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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 (.3536*cosine), 10 weeks (.3063*cosine), and 5 weeks (.2668*cosine).

ADES (Advanced Emissions Solutions, I) has an average price of 9.15 (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 4/17/2017 for ADES (Advanced Emissions Solutions, I), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
09.15383   0 
13.91982 .61136 (1*2π)/115115 weeks
2.85061 1.95776 (2*2π)/11558 weeks
3-.45789 .62934 (3*2π)/11538 weeks
4-.17445 .39723 (4*2π)/11529 weeks
5.34868 .28244 (5*2π)/11523 weeks
6-.13947 .81476 (6*2π)/11519 weeks
7-.10488 .36311 (7*2π)/11516 weeks
8-.02386 .52576 (8*2π)/11514 weeks
9-.46944 .29831 (9*2π)/11513 weeks
10.26637 .11468 (10*2π)/11512 weeks
11.06763 .28157 (11*2π)/11510 weeks
12.30629 -.14056 (12*2π)/11510 weeks
13.35358 .13584 (13*2π)/1159 weeks
14.14053 .14045 (14*2π)/1158 weeks
15.1314 .29818 (15*2π)/1158 weeks
16.00399 .03019 (16*2π)/1157 weeks
17.12175 .19546 (17*2π)/1157 weeks
18.05445 .07142 (18*2π)/1156 weeks
19.07799 .19603 (19*2π)/1156 weeks
20.19351 .10621 (20*2π)/1156 weeks
21.18356 .18262 (21*2π)/1155 weeks
22.19532 .08422 (22*2π)/1155 weeks
23.06949 .20888 (23*2π)/1155 weeks
24.00319 .08036 (24*2π)/1155 weeks
25.26676 .05372 (25*2π)/1155 weeks
26.0378 .19091 (26*2π)/1154 weeks
27.0106 .15442 (27*2π)/1154 weeks
28-.01359 .14591 (28*2π)/1154 weeks
29.08795 .0784 (29*2π)/1154 weeks
30.09035 .17496 (30*2π)/1154 weeks
31.13899 .04225 (31*2π)/1154 weeks
32.07758 .0967 (32*2π)/1154 weeks
33.13274 .03205 (33*2π)/1153 weeks
34-.01416 .10304 (34*2π)/1153 weeks
35.02482 -.00835 (35*2π)/1153 weeks
36.09759 -.1104 (36*2π)/1153 weeks
37.12926 -.01612 (37*2π)/1153 weeks
38-.01134 .01769 (38*2π)/1153 weeks
39.10208 -.03241 (39*2π)/1153 weeks
40.00962 .10607 (40*2π)/1153 weeks
41.01032 -.10429 (41*2π)/1153 weeks
42.10802 .0219 (42*2π)/1153 weeks
43.05626 -.04962 (43*2π)/1153 weeks
44.1569 -.03375 (44*2π)/1153 weeks
45.08878 -.01477 (45*2π)/1153 weeks
46.02321 -.03914 (46*2π)/1153 weeks
47.04203 .01972 (47*2π)/1152 weeks
48.17742 .0354 (48*2π)/1152 weeks
49.06053 .06253 (49*2π)/1152 weeks
50.03125 -.00786 (50*2π)/1152 weeks
51.04841 .06053 (51*2π)/1152 weeks
52.10676 -.02189 (52*2π)/1152 weeks
53.05823 -.02282 (53*2π)/1152 weeks
54.02878 -.01333 (54*2π)/1152 weeks
55.00263 .03313 (55*2π)/1152 weeks
56.104 -.0326 (56*2π)/1152 weeks
57.00742 -.03058 (57*2π)/1152 weeks
58.00742 .03058 (58*2π)/1152 weeks
59.104 .0326 (59*2π)/1152 weeks
60.00263 -.03313 (60*2π)/1152 weeks
61.02878 .01333 (61*2π)/1152 weeks
62.05823 .02282 (62*2π)/1152 weeks
63.10676 .02189 (63*2π)/1152 weeks
64.04841 -.06053 (64*2π)/1152 weeks
65.03125 .00786 (65*2π)/1152 weeks
66.06053 -.06253 (66*2π)/1152 weeks
67.17742 -.0354 (67*2π)/1152 weeks
68.04203 -.01972 (68*2π)/1152 weeks
69.02321 .03914 (69*2π)/1152 weeks
70.08878 .01477 (70*2π)/1152 weeks
71.1569 .03375 (71*2π)/1152 weeks
72.05626 .04962 (72*2π)/1152 weeks
73.10802 -.0219 (73*2π)/1152 weeks
74.01032 .10429 (74*2π)/1152 weeks
75.00962 -.10607 (75*2π)/1152 weeks
76.10208 .03241 (76*2π)/1152 weeks
77-.01134 -.01769 (77*2π)/1151 weeks
78.12926 .01612 (78*2π)/1151 weeks
79.09759 .1104 (79*2π)/1151 weeks
80.02482 .00835 (80*2π)/1151 weeks
81-.01416 -.10304 (81*2π)/1151 weeks
82.13274 -.03205 (82*2π)/1151 weeks
83.07758 -.0967 (83*2π)/1151 weeks
84.13899 -.04225 (84*2π)/1151 weeks
85.09035 -.17496 (85*2π)/1151 weeks
86.08795 -.0784 (86*2π)/1151 weeks
87-.01359 -.14591 (87*2π)/1151 weeks
88.0106 -.15442 (88*2π)/1151 weeks
89.0378 -.19091 (89*2π)/1151 weeks
90.26676 -.05372 (90*2π)/1151 weeks
91.00319 -.08036 (91*2π)/1151 weeks
92.06949 -.20888 (92*2π)/1151 weeks
93.19532 -.08422 (93*2π)/1151 weeks
94.18356 -.18262 (94*2π)/1151 weeks
95.19351 -.10621 (95*2π)/1151 weeks
96.07799 -.19603 (96*2π)/1151 weeks
97.05445 -.07142 (97*2π)/1151 weeks
98.12175 -.19546 (98*2π)/1151 weeks
99.00399 -.03019 (99*2π)/1151 weeks
100.1314 -.29818 (100*2π)/1151 weeks
101.14053 -.14045 (101*2π)/1151 weeks
102.35358 -.13584 (102*2π)/1151 weeks
103.30629 .14056 (103*2π)/1151 weeks
104.06763 -.28157 (104*2π)/1151 weeks
105.26637 -.11468 (105*2π)/1151 weeks
106-.46944 -.29831 (106*2π)/1151 weeks
107-.02386 -.52576 (107*2π)/1151 weeks
108-.10488 -.36311 (108*2π)/1151 weeks
109-.13947 -.81476 (109*2π)/1151 weeks
110.34868 -.28244 (110*2π)/1151 weeks
111-.17445 -.39723 (111*2π)/1151 weeks
112-.45789 -.62934 (112*2π)/1151 weeks
113.85061 -1.95776 (113*2π)/1151 weeks



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