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Fourier Analysis of AAOI (Applied Optoelectronics, Inc.)


AAOI (Applied Optoelectronics, Inc.) appears to have interesting cyclic behaviour every 8 weeks (.9447*sine), 17 weeks (.7844*cosine), and 13 weeks (.7487*cosine).

AAOI (Applied Optoelectronics, Inc.) has an average price of 16.45 (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 9/26/2013 to 11/28/2016 for AAOI (Applied Optoelectronics, Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
016.44943   0 
1.65541 .86647 (1*2π)/167167 weeks
2-1.00919 2.96178 (2*2π)/16784 weeks
3.30086 -3.15659 (3*2π)/16756 weeks
41.05612 -1.37198 (4*2π)/16742 weeks
5.11096 -2.02462 (5*2π)/16733 weeks
6-.11884 -1.60489 (6*2π)/16728 weeks
7-.17428 -.14217 (7*2π)/16724 weeks
8-.01458 .10278 (8*2π)/16721 weeks
9-.07321 .06574 (9*2π)/16719 weeks
10-.78437 -.62564 (10*2π)/16717 weeks
11-.7396 -.74135 (11*2π)/16715 weeks
12.0814 -.56182 (12*2π)/16714 weeks
13.74865 -.64878 (13*2π)/16713 weeks
14.34103 -.07206 (14*2π)/16712 weeks
15.06793 -.26721 (15*2π)/16711 weeks
16-.30536 -.22621 (16*2π)/16710 weeks
17.25654 -.47256 (17*2π)/16710 weeks
18-.4314 -.14656 (18*2π)/1679 weeks
19-.52877 -.39757 (19*2π)/1679 weeks
20-.02822 -.94475 (20*2π)/1678 weeks
21-.12143 -.34125 (21*2π)/1678 weeks
22-.29304 -.34032 (22*2π)/1678 weeks
23-.02748 -.09168 (23*2π)/1677 weeks
24-.23077 .02652 (24*2π)/1677 weeks
25-.37021 -.05674 (25*2π)/1677 weeks
26-.29963 -.4438 (26*2π)/1676 weeks
27-.28354 -.3316 (27*2π)/1676 weeks
28-.02322 -.19881 (28*2π)/1676 weeks
29.01197 .0023 (29*2π)/1676 weeks
30-.14026 -.02026 (30*2π)/1676 weeks
31-.08829 -.22485 (31*2π)/1675 weeks
32-.23932 -.19219 (32*2π)/1675 weeks
33-.02833 .19504 (33*2π)/1675 weeks
34-.06549 -.02231 (34*2π)/1675 weeks
35-.20528 -.05472 (35*2π)/1675 weeks
36-.25705 .12976 (36*2π)/1675 weeks
37-.02423 -.10844 (37*2π)/1675 weeks
38.18291 -.27225 (38*2π)/1674 weeks
39.04387 -.00675 (39*2π)/1674 weeks
40-.09687 .08517 (40*2π)/1674 weeks
41-.04285 -.02735 (41*2π)/1674 weeks
42-.35397 -.04773 (42*2π)/1674 weeks
43-.08825 .0075 (43*2π)/1674 weeks
44.07317 -.22936 (44*2π)/1674 weeks
45-.04117 -.0384 (45*2π)/1674 weeks
46-.05263 -.00569 (46*2π)/1674 weeks
47-.14694 -.02484 (47*2π)/1674 weeks
48.03205 .08825 (48*2π)/1673 weeks
49.00671 -.12532 (49*2π)/1673 weeks
50-.11982 -.07307 (50*2π)/1673 weeks
51-.2067 -.09107 (51*2π)/1673 weeks
52.02009 .07501 (52*2π)/1673 weeks
53-.04173 -.06386 (53*2π)/1673 weeks
54-.06847 .03676 (54*2π)/1673 weeks
55.06208 -.10398 (55*2π)/1673 weeks
56-.13819 -.01761 (56*2π)/1673 weeks
57.0211 .02139 (57*2π)/1673 weeks
58.00485 -.1218 (58*2π)/1673 weeks
59-.21966 -.02253 (59*2π)/1673 weeks
60-.12416 -.18975 (60*2π)/1673 weeks
61-.2061 -.12957 (61*2π)/1673 weeks
62-.13839 .02189 (62*2π)/1673 weeks
63-.01675 -.02558 (63*2π)/1673 weeks
64-.09924 .10627 (64*2π)/1673 weeks
65-.07874 -.018 (65*2π)/1673 weeks
66.00812 .0794 (66*2π)/1673 weeks
67-.08525 .01868 (67*2π)/1672 weeks
68-.14555 .03499 (68*2π)/1672 weeks
69-.09318 -.20805 (69*2π)/1672 weeks
70.05057 .01622 (70*2π)/1672 weeks
71-.14011 -.02319 (71*2π)/1672 weeks
72-.04364 .01748 (72*2π)/1672 weeks
73-.04224 .04868 (73*2π)/1672 weeks
74-.05007 -.0055 (74*2π)/1672 weeks
75.01127 -.12665 (75*2π)/1672 weeks
76-.11126 .0089 (76*2π)/1672 weeks
77-.12376 .01125 (77*2π)/1672 weeks
78-.06828 -.04252 (78*2π)/1672 weeks
79-.09926 -.05554 (79*2π)/1672 weeks
80-.06739 -.07568 (80*2π)/1672 weeks
81-.05904 .00283 (81*2π)/1672 weeks
82-.03555 .10652 (82*2π)/1672 weeks
83-.14649 -.03021 (83*2π)/1672 weeks
84-.14649 .03021 (84*2π)/1672 weeks
85-.03555 -.10652 (85*2π)/1672 weeks
86-.05904 -.00283 (86*2π)/1672 weeks
87-.06739 .07568 (87*2π)/1672 weeks
88-.09926 .05554 (88*2π)/1672 weeks
89-.06828 .04252 (89*2π)/1672 weeks
90-.12376 -.01125 (90*2π)/1672 weeks
91-.11126 -.0089 (91*2π)/1672 weeks
92.01127 .12665 (92*2π)/1672 weeks
93-.05007 .0055 (93*2π)/1672 weeks
94-.04224 -.04868 (94*2π)/1672 weeks
95-.04364 -.01748 (95*2π)/1672 weeks
96-.14011 .02319 (96*2π)/1672 weeks
97.05057 -.01622 (97*2π)/1672 weeks
98-.09318 .20805 (98*2π)/1672 weeks
99-.14555 -.03499 (99*2π)/1672 weeks
100-.08525 -.01868 (100*2π)/1672 weeks
101.00812 -.0794 (101*2π)/1672 weeks
102-.07874 .018 (102*2π)/1672 weeks
103-.09924 -.10627 (103*2π)/1672 weeks
104-.01675 .02558 (104*2π)/1672 weeks
105-.13839 -.02189 (105*2π)/1672 weeks
106-.2061 .12957 (106*2π)/1672 weeks
107-.12416 .18975 (107*2π)/1672 weeks
108-.21966 .02253 (108*2π)/1672 weeks
109.00485 .1218 (109*2π)/1672 weeks
110.0211 -.02139 (110*2π)/1672 weeks
111-.13819 .01761 (111*2π)/1672 weeks
112.06208 .10398 (112*2π)/1671 weeks
113-.06847 -.03676 (113*2π)/1671 weeks
114-.04173 .06386 (114*2π)/1671 weeks
115.02009 -.07501 (115*2π)/1671 weeks
116-.2067 .09107 (116*2π)/1671 weeks
117-.11982 .07307 (117*2π)/1671 weeks
118.00671 .12532 (118*2π)/1671 weeks
119.03205 -.08825 (119*2π)/1671 weeks
120-.14694 .02484 (120*2π)/1671 weeks
121-.05263 .00569 (121*2π)/1671 weeks
122-.04117 .0384 (122*2π)/1671 weeks
123.07317 .22936 (123*2π)/1671 weeks
124-.08825 -.0075 (124*2π)/1671 weeks
125-.35397 .04773 (125*2π)/1671 weeks
126-.04285 .02735 (126*2π)/1671 weeks
127-.09687 -.08517 (127*2π)/1671 weeks
128.04387 .00675 (128*2π)/1671 weeks
129.18291 .27225 (129*2π)/1671 weeks
130-.02423 .10844 (130*2π)/1671 weeks
131-.25705 -.12976 (131*2π)/1671 weeks
132-.20528 .05472 (132*2π)/1671 weeks
133-.06549 .02231 (133*2π)/1671 weeks
134-.02833 -.19504 (134*2π)/1671 weeks
135-.23932 .19219 (135*2π)/1671 weeks
136-.08829 .22485 (136*2π)/1671 weeks
137-.14026 .02026 (137*2π)/1671 weeks
138.01197 -.0023 (138*2π)/1671 weeks
139-.02322 .19881 (139*2π)/1671 weeks
140-.28354 .3316 (140*2π)/1671 weeks
141-.29963 .4438 (141*2π)/1671 weeks
142-.37021 .05674 (142*2π)/1671 weeks
143-.23077 -.02652 (143*2π)/1671 weeks
144-.02748 .09168 (144*2π)/1671 weeks
145-.29304 .34032 (145*2π)/1671 weeks
146-.12143 .34125 (146*2π)/1671 weeks
147-.02822 .94475 (147*2π)/1671 weeks
148-.52877 .39757 (148*2π)/1671 weeks
149-.4314 .14656 (149*2π)/1671 weeks
150.25654 .47256 (150*2π)/1671 weeks
151-.30536 .22621 (151*2π)/1671 weeks
152.06793 .26721 (152*2π)/1671 weeks
153.34103 .07206 (153*2π)/1671 weeks
154.74865 .64878 (154*2π)/1671 weeks
155.0814 .56182 (155*2π)/1671 weeks
156-.7396 .74135 (156*2π)/1671 weeks
157-.78437 .62564 (157*2π)/1671 weeks
158-.07321 -.06574 (158*2π)/1671 weeks
159-.01458 -.10278 (159*2π)/1671 weeks
160-.17428 .14217 (160*2π)/1671 weeks
161-.11884 1.60489 (161*2π)/1671 weeks
162.11096 2.02462 (162*2π)/1671 weeks
1631.05612 1.37198 (163*2π)/1671 weeks
164.30086 3.15659 (164*2π)/1671 weeks
165-1.00919 -2.96178 (165*2π)/1671 weeks

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