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# Fourier Analysis of DTV (DTE Energy Company CORPORATE UNIT)

DTV (DTE Energy Company CORPORATE UNIT) appears to have interesting cyclic behaviour every 8 weeks (.2932*cosine), 8 weeks (.2874*sine), and 7 weeks (.2194*cosine).

DTV (DTE Energy Company CORPORATE UNIT) has an average price of 50.51 (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.

## Fourier Analysis

Using data from 9/30/2016 to 4/16/2018 for DTV (DTE Energy Company CORPORATE UNIT), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
050.51097   0
1-1.61804 -2.28518 (1*2π)/8282 weeks
2-.28275 -.5902 (2*2π)/8241 weeks
3-.05066 -.2162 (3*2π)/8227 weeks
4.10786 -.50589 (4*2π)/8221 weeks
5.0318 -.70372 (5*2π)/8216 weeks
6-.28404 -.53395 (6*2π)/8214 weeks
7.25026 -.05638 (7*2π)/8212 weeks
8-.09248 -.1142 (8*2π)/8210 weeks
9.1556 -.08213 (9*2π)/829 weeks
10-.29319 -.28736 (10*2π)/828 weeks
11-.21939 -.25961 (11*2π)/827 weeks
12-.07643 -.02599 (12*2π)/827 weeks
13-.10623 -.243 (13*2π)/826 weeks
14-.04997 -.21773 (14*2π)/826 weeks
15.08982 -.28315 (15*2π)/825 weeks
16-.07259 .07271 (16*2π)/825 weeks
17.00057 .03442 (17*2π)/825 weeks
18.02745 -.03602 (18*2π)/825 weeks
19.17951 -.16014 (19*2π)/824 weeks
20-.05303 .04466 (20*2π)/824 weeks
21-.03896 -.15637 (21*2π)/824 weeks
22-.15246 -.07405 (22*2π)/824 weeks
23-.06904 .12077 (23*2π)/824 weeks
24.04291 .09484 (24*2π)/823 weeks
25-.0424 -.02764 (25*2π)/823 weeks
26.03798 -.21953 (26*2π)/823 weeks
27-.0515 -.12732 (27*2π)/823 weeks
28-.09508 -.12446 (28*2π)/823 weeks
29-.15635 -.05144 (29*2π)/823 weeks
30-.00365 -.04427 (30*2π)/823 weeks
31.02985 -.14965 (31*2π)/823 weeks
32-.16179 .08412 (32*2π)/823 weeks
33-.09637 -.03945 (33*2π)/822 weeks
34-.11638 .07001 (34*2π)/822 weeks
35.02682 -.10364 (35*2π)/822 weeks
36-.03093 -.08681 (36*2π)/822 weeks
37-.08072 -.06876 (37*2π)/822 weeks
38-.05117 .10867 (38*2π)/822 weeks
39-.09949 .12656 (39*2π)/822 weeks
40-.09214 .11009 (40*2π)/822 weeks
41-.07296   (41*2π)/822 weeks
42-.09214 -.11009 (42*2π)/822 weeks
43-.09949 -.12656 (43*2π)/822 weeks
44-.05117 -.10867 (44*2π)/822 weeks
45-.08072 .06876 (45*2π)/822 weeks
46-.03093 .08681 (46*2π)/822 weeks
47.02682 .10364 (47*2π)/822 weeks
48-.11638 -.07001 (48*2π)/822 weeks
49-.09637 .03945 (49*2π)/822 weeks
50-.16179 -.08412 (50*2π)/822 weeks
51.02985 .14965 (51*2π)/822 weeks
52-.00365 .04427 (52*2π)/822 weeks
53-.15635 .05144 (53*2π)/822 weeks
54-.09508 .12446 (54*2π)/822 weeks
55-.0515 .12732 (55*2π)/821 weeks
56.03798 .21953 (56*2π)/821 weeks
57-.0424 .02764 (57*2π)/821 weeks
58.04291 -.09484 (58*2π)/821 weeks
59-.06904 -.12077 (59*2π)/821 weeks
60-.15246 .07405 (60*2π)/821 weeks
61-.03896 .15637 (61*2π)/821 weeks
62-.05303 -.04466 (62*2π)/821 weeks
63.17951 .16014 (63*2π)/821 weeks
64.02745 .03602 (64*2π)/821 weeks
65.00057 -.03442 (65*2π)/821 weeks
66-.07259 -.07271 (66*2π)/821 weeks
67.08982 .28315 (67*2π)/821 weeks
68-.04997 .21773 (68*2π)/821 weeks
69-.10623 .243 (69*2π)/821 weeks
70-.07643 .02599 (70*2π)/821 weeks
71-.21939 .25961 (71*2π)/821 weeks
72-.29319 .28736 (72*2π)/821 weeks
73.1556 .08213 (73*2π)/821 weeks
74-.09248 .1142 (74*2π)/821 weeks
75.25026 .05638 (75*2π)/821 weeks
76-.28404 .53395 (76*2π)/821 weeks
77.0318 .70372 (77*2π)/821 weeks
78.10786 .50589 (78*2π)/821 weeks
79-.05066 .2162 (79*2π)/821 weeks
80-.28275 .5902 (80*2π)/821 weeks