Influence of Fractional Differential on Correlation Coefficient between EC1:5 and Reflectance Spectra of Saline Soil
Table 4
The absolute value of correlation coefficient of each mathematic conversion and the maximal absolute value of correlation coefficient after differential with corresponding order.
Band
Order
Order
Order
ā
505
0.347
0.598
1.4
0.346
0.602
1.6
0.337
0.567
1.6
824
0.274
0.608
2
0.271
0.594
2
0.257
0.529
2
1056
0.271
0.473
1.2
0.269
0.478
1.2
0.256
0.476
1.4
1770
0.235
0.505
1
0.237
0.496
1
0.236
0.503
0.8
1867
0.229
0.610
1.8
0.230
0.595
1.8
0.227
0.504
1.8
2150
0.160
0.555
2
0.161
0.555
2
0.163
0.539
2
2151
0.159
0.6
1.6
0.161
0.605
1.6
0.163
0.591
1.6
2232
0.195
0.511
0.6
0.198
0.502
0.6
0.203
0.45
0.6
2239
0.199
0.568
0.6
0.202
0.569
0.6
0.206
0.543
0.6
2245
0.202
0.506
0.6
0.204
0.51
0.6
0.208
0.518
0.8
2249
0.201
0.577
1.6
0.204
0.572
1.6
0.208
0.540
1.6
2370
0.141
0.39
1
0.141
0.365
1
0.136
0.286
1
2442
0.004
0.492
0.8
0.005
0.457
0.8
0.008
0.327
1
2443
0.002
0.452
0.8
0.003
0.418
0.8
0.006
0.273
0.8
ā
505
0.344
0.598
1.6
0.344
0.598
1.6
0.342
0.496
1.6
824
0.267
0.576
2
0.267
0.576
2
0.277
0.621
2
1056
0.265
0.480
1.4
0.265
0.480
1.4
0.275
0.423
1.4
1770
0.237
0.488
0.8
0.237
0.488
0.8
0.212
0.517
1
1867
0.229
0.572
1.8
0.229
0.572
1.8
0.209
0.570
1.8
2150
0.163
0.552
2
0.163
0.552
2
0.131
0.493
2
2151
0.163
0.605
1.6
0.163
0.605
1.6
0.131
0.504
1.8
2232
0.200
0.490
0.6
0.200
0.490
0.6
0.170
0.511
0.6
2239
0.204
0.565
0.6
0.204
0.565
0.6
0.176
0.472
0.6
2245
0.206
0.508
0.6
0.206
0.508
0.6
0.180
0.371
0.6
2249
0.206
0.564
1.6
0.206
0.564
1.6
0.180
0.578
1.2
2370
0.140
0.338
1
0.140
0.338
1
0.132
0.468
0.8
2442
0.007
0.408
0.8
0.007
0.408
0.8
0.002
0.399
0.8
2443
0.004
0.371
0.8
0.005
0.371
0.8
0.004
0.446
0.6
Note: represents the absolute value of correlation coefficient of each mathematic conversion without differential treatment; represents the maximal absolute value of correlation coefficient after differential.