Dear R users,
I have the dataset including value and id columns. I'd like to ask that how to decompose the value column (using wavelet analysis or Fourier transform) so that the cyclic periods in each component can be shown clearly? The value column may be change in different periods (long or short, all part of the time column) and frequencies.
Thanks very much for your help.
df1= data.frame(value=c(17.5 ,
17.46923 ,
17.0732325 ,
16.5971425 ,
16.1345 ,
15.6857575 ,
15.25138 ,
14.831815 ,
14.427515 ,
14.0389425 ,
13.66655 ,
13.3107825 ,
12.9721075 ,
12.65097 ,
12.34783 ,
12.0631425 ,
11.7973575 ,
11.550935 ,
11.324325 ,
11.1179825 ,
10.9323625 ,
10.7679275 ,
10.62512 ,
10.5044 ,
10.406225 ,
10.3310425 ,
10.2793125 ,
10.25149 ,
10.248025 ,
10.269375 ,
10.316 ,
10.3883425 ,
10.4869725 ,
10.617465 ,
10.78566 ,
10.989295 ,
11.225555 ,
11.49162 ,
11.78466 ,
12.10187 ,
12.440415 ,
12.797485 ,
13.1702525 ,
13.5559 ,
13.9516025 ,
14.354545 ,
14.761905 ,
15.1708575 ,
15.57859 ,
15.98228 ,
16.3790975 ,
16.766235 ,
17.1408625 ,
17.500165 ,
17.84132 ,
18.1615025 ,
18.4578975 ,
18.727685 ,
18.968035 ,
19.17614 ,
19.34917 ,
19.48448 ,
19.5884775 ,
19.6733375 ,
19.7410975 ,
19.7929575 ,
19.830125 ,
19.8538075 ,
19.86521 ,
19.8655375 ,
19.855995 ,
19.837785 ,
19.812125 ,
19.7802075 ,
19.743245 ,
19.702445 ,
19.6590075 ,
19.614145 ,
19.569055 ,
19.5249525 ,
19.4830375 ,
19.444515 ,
19.410595 ,
19.38248 ,
19.36138 ,
19.3484925 ,
19.34503 ,
19.352195 ,
19.3712 ,
19.40324 ,
19.4495325 ,
19.5112725 ,
19.5899975 ,
19.7028725 ,
19.870165 ,
20.08887 ,
20.35432 ,
20.6618175 ,
21.00669 ,
21.38425 ,
21.7898225 ,
22.21872 ,
22.6662625 ,
23.12777 ,
23.5985575 ,
24.0739475 ,
24.549255 ,
25.0197975 ,
25.480895 ,
25.927865 ,
26.3560275 ,
26.7607 ,
27.1371975 ,
27.4808425 ,
27.7869525 ,
28.05084 ,
28.26783 ,
28.43324 ,
28.54239 ,
28.59059 ,
28.5731675 ,
28.4854325 ,
28.323085 ,
28.1012525 ,
27.84633 ,
27.5619725 ,
27.250035 ,
26.912355 ,
26.55078 ,
26.1671625 ,
25.7633375 ,
25.341155 ,
24.9024625 ,
24.4491025 ,
23.9829225 ,
23.505765 ,
23.0194825 ,
22.525915 ,
22.0269075 ,
21.524305 ,
21.0199575 ,
20.5157125 ,
20.013405 ,
19.5148875 ,
19.0220125 ,
18.53661 ,
18.060535 ,
17.5956325 ,
17.14375 ,
16.70673 ,
16.286415 ,
15.884655 ,
15.5033 ,
15.14393 ,
14.79542 ,
14.4411225 ,
14.08086 ,
13.715695 ,
13.346705 ,
12.97496 ,
12.601535 ,
12.2274975 ,
11.85392 ,
11.48188 ,
11.11244 ,
10.74668 ,
10.38567 ,
10.03048 ,
9.6821825 ,
9.34185 ,
9.0105575 ,
8.68937 ,
8.379365 ,
8.0816125 ,
7.7971825 ,
7.52715 ,
7.27259 ,
7.03457 ,
6.814155 ,
6.61243 ,
6.4304625 ,
6.26932 ,
6.13008 ,
6.0137425 ,
5.91775 ,
5.8372675 ,
5.77145 ,
5.719785 ,
5.68175 ,
5.65683 ,
5.6445125 ,
5.644275 ,
5.6555975 ,
5.6779675 ,
5.710865 ,
5.7537775 ,
5.8061775 ,
5.86756 ,
5.9373975 ,
6.0151825 ,
6.10039 ,
6.1925 ,
6.2910025 ,
6.3953825 ,
6.50511 ,
6.61968 ,
6.73857 ,
6.86126 ,
6.98724 ,
7.1159875 ,
7.24699 ,
7.3797175 ,
7.5136675 ,
7.6483125 ,
7.7831925 ,
7.9203075 ,
8.0626975 ,
8.21016 ,
8.3622475 ,
8.518515 ,
8.6785175 ,
8.8418075 ,
9.007935 ,
9.17646 ,
9.3469325 ,
9.5189075 ,
9.69194 ,
9.86558 ,
10.0393825 ,
10.2129075 ,
10.3857 ,
10.5573175 ,
10.727315 ,
10.895245 ,
11.06066 ,
11.2231175 ,
11.382165 ,
11.53736 ,
11.68826 ,
11.834415 ,
11.9753725 ,
12.1107 ,
12.23994 ,
12.3626475 ,
12.4783825 ,
12.5867 ,
12.687525 ,
12.7813925 ,
12.86877 ,
12.9501 ,
13.02582 ,
13.0963775 ,
13.1622075 ,
13.2237625 ,
13.281475 ,
13.335795 ,
13.3871575 ,
13.43601 ,
13.4827925 ,
13.5279475 ,
13.571915 ,
13.615145 ,
13.65807 ,
13.701135 ,
13.7447875 ,
13.7894625 ,
13.835605 ,
13.88366 ,
13.9340675 ,
13.98727 ,
14.043705 ,
14.10382 ,
14.16806 ,
14.2368625 ,
14.3106675 ,
14.3900175 ,
14.480155 ,
14.5871775 ,
14.710165 ,
14.8476825 ,
14.998285 ,
15.1605425 ,
15.3330175 ,
15.5142675 ,
15.702865 ,
15.89737 ,
16.096345 ,
16.2983525 ,
16.50196 ,
16.7057275 ,
16.9082175 ,
17.108 ,
17.3036275 ,
17.493675 ,
17.6767 ,
17.851265 ,
18.0159375 ,
18.1692775 ,
18.309855 ,
18.436225),
time=1:300)