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Fourier Analysis of DTV (DTE Energy Company)


DTV (DTE Energy Company) appears to have interesting cyclic behaviour every 6 weeks (.4561*sine), 3 weeks (.3239*cosine), and 2 weeks (.2705*cosine).

DTV (DTE Energy Company) has an average price of 51.96 (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 9/29/2016 to 10/9/2017 for DTV (DTE Energy Company), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
051.96065   0 
1-.27997 -2.65899 (1*2π)/5555 weeks
2-.3296 -.98202 (2*2π)/5528 weeks
3-.29449 -.92565 (3*2π)/5518 weeks
4-.25887 -.78957 (4*2π)/5514 weeks
5.01609 .01724 (5*2π)/5511 weeks
6.12293 -.10702 (6*2π)/559 weeks
7-.25913 -.39617 (7*2π)/558 weeks
8-.03979 -.17782 (8*2π)/557 weeks
9-.07015 -.39479 (9*2π)/556 weeks
10.13191 -.45611 (10*2π)/556 weeks
11-.12435 -.11584 (11*2π)/555 weeks
12-.12547 -.15325 (12*2π)/555 weeks
13.19794 -.01101 (13*2π)/554 weeks
14-.07793 -.16308 (14*2π)/554 weeks
15-.04581 -.09342 (15*2π)/554 weeks
16-.13102 -.00992 (16*2π)/553 weeks
17-.32385 -.15271 (17*2π)/553 weeks
18-.11498 -.05977 (18*2π)/553 weeks
19-.09407 -.07055 (19*2π)/553 weeks
20-.02908 -.13231 (20*2π)/553 weeks
21.127 -.02436 (21*2π)/553 weeks
22-.16623 -.12526 (22*2π)/553 weeks
23-.27051 -.0654 (23*2π)/552 weeks
24-.09252 -.03777 (24*2π)/552 weeks
25-.02849 -.06559 (25*2π)/552 weeks
26-.14643 .08629 (26*2π)/552 weeks
27-.22485 .0476 (27*2π)/552 weeks
28-.22485 -.0476 (28*2π)/552 weeks
29-.14643 -.08629 (29*2π)/552 weeks
30-.02849 .06559 (30*2π)/552 weeks
31-.09252 .03777 (31*2π)/552 weeks
32-.27051 .0654 (32*2π)/552 weeks
33-.16623 .12526 (33*2π)/552 weeks
34.127 .02436 (34*2π)/552 weeks
35-.02908 .13231 (35*2π)/552 weeks
36-.09407 .07055 (36*2π)/552 weeks
37-.11498 .05977 (37*2π)/551 weeks
38-.32385 .15271 (38*2π)/551 weeks
39-.13102 .00992 (39*2π)/551 weeks
40-.04581 .09342 (40*2π)/551 weeks
41-.07793 .16308 (41*2π)/551 weeks
42.19794 .01101 (42*2π)/551 weeks
43-.12547 .15325 (43*2π)/551 weeks
44-.12435 .11584 (44*2π)/551 weeks
45.13191 .45611 (45*2π)/551 weeks
46-.07015 .39479 (46*2π)/551 weeks
47-.03979 .17782 (47*2π)/551 weeks
48-.25913 .39617 (48*2π)/551 weeks
49.12293 .10702 (49*2π)/551 weeks
50.01609 -.01724 (50*2π)/551 weeks
51-.25887 .78957 (51*2π)/551 weeks
52-.29449 .92565 (52*2π)/551 weeks
53-.3296 .98202 (53*2π)/551 weeks



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