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Fourier Analysis of ADES (Advanced Emissions Solutions, I)


ADES (Advanced Emissions Solutions, I) appears to have interesting cyclic behaviour every 9 weeks (.3307*cosine), 5 weeks (.3139*cosine), and 2 weeks (.2329*cosine).

ADES (Advanced Emissions Solutions, I) has an average price of 9 (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 2/13/2015 to 12/5/2016 for ADES (Advanced Emissions Solutions, I), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
08.99979   0 
13.83074 2.11799 (1*2π)/9696 weeks
2.08171 2.33323 (2*2π)/9648 weeks
3.07846 .68325 (3*2π)/9632 weeks
4.45691 .24486 (4*2π)/9624 weeks
5.02842 .96677 (5*2π)/9619 weeks
6.08231 .39321 (6*2π)/9616 weeks
7-.07476 .63541 (7*2π)/9614 weeks
8-.00271 -.25523 (8*2π)/9612 weeks
9.08578 .26898 (9*2π)/9611 weeks
10.24099 -.19681 (10*2π)/9610 weeks
11.33072 .22847 (11*2π)/969 weeks
12.227 .1638 (12*2π)/968 weeks
13-.07475 .21031 (13*2π)/967 weeks
14.20323 .15725 (14*2π)/967 weeks
15.0678 .04747 (15*2π)/966 weeks
16.05417 .14073 (16*2π)/966 weeks
17.19967 .13294 (17*2π)/966 weeks
18.09362 .14604 (18*2π)/965 weeks
19.12156 .29659 (19*2π)/965 weeks
20-.01403 .1287 (20*2π)/965 weeks
21.31388 .17652 (21*2π)/965 weeks
22.05378 .20147 (22*2π)/964 weeks
23.02946 .16125 (23*2π)/964 weeks
24.04479 .03938 (24*2π)/964 weeks
25.06858 .16885 (25*2π)/964 weeks
26.12175 .06164 (26*2π)/964 weeks
27.02009 .07875 (27*2π)/964 weeks
28.07986 .18403 (28*2π)/963 weeks
29-.01168 .01549 (29*2π)/963 weeks
30.07085 -.08982 (30*2π)/963 weeks
31.14353 .0526 (31*2π)/963 weeks
32.00396 -.0184 (32*2π)/963 weeks
33.13165 .09607 (33*2π)/963 weeks
34-.06609 -.05936 (34*2π)/963 weeks
35.1266 .02944 (35*2π)/963 weeks
36.05759 -.05037 (36*2π)/963 weeks
37.14569 .04613 (37*2π)/963 weeks
38.08555 .05807 (38*2π)/963 weeks
39.13537 .03096 (39*2π)/962 weeks
40.23292 .0071 (40*2π)/962 weeks
41.08428 .06844 (41*2π)/962 weeks
42.10572 -.02265 (42*2π)/962 weeks
43.03254 -.03152 (43*2π)/962 weeks
44.06142 .02161 (44*2π)/962 weeks
45.0553 .01885 (45*2π)/962 weeks
46.01158 .0394 (46*2π)/962 weeks
47.13106 .05468 (47*2π)/962 weeks
48.12667   (48*2π)/962 weeks
49.13106 -.05468 (49*2π)/962 weeks
50.01158 -.0394 (50*2π)/962 weeks
51.0553 -.01885 (51*2π)/962 weeks
52.06142 -.02161 (52*2π)/962 weeks
53.03254 .03152 (53*2π)/962 weeks
54.10572 .02265 (54*2π)/962 weeks
55.08428 -.06844 (55*2π)/962 weeks
56.23292 -.0071 (56*2π)/962 weeks
57.13537 -.03096 (57*2π)/962 weeks
58.08555 -.05807 (58*2π)/962 weeks
59.14569 -.04613 (59*2π)/962 weeks
60.05759 .05037 (60*2π)/962 weeks
61.1266 -.02944 (61*2π)/962 weeks
62-.06609 .05936 (62*2π)/962 weeks
63.13165 -.09607 (63*2π)/962 weeks
64.00396 .0184 (64*2π)/962 weeks
65.14353 -.0526 (65*2π)/961 weeks
66.07085 .08982 (66*2π)/961 weeks
67-.01168 -.01549 (67*2π)/961 weeks
68.07986 -.18403 (68*2π)/961 weeks
69.02009 -.07875 (69*2π)/961 weeks
70.12175 -.06164 (70*2π)/961 weeks
71.06858 -.16885 (71*2π)/961 weeks
72.04479 -.03938 (72*2π)/961 weeks
73.02946 -.16125 (73*2π)/961 weeks
74.05378 -.20147 (74*2π)/961 weeks
75.31388 -.17652 (75*2π)/961 weeks
76-.01403 -.1287 (76*2π)/961 weeks
77.12156 -.29659 (77*2π)/961 weeks
78.09362 -.14604 (78*2π)/961 weeks
79.19967 -.13294 (79*2π)/961 weeks
80.05417 -.14073 (80*2π)/961 weeks
81.0678 -.04747 (81*2π)/961 weeks
82.20323 -.15725 (82*2π)/961 weeks
83-.07475 -.21031 (83*2π)/961 weeks
84.227 -.1638 (84*2π)/961 weeks
85.33072 -.22847 (85*2π)/961 weeks
86.24099 .19681 (86*2π)/961 weeks
87.08578 -.26898 (87*2π)/961 weeks
88-.00271 .25523 (88*2π)/961 weeks
89-.07476 -.63541 (89*2π)/961 weeks
90.08231 -.39321 (90*2π)/961 weeks
91.02842 -.96677 (91*2π)/961 weeks
92.45691 -.24486 (92*2π)/961 weeks
93.07846 -.68325 (93*2π)/961 weeks
94.08171 -2.33323 (94*2π)/961 weeks

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