This PipeOp extracts Fourier coefficients from functional columns.
For more details, see stats::fft(), which is called internally.
Only the one-sided spectrum is returned since the input is real-valued (Oppenheim and Schafer, 2010).
Parameters
The parameters are the parameters inherited from PipeOpTaskPreprocSimple,
as well as the following parameters:
type::character(1)
Which feature to extract from the Fourier coefficients."amplitude"returns the magnitude."phase"returns the phase shift in degrees (values in [-180, 180]). Initial value is"phase".
References
Oppenheim, V A, Schafer, W R (2010). Discrete-Time Signal Processing, 3rd edition. Pearson. ISBN 978-0131988422.
Super classes
mlr3pipelines::PipeOp -> mlr3pipelines::PipeOpTaskPreproc -> mlr3pipelines::PipeOpTaskPreprocSimple -> PipeOpFDAFourier
Methods
PipeOpFDAFourier$new()
Initializes a new instance of this Class.
Usage
PipeOpFDAFourier$new(id = "fda.fourier", param_vals = list())Examples
task = tsk("fuel")
po_fourier = po("fda.fourier")
task_fourier = po_fourier$train(list(task))[[1L]]
task_fourier$data()
#> heatan h2o NIR_fft_phase_1 NIR_fft_phase_2 NIR_fft_phase_3
#> <num> <num> <num> <num> <num>
#> 1: 26.7810 2.3000 0 173.44750 179.85168
#> 2: 27.4720 3.0000 0 116.71370 104.35124
#> 3: 23.8400 2.0002 0 -115.67324 -92.81604
#> 4: 18.1680 1.8500 0 162.03218 72.80728
#> 5: 17.5170 2.3898 0 116.06575 102.32856
#> ---
#> 125: 23.8340 2.1100 0 105.45411 107.83574
#> 126: 11.8050 1.6200 180 93.31335 91.50351
#> 127: 8.8315 1.4200 180 93.24224 91.57622
#> 128: 11.3450 1.4800 0 132.47256 125.13833
#> 129: 28.9940 2.5000 0 -112.11720 -96.22075
#> NIR_fft_phase_4 NIR_fft_phase_5 NIR_fft_phase_6 NIR_fft_phase_7
#> <num> <num> <num> <num>
#> 1: 178.11849 177.79045 -178.94802 174.47297
#> 2: 101.15479 98.24095 96.48967 98.86313
#> 3: -84.19807 -73.92503 -70.59741 -85.33020
#> 4: 70.36161 79.27097 70.11896 75.96298
#> 5: 95.37966 89.10806 84.72215 91.54888
#> ---
#> 125: 101.96792 104.49473 110.73754 116.59146
#> 126: 91.11654 90.73911 89.78588 90.70623
#> 127: 89.92578 88.01634 83.89819 81.62355
#> 128: 111.81659 103.86099 92.64895 81.37822
#> 129: -95.77575 -107.64834 -123.41718 -105.78833
#> NIR_fft_phase_8 NIR_fft_phase_9 NIR_fft_phase_10 NIR_fft_phase_11
#> <num> <num> <num> <num>
#> 1: 172.73437 -153.61187 -152.95941 -165.10968
#> 2: 103.53553 102.99150 103.45602 97.36707
#> 3: -85.73364 -65.44452 -100.24625 -115.28994
#> 4: 75.30619 70.86278 67.49782 53.17977
#> 5: 94.80790 91.46690 88.60239 86.82113
#> ---
#> 125: 114.23316 112.92366 118.46105 123.84853
#> 126: 90.46824 88.44631 86.38097 86.67259
#> 127: 84.24604 84.39934 85.11942 83.61495
#> 128: 73.44821 74.85036 82.04731 74.49771
#> 129: -97.45380 -86.98545 -73.11540 -91.07522
#> NIR_fft_phase_12 NIR_fft_phase_13 NIR_fft_phase_14 NIR_fft_phase_15
#> <num> <num> <num> <num>
#> 1: -165.03333 -175.01656 -169.99402 179.69982
#> 2: 97.44013 84.65771 81.96949 97.31739
#> 3: -123.96085 169.82509 64.84589 -35.28738
#> 4: 56.49614 57.82378 58.50983 45.17721
#> 5: 92.32718 94.08597 92.15116 92.71050
#> ---
#> 125: 122.07680 118.83453 111.76608 105.43068
#> 126: 89.40290 88.07637 86.54696 89.19278
#> 127: 85.71009 87.29893 88.08282 86.22456
#> 128: 73.04738 62.41548 52.31288 61.16729
#> 129: -104.24387 -129.76097 -144.07242 -158.29585
#> NIR_fft_phase_16 NIR_fft_phase_17 NIR_fft_phase_18 NIR_fft_phase_19
#> <num> <num> <num> <num>
#> 1: 178.600872 172.12942 -179.39202 -153.73587
#> 2: 114.521522 99.19947 119.87413 135.56018
#> 3: -107.497989 -144.69542 -145.47113 -170.64634
#> 4: 9.598293 -78.60176 168.77008 135.29596
#> 5: 86.123173 80.54638 69.53938 77.81890
#> ---
#> 125: 123.854831 127.93432 129.75448 116.13075
#> 126: 91.299691 95.43466 96.64136 92.41033
#> 127: 85.564623 86.09575 90.05986 88.02184
#> 128: 52.020140 38.50868 42.46974 66.96264
#> 129: 7.080831 -60.50174 -60.37140 -85.11413
#> NIR_fft_phase_20 NIR_fft_phase_21 NIR_fft_phase_22 NIR_fft_phase_23
#> <num> <num> <num> <num>
#> 1: -143.00813 -150.11777 -163.60535 -170.34202
#> 2: 135.84001 149.55110 177.37471 -177.20239
#> 3: 156.18199 163.78708 154.84105 95.18568
#> 4: 125.45304 117.91981 106.09320 122.76024
#> 5: 82.09379 87.80253 92.83351 84.93801
#> ---
#> 125: 104.49007 92.12109 90.84295 116.66956
#> 126: 90.50364 90.31255 87.73008 90.25271
#> 127: 90.92957 90.62199 91.57202 91.90733
#> 128: 75.98712 64.12148 69.69087 70.20678
#> 129: -52.16048 -79.67477 -108.41878 -124.28681
#> NIR_fft_phase_24 NIR_fft_phase_25 NIR_fft_phase_26 NIR_fft_phase_27
#> <num> <num> <num> <num>
#> 1: -166.79761 -165.39685 -167.04599 171.617602
#> 2: 155.72245 137.69566 175.58665 -166.299000
#> 3: 53.83769 48.44203 35.13092 -8.224618
#> 4: 102.73486 71.73796 57.39450 125.071036
#> 5: 79.48058 119.73741 135.45850 137.721546
#> ---
#> 125: 120.07694 106.55129 88.20245 65.182709
#> 126: 84.51337 84.11182 90.27655 105.062255
#> 127: 99.03068 101.25951 103.77801 102.259658
#> 128: 69.70345 63.23688 92.02002 100.565824
#> 129: -85.72727 -75.31647 -99.19130 -35.015971
#> NIR_fft_phase_28 NIR_fft_phase_29 NIR_fft_phase_30 NIR_fft_phase_31
#> <num> <num> <num> <num>
#> 1: 161.224703 -167.55582 -138.23907 -148.281492
#> 2: -179.244215 176.44324 166.21072 154.390647
#> 3: 119.020427 86.10644 30.98299 -2.817871
#> 4: 110.660682 93.33024 90.23872 100.672834
#> 5: 124.112835 110.13228 118.29310 125.276967
#> ---
#> 125: 43.530501 40.78546 121.87663 107.823079
#> 126: 115.970037 107.21170 104.91807 105.344287
#> 127: 98.297909 95.90867 101.52972 103.194924
#> 128: 84.230558 59.99833 50.61417 89.273846
#> 129: -5.121416 -26.97642 -14.10566 -53.037478
#> NIR_fft_phase_32 NIR_fft_phase_33 NIR_fft_phase_34 NIR_fft_phase_35
#> <num> <num> <num> <num>
#> 1: -160.52015 -158.61230 -163.69779 -178.81535
#> 2: 149.84091 135.63805 145.50568 153.84267
#> 3: -34.35954 -79.67595 -144.68427 131.47458
#> 4: 132.10352 126.78008 108.95004 104.96829
#> 5: 132.71922 132.96308 129.28538 129.64922
#> ---
#> 125: 137.08259 -93.48902 -145.39134 -136.56230
#> 126: 111.33795 113.96656 115.14744 114.44951
#> 127: 106.91388 113.09847 113.03043 107.55403
#> 128: 87.64600 67.98845 61.06251 73.59174
#> 129: -69.62615 -74.26423 -90.05111 -130.95856
#> NIR_fft_phase_36 NIR_fft_phase_37 NIR_fft_phase_38 NIR_fft_phase_39
#> <num> <num> <num> <num>
#> 1: -177.35433 -179.49608 165.55715 131.97320
#> 2: 142.67250 130.13597 110.02292 99.10440
#> 3: 87.26384 41.64354 -32.61645 -39.39151
#> 4: 95.38813 77.64551 16.82048 -132.77401
#> 5: 124.85012 125.75315 122.33869 110.14322
#> ---
#> 125: -158.29058 -175.28217 171.50901 153.15120
#> 126: 119.40983 124.49687 129.69374 128.81725
#> 127: 105.53121 109.86262 120.48368 120.31350
#> 128: 71.56051 69.83229 59.28978 70.23331
#> 129: 164.10175 136.22480 111.09429 86.53299
#> NIR_fft_phase_40 NIR_fft_phase_41 NIR_fft_phase_42 NIR_fft_phase_43
#> <num> <num> <num> <num>
#> 1: 104.93592 34.12455 -56.367718 152.874825
#> 2: 84.99438 62.27805 38.188520 -2.540622
#> 3: 148.03123 73.75881 -8.393329 -63.819646
#> 4: -154.34886 -167.85734 179.550254 163.031505
#> 5: 113.77510 120.95422 130.993951 145.835683
#> ---
#> 125: 146.14777 139.45453 121.531796 121.523624
#> 126: 124.15402 124.90206 119.778357 114.544393
#> 127: 118.49648 118.30808 121.458898 119.199999
#> 128: 88.63098 85.40419 134.388993 140.734451
#> 129: 52.96510 21.49278 -9.652622 -19.256845
#> NIR_fft_phase_44 NIR_fft_phase_45 NIR_fft_phase_46 NIR_fft_phase_47
#> <num> <num> <num> <num>
#> 1: 49.16091 -14.64593 -62.08125 -87.59685
#> 2: -26.48261 -12.43612 -58.20153 -116.37668
#> 3: -97.81415 -134.67020 -151.95734 152.31029
#> 4: 157.03010 148.58955 156.38365 142.87814
#> 5: 150.40733 146.85186 151.82633 140.25443
#> ---
#> 125: 163.10306 155.56810 151.45733 129.05613
#> 126: 116.93926 114.86139 126.54033 131.64658
#> 127: 124.01507 129.48911 129.80706 139.77969
#> 128: 140.91454 140.85661 140.04724 112.97721
#> 129: -43.72056 -68.42115 -70.65943 -112.13157
#> NIR_fft_phase_48 NIR_fft_phase_49 NIR_fft_phase_50 NIR_fft_phase_51
#> <num> <num> <num> <num>
#> 1: -74.03476 -70.02324 -91.74418 -117.35801
#> 2: -153.45919 -148.15530 156.36466 89.38996
#> 3: -147.78544 -150.17433 170.82451 160.38134
#> 4: 152.26184 164.15744 172.91940 164.08309
#> 5: 149.17964 164.74776 153.07013 149.81827
#> ---
#> 125: 109.21578 101.06143 73.36174 43.06520
#> 126: 129.27984 115.69573 113.42184 131.09910
#> 127: 140.97653 142.20945 143.08930 137.66912
#> 128: 124.93690 141.07341 150.36388 140.22571
#> 129: -132.66148 -36.71525 -59.06393 -64.44844
#> NIR_fft_phase_52 NIR_fft_phase_53 NIR_fft_phase_54 NIR_fft_phase_55
#> <num> <num> <num> <num>
#> 1: -155.524218 125.89102 45.60628 27.63819
#> 2: -152.507167 159.98450 125.19001 -167.94577
#> 3: 136.131218 -171.97641 -169.13559 162.03533
#> 4: 147.500917 136.72649 150.04078 148.55418
#> 5: 146.524569 136.89929 140.18130 145.11432
#> ---
#> 125: 4.638984 -37.24409 -74.12306 -93.79020
#> 126: 160.899288 163.97299 146.08649 141.94460
#> 127: 134.662913 131.20172 132.04472 139.93516
#> 128: 138.460694 146.33951 141.01724 121.60325
#> 129: -86.101012 -124.91041 -156.46214 158.16260
#> NIR_fft_phase_56 NIR_fft_phase_57 NIR_fft_phase_58 NIR_fft_phase_59
#> <num> <num> <num> <num>
#> 1: -2.709553 -30.22736 -63.77113 -48.05306
#> 2: -177.912506 136.72945 95.21097 66.64860
#> 3: 153.334883 144.75787 144.72264 168.86875
#> 4: 141.735535 169.58408 165.36319 152.54513
#> 5: 151.229999 162.57567 149.79278 149.78789
#> ---
#> 125: -127.993202 -47.47776 -59.70475 -91.31505
#> 126: 153.243937 148.22248 143.04229 136.15133
#> 127: 137.586540 144.68001 144.94887 149.39400
#> 128: 111.135959 118.69345 123.91983 122.96391
#> 129: 127.142564 104.16209 79.08688 57.05493
#> NIR_fft_phase_60 NIR_fft_phase_61 NIR_fft_phase_62 NIR_fft_phase_63
#> <num> <num> <num> <num>
#> 1: -59.29818 -68.49615 -82.68053 -86.160540
#> 2: 27.18379 -10.82613 -66.52730 -116.575738
#> 3: 171.70865 149.23753 136.57691 113.369821
#> 4: 151.84668 149.85790 146.96022 137.401685
#> 5: 166.50067 174.32485 172.36971 179.975300
#> ---
#> 125: -105.21662 -120.44379 -135.21518 -143.707724
#> 126: 152.45006 146.91594 140.64117 148.385504
#> 127: 143.67174 138.05361 144.93112 144.685252
#> 128: 132.66308 135.11727 145.40312 133.435900
#> 129: 39.21856 55.52137 32.59830 -8.406124
#> NIR_fft_phase_64 NIR_fft_phase_65 NIR_fft_phase_66 NIR_fft_phase_67
#> <num> <num> <num> <num>
#> 1: -85.42985 -15.13083 -42.16833 -71.32274
#> 2: 156.27155 94.78116 48.00431 23.95389
#> 3: 82.65556 72.33356 82.73996 63.88113
#> 4: 150.85814 157.62109 144.72525 130.38813
#> 5: -179.74184 -176.13160 -171.37209 172.82871
#> ---
#> 125: -139.57043 -157.20217 -82.58340 -90.60403
#> 126: 147.83412 148.71496 145.39182 119.21206
#> 127: 140.69046 136.42281 128.23822 122.00367
#> 128: 133.91909 141.94672 168.74788 162.96968
#> 129: -47.29434 -55.95092 -68.04004 -78.51401
#> NIR_fft_phase_68 NIR_fft_phase_69 NIR_fft_phase_70 NIR_fft_phase_71
#> <num> <num> <num> <num>
#> 1: -72.141059 -87.42786 -110.19552 -142.78216
#> 2: 4.997223 26.74644 -16.95906 -74.59470
#> 3: 74.323746 42.74316 34.47777 26.57199
#> 4: 101.307229 130.58012 124.32900 110.66451
#> 5: 149.525644 130.20530 114.05989 164.87662
#> ---
#> 125: -108.899311 -101.60663 -69.41342 -63.24923
#> 126: 111.643992 123.91670 134.88248 179.15726
#> 127: 149.360998 143.21360 140.04293 134.10662
#> 128: 150.587035 143.21265 136.19548 121.73734
#> 129: -87.082325 -121.52703 -150.28363 -162.61954
#> NIR_fft_phase_72 NIR_fft_phase_73 NIR_fft_phase_74 NIR_fft_phase_75
#> <num> <num> <num> <num>
#> 1: -139.351610 -141.51605 -161.91949 129.81639
#> 2: -114.535966 -154.90336 -168.07673 173.57457
#> 3: 3.072884 -48.12782 -70.39274 -69.47274
#> 4: 161.842060 128.65678 80.61053 -96.31275
#> 5: 176.975360 174.18180 161.02736 159.75528
#> ---
#> 125: -81.382531 -126.07733 -136.67254 -158.97628
#> 126: 163.771176 179.25843 162.13031 176.71856
#> 127: 138.594266 130.39123 124.58488 111.15476
#> 128: 104.710595 88.46872 166.03628 157.43020
#> 129: -166.421742 175.19952 146.09405 115.36481
#> NIR_fft_phase_76 NIR_fft_phase_77 NIR_fft_phase_78 NIR_fft_phase_79
#> <num> <num> <num> <num>
#> 1: -72.45956 -65.69843 -103.478892 -117.54425
#> 2: 118.75430 61.62674 -2.698053 -44.79555
#> 3: -86.45798 -46.60141 -35.956852 -71.88386
#> 4: -162.66807 -171.47849 133.398824 112.21394
#> 5: 174.31302 177.90410 170.661543 166.58043
#> ---
#> 125: 135.70773 86.77838 9.145381 -26.09963
#> 126: 163.49552 148.82119 -177.557794 -179.51106
#> 127: 98.08330 151.66561 150.693790 132.14938
#> 128: 156.23327 160.08219 159.197731 162.78889
#> 129: 97.07651 91.82229 106.947884 165.44845
#> NIR_fft_phase_80 NIR_fft_phase_81 NIR_fft_phase_82 NIR_fft_phase_83
#> <num> <num> <num> <num>
#> 1: -145.34267 179.21764 147.62979 106.32195
#> 2: -59.06562 -100.01251 -50.38030 -63.14294
#> 3: -95.99931 -101.45290 -97.48428 -64.53410
#> 4: -72.27407 -128.68458 -111.95816 -126.11649
#> 5: 169.83275 169.07629 150.56706 133.36016
#> ---
#> 125: -75.12321 -138.60780 -152.76286 169.17545
#> 126: -175.93818 164.35637 142.45913 131.64567
#> 127: 142.10201 151.69353 148.14140 129.27223
#> 128: 170.81021 159.20199 162.33134 -173.15806
#> 129: 128.11761 71.32056 4.75263 -66.57901
#> NIR_fft_phase_84 NIR_fft_phase_85 NIR_fft_phase_86 NIR_fft_phase_87
#> <num> <num> <num> <num>
#> 1: 64.11112 15.26643 -147.09807 148.20526
#> 2: -45.07688 -84.69475 -108.24882 -126.09409
#> 3: -108.36419 -137.94481 -137.39419 167.79121
#> 4: -147.90190 177.10371 -162.95546 178.28282
#> 5: 127.31915 139.25411 169.94568 -176.10686
#> ---
#> 125: 119.31300 71.27420 36.13458 -60.41441
#> 126: 148.89819 161.68470 161.22542 144.34109
#> 127: 110.36461 147.85897 146.33853 135.65254
#> 128: -160.52790 -158.53074 -174.30518 164.26966
#> 129: -119.28101 -162.18620 170.79562 146.09110
#> NIR_fft_phase_88 NIR_fft_phase_89 NIR_fft_phase_90 NIR_fft_phase_91
#> <num> <num> <num> <num>
#> 1: 127.3213 82.43245 37.026642 -2.25383
#> 2: -100.3866 -121.43023 -119.163404 -123.54750
#> 3: 58.2013 14.30961 -21.396725 -48.63666
#> 4: 167.7983 169.57559 155.694441 125.41465
#> 5: 170.5740 150.47603 148.229296 154.80395
#> ---
#> 125: -157.7679 169.02617 135.515389 114.03420
#> 126: 154.7873 161.11577 160.312149 157.65385
#> 127: 139.5803 158.00434 161.773896 163.74418
#> 128: 124.9864 111.88803 -139.873999 -173.22844
#> 129: 117.3256 62.48112 5.569581 -46.19286
#> NIR_fft_phase_92 NIR_fft_phase_93 NIR_fft_phase_94 NIR_fft_phase_95
#> <num> <num> <num> <num>
#> 1: -34.30044 -127.68094 177.05989 144.127556
#> 2: -129.55777 -148.39407 -175.79654 -141.212541
#> 3: -76.34779 -79.33004 -96.21253 -122.051833
#> 4: 96.77872 78.49653 62.63084 62.419286
#> 5: 149.13175 150.01451 138.73011 126.164992
#> ---
#> 125: 102.20417 73.12738 37.15184 -9.148259
#> 126: 139.57331 129.10493 149.15978 158.064713
#> 127: 147.55242 148.96918 148.45630 150.981193
#> 128: 172.90582 152.94054 117.42920 76.030190
#> 129: -94.55393 -118.26849 -154.81850 159.010049
#> NIR_fft_phase_96 NIR_fft_phase_97 NIR_fft_phase_98 NIR_fft_phase_99
#> <num> <num> <num> <num>
#> 1: 106.46183 71.22881 12.583710 -55.8401125
#> 2: -142.23584 -144.69795 -147.531596 -157.4147425
#> 3: -124.49197 -111.17324 -121.023926 -112.1763184
#> 4: 75.50106 38.06368 7.389332 -32.3080573
#> 5: 128.45914 120.68446 116.505546 168.6501370
#> ---
#> 125: -176.75907 115.75352 64.066943 -0.7778902
#> 126: 151.84302 147.86692 141.620956 136.6516777
#> 127: 149.48538 141.77206 144.006618 138.0207535
#> 128: -13.06371 -69.18011 -103.125776 -83.0244179
#> 129: 118.81984 133.86430 114.501109 66.1567632
#> NIR_fft_phase_100 NIR_fft_phase_101 NIR_fft_phase_102 NIR_fft_phase_103
#> <num> <num> <num> <num>
#> 1: 22.892756 -29.07838 114.7900 64.74264
#> 2: -157.072714 -160.92439 -170.1343 -166.54288
#> 3: -135.024641 -100.21491 -106.7938 -90.92509
#> 4: -99.049165 -146.11485 -176.1553 137.14289
#> 5: 165.717258 179.64685 162.8368 133.07122
#> ---
#> 125: 113.949153 -159.13512 176.1049 141.50097
#> 126: 148.110081 149.33958 148.6637 179.86486
#> 127: 134.654848 122.35864 162.2617 165.57220
#> 128: -62.351718 -98.51269 -123.2763 -146.20532
#> 129: 9.752682 151.95254 109.1730 69.75263
#> NIR_fft_phase_104 NIR_fft_phase_105 NIR_fft_phase_106 NIR_fft_phase_107
#> <num> <num> <num> <num>
#> 1: 44.68910 -25.370330 -175.45201 100.251396
#> 2: -177.84738 -176.071612 158.09658 130.367423
#> 3: -89.62468 -98.997904 -109.66966 -117.758827
#> 4: 109.57454 84.880811 55.54125 20.654349
#> 5: 113.17818 107.657579 -20.07143 -114.909413
#> ---
#> 125: 174.01716 110.775446 85.35599 -4.396741
#> 126: 173.81690 -142.676959 -157.77528 -165.672282
#> 127: -167.43248 177.953233 176.89785 172.150915
#> 128: -125.99310 -121.620629 -140.96362 -168.697414
#> 129: 32.27561 7.434013 -35.41220 -68.631554
#> NIR_fft_phase_108 NIR_fft_phase_109 NIR_fft_phase_110 NIR_fft_phase_111
#> <num> <num> <num> <num>
#> 1: 36.57908 -18.03107 -47.083809 -99.82526
#> 2: 168.98295 151.06632 105.792619 89.62970
#> 3: -130.23429 -154.05388 -154.506499 -143.80231
#> 4: -17.83654 -11.07403 -7.971161 -17.76031
#> 5: -142.84379 -145.83901 -172.683881 163.64763
#> ---
#> 125: -114.94126 -146.70284 -133.310798 -157.50778
#> 126: -177.58023 -179.42995 -164.851538 -160.46363
#> 127: 168.53127 164.96058 171.033512 168.03380
#> 128: 157.46026 148.01881 -162.824880 -174.32830
#> 129: -122.26192 170.45468 107.800217 59.38545
#> NIR_fft_phase_112 NIR_fft_phase_113 NIR_fft_phase_114 NIR_fft_phase_115
#> <num> <num> <num> <num>
#> 1: -125.87149 -157.76225 25.76726 -59.921838
#> 2: 129.21736 96.05284 -104.18771 -149.407898
#> 3: -158.42323 -170.44326 -174.11515 -168.737248
#> 4: -42.68907 -60.24405 -155.08363 71.667154
#> 5: -178.94482 -159.50524 -166.09155 163.758595
#> ---
#> 125: -164.77047 -169.38685 -156.76092 -161.026146
#> 126: -162.93942 -166.92937 -169.90194 -177.049879
#> 127: 171.84868 -171.22714 -159.53653 -173.237861
#> 128: 145.73639 145.66090 112.87183 -41.859135
#> 129: 25.47647 22.71851 23.33658 2.053627
#> NIR_fft_phase_116 UVVIS_fft_phase_1 UVVIS_fft_phase_2 UVVIS_fft_phase_3
#> <num> <num> <num> <num>
#> 1: -148.57264 0 67.18685 98.57592
#> 2: 174.61184 180 74.89705 82.21205
#> 3: -173.44842 180 88.88101 73.75813
#> 4: 18.22147 180 56.67719 78.93985
#> 5: 135.34535 180 68.12330 83.19343
#> ---
#> 125: -165.41473 180 54.92245 98.93474
#> 126: -176.75550 180 17.26104 -23.83343
#> 127: -177.44111 180 10.58915 -28.20270
#> 128: -139.77291 0 17.39356 171.05680
#> 129: -10.77290 180 91.15874 87.04682
#> UVVIS_fft_phase_4 UVVIS_fft_phase_5 UVVIS_fft_phase_6 UVVIS_fft_phase_7
#> <num> <num> <num> <num>
#> 1: 92.868964 96.665145 94.11634 106.18532
#> 2: 86.138848 101.608183 121.05059 127.28131
#> 3: 13.626115 -66.041592 152.58885 123.46584
#> 4: 107.358030 126.150308 166.24105 159.67414
#> 5: 55.639290 49.645747 80.44402 84.06376
#> ---
#> 125: 118.232340 162.676127 175.66908 -150.26027
#> 126: -92.739004 119.796753 124.41039 157.71703
#> 127: -4.627931 -9.788832 28.92564 28.30431
#> 128: 116.175769 109.627727 83.59546 48.40181
#> 129: 95.738038 123.087891 122.36515 107.46145
#> UVVIS_fft_phase_8 UVVIS_fft_phase_9 UVVIS_fft_phase_10 UVVIS_fft_phase_11
#> <num> <num> <num> <num>
#> 1: 103.49437 95.369553 94.400731 120.66875
#> 2: 108.82819 92.094931 133.095047 162.42197
#> 3: 73.19248 16.626550 -1.508445 -24.48229
#> 4: 55.07123 -8.235251 -53.372231 -61.84871
#> 5: 94.61765 78.529868 92.457937 94.91182
#> ---
#> 125: -177.71977 61.717436 55.006020 56.02124
#> 126: -161.52533 -136.903334 -151.254321 169.90153
#> 127: -16.31684 -108.152447 -147.490693 140.81845
#> 128: -104.15276 -160.985692 176.093513 102.17941
#> 129: 101.52391 172.654162 168.462339 148.00614
#> UVVIS_fft_phase_12 UVVIS_fft_phase_13 UVVIS_fft_phase_14
#> <num> <num> <num>
#> 1: 116.59966 99.10074 84.34227
#> 2: 157.13172 119.34531 103.51327
#> 3: -45.29235 -60.84420 -110.14573
#> 4: -40.89234 37.05523 -165.36909
#> 5: 119.80609 121.19173 103.88889
#> ---
#> 125: 49.51210 28.31010 -13.72666
#> 126: 68.58638 41.07073 109.91022
#> 127: 129.21103 -80.28419 -44.92706
#> 128: 28.06081 -55.78244 -105.38602
#> 129: 130.00695 142.11983 122.11455
#> UVVIS_fft_phase_15 UVVIS_fft_phase_16 UVVIS_fft_phase_17
#> <num> <num> <num>
#> 1: 77.74343 29.347839 50.74983
#> 2: 130.83441 140.826578 111.35242
#> 3: 84.29893 -70.191770 -162.65393
#> 4: 155.06330 131.562192 162.02583
#> 5: 85.19935 86.868956 -173.63595
#> ---
#> 125: 151.80818 134.845531 -34.76286
#> 126: 73.90894 -142.451201 137.11258
#> 127: 9.28168 -4.302251 -162.36725
#> 128: 178.35666 123.407567 123.29349
#> 129: 99.69218 76.474599 145.18142
#> UVVIS_fft_phase_18 UVVIS_fft_phase_19 UVVIS_fft_phase_20
#> <num> <num> <num>
#> 1: 62.66331 52.01568 62.983329
#> 2: -175.62058 -151.54747 173.839276
#> 3: 169.77967 148.54976 -7.559888
#> 4: 163.17264 156.93321 170.311642
#> 5: 140.70588 126.20138 106.526554
#> ---
#> 125: -145.64719 -177.74103 153.698337
#> 126: 113.09076 113.44600 104.628950
#> 127: 155.66284 88.30543 143.136314
#> 128: 119.15165 128.68079 135.405083
#> 129: 152.31223 178.01567 155.485157
#> UVVIS_fft_phase_21 UVVIS_fft_phase_22 UVVIS_fft_phase_23
#> <num> <num> <num>
#> 1: 104.45830 128.01098 77.50643
#> 2: 158.59561 -173.18118 -171.91199
#> 3: -44.82791 -133.85983 177.03021
#> 4: -173.32104 -142.04719 -55.38045
#> 5: 94.42751 88.89019 139.61034
#> ---
#> 125: 111.91305 95.32639 -28.88643
#> 126: 82.25834 41.92130 35.16016
#> 127: 88.81697 -17.78375 -56.20207
#> 128: 99.83074 131.51752 -178.25746
#> 129: 127.91617 136.76068 158.79517
#> UVVIS_fft_phase_24 UVVIS_fft_phase_25 UVVIS_fft_phase_26
#> <num> <num> <num>
#> 1: 90.05458 138.3279744 114.56336
#> 2: -177.97443 178.5637189 137.22897
#> 3: 156.98746 150.7374450 169.80191
#> 4: -27.24728 0.5989558 51.04297
#> 5: 152.82978 165.7930500 133.07168
#> ---
#> 125: 20.01054 45.1062158 28.44744
#> 126: 32.21570 33.6145609 20.80944
#> 127: -115.68521 116.7076995 98.82723
#> 128: 124.58955 87.4719114 25.44782
#> 129: 152.85752 129.6018830 119.68303
#> UVVIS_fft_phase_27 UVVIS_fft_phase_28 UVVIS_fft_phase_29
#> <num> <num> <num>
#> 1: 100.824175 69.944150 96.92901
#> 2: 79.986580 35.627906 -154.02653
#> 3: -75.063720 -95.086791 -144.67991
#> 4: -2.895990 -82.918441 -161.25630
#> 5: 70.962822 -7.975742 -135.18332
#> ---
#> 125: 2.007382 -62.064766 -146.83183
#> 126: 76.137804 96.693532 33.11847
#> 127: -10.732593 -139.797193 -78.08293
#> 128: -40.161692 -126.012494 137.72569
#> 129: 89.695687 61.524367 -87.90812
#> UVVIS_fft_phase_30 UVVIS_fft_phase_31 UVVIS_fft_phase_32
#> <num> <num> <num>
#> 1: 119.123988 155.50394 -160.621125
#> 2: 166.499614 106.08148 -140.578331
#> 3: 88.759514 28.26133 -34.286348
#> 4: 106.896697 77.40805 3.405828
#> 5: 127.690326 81.13769 31.218399
#> ---
#> 125: 167.332190 169.29532 169.288630
#> 126: -4.409097 -34.45515 -46.041419
#> 127: -19.261556 -52.69004 -104.826686
#> 128: 128.298505 11.04897 -133.068090
#> 129: -133.263252 -175.79438 -89.314338
#> UVVIS_fft_phase_33 UVVIS_fft_phase_34 UVVIS_fft_phase_35
#> <num> <num> <num>
#> 1: -145.391757 -150.07913 -157.37557
#> 2: 168.703567 -178.15676 -67.72572
#> 3: -81.046491 -103.09156 -161.43934
#> 4: -61.520822 -139.54999 -153.79379
#> 5: 1.767025 140.79332 126.26650
#> ---
#> 125: 178.508657 175.94199 -177.65483
#> 126: 177.899333 117.95966 64.27815
#> 127: -174.326907 154.01780 141.52247
#> 128: -104.017423 -91.19224 -83.17242
#> 129: -43.535837 -45.92784 -88.39299
#> UVVIS_fft_phase_36 UVVIS_fft_phase_37 UVVIS_fft_phase_38
#> <num> <num> <num>
#> 1: 149.61965 128.2555516 89.589884
#> 2: -90.21433 21.9908474 39.437492
#> 3: 78.06461 -17.5446824 3.268597
#> 4: 178.73052 115.6815531 75.596921
#> 5: 141.76681 147.6693984 92.393486
#> ---
#> 125: -177.90681 177.1238284 165.647955
#> 126: 52.80869 90.3421911 115.954482
#> 127: -99.07819 -158.3685960 69.427025
#> 128: -77.63343 -144.5329689 169.004606
#> 129: 12.65741 -0.7005146 12.152297
#> UVVIS_fft_phase_39 UVVIS_fft_phase_40 UVVIS_fft_phase_41
#> <num> <num> <num>
#> 1: 121.688010 143.720384 131.32837
#> 2: 1.008589 -65.168877 -135.58480
#> 3: 23.954185 5.487295 6.73490
#> 4: 133.979310 111.999914 147.20736
#> 5: 59.896225 53.266684 78.35370
#> ---
#> 125: 131.275392 84.600489 43.12281
#> 126: 95.566482 104.371921 98.48346
#> 127: -1.256891 -36.549020 -66.27006
#> 128: 153.018487 -127.206134 -171.57569
#> 129: 70.841780 74.054928 38.75901
#> UVVIS_fft_phase_42 UVVIS_fft_phase_43 UVVIS_fft_phase_44
#> <num> <num> <num>
#> 1: 123.601705 95.823284 71.83190
#> 2: -137.596238 -170.109947 116.45862
#> 3: -4.822462 131.406663 107.84979
#> 4: 160.600358 140.385018 115.86361
#> 5: 89.061415 94.055223 73.06459
#> ---
#> 125: 1.190095 -3.498167 92.02964
#> 126: 83.546272 69.045713 36.17057
#> 127: 176.904263 150.840496 155.15892
#> 128: 98.496732 30.040545 -136.24387
#> 129: 12.358293 -69.277129 -35.61031
#> UVVIS_fft_phase_45 UVVIS_fft_phase_46 UVVIS_fft_phase_47
#> <num> <num> <num>
#> 1: 20.58410 30.3458029 -170.89896
#> 2: 43.45091 -0.6330901 -89.66718
#> 3: 29.40285 -127.6689735 -138.20889
#> 4: 65.05245 90.3272904 169.79302
#> 5: 17.98874 -91.4531487 -151.66172
#> ---
#> 125: 98.87264 87.7939194 78.84483
#> 126: -47.78449 -102.9347642 -159.16079
#> 127: 133.42486 -6.3540718 -53.93803
#> 128: -156.71141 -174.7453442 165.57567
#> 129: -43.01238 -65.0004324 -96.27935
#> UVVIS_fft_phase_48 UVVIS_fft_phase_49 UVVIS_fft_phase_50
#> <num> <num> <num>
#> 1: -175.407089 147.42820 143.99022
#> 2: -160.064472 136.23022 40.40799
#> 3: -130.602402 -125.11680 106.94729
#> 4: 149.888103 156.17802 149.71578
#> 5: 166.804203 130.00239 94.94662
#> ---
#> 125: 9.627159 -56.55134 -91.76888
#> 126: -175.718455 -132.57568 -158.38892
#> 127: -70.708588 -49.31566 -39.26415
#> 128: 147.544572 94.72714 42.49045
#> 129: -102.527654 -92.33079 -52.79842
#> UVVIS_fft_phase_51 UVVIS_fft_phase_52 UVVIS_fft_phase_53
#> <num> <num> <num>
#> 1: 120.99353 -129.18523 -99.887240
#> 2: -17.80893 88.74101 57.848051
#> 3: 43.77982 43.95687 6.432881
#> 4: -160.21211 -172.52118 142.503221
#> 5: 76.81923 81.34900 89.894512
#> ---
#> 125: -142.55612 153.46214 83.465854
#> 126: 169.45247 125.76661 102.326258
#> 127: -74.86515 -126.07900 -166.621579
#> 128: 46.28976 54.27060 1.254072
#> 129: -56.93289 -170.52107 105.924844
#> UVVIS_fft_phase_54 UVVIS_fft_phase_55 UVVIS_fft_phase_56
#> <num> <num> <num>
#> 1: 21.990235 -23.562288 -57.976297
#> 2: 6.040637 17.280337 36.209193
#> 3: -53.830053 -86.571513 -93.489869
#> 4: 101.236276 39.080148 1.109029
#> 5: 50.802402 45.355371 51.760592
#> ---
#> 125: -36.182905 -59.278916 -83.400550
#> 126: 139.057318 -135.402599 -149.076358
#> 127: -115.282255 -107.991158 -131.828491
#> 128: 13.457536 -38.869256 -84.373642
#> 129: 39.767995 3.357159 0.598408
#> UVVIS_fft_phase_57 UVVIS_fft_phase_58 UVVIS_fft_phase_59
#> <num> <num> <num>
#> 1: -135.017547 -82.11904 -89.81527
#> 2: 4.811745 -12.33403 -16.22858
#> 3: -10.519104 -37.19529 -104.53285
#> 4: -70.463110 -154.84046 154.08118
#> 5: 26.927057 -19.18503 -71.46789
#> ---
#> 125: -66.600881 -43.31322 -58.64287
#> 126: 154.215679 -175.10774 -138.51963
#> 127: -131.674203 -144.05854 -172.78974
#> 128: -153.456327 154.65567 112.01845
#> 129: -10.557127 -25.59931 -28.91508
#> UVVIS_fft_phase_60 UVVIS_fft_phase_61 UVVIS_fft_phase_62
#> <num> <num> <num>
#> 1: -88.59390759 -97.3560516 -158.569384
#> 2: -12.65851410 14.9985596 -9.586055
#> 3: 0.07521652 13.4570337 -6.239134
#> 4: 106.63010305 80.1442966 -90.873812
#> 5: 17.00705725 0.1325104 -34.399668
#> ---
#> 125: -81.54332256 -64.5340585 -7.077546
#> 126: -174.18307879 151.9007087 118.645483
#> 127: 124.42308649 39.9661779 -103.119889
#> 128: 61.16543213 66.5170736 67.949005
#> 129: 4.49073500 17.3069230 9.712548
#> UVVIS_fft_phase_63 UVVIS_fft_phase_64 UVVIS_fft_phase_65
#> <num> <num> <num>
#> 1: 166.14168 -168.77637 -152.416011
#> 2: -138.90767 65.81918 12.386260
#> 3: -49.81900 49.10798 8.386231
#> 4: -137.83986 170.51523 104.206047
#> 5: -76.08496 -138.18728 15.014400
#> ---
#> 125: -16.30264 -67.96918 -100.210407
#> 126: -120.21570 -97.81169 -118.101096
#> 127: -113.86558 -109.28662 -121.650637
#> 128: -18.11523 -66.38954 -100.415491
#> 129: 29.62268 64.59808 24.667356
#> UVVIS_fft_phase_66 UVVIS_fft_phase_67 UVVIS_fft_phase_68
#> <num> <num> <num>
#> 1: -126.70413212 -177.78005 -1.384311e-11
#> 2: 7.48726635 10.69029 -1.348150e-13
#> 3: -25.19347078 -37.75191 -1.126367e-13
#> 4: -0.05453577 -21.42652 -8.633559e-14
#> 5: -30.33804069 -39.24707 -1.780370e-12
#> ---
#> 125: -161.59285965 163.18044 -1.638134e-12
#> 126: -135.06039923 -163.36831 -1.800000e+02
#> 127: -147.40698030 -165.36687 -1.800000e+02
#> 128: -161.98497954 163.10407 -4.801913e-13
#> 129: -12.25026715 -25.05276 -1.759177e-13