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Fourier Analysis of ATEN (A10 Networks, Inc. Common Stock)


ATEN (A10 Networks, Inc. Common Stock) appears to have interesting cyclic behaviour every 12 weeks (.423*sine), 13 weeks (.4059*cosine), and 14 weeks (.3103*cosine).

ATEN (A10 Networks, Inc. Common Stock) has an average price of 7.49 (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 3/21/2014 to 12/5/2016 for ATEN (A10 Networks, Inc. Common Stock), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
07.48986   0 
12.70593 .00288 (1*2π)/143143 weeks
21.782 1.38384 (2*2π)/14372 weeks
3-.26122 .63879 (3*2π)/14348 weeks
4-.58181 .15238 (4*2π)/14336 weeks
5-.24838 -.04546 (5*2π)/14329 weeks
6.17148 -.08999 (6*2π)/14324 weeks
7.35714 .7673 (7*2π)/14320 weeks
8.11618 .56182 (8*2π)/14318 weeks
9.06897 .26842 (9*2π)/14316 weeks
10.31034 .30849 (10*2π)/14314 weeks
11.40587 .06784 (11*2π)/14313 weeks
12.19081 .42302 (12*2π)/14312 weeks
13.08667 .25029 (13*2π)/14311 weeks
14-.12314 .31491 (14*2π)/14310 weeks
15-.0672 -.0749 (15*2π)/14310 weeks
16.11617 -.04372 (16*2π)/1439 weeks
17.18511 .08299 (17*2π)/1438 weeks
18.09191 .14358 (18*2π)/1438 weeks
19-.08858 .04291 (19*2π)/1438 weeks
20.03077 .08969 (20*2π)/1437 weeks
21.02243 -.03049 (21*2π)/1437 weeks
22.07845 .07637 (22*2π)/1437 weeks
23-.00211 .09021 (23*2π)/1436 weeks
24.05552 .17693 (24*2π)/1436 weeks
25.06179 .06793 (25*2π)/1436 weeks
26.13274 .10651 (26*2π)/1436 weeks
27.04586 .12623 (27*2π)/1435 weeks
28.03172 .10671 (28*2π)/1435 weeks
29-.02474 .01205 (29*2π)/1435 weeks
30.07196 -.00416 (30*2π)/1435 weeks
31.15047 .03198 (31*2π)/1435 weeks
32.13443 .12195 (32*2π)/1434 weeks
33.06798 .12723 (33*2π)/1434 weeks
34.06643 .10546 (34*2π)/1434 weeks
35.07584 -.02433 (35*2π)/1434 weeks
36.13404 .05338 (36*2π)/1434 weeks
37.20668 -.01348 (37*2π)/1434 weeks
38.11456 .0421 (38*2π)/1434 weeks
39.07021 .05608 (39*2π)/1434 weeks
40.08352 -.00124 (40*2π)/1434 weeks
41.07577 .0941 (41*2π)/1433 weeks
42.12369 .10091 (42*2π)/1433 weeks
43.01501 .0614 (43*2π)/1433 weeks
44.04034 .02278 (44*2π)/1433 weeks
45-.00096 .02238 (45*2π)/1433 weeks
46.09598 .03602 (46*2π)/1433 weeks
47.08175 .02881 (47*2π)/1433 weeks
48.05959 .13724 (48*2π)/1433 weeks
49.04018 .11321 (49*2π)/1433 weeks
50.06014 .05581 (50*2π)/1433 weeks
51.06109 .0154 (51*2π)/1433 weeks
52.0451 .01454 (52*2π)/1433 weeks
53.03381 .01242 (53*2π)/1433 weeks
54.0316 -.04968 (54*2π)/1433 weeks
55.0656 -.05867 (55*2π)/1433 weeks
56.10373 -.02781 (56*2π)/1433 weeks
57.09072 -.00452 (57*2π)/1433 weeks
58.11118 .01621 (58*2π)/1432 weeks
59.05207 .0319 (59*2π)/1432 weeks
60-.00329 -.02601 (60*2π)/1432 weeks
61.01666 -.02246 (61*2π)/1432 weeks
62.03772 -.01871 (62*2π)/1432 weeks
63.0297 .02293 (63*2π)/1432 weeks
64-.0005 -.04376 (64*2π)/1432 weeks
65.05925 -.01726 (65*2π)/1432 weeks
66.11372 -.00901 (66*2π)/1432 weeks
67.06668 -.01753 (67*2π)/1432 weeks
68.11753 -.01467 (68*2π)/1432 weeks
69.06946 .02994 (69*2π)/1432 weeks
70.07531 -.07488 (70*2π)/1432 weeks
71.12474 -.00376 (71*2π)/1432 weeks
72.12474 .00376 (72*2π)/1432 weeks
73.07531 .07488 (73*2π)/1432 weeks
74.06946 -.02994 (74*2π)/1432 weeks
75.11753 .01467 (75*2π)/1432 weeks
76.06668 .01753 (76*2π)/1432 weeks
77.11372 .00901 (77*2π)/1432 weeks
78.05925 .01726 (78*2π)/1432 weeks
79-.0005 .04376 (79*2π)/1432 weeks
80.0297 -.02293 (80*2π)/1432 weeks
81.03772 .01871 (81*2π)/1432 weeks
82.01666 .02246 (82*2π)/1432 weeks
83-.00329 .02601 (83*2π)/1432 weeks
84.05207 -.0319 (84*2π)/1432 weeks
85.11118 -.01621 (85*2π)/1432 weeks
86.09072 .00452 (86*2π)/1432 weeks
87.10373 .02781 (87*2π)/1432 weeks
88.0656 .05867 (88*2π)/1432 weeks
89.0316 .04968 (89*2π)/1432 weeks
90.03381 -.01242 (90*2π)/1432 weeks
91.0451 -.01454 (91*2π)/1432 weeks
92.06109 -.0154 (92*2π)/1432 weeks
93.06014 -.05581 (93*2π)/1432 weeks
94.04018 -.11321 (94*2π)/1432 weeks
95.05959 -.13724 (95*2π)/1432 weeks
96.08175 -.02881 (96*2π)/1431 weeks
97.09598 -.03602 (97*2π)/1431 weeks
98-.00096 -.02238 (98*2π)/1431 weeks
99.04034 -.02278 (99*2π)/1431 weeks
100.01501 -.0614 (100*2π)/1431 weeks
101.12369 -.10091 (101*2π)/1431 weeks
102.07577 -.0941 (102*2π)/1431 weeks
103.08352 .00124 (103*2π)/1431 weeks
104.07021 -.05608 (104*2π)/1431 weeks
105.11456 -.0421 (105*2π)/1431 weeks
106.20668 .01348 (106*2π)/1431 weeks
107.13404 -.05338 (107*2π)/1431 weeks
108.07584 .02433 (108*2π)/1431 weeks
109.06643 -.10546 (109*2π)/1431 weeks
110.06798 -.12723 (110*2π)/1431 weeks
111.13443 -.12195 (111*2π)/1431 weeks
112.15047 -.03198 (112*2π)/1431 weeks
113.07196 .00416 (113*2π)/1431 weeks
114-.02474 -.01205 (114*2π)/1431 weeks
115.03172 -.10671 (115*2π)/1431 weeks
116.04586 -.12623 (116*2π)/1431 weeks
117.13274 -.10651 (117*2π)/1431 weeks
118.06179 -.06793 (118*2π)/1431 weeks
119.05552 -.17693 (119*2π)/1431 weeks
120-.00211 -.09021 (120*2π)/1431 weeks
121.07845 -.07637 (121*2π)/1431 weeks
122.02243 .03049 (122*2π)/1431 weeks
123.03077 -.08969 (123*2π)/1431 weeks
124-.08858 -.04291 (124*2π)/1431 weeks
125.09191 -.14358 (125*2π)/1431 weeks
126.18511 -.08299 (126*2π)/1431 weeks
127.11617 .04372 (127*2π)/1431 weeks
128-.0672 .0749 (128*2π)/1431 weeks
129-.12314 -.31491 (129*2π)/1431 weeks
130.08667 -.25029 (130*2π)/1431 weeks
131.19081 -.42302 (131*2π)/1431 weeks
132.40587 -.06784 (132*2π)/1431 weeks
133.31034 -.30849 (133*2π)/1431 weeks
134.06897 -.26842 (134*2π)/1431 weeks
135.11618 -.56182 (135*2π)/1431 weeks
136.35714 -.7673 (136*2π)/1431 weeks
137.17148 .08999 (137*2π)/1431 weeks
138-.24838 .04546 (138*2π)/1431 weeks
139-.58181 -.15238 (139*2π)/1431 weeks
140-.26122 -.63879 (140*2π)/1431 weeks
1411.782 -1.38384 (141*2π)/1431 weeks

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