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Fourier Analysis of ATLS (Atlas Energy, L.P. Common Units)


ATLS (Atlas Energy, L.P. Common Units) appears to have interesting cyclic behaviour every 9 weeks (.2416*cosine), 8 weeks (.2398*sine), and 8 weeks (.2265*cosine).

ATLS (Atlas Energy, L.P. Common Units) has an average price of 2.24 (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 2/24/2015 to 2/21/2017 for ATLS (Atlas Energy, L.P. Common Units), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
02.24467   0 
11.8985 1.74825 (1*2π)/105105 weeks
2.27421 1.29456 (2*2π)/10553 weeks
3-.02021 .86633 (3*2π)/10535 weeks
4-.11966 .86576 (4*2π)/10526 weeks
5-.01228 .43828 (5*2π)/10521 weeks
6.14741 .09222 (6*2π)/10518 weeks
7.16546 .16029 (7*2π)/10515 weeks
8.12857 .23069 (8*2π)/10513 weeks
9.15889 .2984 (9*2π)/10512 weeks
10.11544 .1519 (10*2π)/10511 weeks
11.19301 .08043 (11*2π)/10510 weeks
12.24161 .17778 (12*2π)/1059 weeks
13.2113 .22373 (13*2π)/1058 weeks
14.22653 .23981 (14*2π)/1058 weeks
15.17651 .2035 (15*2π)/1057 weeks
16.0763 .16272 (16*2π)/1057 weeks
17.12989 .18107 (17*2π)/1056 weeks
18.08285 .17694 (18*2π)/1056 weeks
19.15291 .12816 (19*2π)/1056 weeks
20.10259 .13628 (20*2π)/1055 weeks
21.08912 .10816 (21*2π)/1055 weeks
22.12365 .11615 (22*2π)/1055 weeks
23.09208 .11037 (23*2π)/1055 weeks
24.08703 .09694 (24*2π)/1054 weeks
25.0789 .07172 (25*2π)/1054 weeks
26.11939 .07074 (26*2π)/1054 weeks
27.13733 .11649 (27*2π)/1054 weeks
28.08636 .10339 (28*2π)/1054 weeks
29.09008 .08328 (29*2π)/1054 weeks
30.07207 .05077 (30*2π)/1054 weeks
31.10614 .07159 (31*2π)/1053 weeks
32.10393 .07781 (32*2π)/1053 weeks
33.07764 .07805 (33*2π)/1053 weeks
34.07165 .05307 (34*2π)/1053 weeks
35.10122 .05015 (35*2π)/1053 weeks
36.10589 .05768 (36*2π)/1053 weeks
37.06941 .04731 (37*2π)/1053 weeks
38.06919 .02727 (38*2π)/1053 weeks
39.08916 .03834 (39*2π)/1053 weeks
40.09498 .03585 (40*2π)/1053 weeks
41.09853 .02566 (41*2π)/1053 weeks
42.09208 .02081 (42*2π)/1053 weeks
43.09293 .00406 (43*2π)/1052 weeks
44.09137 .04391 (44*2π)/1052 weeks
45.08289 .04226 (45*2π)/1052 weeks
46.09887 -.00053 (46*2π)/1052 weeks
47.11367 -.02088 (47*2π)/1052 weeks
48.11825 .00585 (48*2π)/1052 weeks
49.09386 .04788 (49*2π)/1052 weeks
50.05742 .02759 (50*2π)/1052 weeks
51.07515 -.02854 (51*2π)/1052 weeks
52.12526 -.00229 (52*2π)/1052 weeks
53.12526 .00229 (53*2π)/1052 weeks
54.07515 .02854 (54*2π)/1052 weeks
55.05742 -.02759 (55*2π)/1052 weeks
56.09386 -.04788 (56*2π)/1052 weeks
57.11825 -.00585 (57*2π)/1052 weeks
58.11367 .02088 (58*2π)/1052 weeks
59.09887 .00053 (59*2π)/1052 weeks
60.08289 -.04226 (60*2π)/1052 weeks
61.09137 -.04391 (61*2π)/1052 weeks
62.09293 -.00406 (62*2π)/1052 weeks
63.09208 -.02081 (63*2π)/1052 weeks
64.09853 -.02566 (64*2π)/1052 weeks
65.09498 -.03585 (65*2π)/1052 weeks
66.08916 -.03834 (66*2π)/1052 weeks
67.06919 -.02727 (67*2π)/1052 weeks
68.06941 -.04731 (68*2π)/1052 weeks
69.10589 -.05768 (69*2π)/1052 weeks
70.10122 -.05015 (70*2π)/1052 weeks
71.07165 -.05307 (71*2π)/1051 weeks
72.07764 -.07805 (72*2π)/1051 weeks
73.10393 -.07781 (73*2π)/1051 weeks
74.10614 -.07159 (74*2π)/1051 weeks
75.07207 -.05077 (75*2π)/1051 weeks
76.09008 -.08328 (76*2π)/1051 weeks
77.08636 -.10339 (77*2π)/1051 weeks
78.13733 -.11649 (78*2π)/1051 weeks
79.11939 -.07074 (79*2π)/1051 weeks
80.0789 -.07172 (80*2π)/1051 weeks
81.08703 -.09694 (81*2π)/1051 weeks
82.09208 -.11037 (82*2π)/1051 weeks
83.12365 -.11615 (83*2π)/1051 weeks
84.08912 -.10816 (84*2π)/1051 weeks
85.10259 -.13628 (85*2π)/1051 weeks
86.15291 -.12816 (86*2π)/1051 weeks
87.08285 -.17694 (87*2π)/1051 weeks
88.12989 -.18107 (88*2π)/1051 weeks
89.0763 -.16272 (89*2π)/1051 weeks
90.17651 -.2035 (90*2π)/1051 weeks
91.22653 -.23981 (91*2π)/1051 weeks
92.2113 -.22373 (92*2π)/1051 weeks
93.24161 -.17778 (93*2π)/1051 weeks
94.19301 -.08043 (94*2π)/1051 weeks
95.11544 -.1519 (95*2π)/1051 weeks
96.15889 -.2984 (96*2π)/1051 weeks
97.12857 -.23069 (97*2π)/1051 weeks
98.16546 -.16029 (98*2π)/1051 weeks
99.14741 -.09222 (99*2π)/1051 weeks
100-.01228 -.43828 (100*2π)/1051 weeks
101-.11966 -.86576 (101*2π)/1051 weeks
102-.02021 -.86633 (102*2π)/1051 weeks
103.27421 -1.29456 (103*2π)/1051 weeks

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