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# Fourier Analysis of AMBS (Amarantus BioScience Holdings)

AMBS (Amarantus BioScience Holdings) appears to have interesting cyclic behaviour every 40 weeks (4.0431*cosine), 21 weeks (3.9347*cosine), and 17 weeks (3.1735*cosine).

AMBS (Amarantus BioScience Holdings) has an average price of 5.28 (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 9/10/2010 to 5/14/2018 for AMBS (Amarantus BioScience Holdings), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
05.27625   0
14.94032 7.108 (1*2π)/402402 weeks
2-1.3314 7.25868 (2*2π)/402201 weeks
3-3.74405 3.84972 (3*2π)/402134 weeks
4-5.92868 1.13527 (4*2π)/402101 weeks
5-4.79894 -3.0785 (5*2π)/40280 weeks
6-.38654 -4.9357 (6*2π)/40267 weeks
7.9724 -2.67429 (7*2π)/40257 weeks
81.96519 -2.39699 (8*2π)/40250 weeks
93.72737 -1.81815 (9*2π)/40245 weeks
104.04314 2.26099 (10*2π)/40240 weeks
111.46255 3.4998 (11*2π)/40237 weeks
12-.63155 3.25589 (12*2π)/40234 weeks
13-2.14807 3.05313 (13*2π)/40231 weeks
14-3.91799 .87671 (14*2π)/40229 weeks
15-3.80722 -2.01252 (15*2π)/40227 weeks
16-1.22644 -3.39731 (16*2π)/40225 weeks
17.68658 -3.83959 (17*2π)/40224 weeks
182.90921 -2.27496 (18*2π)/40222 weeks
193.93472 -.20228 (19*2π)/40221 weeks
202.84791 2.32756 (20*2π)/40220 weeks
21.96411 3.49283 (21*2π)/40219 weeks
22-1.31502 3.20935 (22*2π)/40218 weeks
23-2.98215 1.68218 (23*2π)/40217 weeks
24-3.17349 -.20204 (24*2π)/40217 weeks
25-2.58117 -2.38731 (25*2π)/40216 weeks
26-.43996 -3.1771 (26*2π)/40215 weeks
271.79003 -2.79535 (27*2π)/40215 weeks
282.53398 -.86948 (28*2π)/40214 weeks
292.74078 .54365 (29*2π)/40214 weeks
301.76162 2.08045 (30*2π)/40213 weeks
31.06401 2.63551 (31*2π)/40213 weeks
32-1.2432 2.0078 (32*2π)/40213 weeks
33-2.06143 .96974 (33*2π)/40212 weeks
34-2.56671 -.14747 (34*2π)/40212 weeks
35-1.69818 -2.16832 (35*2π)/40211 weeks
36-.06364 -2.38256 (36*2π)/40211 weeks
371.38958 -1.79787 (37*2π)/40211 weeks
381.87083 -.85318 (38*2π)/40211 weeks
392.29348 .49799 (39*2π)/40210 weeks
401.34136 1.82876 (40*2π)/40210 weeks
41.0123 2.04652 (41*2π)/40210 weeks
42-1.12776 1.75834 (42*2π)/40210 weeks
43-1.8711 .7188 (43*2π)/4029 weeks
44-2.18535 -.53567 (44*2π)/4029 weeks
45-1.04264 -1.82062 (45*2π)/4029 weeks
46.085 -1.99159 (46*2π)/4029 weeks
471.38478 -1.28693 (47*2π)/4029 weeks
481.5461 -.33435 (48*2π)/4028 weeks
491.49831 .5448 (49*2π)/4028 weeks
50.95583 1.31726 (50*2π)/4028 weeks
51.00111 1.68589 (51*2π)/4028 weeks
52-1.18553 1.19853 (52*2π)/4028 weeks
53-1.23246 .30948 (53*2π)/4028 weeks
54-1.47149 -.3715 (54*2π)/4027 weeks
55-.88738 -1.19301 (55*2π)/4027 weeks
56.09609 -1.65191 (56*2π)/4027 weeks
571.06214 -.82708 (57*2π)/4027 weeks
581.0114 -.31447 (58*2π)/4027 weeks
591.23924 .25386 (59*2π)/4027 weeks
60.85188 1.0705 (60*2π)/4027 weeks
61-.06713 1.4172 (61*2π)/4027 weeks
62-.94343 .79645 (62*2π)/4026 weeks
63-.94631 .30708 (63*2π)/4026 weeks
64-1.09878 -.43901 (64*2π)/4026 weeks
65-.52535 -.8089 (65*2π)/4026 weeks
66.04327 -1.07048 (66*2π)/4026 weeks
67.55907 -.65195 (67*2π)/4026 weeks
68.84534 -.37297 (68*2π)/4026 weeks
69.86918 .30035 (69*2π)/4026 weeks
70.50625 .58483 (70*2π)/4026 weeks
71.16505 .91379 (71*2π)/4026 weeks
72-.49979 .67124 (72*2π)/4026 weeks
73-.72803 .35954 (73*2π)/4026 weeks
74-.64018 -.2581 (74*2π)/4025 weeks
75-.56663 -.27025 (75*2π)/4025 weeks
76-.24445 -.83348 (76*2π)/4025 weeks
77.2955 -.66996 (77*2π)/4025 weeks
78.62086 -.36067 (78*2π)/4025 weeks
79.59088 .03074 (79*2π)/4025 weeks
80.6025 .25375 (80*2π)/4025 weeks
81.23808 .76808 (81*2π)/4025 weeks
82-.18909 .44661 (82*2π)/4025 weeks
83-.37085 .48474 (83*2π)/4025 weeks
84-.48439 .18272 (84*2π)/4025 weeks
85-.79998 -.13714 (85*2π)/4025 weeks
86-.2916 -.64153 (86*2π)/4025 weeks
87-.03705 -.59202 (87*2π)/4025 weeks
88.36394 -.61401 (88*2π)/4025 weeks
89.67165 -.19883 (89*2π)/4025 weeks
90.67151 .21194 (90*2π)/4024 weeks
91.19968 .54401 (91*2π)/4024 weeks
92.20809 .40066 (92*2π)/4024 weeks
93-.2578 .62603 (93*2π)/4024 weeks
94-.42878 .40107 (94*2π)/4024 weeks
95-.75451 -.00503 (95*2π)/4024 weeks
96-.52101 -.35134 (96*2π)/4024 weeks
97-.34422 -.66182 (97*2π)/4024 weeks
98.23843 -.7874 (98*2π)/4024 weeks
99.50863 -.459 (99*2π)/4024 weeks
100.90645 -.11598 (100*2π)/4024 weeks
101.62344 .43739 (101*2π)/4024 weeks
102.42481 .84632 (102*2π)/4024 weeks
103-.32282 .81158 (103*2π)/4024 weeks
104-.65764 .61844 (104*2π)/4024 weeks
105-1.04701 -.06942 (105*2π)/4024 weeks
106-.59843 -.66014 (106*2π)/4024 weeks
107-.13189 -.81663 (107*2π)/4024 weeks
108.35421 -.61114 (108*2π)/4024 weeks
109.48259 -.50086 (109*2π)/4024 weeks
110.90952 .01183 (110*2π)/4024 weeks
111.55331 .42845 (111*2π)/4024 weeks
112.29698 .77698 (112*2π)/4024 weeks
113-.20759 .65598 (113*2π)/4024 weeks
114-.56246 .61953 (114*2π)/4024 weeks
115-.85406 -.01997 (115*2π)/4023 weeks
116-.58794 -.3538 (116*2π)/4023 weeks
117-.39075 -.69135 (117*2π)/4023 weeks
118.06598 -.73539 (118*2π)/4023 weeks
119.51128 -.80685 (119*2π)/4023 weeks
1201.01148 -.1265 (120*2π)/4023 weeks
121.87502 .3813 (121*2π)/4023 weeks
122.40308 1.0358 (122*2π)/4023 weeks
123-.2795 .86329 (123*2π)/4023 weeks
124-.79684 .65 (124*2π)/4023 weeks
125-.93607 -.11076 (125*2π)/4023 weeks
126-.68337 -.51313 (126*2π)/4023 weeks
127-.20678 -.86669 (127*2π)/4023 weeks
128.24083 -.66226 (128*2π)/4023 weeks
129.62261 -.62112 (129*2π)/4023 weeks
130.82612 .0656 (130*2π)/4023 weeks
131.69203 .38512 (131*2π)/4023 weeks
132.19251 .77604 (132*2π)/4023 weeks
133-.06688 .65525 (133*2π)/4023 weeks
134-.60481 .63612 (134*2π)/4023 weeks
135-.78379 .04281 (135*2π)/4023 weeks
136-.69643 -.34318 (136*2π)/4023 weeks
137-.30562 -.71178 (137*2π)/4023 weeks
138-.00489 -.7066 (138*2π)/4023 weeks
139.62542 -.72913 (139*2π)/4023 weeks
140.75535 -.05526 (140*2π)/4023 weeks
141.78005 .29776 (141*2π)/4023 weeks
142.32824 .64626 (142*2π)/4023 weeks
143.12519 .82402 (143*2π)/4023 weeks
144-.60448 .78331 (144*2π)/4023 weeks
145-.90241 .21441 (145*2π)/4023 weeks
146-.93822 -.37504 (146*2π)/4023 weeks
147-.37198 -.90145 (147*2π)/4023 weeks
148.06633 -.93184 (148*2π)/4023 weeks
149.87464 -.67065 (149*2π)/4023 weeks
150.85604 .00956 (150*2π)/4023 weeks
151.7457 .59092 (151*2π)/4023 weeks
152.12451 .67925 (152*2π)/4023 weeks
153-.09431 .71374 (153*2π)/4023 weeks
154-.59082 .5314 (154*2π)/4023 weeks
155-.71272 .0944 (155*2π)/4023 weeks
156-.73411 -.38276 (156*2π)/4023 weeks
157-.21851 -.61154 (157*2π)/4023 weeks
158-.04338 -.78071 (158*2π)/4023 weeks
159.61386 -.53226 (159*2π)/4023 weeks
160.70943 -.19216 (160*2π)/4023 weeks
161.70452 .39624 (161*2π)/4022 weeks
162.33652 .55515 (162*2π)/4022 weeks
163.02072 .8178 (163*2π)/4022 weeks
164-.58659 .58223 (164*2π)/4022 weeks
165-.73838 .18782 (165*2π)/4022 weeks
166-.76722 -.42965 (166*2π)/4022 weeks
167-.26991 -.61594 (167*2π)/4022 weeks
168.10837 -.83346 (168*2π)/4022 weeks
169.57038 -.36726 (169*2π)/4022 weeks
170.64808 -.15449 (170*2π)/4022 weeks
171.56626 .37041 (171*2π)/4022 weeks
172.29318 .47088 (172*2π)/4022 weeks
173-.02077 .67487 (173*2π)/4022 weeks
174-.40636 .43255 (174*2π)/4022 weeks
175-.60171 .26188 (175*2π)/4022 weeks
176-.60588 -.33882 (176*2π)/4022 weeks
177-.32425 -.39697 (177*2π)/4022 weeks
178.0124 -.6899 (178*2π)/4022 weeks
179.30824 -.4238 (179*2π)/4022 weeks
180.62345 -.25623 (180*2π)/4022 weeks
181.49149 .23843 (181*2π)/4022 weeks
182.38357 .32153 (182*2π)/4022 weeks
183.09525 .63252 (183*2π)/4022 weeks
184-.26314 .46273 (184*2π)/4022 weeks
185-.54665 .29375 (185*2π)/4022 weeks
186-.42671 -.14035 (186*2π)/4022 weeks
187-.5153 -.17739 (187*2π)/4022 weeks
188-.18064 -.63412 (188*2π)/4022 weeks
189.10171 -.57244 (189*2π)/4022 weeks
190.5563 -.40644 (190*2π)/4022 weeks
191.56207 -.06217 (191*2π)/4022 weeks
192.69369 .29405 (192*2π)/4022 weeks
193.22448 .77637 (193*2π)/4022 weeks
194-.19654 .62698 (194*2π)/4022 weeks
195-.6323 .4275 (195*2π)/4022 weeks
196-.55641 .01099 (196*2π)/4022 weeks
197-.72918 -.34448 (197*2π)/4022 weeks
198-.18419 -.70252 (198*2π)/4022 weeks
199.13638 -.74424 (199*2π)/4022 weeks
200.67784 -.44229 (200*2π)/4022 weeks
201.6962   (201*2π)/4022 weeks
202.67784 .44229 (202*2π)/4022 weeks
203.13638 .74424 (203*2π)/4022 weeks
204-.18419 .70252 (204*2π)/4022 weeks
205-.72918 .34448 (205*2π)/4022 weeks
206-.55641 -.01099 (206*2π)/4022 weeks
207-.6323 -.4275 (207*2π)/4022 weeks
208-.19654 -.62698 (208*2π)/4022 weeks
209.22448 -.77637 (209*2π)/4022 weeks
210.69369 -.29405 (210*2π)/4022 weeks
211.56207 .06217 (211*2π)/4022 weeks
212.5563 .40644 (212*2π)/4022 weeks
213.10171 .57244 (213*2π)/4022 weeks
214-.18064 .63412 (214*2π)/4022 weeks
215-.5153 .17739 (215*2π)/4022 weeks
216-.42671 .14035 (216*2π)/4022 weeks
217-.54665 -.29375 (217*2π)/4022 weeks
218-.26314 -.46273 (218*2π)/4022 weeks
219.09525 -.63252 (219*2π)/4022 weeks
220.38357 -.32153 (220*2π)/4022 weeks
221.49149 -.23843 (221*2π)/4022 weeks
222.62345 .25623 (222*2π)/4022 weeks
223.30824 .4238 (223*2π)/4022 weeks
224.0124 .6899 (224*2π)/4022 weeks
225-.32425 .39697 (225*2π)/4022 weeks
226-.60588 .33882 (226*2π)/4022 weeks
227-.60171 -.26188 (227*2π)/4022 weeks
228-.40636 -.43255 (228*2π)/4022 weeks
229-.02077 -.67487 (229*2π)/4022 weeks
230.29318 -.47088 (230*2π)/4022 weeks
231.56626 -.37041 (231*2π)/4022 weeks
232.64808 .15449 (232*2π)/4022 weeks
233.57038 .36726 (233*2π)/4022 weeks
234.10837 .83346 (234*2π)/4022 weeks
235-.26991 .61594 (235*2π)/4022 weeks
236-.76722 .42965 (236*2π)/4022 weeks
237-.73838 -.18782 (237*2π)/4022 weeks
238-.58659 -.58223 (238*2π)/4022 weeks
239.02072 -.8178 (239*2π)/4022 weeks
240.33652 -.55515 (240*2π)/4022 weeks
241.70452 -.39624 (241*2π)/4022 weeks
242.70943 .19216 (242*2π)/4022 weeks
243.61386 .53226 (243*2π)/4022 weeks
244-.04338 .78071 (244*2π)/4022 weeks
245-.21851 .61154 (245*2π)/4022 weeks
246-.73411 .38276 (246*2π)/4022 weeks
247-.71272 -.0944 (247*2π)/4022 weeks
248-.59082 -.5314 (248*2π)/4022 weeks
249-.09431 -.71374 (249*2π)/4022 weeks
250.12451 -.67925 (250*2π)/4022 weeks
251.7457 -.59092 (251*2π)/4022 weeks
252.85604 -.00956 (252*2π)/4022 weeks
253.87464 .67065 (253*2π)/4022 weeks
254.06633 .93184 (254*2π)/4022 weeks
255-.37198 .90145 (255*2π)/4022 weeks
256-.93822 .37504 (256*2π)/4022 weeks
257-.90241 -.21441 (257*2π)/4022 weeks
258-.60448 -.78331 (258*2π)/4022 weeks
259.12519 -.82402 (259*2π)/4022 weeks
260.32824 -.64626 (260*2π)/4022 weeks
261.78005 -.29776 (261*2π)/4022 weeks
262.75535 .05526 (262*2π)/4022 weeks
263.62542 .72913 (263*2π)/4022 weeks
264-.00489 .7066 (264*2π)/4022 weeks
265-.30562 .71178 (265*2π)/4022 weeks
266-.69643 .34318 (266*2π)/4022 weeks
267-.78379 -.04281 (267*2π)/4022 weeks
268-.60481 -.63612 (268*2π)/4022 weeks
269-.06688 -.65525 (269*2π)/4021 weeks
270.19251 -.77604 (270*2π)/4021 weeks
271.69203 -.38512 (271*2π)/4021 weeks
272.82612 -.0656 (272*2π)/4021 weeks
273.62261 .62112 (273*2π)/4021 weeks
274.24083 .66226 (274*2π)/4021 weeks
275-.20678 .86669 (275*2π)/4021 weeks
276-.68337 .51313 (276*2π)/4021 weeks
277-.93607 .11076 (277*2π)/4021 weeks
278-.79684 -.65 (278*2π)/4021 weeks
279-.2795 -.86329 (279*2π)/4021 weeks
280.40308 -1.0358 (280*2π)/4021 weeks
281.87502 -.3813 (281*2π)/4021 weeks
2821.01148 .1265 (282*2π)/4021 weeks
283.51128 .80685 (283*2π)/4021 weeks
284.06598 .73539 (284*2π)/4021 weeks
285-.39075 .69135 (285*2π)/4021 weeks
286-.58794 .3538 (286*2π)/4021 weeks
287-.85406 .01997 (287*2π)/4021 weeks
288-.56246 -.61953 (288*2π)/4021 weeks
289-.20759 -.65598 (289*2π)/4021 weeks
290.29698 -.77698 (290*2π)/4021 weeks
291.55331 -.42845 (291*2π)/4021 weeks
292.90952 -.01183 (292*2π)/4021 weeks
293.48259 .50086 (293*2π)/4021 weeks
294.35421 .61114 (294*2π)/4021 weeks
295-.13189 .81663 (295*2π)/4021 weeks
296-.59843 .66014 (296*2π)/4021 weeks
297-1.04701 .06942 (297*2π)/4021 weeks
298-.65764 -.61844 (298*2π)/4021 weeks
299-.32282 -.81158 (299*2π)/4021 weeks
300.42481 -.84632 (300*2π)/4021 weeks
301.62344 -.43739 (301*2π)/4021 weeks
302.90645 .11598 (302*2π)/4021 weeks
303.50863 .459 (303*2π)/4021 weeks
304.23843 .7874 (304*2π)/4021 weeks
305-.34422 .66182 (305*2π)/4021 weeks
306-.52101 .35134 (306*2π)/4021 weeks
307-.75451 .00503 (307*2π)/4021 weeks
308-.42878 -.40107 (308*2π)/4021 weeks
309-.2578 -.62603 (309*2π)/4021 weeks
310.20809 -.40066 (310*2π)/4021 weeks
311.19968 -.54401 (311*2π)/4021 weeks
312.67151 -.21194 (312*2π)/4021 weeks
313.67165 .19883 (313*2π)/4021 weeks
314.36394 .61401 (314*2π)/4021 weeks
315-.03705 .59202 (315*2π)/4021 weeks
316-.2916 .64153 (316*2π)/4021 weeks
317-.79998 .13714 (317*2π)/4021 weeks
318-.48439 -.18272 (318*2π)/4021 weeks
319-.37085 -.48474 (319*2π)/4021 weeks
320-.18909 -.44661 (320*2π)/4021 weeks
321.23808 -.76808 (321*2π)/4021 weeks
322.6025 -.25375 (322*2π)/4021 weeks
323.59088 -.03074 (323*2π)/4021 weeks
324.62086 .36067 (324*2π)/4021 weeks
325.2955 .66996 (325*2π)/4021 weeks
326-.24445 .83348 (326*2π)/4021 weeks
327-.56663 .27025 (327*2π)/4021 weeks
328-.64018 .2581 (328*2π)/4021 weeks
329-.72803 -.35954 (329*2π)/4021 weeks
330-.49979 -.67124 (330*2π)/4021 weeks
331.16505 -.91379 (331*2π)/4021 weeks
332.50625 -.58483 (332*2π)/4021 weeks
333.86918 -.30035 (333*2π)/4021 weeks
334.84534 .37297 (334*2π)/4021 weeks
335.55907 .65195 (335*2π)/4021 weeks
336.04327 1.07048 (336*2π)/4021 weeks
337-.52535 .8089 (337*2π)/4021 weeks
338-1.09878 .43901 (338*2π)/4021 weeks
339-.94631 -.30708 (339*2π)/4021 weeks
340-.94343 -.79645 (340*2π)/4021 weeks
341-.06713 -1.4172 (341*2π)/4021 weeks
342.85188 -1.0705 (342*2π)/4021 weeks
3431.23924 -.25386 (343*2π)/4021 weeks
3441.0114 .31447 (344*2π)/4021 weeks
3451.06214 .82708 (345*2π)/4021 weeks
346.09609 1.65191 (346*2π)/4021 weeks
347-.88738 1.19301 (347*2π)/4021 weeks
348-1.47149 .3715 (348*2π)/4021 weeks
349-1.23246 -.30948 (349*2π)/4021 weeks
350-1.18553 -1.19853 (350*2π)/4021 weeks
351.00111 -1.68589 (351*2π)/4021 weeks
352.95583 -1.31726 (352*2π)/4021 weeks
3531.49831 -.5448 (353*2π)/4021 weeks
3541.5461 .33435 (354*2π)/4021 weeks
3551.38478 1.28693 (355*2π)/4021 weeks
356.085 1.99159 (356*2π)/4021 weeks
357-1.04264 1.82062 (357*2π)/4021 weeks
358-2.18535 .53567 (358*2π)/4021 weeks
359-1.8711 -.7188 (359*2π)/4021 weeks
360-1.12776 -1.75834 (360*2π)/4021 weeks
361.0123 -2.04652 (361*2π)/4021 weeks
3621.34136 -1.82876 (362*2π)/4021 weeks
3632.29348 -.49799 (363*2π)/4021 weeks
3641.87083 .85318 (364*2π)/4021 weeks
3651.38958 1.79787 (365*2π)/4021 weeks
366-.06364 2.38256 (366*2π)/4021 weeks
367-1.69818 2.16832 (367*2π)/4021 weeks
368-2.56671 .14747 (368*2π)/4021 weeks
369-2.06143 -.96974 (369*2π)/4021 weeks
370-1.2432 -2.0078 (370*2π)/4021 weeks
371.06401 -2.63551 (371*2π)/4021 weeks
3721.76162 -2.08045 (372*2π)/4021 weeks
3732.74078 -.54365 (373*2π)/4021 weeks
3742.53398 .86948 (374*2π)/4021 weeks
3751.79003 2.79535 (375*2π)/4021 weeks
376-.43996 3.1771 (376*2π)/4021 weeks
377-2.58117 2.38731 (377*2π)/4021 weeks
378-3.17349 .20204 (378*2π)/4021 weeks
379-2.98215 -1.68218 (379*2π)/4021 weeks
380-1.31502 -3.20935 (380*2π)/4021 weeks
381.96411 -3.49283 (381*2π)/4021 weeks
3822.84791 -2.32756 (382*2π)/4021 weeks
3833.93472 .20228 (383*2π)/4021 weeks
3842.90921 2.27496 (384*2π)/4021 weeks
385.68658 3.83959 (385*2π)/4021 weeks
386-1.22644 3.39731 (386*2π)/4021 weeks
387-3.80722 2.01252 (387*2π)/4021 weeks
388-3.91799 -.87671 (388*2π)/4021 weeks
389-2.14807 -3.05313 (389*2π)/4021 weeks
390-.63155 -3.25589 (390*2π)/4021 weeks
3911.46255 -3.4998 (391*2π)/4021 weeks
3924.04314 -2.26099 (392*2π)/4021 weeks
3933.72737 1.81815 (393*2π)/4021 weeks
3941.96519 2.39699 (394*2π)/4021 weeks
395.9724 2.67429 (395*2π)/4021 weeks
396-.38654 4.9357 (396*2π)/4021 weeks
397-4.79894 3.0785 (397*2π)/4021 weeks
398-5.92868 -1.13527 (398*2π)/4021 weeks
399-3.74405 -3.84972 (399*2π)/4021 weeks
400-1.3314 -7.25868 (400*2π)/4021 weeks