# 波段集统计的工作原理

• 其中：

Z - 像元值

i, j - 堆叠图层

µ - 图层平均值

N - 像元的数量

k - 表示特定像元

## 示例

### 仅计算平均值

`#               STATISTICS of INDIVIDUAL LAYERS  #   Layer           MIN          MAX          MEAN         STD # ---------------------------------------------------------------        1            1.0000      21.0000       7.8410       4.1690        2            1.0000     128.0000      25.5144      35.8494        3          296.9573    4073.6306    1565.5359     763.9803        4            0.3333     127.5000      51.5314      29.7958 # ===============================================================`

### 对平均值和矩阵均进行了计算

`#               STATISTICS of INDIVIDUAL LAYERS  #   Layer           MIN          MAX          MEAN         STD # ---------------------------------------------------------------        1            1.0000      21.0000       7.8410       4.1690        2            1.0000     128.0000      25.5144      35.8494        3          296.9573    4073.6306    1565.5359     763.9803        4            0.3333     127.5000      51.5314      29.7958 # ===============================================================    #                    COVARIANCE MATRIX  #   Layer            1            2            3            4 # ---------------------------------------------------------------        1           17.3826      16.9320    3177.5947      87.9590        2           16.9320    1285.3096    3117.1753      31.3420        3         3177.5947    3117.1753  583723.0625   16137.9785        4           87.9590      31.3420   16137.9785     887.8751 # ===============================================================   #                    CORRELATION MATRIX  #    Layer            1            2            3            4 # ---------------------------------------------------------------        1            1.0000       0.1133       0.9976       0.7080        2            0.1133       1.0000       0.1138       0.0293        3            0.9976       0.1138       1.0000       0.7089        4            0.7080       0.0293       0.7089       1.0000 # ===============================================================`

## 参考书目

Snedecor, G. W., and W. G. Cochran. 1968. Statistical Methods, 6th ed. Ames, Iowa:The Iowa State University Press.

5/10/2014