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Fourier Analysis of GOGO (Gogo Inc)


GOGO (Gogo Inc) appears to have interesting cyclic behaviour every 13 weeks (.5125*cosine), 13 weeks (.5012*sine), and 13 weeks (.4535*sine).

GOGO (Gogo Inc) has an average price of 15.19 (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 6/21/2013 to 10/16/2017 for GOGO (Gogo Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
015.1948   0 
1-.83343 4.63453 (1*2π)/227227 weeks
21.4455 1.17064 (2*2π)/227114 weeks
3-1.84919 1.12649 (3*2π)/22776 weeks
4-1.02407 -.30367 (4*2π)/22757 weeks
5-.74477 -.51868 (5*2π)/22745 weeks
6-1.30106 -1.16121 (6*2π)/22738 weeks
7.99689 -.26598 (7*2π)/22732 weeks
8.14762 -.46067 (8*2π)/22728 weeks
9.80526 -.27471 (9*2π)/22725 weeks
10-.02119 -.19995 (10*2π)/22723 weeks
11.31208 .36647 (11*2π)/22721 weeks
12.27814 -.15053 (12*2π)/22719 weeks
13-.2219 .39624 (13*2π)/22717 weeks
14-.44207 .41775 (14*2π)/22716 weeks
15-.20599 -.09507 (15*2π)/22715 weeks
16-.2248 -.3037 (16*2π)/22714 weeks
17.39246 -.50122 (17*2π)/22713 weeks
18.51247 .45351 (18*2π)/22713 weeks
19.18645 .41777 (19*2π)/22712 weeks
20.04467 .26104 (20*2π)/22711 weeks
21.13414 .20973 (21*2π)/22711 weeks
22.06783 .27203 (22*2π)/22710 weeks
23-.10195 .34006 (23*2π)/22710 weeks
24-.43036 .2418 (24*2π)/2279 weeks
25-.25273 .08388 (25*2π)/2279 weeks
26-.14688 -.00547 (26*2π)/2279 weeks
27-.13119 -.13219 (27*2π)/2278 weeks
28.21549 -.23307 (28*2π)/2278 weeks
29.10249 .02195 (29*2π)/2278 weeks
30.13588 -.21675 (30*2π)/2278 weeks
31.21732 -.02609 (31*2π)/2277 weeks
32.13528 .21957 (32*2π)/2277 weeks
33-.02378 .2427 (33*2π)/2277 weeks
34.00593 .06969 (34*2π)/2277 weeks
35.08996 -.07258 (35*2π)/2276 weeks
36.09697 -.01957 (36*2π)/2276 weeks
37.17707 -.07909 (37*2π)/2276 weeks
38.15419 .15145 (38*2π)/2276 weeks
39-.20521 .18432 (39*2π)/2276 weeks
40.04898 -.01336 (40*2π)/2276 weeks
41-.02566 -.16288 (41*2π)/2276 weeks
42-.02229 .09219 (42*2π)/2275 weeks
43.20869 .011 (43*2π)/2275 weeks
44-.25917 .02636 (44*2π)/2275 weeks
45.01113 -.08663 (45*2π)/2275 weeks
46-.01501 .05338 (46*2π)/2275 weeks
47.03473 -.02482 (47*2π)/2275 weeks
48.11992 .07168 (48*2π)/2275 weeks
49-.07361 .02695 (49*2π)/2275 weeks
50.01693 -.03764 (50*2π)/2275 weeks
51.05976 -.1154 (51*2π)/2274 weeks
52.07927 .02088 (52*2π)/2274 weeks
53.0412 .05452 (53*2π)/2274 weeks
54-.01532 -.03028 (54*2π)/2274 weeks
55.18678 .01914 (55*2π)/2274 weeks
56.13993 .04014 (56*2π)/2274 weeks
57.04587 .20313 (57*2π)/2274 weeks
58-.0982 .0407 (58*2π)/2274 weeks
59-.03208 .09439 (59*2π)/2274 weeks
60-.08304 .01029 (60*2π)/2274 weeks
61.01278 -.00266 (61*2π)/2274 weeks
62.07533 -.10757 (62*2π)/2274 weeks
63-.018 .00704 (63*2π)/2274 weeks
64.15092 -.05597 (64*2π)/2274 weeks
65-.00494 -.07638 (65*2π)/2273 weeks
66.14535 .02037 (66*2π)/2273 weeks
67.11155 .04399 (67*2π)/2273 weeks
68.09163 .21943 (68*2π)/2273 weeks
69-.02412 .12279 (69*2π)/2273 weeks
70-.20997 .05191 (70*2π)/2273 weeks
71.04039 -.1051 (71*2π)/2273 weeks
72.06921 -.12675 (72*2π)/2273 weeks
73.09283 -.02363 (73*2π)/2273 weeks
74.18136 .00072 (74*2π)/2273 weeks
75.19075 .07867 (75*2π)/2273 weeks
76.09243 .17873 (76*2π)/2273 weeks
77.07649 .0043 (77*2π)/2273 weeks
78-.07094 .13042 (78*2π)/2273 weeks
79-.05737 .02223 (79*2π)/2273 weeks
80-.08081 -.08532 (80*2π)/2273 weeks
81-.02132 -.09297 (81*2π)/2273 weeks
82.11672 -.09661 (82*2π)/2273 weeks
83.06 -.03512 (83*2π)/2273 weeks
84.14251 -.08924 (84*2π)/2273 weeks
85.12982 .06022 (85*2π)/2273 weeks
86.05238 .0424 (86*2π)/2273 weeks
87.05079 .05376 (87*2π)/2273 weeks
88.01732 .10146 (88*2π)/2273 weeks
89-.01785 .09617 (89*2π)/2273 weeks
90-.09693 .02621 (90*2π)/2273 weeks
91-.06278 -.01556 (91*2π)/2272 weeks
92.0911 -.04526 (92*2π)/2272 weeks
93.09572 -.05092 (93*2π)/2272 weeks
94.03784 .1141 (94*2π)/2272 weeks
95.11156 -.06863 (95*2π)/2272 weeks
96-.02033 .01808 (96*2π)/2272 weeks
97.08533 .03604 (97*2π)/2272 weeks
98-.03729 .07835 (98*2π)/2272 weeks
99.11364 .08146 (99*2π)/2272 weeks
100-.06313 .02743 (100*2π)/2272 weeks
101-.05488 .04385 (101*2π)/2272 weeks
102-.04305 -.10022 (102*2π)/2272 weeks
103-.00284 -.00132 (103*2π)/2272 weeks
104.06161 -.09745 (104*2π)/2272 weeks
105.0966 .04498 (105*2π)/2272 weeks
106-.02398 .0086 (106*2π)/2272 weeks
107.00356 -.00431 (107*2π)/2272 weeks
108.07626 -.08063 (108*2π)/2272 weeks
109.02011 -.02269 (109*2π)/2272 weeks
110.13858 .06711 (110*2π)/2272 weeks
111.00545 -.03477 (111*2π)/2272 weeks
112.0664 .14743 (112*2π)/2272 weeks
113-.05095 -.01233 (113*2π)/2272 weeks
114-.05095 .01233 (114*2π)/2272 weeks
115.0664 -.14743 (115*2π)/2272 weeks
116.00545 .03477 (116*2π)/2272 weeks
117.13858 -.06711 (117*2π)/2272 weeks
118.02011 .02269 (118*2π)/2272 weeks
119.07626 .08063 (119*2π)/2272 weeks
120.00356 .00431 (120*2π)/2272 weeks
121-.02398 -.0086 (121*2π)/2272 weeks
122.0966 -.04498 (122*2π)/2272 weeks
123.06161 .09745 (123*2π)/2272 weeks
124-.00284 .00132 (124*2π)/2272 weeks
125-.04305 .10022 (125*2π)/2272 weeks
126-.05488 -.04385 (126*2π)/2272 weeks
127-.06313 -.02743 (127*2π)/2272 weeks
128.11364 -.08146 (128*2π)/2272 weeks
129-.03729 -.07835 (129*2π)/2272 weeks
130.08533 -.03604 (130*2π)/2272 weeks
131-.02033 -.01808 (131*2π)/2272 weeks
132.11156 .06863 (132*2π)/2272 weeks
133.03784 -.1141 (133*2π)/2272 weeks
134.09572 .05092 (134*2π)/2272 weeks
135.0911 .04526 (135*2π)/2272 weeks
136-.06278 .01556 (136*2π)/2272 weeks
137-.09693 -.02621 (137*2π)/2272 weeks
138-.01785 -.09617 (138*2π)/2272 weeks
139.01732 -.10146 (139*2π)/2272 weeks
140.05079 -.05376 (140*2π)/2272 weeks
141.05238 -.0424 (141*2π)/2272 weeks
142.12982 -.06022 (142*2π)/2272 weeks
143.14251 .08924 (143*2π)/2272 weeks
144.06 .03512 (144*2π)/2272 weeks
145.11672 .09661 (145*2π)/2272 weeks
146-.02132 .09297 (146*2π)/2272 weeks
147-.08081 .08532 (147*2π)/2272 weeks
148-.05737 -.02223 (148*2π)/2272 weeks
149-.07094 -.13042 (149*2π)/2272 weeks
150.07649 -.0043 (150*2π)/2272 weeks
151.09243 -.17873 (151*2π)/2272 weeks
152.19075 -.07867 (152*2π)/2271 weeks
153.18136 -.00072 (153*2π)/2271 weeks
154.09283 .02363 (154*2π)/2271 weeks
155.06921 .12675 (155*2π)/2271 weeks
156.04039 .1051 (156*2π)/2271 weeks
157-.20997 -.05191 (157*2π)/2271 weeks
158-.02412 -.12279 (158*2π)/2271 weeks
159.09163 -.21943 (159*2π)/2271 weeks
160.11155 -.04399 (160*2π)/2271 weeks
161.14535 -.02037 (161*2π)/2271 weeks
162-.00494 .07638 (162*2π)/2271 weeks
163.15092 .05597 (163*2π)/2271 weeks
164-.018 -.00704 (164*2π)/2271 weeks
165.07533 .10757 (165*2π)/2271 weeks
166.01278 .00266 (166*2π)/2271 weeks
167-.08304 -.01029 (167*2π)/2271 weeks
168-.03208 -.09439 (168*2π)/2271 weeks
169-.0982 -.0407 (169*2π)/2271 weeks
170.04587 -.20313 (170*2π)/2271 weeks
171.13993 -.04014 (171*2π)/2271 weeks
172.18678 -.01914 (172*2π)/2271 weeks
173-.01532 .03028 (173*2π)/2271 weeks
174.0412 -.05452 (174*2π)/2271 weeks
175.07927 -.02088 (175*2π)/2271 weeks
176.05976 .1154 (176*2π)/2271 weeks
177.01693 .03764 (177*2π)/2271 weeks
178-.07361 -.02695 (178*2π)/2271 weeks
179.11992 -.07168 (179*2π)/2271 weeks
180.03473 .02482 (180*2π)/2271 weeks
181-.01501 -.05338 (181*2π)/2271 weeks
182.01113 .08663 (182*2π)/2271 weeks
183-.25917 -.02636 (183*2π)/2271 weeks
184.20869 -.011 (184*2π)/2271 weeks
185-.02229 -.09219 (185*2π)/2271 weeks
186-.02566 .16288 (186*2π)/2271 weeks
187.04898 .01336 (187*2π)/2271 weeks
188-.20521 -.18432 (188*2π)/2271 weeks
189.15419 -.15145 (189*2π)/2271 weeks
190.17707 .07909 (190*2π)/2271 weeks
191.09697 .01957 (191*2π)/2271 weeks
192.08996 .07258 (192*2π)/2271 weeks
193.00593 -.06969 (193*2π)/2271 weeks
194-.02378 -.2427 (194*2π)/2271 weeks
195.13528 -.21957 (195*2π)/2271 weeks
196.21732 .02609 (196*2π)/2271 weeks
197.13588 .21675 (197*2π)/2271 weeks
198.10249 -.02195 (198*2π)/2271 weeks
199.21549 .23307 (199*2π)/2271 weeks
200-.13119 .13219 (200*2π)/2271 weeks
201-.14688 .00547 (201*2π)/2271 weeks
202-.25273 -.08388 (202*2π)/2271 weeks
203-.43036 -.2418 (203*2π)/2271 weeks
204-.10195 -.34006 (204*2π)/2271 weeks
205.06783 -.27203 (205*2π)/2271 weeks
206.13414 -.20973 (206*2π)/2271 weeks
207.04467 -.26104 (207*2π)/2271 weeks
208.18645 -.41777 (208*2π)/2271 weeks
209.51247 -.45351 (209*2π)/2271 weeks
210.39246 .50122 (210*2π)/2271 weeks
211-.2248 .3037 (211*2π)/2271 weeks
212-.20599 .09507 (212*2π)/2271 weeks
213-.44207 -.41775 (213*2π)/2271 weeks
214-.2219 -.39624 (214*2π)/2271 weeks
215.27814 .15053 (215*2π)/2271 weeks
216.31208 -.36647 (216*2π)/2271 weeks
217-.02119 .19995 (217*2π)/2271 weeks
218.80526 .27471 (218*2π)/2271 weeks
219.14762 .46067 (219*2π)/2271 weeks
220.99689 .26598 (220*2π)/2271 weeks
221-1.30106 1.16121 (221*2π)/2271 weeks
222-.74477 .51868 (222*2π)/2271 weeks
223-1.02407 .30367 (223*2π)/2271 weeks
224-1.84919 -1.12649 (224*2π)/2271 weeks
2251.4455 -1.17064 (225*2π)/2271 weeks



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