217561
作者单位	1.Kunming Univ Sci & Technol, Fac Land Resource Engn, Kunming 650093, Yunnan, Peoples R China; 2.Qujing Normal Univ, Coll Informat Engn, Qujing 655011, Peoples R China; 3.Beijing Union Univ, Coll Appl Arts & Sci, Beijing 100083, Peoples R China
推荐引用方式 GB/T 7714	Fu, Chengbiao,Gan, Shu,Yuan, Xiping,et al. Impact of Fractional Calculus on Correlation Coefficient between Available Potassium and Spectrum Data in Ground Hyperspectral and Landsat 8 Image[J],2019,7(6).
APA	Fu, Chengbiao,Gan, Shu,Yuan, Xiping,Xiong, Heigang,&Tian, Anhong.(2019).Impact of Fractional Calculus on Correlation Coefficient between Available Potassium and Spectrum Data in Ground Hyperspectral and Landsat 8 Image.MATHEMATICS,7(6).
MLA	Fu, Chengbiao,et al."Impact of Fractional Calculus on Correlation Coefficient between Available Potassium and Spectrum Data in Ground Hyperspectral and Landsat 8 Image".MATHEMATICS 7.6(2019).