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Fourier Analysis of BB


BB appears to have interesting cyclic behaviour every 9 weeks (3.3126*sine), 10 weeks (2.83*sine), and 5 weeks (2.48*cosine).

BB has an average price of 28.67 (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 12/27/2007 to 3/13/2017 for BB, this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
028.66775   0 
133.81382 21.7893 (1*2π)/153153 weeks
214.52742 29.62796 (2*2π)/15377 weeks
3-1.7826 24.69451 (3*2π)/15351 weeks
4-8.73496 12.59916 (4*2π)/15338 weeks
5-5.54734 3.91184 (5*2π)/15331 weeks
6-.4377 1.48126 (6*2π)/15326 weeks
71.73943 3.23598 (7*2π)/15322 weeks
8.75357 4.58873 (8*2π)/15319 weeks
9-.54555 3.67169 (9*2π)/15317 weeks
10-.57905 2.14134 (10*2π)/15315 weeks
11.40635 1.34096 (11*2π)/15314 weeks
121.01641 1.30319 (12*2π)/15313 weeks
131.27263 1.27283 (13*2π)/15312 weeks
141.76705 1.30037 (14*2π)/15311 weeks
152.37922 1.82883 (15*2π)/15310 weeks
162.05236 2.83001 (16*2π)/15310 weeks
17.695 3.31264 (17*2π)/1539 weeks
18-.47612 2.24585 (18*2π)/1539 weeks
19-.36679 .66856 (19*2π)/1538 weeks
20.95884 .04009 (20*2π)/1538 weeks
212.02345 .75202 (21*2π)/1537 weeks
221.6718 1.74513 (22*2π)/1537 weeks
23.85064 1.90464 (23*2π)/1537 weeks
24.42596 1.239 (24*2π)/1536 weeks
25.82495 .7775 (25*2π)/1536 weeks
261.10077 1.06615 (26*2π)/1536 weeks
27.77018 1.32555 (27*2π)/1536 weeks
28.13979 .91844 (28*2π)/1535 weeks
29.23959 -.07032 (29*2π)/1535 weeks
301.34527 -.5569 (30*2π)/1535 weeks
312.39822 -.01049 (31*2π)/1535 weeks
322.48001 1.24379 (32*2π)/1535 weeks
331.66957 1.87067 (33*2π)/1535 weeks
34.88667 1.57359 (34*2π)/1535 weeks
35.83222 1.05128 (35*2π)/1534 weeks
361.15461 .95194 (36*2π)/1534 weeks
371.06145 1.17195 (37*2π)/1534 weeks
38.7523 1.10289 (38*2π)/1534 weeks
39.78071 .69778 (39*2π)/1534 weeks
401.25659 .57235 (40*2π)/1534 weeks
411.53854 1.11326 (41*2π)/1534 weeks
421.06413 1.71165 (42*2π)/1534 weeks
43.22186 1.5838 (43*2π)/1534 weeks
44-.20201 .78582 (44*2π)/1533 weeks
45.29555 .01822 (45*2π)/1533 weeks
461.0599 .02812 (46*2π)/1533 weeks
471.36471 .65099 (47*2π)/1533 weeks
481.00389 1.21747 (48*2π)/1533 weeks
49.37597 1.13388 (49*2π)/1533 weeks
50.14024 .69547 (50*2π)/1533 weeks
51.25735 .31658 (51*2π)/1533 weeks
52.46043 .26073 (52*2π)/1533 weeks
53.48988 .22627 (53*2π)/1533 weeks
54.58969 .10628 (54*2π)/1533 weeks
55.83687 .09433 (55*2π)/1533 weeks
56.97623 .35165 (56*2π)/1533 weeks
57.69512 .66405 (57*2π)/1533 weeks
58.30007 .51819 (58*2π)/1533 weeks
59.17918 .03598 (59*2π)/1533 weeks
60.5195 -.28082 (60*2π)/1533 weeks
61.85879 -.16545 (61*2π)/1533 weeks
62.83119 .04289 (62*2π)/1532 weeks
63.68242 -.02173 (63*2π)/1532 weeks
64.81301 -.28153 (64*2π)/1532 weeks
651.238 -.28873 (65*2π)/1532 weeks
661.46241 .1993 (66*2π)/1532 weeks
671.14858 .73463 (67*2π)/1532 weeks
68.48999 .75867 (68*2π)/1532 weeks
69.02358 .22017 (69*2π)/1532 weeks
70.2425 -.39534 (70*2π)/1532 weeks
71.69166 -.5798 (71*2π)/1532 weeks
72.93537 -.35537 (72*2π)/1532 weeks
73.83869 -.25141 (73*2π)/1532 weeks
74.85163 -.54923 (74*2π)/1532 weeks
751.27819 -.69629 (75*2π)/1532 weeks
761.80241 -.35308 (76*2π)/1532 weeks
771.80241 .35308 (77*2π)/1532 weeks
781.27819 .69629 (78*2π)/1532 weeks
79.85163 .54923 (79*2π)/1532 weeks
80.83869 .25141 (80*2π)/1532 weeks
81.93537 .35537 (81*2π)/1532 weeks
82.69166 .5798 (82*2π)/1532 weeks
83.2425 .39534 (83*2π)/1532 weeks
84.02358 -.22017 (84*2π)/1532 weeks
85.48999 -.75867 (85*2π)/1532 weeks
861.14858 -.73463 (86*2π)/1532 weeks
871.46241 -.1993 (87*2π)/1532 weeks
881.238 .28873 (88*2π)/1532 weeks
89.81301 .28153 (89*2π)/1532 weeks
90.68242 .02173 (90*2π)/1532 weeks
91.83119 -.04289 (91*2π)/1532 weeks
92.85879 .16545 (92*2π)/1532 weeks
93.5195 .28082 (93*2π)/1532 weeks
94.17918 -.03598 (94*2π)/1532 weeks
95.30007 -.51819 (95*2π)/1532 weeks
96.69512 -.66405 (96*2π)/1532 weeks
97.97623 -.35165 (97*2π)/1532 weeks
98.83687 -.09433 (98*2π)/1532 weeks
99.58969 -.10628 (99*2π)/1532 weeks
100.48988 -.22627 (100*2π)/1532 weeks
101.46043 -.26073 (101*2π)/1532 weeks
102.25735 -.31658 (102*2π)/1532 weeks
103.14024 -.69547 (103*2π)/1531 weeks
104.37597 -1.13388 (104*2π)/1531 weeks
1051.00389 -1.21747 (105*2π)/1531 weeks
1061.36471 -.65099 (106*2π)/1531 weeks
1071.0599 -.02812 (107*2π)/1531 weeks
108.29555 -.01822 (108*2π)/1531 weeks
109-.20201 -.78582 (109*2π)/1531 weeks
110.22186 -1.5838 (110*2π)/1531 weeks
1111.06413 -1.71165 (111*2π)/1531 weeks
1121.53854 -1.11326 (112*2π)/1531 weeks
1131.25659 -.57235 (113*2π)/1531 weeks
114.78071 -.69778 (114*2π)/1531 weeks
115.7523 -1.10289 (115*2π)/1531 weeks
1161.06145 -1.17195 (116*2π)/1531 weeks
1171.15461 -.95194 (117*2π)/1531 weeks
118.83222 -1.05128 (118*2π)/1531 weeks
119.88667 -1.57359 (119*2π)/1531 weeks
1201.66957 -1.87067 (120*2π)/1531 weeks
1212.48001 -1.24379 (121*2π)/1531 weeks
1222.39822 .01049 (122*2π)/1531 weeks
1231.34527 .5569 (123*2π)/1531 weeks
124.23959 .07032 (124*2π)/1531 weeks
125.13979 -.91844 (125*2π)/1531 weeks
126.77018 -1.32555 (126*2π)/1531 weeks
1271.10077 -1.06615 (127*2π)/1531 weeks
128.82495 -.7775 (128*2π)/1531 weeks
129.42596 -1.239 (129*2π)/1531 weeks
130.85064 -1.90464 (130*2π)/1531 weeks
1311.6718 -1.74513 (131*2π)/1531 weeks
1322.02345 -.75202 (132*2π)/1531 weeks
133.95884 -.04009 (133*2π)/1531 weeks
134-.36679 -.66856 (134*2π)/1531 weeks
135-.47612 -2.24585 (135*2π)/1531 weeks
136.695 -3.31264 (136*2π)/1531 weeks
1372.05236 -2.83001 (137*2π)/1531 weeks
1382.37922 -1.82883 (138*2π)/1531 weeks
1391.76705 -1.30037 (139*2π)/1531 weeks
1401.27263 -1.27283 (140*2π)/1531 weeks
1411.01641 -1.30319 (141*2π)/1531 weeks
142.40635 -1.34096 (142*2π)/1531 weeks
143-.57905 -2.14134 (143*2π)/1531 weeks
144-.54555 -3.67169 (144*2π)/1531 weeks
145.75357 -4.58873 (145*2π)/1531 weeks
1461.73943 -3.23598 (146*2π)/1531 weeks
147-.4377 -1.48126 (147*2π)/1531 weeks
148-5.54734 -3.91184 (148*2π)/1531 weeks
149-8.73496 -12.59916 (149*2π)/1531 weeks
150-1.7826 -24.69451 (150*2π)/1531 weeks
15114.52742 -29.62796 (151*2π)/1531 weeks

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