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Fourier Analysis of DTV (DTE Energy Company 2016 Corporate Units )


DTV (DTE Energy Company 2016 Corporate Units ) appears to have interesting cyclic behaviour every 5 weeks (.2881*cosine), 6 weeks (.2573*sine), and 2 weeks (.2171*cosine).

DTV (DTE Energy Company 2016 Corporate Units ) has an average price of 51.14 (topmost row, frequency = 0).



Click on the checkboxes shown on the right to see how the various frequencies contribute to the graph. Look for large magnitude coefficients (sine or cosine), as these are associated with frequencies which contribute most to the associated stock plot. If you find a large magnitude coefficient which dramatically changes the graph, look at the associated "Period" in weeks, as you may have found a significant recurring cycle for the stock of interest.

Right click on the graph above to see the menu of operations (download, full screen, etc.)

Fourier Analysis

Using data from 9/30/2016 to 1/16/2018 for DTV (DTE Energy Company 2016 Corporate Units ), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
051.14439   0 
1-.79404 -2.79685 (1*2π)/6969 weeks
2-.21657 -1.08197 (2*2π)/6935 weeks
3-.42201 -.81245 (3*2π)/6923 weeks
4-.34123 -.71368 (4*2π)/6917 weeks
5-.38519 -.49394 (5*2π)/6914 weeks
6.15917 .02944 (6*2π)/6912 weeks
7-.16742 -.21476 (7*2π)/6910 weeks
8-.28784 .17416 (8*2π)/699 weeks
9-.16389 -.14823 (9*2π)/698 weeks
10.02729 -.03319 (10*2π)/697 weeks
11-.07795 -.25726 (11*2π)/696 weeks
12-.02509 -.22318 (12*2π)/696 weeks
13.28807 -.03973 (13*2π)/695 weeks
14.03222 -.08944 (14*2π)/695 weeks
15-.01342 -.09487 (15*2π)/695 weeks
16.1582 -.16389 (16*2π)/694 weeks
17-.14744 .05979 (17*2π)/694 weeks
18.02359 -.00313 (18*2π)/694 weeks
19.08657 -.04586 (19*2π)/694 weeks
20.00802 -.05435 (20*2π)/693 weeks
21-.15184 -.05781 (21*2π)/693 weeks
22.01242 -.1822 (22*2π)/693 weeks
23-.05728 -.09621 (23*2π)/693 weeks
24-.02944 -.07335 (24*2π)/693 weeks
25.0108 -.18888 (25*2π)/693 weeks
26.00607 -.22334 (26*2π)/693 weeks
27-.18378 .03058 (27*2π)/693 weeks
28-.06172 -.0968 (28*2π)/692 weeks
29-.2171 -.15281 (29*2π)/692 weeks
30-.09088 -.05608 (30*2π)/692 weeks
31-.08978 -.04623 (31*2π)/692 weeks
32-.03499 .09651 (32*2π)/692 weeks
33-.13969 .07183 (33*2π)/692 weeks
34-.2136 .03059 (34*2π)/692 weeks
35-.2136 -.03059 (35*2π)/692 weeks
36-.13969 -.07183 (36*2π)/692 weeks
37-.03499 -.09651 (37*2π)/692 weeks
38-.08978 .04623 (38*2π)/692 weeks
39-.09088 .05608 (39*2π)/692 weeks
40-.2171 .15281 (40*2π)/692 weeks
41-.06172 .0968 (41*2π)/692 weeks
42-.18378 -.03058 (42*2π)/692 weeks
43.00607 .22334 (43*2π)/692 weeks
44.0108 .18888 (44*2π)/692 weeks
45-.02944 .07335 (45*2π)/692 weeks
46-.05728 .09621 (46*2π)/692 weeks
47.01242 .1822 (47*2π)/691 weeks
48-.15184 .05781 (48*2π)/691 weeks
49.00802 .05435 (49*2π)/691 weeks
50.08657 .04586 (50*2π)/691 weeks
51.02359 .00313 (51*2π)/691 weeks
52-.14744 -.05979 (52*2π)/691 weeks
53.1582 .16389 (53*2π)/691 weeks
54-.01342 .09487 (54*2π)/691 weeks
55.03222 .08944 (55*2π)/691 weeks
56.28807 .03973 (56*2π)/691 weeks
57-.02509 .22318 (57*2π)/691 weeks
58-.07795 .25726 (58*2π)/691 weeks
59.02729 .03319 (59*2π)/691 weeks
60-.16389 .14823 (60*2π)/691 weeks
61-.28784 -.17416 (61*2π)/691 weeks
62-.16742 .21476 (62*2π)/691 weeks
63.15917 -.02944 (63*2π)/691 weeks
64-.38519 .49394 (64*2π)/691 weeks
65-.34123 .71368 (65*2π)/691 weeks
66-.42201 .81245 (66*2π)/691 weeks
67-.21657 1.08197 (67*2π)/691 weeks



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