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Fourier Analysis of DTV (DTE Energy Company)


DTV (DTE Energy Company) appears to have interesting cyclic behaviour every 3 weeks (.3926*cosine), 3 weeks (.2795*sine), and 3 weeks (.2482*cosine).

DTV (DTE Energy Company) has an average price of 51.95 (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 7/17/2017 for DTV (DTE Energy Company), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
051.94904   0 
1-.06883 -2.16291 (1*2π)/4343 weeks
2-.40032 -1.25749 (2*2π)/4322 weeks
3-.25568 -.89829 (3*2π)/4314 weeks
4-.05064 -.25361 (4*2π)/4311 weeks
5-.2089 .1715 (5*2π)/439 weeks
6-.0545 -.29732 (6*2π)/437 weeks
7-.07721 -.35805 (7*2π)/436 weeks
8.17199 -.23386 (8*2π)/435 weeks
9.11685 -.31105 (9*2π)/435 weeks
10.09648 -.2454 (10*2π)/434 weeks
11-.12095 -.22035 (11*2π)/434 weeks
12-.0486 .05935 (12*2π)/434 weeks
13-.39259 -.07875 (13*2π)/433 weeks
14.00602 -.06355 (14*2π)/433 weeks
15-.24823 -.27951 (15*2π)/433 weeks
16.06156 -.0792 (16*2π)/433 weeks
17-.20062 .00914 (17*2π)/433 weeks
18-.21256 -.03457 (18*2π)/432 weeks
19-.04814 -.00823 (19*2π)/432 weeks
20-.01933 .00223 (20*2π)/432 weeks
21-.24455 .14597 (21*2π)/432 weeks
22-.24455 -.14597 (22*2π)/432 weeks
23-.01933 -.00223 (23*2π)/432 weeks
24-.04814 .00823 (24*2π)/432 weeks
25-.21256 .03457 (25*2π)/432 weeks
26-.20062 -.00914 (26*2π)/432 weeks
27.06156 .0792 (27*2π)/432 weeks
28-.24823 .27951 (28*2π)/432 weeks
29.00602 .06355 (29*2π)/431 weeks
30-.39259 .07875 (30*2π)/431 weeks
31-.0486 -.05935 (31*2π)/431 weeks
32-.12095 .22035 (32*2π)/431 weeks
33.09648 .2454 (33*2π)/431 weeks
34.11685 .31105 (34*2π)/431 weeks
35.17199 .23386 (35*2π)/431 weeks
36-.07721 .35805 (36*2π)/431 weeks
37-.0545 .29732 (37*2π)/431 weeks
38-.2089 -.1715 (38*2π)/431 weeks
39-.05064 .25361 (39*2π)/431 weeks
40-.25568 .89829 (40*2π)/431 weeks
41-.40032 1.25749 (41*2π)/431 weeks



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