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Fourier Analysis of ADES (Advanced Emissions Solutions Inc)


ADES (Advanced Emissions Solutions Inc) appears to have interesting cyclic behaviour every 12 weeks (.4168*cosine), 9 weeks (.3194*cosine), and 5 weeks (.246*cosine).

ADES (Advanced Emissions Solutions Inc) has an average price of 9.18 (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 6/19/2017 for ADES (Advanced Emissions Solutions Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
09.17597   0 
13.6486 .06519 (1*2π)/124124 weeks
2.87699 1.86963 (2*2π)/12462 weeks
3-.59536 1.12958 (3*2π)/12441 weeks
4-.05955 .66091 (4*2π)/12431 weeks
5.25284 .28562 (5*2π)/12425 weeks
6.47614 .76609 (6*2π)/12421 weeks
7-.04568 .36765 (7*2π)/12418 weeks
8.10499 .20929 (8*2π)/12416 weeks
9-.10231 .36367 (9*2π)/12414 weeks
10-.41677 -.14221 (10*2π)/12412 weeks
11.11463 .16296 (11*2π)/12411 weeks
12-.05576 .25183 (12*2π)/12410 weeks
13.29784 -.09106 (13*2π)/12410 weeks
14.31937 .11737 (14*2π)/1249 weeks
15.10468 .14574 (15*2π)/1248 weeks
16.1544 .25918 (16*2π)/1248 weeks
17-.05599 .11383 (17*2π)/1247 weeks
18.17368 .13437 (18*2π)/1247 weeks
19.04567 .12168 (19*2π)/1247 weeks
20.17182 .08135 (20*2π)/1246 weeks
21.04908 .01186 (21*2π)/1246 weeks
22.11619 .09945 (22*2π)/1246 weeks
23.05934 .17197 (23*2π)/1245 weeks
24.18252 .16107 (24*2π)/1245 weeks
25.03305 .18692 (25*2π)/1245 weeks
26-.00293 .05966 (26*2π)/1245 weeks
27.24598 .07353 (27*2π)/1245 weeks
28.0291 .18966 (28*2π)/1244 weeks
29.01429 .16226 (29*2π)/1244 weeks
30.02258 .14796 (30*2π)/1244 weeks
31.07177 .02919 (31*2π)/1244 weeks
32.10838 .07149 (32*2π)/1244 weeks
33-.02041 .00275 (33*2π)/1244 weeks
34.02942 .10433 (34*2π)/1244 weeks
35-.0175 .08476 (35*2π)/1244 weeks
36.07562 .16697 (36*2π)/1243 weeks
37-.04475 .0934 (37*2π)/1243 weeks
38.0135 .04308 (38*2π)/1243 weeks
39.14117 -.04039 (39*2π)/1243 weeks
40.1464 .01254 (40*2π)/1243 weeks
41-.00363 .01675 (41*2π)/1243 weeks
42.08652 -.02607 (42*2π)/1243 weeks
43.03331 .1156 (43*2π)/1243 weeks
44-.03787 -.05393 (44*2π)/1243 weeks
45.11596 .00112 (45*2π)/1243 weeks
46.02531 .0091 (46*2π)/1243 weeks
47.09121 -.02913 (47*2π)/1243 weeks
48.10113 .07636 (48*2π)/1243 weeks
49.11234 .07384 (49*2π)/1243 weeks
50.13982 -.0248 (50*2π)/1242 weeks
51.07722 -.04347 (51*2π)/1242 weeks
52.15674 .07361 (52*2π)/1242 weeks
53.06832 .05455 (53*2π)/1242 weeks
54.04956 -.01518 (54*2π)/1242 weeks
55.05078 .05689 (55*2π)/1242 weeks
56.0955 -.0268 (56*2π)/1242 weeks
57.0385 -.00082 (57*2π)/1242 weeks
58.03133 .03803 (58*2π)/1242 weeks
59.06923 .06686 (59*2π)/1242 weeks
60.06812 -.03878 (60*2π)/1242 weeks
61.07482 .06354 (61*2π)/1242 weeks
62.13355   (62*2π)/1242 weeks
63.07482 -.06354 (63*2π)/1242 weeks
64.06812 .03878 (64*2π)/1242 weeks
65.06923 -.06686 (65*2π)/1242 weeks
66.03133 -.03803 (66*2π)/1242 weeks
67.0385 .00082 (67*2π)/1242 weeks
68.0955 .0268 (68*2π)/1242 weeks
69.05078 -.05689 (69*2π)/1242 weeks
70.04956 .01518 (70*2π)/1242 weeks
71.06832 -.05455 (71*2π)/1242 weeks
72.15674 -.07361 (72*2π)/1242 weeks
73.07722 .04347 (73*2π)/1242 weeks
74.13982 .0248 (74*2π)/1242 weeks
75.11234 -.07384 (75*2π)/1242 weeks
76.10113 -.07636 (76*2π)/1242 weeks
77.09121 .02913 (77*2π)/1242 weeks
78.02531 -.0091 (78*2π)/1242 weeks
79.11596 -.00112 (79*2π)/1242 weeks
80-.03787 .05393 (80*2π)/1242 weeks
81.03331 -.1156 (81*2π)/1242 weeks
82.08652 .02607 (82*2π)/1242 weeks
83-.00363 -.01675 (83*2π)/1241 weeks
84.1464 -.01254 (84*2π)/1241 weeks
85.14117 .04039 (85*2π)/1241 weeks
86.0135 -.04308 (86*2π)/1241 weeks
87-.04475 -.0934 (87*2π)/1241 weeks
88.07562 -.16697 (88*2π)/1241 weeks
89-.0175 -.08476 (89*2π)/1241 weeks
90.02942 -.10433 (90*2π)/1241 weeks
91-.02041 -.00275 (91*2π)/1241 weeks
92.10838 -.07149 (92*2π)/1241 weeks
93.07177 -.02919 (93*2π)/1241 weeks
94.02258 -.14796 (94*2π)/1241 weeks
95.01429 -.16226 (95*2π)/1241 weeks
96.0291 -.18966 (96*2π)/1241 weeks
97.24598 -.07353 (97*2π)/1241 weeks
98-.00293 -.05966 (98*2π)/1241 weeks
99.03305 -.18692 (99*2π)/1241 weeks
100.18252 -.16107 (100*2π)/1241 weeks
101.05934 -.17197 (101*2π)/1241 weeks
102.11619 -.09945 (102*2π)/1241 weeks
103.04908 -.01186 (103*2π)/1241 weeks
104.17182 -.08135 (104*2π)/1241 weeks
105.04567 -.12168 (105*2π)/1241 weeks
106.17368 -.13437 (106*2π)/1241 weeks
107-.05599 -.11383 (107*2π)/1241 weeks
108.1544 -.25918 (108*2π)/1241 weeks
109.10468 -.14574 (109*2π)/1241 weeks
110.31937 -.11737 (110*2π)/1241 weeks
111.29784 .09106 (111*2π)/1241 weeks
112-.05576 -.25183 (112*2π)/1241 weeks
113.11463 -.16296 (113*2π)/1241 weeks
114-.41677 .14221 (114*2π)/1241 weeks
115-.10231 -.36367 (115*2π)/1241 weeks
116.10499 -.20929 (116*2π)/1241 weeks
117-.04568 -.36765 (117*2π)/1241 weeks
118.47614 -.76609 (118*2π)/1241 weeks
119.25284 -.28562 (119*2π)/1241 weeks
120-.05955 -.66091 (120*2π)/1241 weeks
121-.59536 -1.12958 (121*2π)/1241 weeks
122.87699 -1.86963 (122*2π)/1241 weeks



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