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# Fourier Analysis of MOBI (Sky-mobi Limited)

MOBI (Sky-mobi Limited) appears to have interesting cyclic behaviour every 31 weeks (.5875*cosine), 22 weeks (.3523*sine), and 26 weeks (.3313*sine).

MOBI (Sky-mobi Limited) has an average price of 4.38 (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.

## Fourier Analysis

Using data from 12/10/2010 to 11/14/2016 for MOBI (Sky-mobi Limited), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
04.38   0
1.16028 -.30979 (1*2π)/311311 weeks
21.17898 2.6154 (2*2π)/311156 weeks
3.30986 .87014 (3*2π)/311104 weeks
4-.14595 1.31175 (4*2π)/31178 weeks
5.11135 .79623 (5*2π)/31162 weeks
6-.68829 .49625 (6*2π)/31152 weeks
7-.55521 .60958 (7*2π)/31144 weeks
8-.52898 .18519 (8*2π)/31139 weeks
9-.11695 -.2773 (9*2π)/31135 weeks
10-.58747 .00903 (10*2π)/31131 weeks
11.06898 .01856 (11*2π)/31128 weeks
12-.26781 -.33128 (12*2π)/31126 weeks
13.0273 -.07024 (13*2π)/31124 weeks
14.11476 -.35229 (14*2π)/31122 weeks
15.00222 .04247 (15*2π)/31121 weeks
16.17004 -.07769 (16*2π)/31119 weeks
17.21786 .13965 (17*2π)/31118 weeks
18.19645 -.12148 (18*2π)/31117 weeks
19.16831 .23139 (19*2π)/31116 weeks
20.20165 .1952 (20*2π)/31116 weeks
21-.12044 .29744 (21*2π)/31115 weeks
22-.04155 .26203 (22*2π)/31114 weeks
23-.28897 .04832 (23*2π)/31114 weeks
24-.18433 .09916 (24*2π)/31113 weeks
25-.13567 -.24031 (25*2π)/31112 weeks
26-.14604 .02103 (26*2π)/31112 weeks
27.13279 -.23087 (27*2π)/31112 weeks
28-.16065 -.11285 (28*2π)/31111 weeks
29.27715 -.19069 (29*2π)/31111 weeks
30.13593 -.10265 (30*2π)/31110 weeks
31.23354 -.0338 (31*2π)/31110 weeks
32.18773 .15551 (32*2π)/31110 weeks
33.19458 .10753 (33*2π)/3119 weeks
34.07797 .15211 (34*2π)/3119 weeks
35.05974 .19311 (35*2π)/3119 weeks
36-.12012 .09437 (36*2π)/3119 weeks
37-.08377 .23696 (37*2π)/3118 weeks
38.02331 -.13995 (38*2π)/3118 weeks
39-.11595 .03268 (39*2π)/3118 weeks
40.04509 .02285 (40*2π)/3118 weeks
41.02869 .05735 (41*2π)/3118 weeks
42.04686 -.00323 (42*2π)/3117 weeks
43-.10586 .03747 (43*2π)/3117 weeks
44.02689 .03802 (44*2π)/3117 weeks
45-.0394 -.06013 (45*2π)/3117 weeks
46.10501 -.02019 (46*2π)/3117 weeks
47.00104 -.01594 (47*2π)/3117 weeks
48.07526 .04499 (48*2π)/3116 weeks
49.05849 .06857 (49*2π)/3116 weeks
50.06221 .05185 (50*2π)/3116 weeks
51.01678 .05843 (51*2π)/3116 weeks
52.00252 .07582 (52*2π)/3116 weeks
53-.00126 .02292 (53*2π)/3116 weeks
54-.04591 .0659 (54*2π)/3116 weeks
55.00707 .03566 (55*2π)/3116 weeks
56-.1094 .01322 (56*2π)/3116 weeks
57-.03138 .03304 (57*2π)/3115 weeks
58-.02772 -.09473 (58*2π)/3115 weeks
59.04544 -.05599 (59*2π)/3115 weeks
60.06379 -.07089 (60*2π)/3115 weeks
61.06562 .02948 (61*2π)/3115 weeks
62.07733 .00954 (62*2π)/3115 weeks
63.0288 .02869 (63*2π)/3115 weeks
64.07114 .05311 (64*2π)/3115 weeks
65.03014 .04721 (65*2π)/3115 weeks
66.04219 .12657 (66*2π)/3115 weeks
67-.03688 .0235 (67*2π)/3115 weeks
68-.07566 .09597 (68*2π)/3115 weeks
69-.02203 .01056 (69*2π)/3115 weeks
70-.06871 -.0306 (70*2π)/3114 weeks
71-.00392 -.02837 (71*2π)/3114 weeks
72-.01678 -.02617 (72*2π)/3114 weeks
73-.0024 -.00047 (73*2π)/3114 weeks
74.04721 -.04533 (74*2π)/3114 weeks
75.00044 -.0787 (75*2π)/3114 weeks
76.04192 -.01356 (76*2π)/3114 weeks
77.05958 -.02462 (77*2π)/3114 weeks
78.0716 .04539 (78*2π)/3114 weeks
79.11596 .0143 (79*2π)/3114 weeks
80.02195 .02411 (80*2π)/3114 weeks
81.04634 .09373 (81*2π)/3114 weeks
82-.00414 .06861 (82*2π)/3114 weeks
83-.02961 .0575 (83*2π)/3114 weeks
84-.02606 .00533 (84*2π)/3114 weeks
85-.02113 .03244 (85*2π)/3114 weeks
86.00917 .02888 (86*2π)/3114 weeks
87-.03221 -.01387 (87*2π)/3114 weeks
88-.06245 -.00375 (88*2π)/3114 weeks
89-.01986 -.00139 (89*2π)/3113 weeks
90.01466 -.04846 (90*2π)/3113 weeks
91.03548 -.05525 (91*2π)/3113 weeks
92-.00199 -.02789 (92*2π)/3113 weeks
93.06153 .01259 (93*2π)/3113 weeks
94.04785 .0062 (94*2π)/3113 weeks
95.01361 -.00683 (95*2π)/3113 weeks
96.00839 .02434 (96*2π)/3113 weeks
97.0295 .02152 (97*2π)/3113 weeks
98.02487 .01605 (98*2π)/3113 weeks
99-.02018 -.01433 (99*2π)/3113 weeks
100.03054 -.00497 (100*2π)/3113 weeks
101-.01093 -.01034 (101*2π)/3113 weeks
102.05193 .02267 (102*2π)/3113 weeks
103.00556 -.03582 (103*2π)/3113 weeks
104.00228 -.0134 (104*2π)/3113 weeks
105.01475 -.01594 (105*2π)/3113 weeks
106.06037 -.00874 (106*2π)/3113 weeks
107.05772 -.00829 (107*2π)/3113 weeks
108.03207 .02715 (108*2π)/3113 weeks
109.0412 .01424 (109*2π)/3113 weeks
110.03614 .03555 (110*2π)/3113 weeks
111.03338 .00678 (111*2π)/3113 weeks
112.00985 .02893 (112*2π)/3113 weeks
113-.00203 .0522 (113*2π)/3113 weeks
114.02868 .01731 (114*2π)/3113 weeks
115.01002 .03162 (115*2π)/3113 weeks
116-.00321 .00528 (116*2π)/3113 weeks
117-.03398 .05363 (117*2π)/3113 weeks
118-.01214 -.02114 (118*2π)/3113 weeks
119-.0337 -.00973 (119*2π)/3113 weeks
120.03342 -.05719 (120*2π)/3113 weeks
121.01256 -.03938 (121*2π)/3113 weeks
122.04846 -.0208 (122*2π)/3113 weeks
123.07802 .00097 (123*2π)/3113 weeks
124.05657 .02595 (124*2π)/3113 weeks
125.04693 .02705 (125*2π)/3112 weeks
126.00935 .08966 (126*2π)/3112 weeks
127.04404 .03563 (127*2π)/3112 weeks
128-.05332 .05347 (128*2π)/3112 weeks
129-.01744 .04088 (129*2π)/3112 weeks
130-.06541 .01172 (130*2π)/3112 weeks
131-.00919 -.00611 (131*2π)/3112 weeks
132-.02977 -.05111 (132*2π)/3112 weeks
133-.02542 -.01365 (133*2π)/3112 weeks
134.00324 -.01815 (134*2π)/3112 weeks
135.02534 -.02637 (135*2π)/3112 weeks
136.00589 -.0256 (136*2π)/3112 weeks
137-.00609 .00229 (137*2π)/3112 weeks
138.01086 -.05533 (138*2π)/3112 weeks
139-.00625 -.01792 (139*2π)/3112 weeks
140.07441 -.05457 (140*2π)/3112 weeks
141.00448 -.02289 (141*2π)/3112 weeks
142.09468 .01366 (142*2π)/3112 weeks
143.03441 -.02247 (143*2π)/3112 weeks
144.04799 .06209 (144*2π)/3112 weeks
145.03055 -.0033 (145*2π)/3112 weeks
146-.01681 .05828 (146*2π)/3112 weeks
147.01669 .01162 (147*2π)/3112 weeks
148-.02109 -.00253 (148*2π)/3112 weeks
149-.01375 -.0183 (149*2π)/3112 weeks
150-.00262 -.0366 (150*2π)/3112 weeks
151-.01219 -.02269 (151*2π)/3112 weeks
152.03042 -.03767 (152*2π)/3112 weeks
153.04446 -.03409 (153*2π)/3112 weeks
154.03662 -.06698 (154*2π)/3112 weeks
155.08342 .03892 (155*2π)/3112 weeks
156.08342 -.03892 (156*2π)/3112 weeks
157.03662 .06698 (157*2π)/3112 weeks
158.04446 .03409 (158*2π)/3112 weeks
159.03042 .03767 (159*2π)/3112 weeks
160-.01219 .02269 (160*2π)/3112 weeks
161-.00262 .0366 (161*2π)/3112 weeks
162-.01375 .0183 (162*2π)/3112 weeks
163-.02109 .00253 (163*2π)/3112 weeks
164.01669 -.01162 (164*2π)/3112 weeks
165-.01681 -.05828 (165*2π)/3112 weeks
166.03055 .0033 (166*2π)/3112 weeks
167.04799 -.06209 (167*2π)/3112 weeks
168.03441 .02247 (168*2π)/3112 weeks
169.09468 -.01366 (169*2π)/3112 weeks
170.00448 .02289 (170*2π)/3112 weeks
171.07441 .05457 (171*2π)/3112 weeks
172-.00625 .01792 (172*2π)/3112 weeks
173.01086 .05533 (173*2π)/3112 weeks
174-.00609 -.00229 (174*2π)/3112 weeks
175.00589 .0256 (175*2π)/3112 weeks
176.02534 .02637 (176*2π)/3112 weeks
177.00324 .01815 (177*2π)/3112 weeks
178-.02542 .01365 (178*2π)/3112 weeks
179-.02977 .05111 (179*2π)/3112 weeks
180-.00919 .00611 (180*2π)/3112 weeks
181-.06541 -.01172 (181*2π)/3112 weeks
182-.01744 -.04088 (182*2π)/3112 weeks
183-.05332 -.05347 (183*2π)/3112 weeks
184.04404 -.03563 (184*2π)/3112 weeks
185.00935 -.08966 (185*2π)/3112 weeks
186.04693 -.02705 (186*2π)/3112 weeks
187.05657 -.02595 (187*2π)/3112 weeks
188.07802 -.00097 (188*2π)/3112 weeks
189.04846 .0208 (189*2π)/3112 weeks
190.01256 .03938 (190*2π)/3112 weeks
191.03342 .05719 (191*2π)/3112 weeks
192-.0337 .00973 (192*2π)/3112 weeks
193-.01214 .02114 (193*2π)/3112 weeks
194-.03398 -.05363 (194*2π)/3112 weeks
195-.00321 -.00528 (195*2π)/3112 weeks
196.01002 -.03162 (196*2π)/3112 weeks
197.02868 -.01731 (197*2π)/3112 weeks
198-.00203 -.0522 (198*2π)/3112 weeks
199.00985 -.02893 (199*2π)/3112 weeks
200.03338 -.00678 (200*2π)/3112 weeks
201.03614 -.03555 (201*2π)/3112 weeks
202.0412 -.01424 (202*2π)/3112 weeks
203.03207 -.02715 (203*2π)/3112 weeks
204.05772 .00829 (204*2π)/3112 weeks
205.06037 .00874 (205*2π)/3112 weeks
206.01475 .01594 (206*2π)/3112 weeks
207.00228 .0134 (207*2π)/3112 weeks
208.00556 .03582 (208*2π)/3111 weeks
209.05193 -.02267 (209*2π)/3111 weeks
210-.01093 .01034 (210*2π)/3111 weeks
211.03054 .00497 (211*2π)/3111 weeks
212-.02018 .01433 (212*2π)/3111 weeks
213.02487 -.01605 (213*2π)/3111 weeks
214.0295 -.02152 (214*2π)/3111 weeks
215.00839 -.02434 (215*2π)/3111 weeks
216.01361 .00683 (216*2π)/3111 weeks
217.04785 -.0062 (217*2π)/3111 weeks
218.06153 -.01259 (218*2π)/3111 weeks
219-.00199 .02789 (219*2π)/3111 weeks
220.03548 .05525 (220*2π)/3111 weeks
221.01466 .04846 (221*2π)/3111 weeks
222-.01986 .00139 (222*2π)/3111 weeks
223-.06245 .00375 (223*2π)/3111 weeks
224-.03221 .01387 (224*2π)/3111 weeks
225.00917 -.02888 (225*2π)/3111 weeks
226-.02113 -.03244 (226*2π)/3111 weeks
227-.02606 -.00533 (227*2π)/3111 weeks
228-.02961 -.0575 (228*2π)/3111 weeks
229-.00414 -.06861 (229*2π)/3111 weeks
230.04634 -.09373 (230*2π)/3111 weeks
231.02195 -.02411 (231*2π)/3111 weeks
232.11596 -.0143 (232*2π)/3111 weeks
233.0716 -.04539 (233*2π)/3111 weeks
234.05958 .02462 (234*2π)/3111 weeks
235.04192 .01356 (235*2π)/3111 weeks
236.00044 .0787 (236*2π)/3111 weeks
237.04721 .04533 (237*2π)/3111 weeks
238-.0024 .00047 (238*2π)/3111 weeks
239-.01678 .02617 (239*2π)/3111 weeks
240-.00392 .02837 (240*2π)/3111 weeks
241-.06871 .0306 (241*2π)/3111 weeks
242-.02203 -.01056 (242*2π)/3111 weeks
243-.07566 -.09597 (243*2π)/3111 weeks
244-.03688 -.0235 (244*2π)/3111 weeks
245.04219 -.12657 (245*2π)/3111 weeks
246.03014 -.04721 (246*2π)/3111 weeks
247.07114 -.05311 (247*2π)/3111 weeks
248.0288 -.02869 (248*2π)/3111 weeks
249.07733 -.00954 (249*2π)/3111 weeks
250.06562 -.02948 (250*2π)/3111 weeks
251.06379 .07089 (251*2π)/3111 weeks
252.04544 .05599 (252*2π)/3111 weeks
253-.02772 .09473 (253*2π)/3111 weeks
254-.03138 -.03304 (254*2π)/3111 weeks
255-.1094 -.01322 (255*2π)/3111 weeks
256.00707 -.03566 (256*2π)/3111 weeks
257-.04591 -.0659 (257*2π)/3111 weeks
258-.00126 -.02292 (258*2π)/3111 weeks
259.00252 -.07582 (259*2π)/3111 weeks
260.01678 -.05843 (260*2π)/3111 weeks
261.06221 -.05185 (261*2π)/3111 weeks
262.05849 -.06857 (262*2π)/3111 weeks
263.07526 -.04499 (263*2π)/3111 weeks
264.00104 .01594 (264*2π)/3111 weeks
265.10501 .02019 (265*2π)/3111 weeks
266-.0394 .06013 (266*2π)/3111 weeks
267.02689 -.03802 (267*2π)/3111 weeks
268-.10586 -.03747 (268*2π)/3111 weeks
269.04686 .00323 (269*2π)/3111 weeks
270.02869 -.05735 (270*2π)/3111 weeks
271.04509 -.02285 (271*2π)/3111 weeks
272-.11595 -.03268 (272*2π)/3111 weeks
273.02331 .13995 (273*2π)/3111 weeks
274-.08377 -.23696 (274*2π)/3111 weeks
275-.12012 -.09437 (275*2π)/3111 weeks
276.05974 -.19311 (276*2π)/3111 weeks
277.07797 -.15211 (277*2π)/3111 weeks
278.19458 -.10753 (278*2π)/3111 weeks
279.18773 -.15551 (279*2π)/3111 weeks
280.23354 .0338 (280*2π)/3111 weeks
281.13593 .10265 (281*2π)/3111 weeks
282.27715 .19069 (282*2π)/3111 weeks
283-.16065 .11285 (283*2π)/3111 weeks
284.13279 .23087 (284*2π)/3111 weeks
285-.14604 -.02103 (285*2π)/3111 weeks
286-.13567 .24031 (286*2π)/3111 weeks
287-.18433 -.09916 (287*2π)/3111 weeks
288-.28897 -.04832 (288*2π)/3111 weeks
289-.04155 -.26203 (289*2π)/3111 weeks
290-.12044 -.29744 (290*2π)/3111 weeks
291.20165 -.1952 (291*2π)/3111 weeks
292.16831 -.23139 (292*2π)/3111 weeks
293.19645 .12148 (293*2π)/3111 weeks
294.21786 -.13965 (294*2π)/3111 weeks
295.17004 .07769 (295*2π)/3111 weeks
296.00222 -.04247 (296*2π)/3111 weeks
297.11476 .35229 (297*2π)/3111 weeks
298.0273 .07024 (298*2π)/3111 weeks
299-.26781 .33128 (299*2π)/3111 weeks
300.06898 -.01856 (300*2π)/3111 weeks
301-.58747 -.00903 (301*2π)/3111 weeks
302-.11695 .2773 (302*2π)/3111 weeks
303-.52898 -.18519 (303*2π)/3111 weeks
304-.55521 -.60958 (304*2π)/3111 weeks
305-.68829 -.49625 (305*2π)/3111 weeks
306.11135 -.79623 (306*2π)/3111 weeks
307-.14595 -1.31175 (307*2π)/3111 weeks
308.30986 -.87014 (308*2π)/3111 weeks
3091.17898 -2.6154 (309*2π)/3111 weeks