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Fourier Analysis of AMBS (AMARANTUS BIOSCI INC)


AMBS (AMARANTUS BIOSCI INC) appears to have interesting cyclic behaviour every 27 weeks (5.264*cosine), 23 weeks (4.8794*sine), and 20 weeks (4.3503*cosine).

AMBS (AMARANTUS BIOSCI INC) has an average price of 10.12 (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 9/10/2010 to 11/28/2016 for AMBS (AMARANTUS BIOSCI INC), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
010.11551   0 
1-.69521 5.5066 (1*2π)/326326 weeks
2-3.12601 10.35049 (2*2π)/326163 weeks
3-5.69638 2.04522 (3*2π)/326109 weeks
4-6.24303 -4.12053 (4*2π)/32682 weeks
5-.08555 -5.24833 (5*2π)/32665 weeks
61.43401 -3.29284 (6*2π)/32654 weeks
73.74169 -2.44249 (7*2π)/32647 weeks
85.3828 1.83511 (8*2π)/32641 weeks
91.40751 4.22266 (9*2π)/32636 weeks
10-1.39845 4.26662 (10*2π)/32633 weeks
11-3.86468 2.26946 (11*2π)/32630 weeks
12-5.26401 -1.65834 (12*2π)/32627 weeks
13-1.26877 -4.07897 (13*2π)/32625 weeks
141.68709 -4.8794 (14*2π)/32623 weeks
154.19471 -1.16469 (15*2π)/32622 weeks
164.35026 1.71637 (16*2π)/32620 weeks
171.10258 4.68356 (17*2π)/32619 weeks
18-2.05791 3.31397 (18*2π)/32618 weeks
19-3.97581 1.34065 (19*2π)/32617 weeks
20-3.70601 -2.11312 (20*2π)/32616 weeks
21-.61509 -3.96056 (21*2π)/32616 weeks
222.19866 -3.18909 (22*2π)/32615 weeks
233.34513 -.41018 (23*2π)/32614 weeks
242.86421 1.93983 (24*2π)/32614 weeks
25.45927 3.16842 (25*2π)/32613 weeks
26-1.61406 2.39184 (26*2π)/32613 weeks
27-2.84615 .93169 (27*2π)/32612 weeks
28-2.8042 -1.54875 (28*2π)/32612 weeks
29-.49548 -3.15743 (29*2π)/32611 weeks
301.48213 -2.17604 (30*2π)/32611 weeks
312.67092 -.67472 (31*2π)/32611 weeks
322.38923 1.45195 (32*2π)/32610 weeks
33.5655 2.5138 (33*2π)/32610 weeks
34-1.3887 2.27906 (34*2π)/32610 weeks
35-2.37721 .5813 (35*2π)/3269 weeks
36-2.35947 -1.23831 (36*2π)/3269 weeks
37-.29292 -2.67676 (37*2π)/3269 weeks
381.38639 -1.68118 (38*2π)/3269 weeks
391.99406 -.27559 (39*2π)/3268 weeks
401.74368 .90904 (40*2π)/3268 weeks
41.46572 2.08261 (41*2π)/3268 weeks
42-1.04411 1.59381 (42*2π)/3268 weeks
43-1.76712 .42249 (43*2π)/3268 weeks
44-1.57601 -.68628 (44*2π)/3267 weeks
45-.57254 -1.96009 (45*2π)/3267 weeks
461.02384 -1.37836 (46*2π)/3267 weeks
471.33962 -.34653 (47*2π)/3267 weeks
481.4779 .45229 (48*2π)/3267 weeks
49.58042 1.70756 (49*2π)/3267 weeks
50-.71222 1.26841 (50*2π)/3267 weeks
51-1.47853 .35876 (51*2π)/3266 weeks
52-1.05064 -.44703 (52*2π)/3266 weeks
53-.4833 -1.30111 (53*2π)/3266 weeks
54.43718 -1.04998 (54*2π)/3266 weeks
551.06645 -.41542 (55*2π)/3266 weeks
56.97064 .20993 (56*2π)/3266 weeks
57.56441 1.0202 (57*2π)/3266 weeks
58-.20564 .9679 (58*2π)/3266 weeks
59-.93001 .49755 (59*2π)/3266 weeks
60-.77811 -.12044 (60*2π)/3265 weeks
61-.62553 -.64572 (61*2π)/3265 weeks
62-.06345 -.93296 (62*2π)/3265 weeks
63.77946 -.57518 (63*2π)/3265 weeks
64.67241 -.10082 (64*2π)/3265 weeks
65.72285 .58736 (65*2π)/3265 weeks
66.07301 .73584 (66*2π)/3265 weeks
67-.4203 .60944 (67*2π)/3265 weeks
68-.53642 .33444 (68*2π)/3265 weeks
69-.93199 -.37855 (69*2π)/3265 weeks
70-.33097 -.64698 (70*2π)/3265 weeks
71.36065 -.82499 (71*2π)/3265 weeks
72.67846 -.44641 (72*2π)/3265 weeks
73.78602 .36888 (73*2π)/3264 weeks
74.29734 .59533 (74*2π)/3264 weeks
75-.03736 .60557 (75*2π)/3264 weeks
76-.45419 .68846 (76*2π)/3264 weeks
77-.88776 -.06266 (77*2π)/3264 weeks
78-.66164 -.46412 (78*2π)/3264 weeks
79-.14394 -.93393 (79*2π)/3264 weeks
80.58626 -.74721 (80*2π)/3264 weeks
811.00154 -.1816 (81*2π)/3264 weeks
82.83512 .58299 (82*2π)/3264 weeks
83.15067 1.10424 (83*2π)/3264 weeks
84-.62362 .89933 (84*2π)/3264 weeks
85-1.26006 .09102 (85*2π)/3264 weeks
86-.71512 -.80403 (86*2π)/3264 weeks
87.04013 -.99351 (87*2π)/3264 weeks
88.52984 -.67681 (88*2π)/3264 weeks
89.93686 -.18977 (89*2π)/3264 weeks
90.83264 .55493 (90*2π)/3264 weeks
91.15166 .94289 (91*2π)/3264 weeks
92-.41128 .79341 (92*2π)/3264 weeks
93-.99959 .30712 (93*2π)/3264 weeks
94-.83256 -.46829 (94*2π)/3263 weeks
95-.29075 -.81507 (95*2π)/3263 weeks
96.17757 -1.04567 (96*2π)/3263 weeks
971.09296 -.5365 (97*2π)/3263 weeks
981.14883 .46294 (98*2π)/3263 weeks
99.43047 1.19759 (99*2π)/3263 weeks
100-.54716 1.03396 (100*2π)/3263 weeks
101-1.20721 .32414 (101*2π)/3263 weeks
102-.90476 -.58923 (102*2π)/3263 weeks
103-.246 -.97683 (103*2π)/3263 weeks
104.38458 -.89802 (104*2π)/3263 weeks
1051.00081 -.35436 (105*2π)/3263 weeks
106.87368 .36807 (106*2π)/3263 weeks
107.33449 .91989 (107*2π)/3263 weeks
108-.19862 .87096 (108*2π)/3263 weeks
109-.91479 .45158 (109*2π)/3263 weeks
110-.93435 -.22715 (110*2π)/3263 weeks
111-.46868 -.82728 (111*2π)/3263 weeks
112.14457 -.92292 (112*2π)/3263 weeks
113.84747 -.66153 (113*2π)/3263 weeks
114.98518 .22634 (114*2π)/3263 weeks
115.53171 .73745 (115*2π)/3263 weeks
116.10258 1.02319 (116*2π)/3263 weeks
117-.91239 .81188 (117*2π)/3263 weeks
118-1.17406 -.11277 (118*2π)/3263 weeks
119-.7222 -.98712 (119*2π)/3263 weeks
120.15295 -1.14862 (120*2π)/3263 weeks
1211.09885 -.68834 (121*2π)/3263 weeks
1221.04814 .39067 (122*2π)/3263 weeks
123.41612 .84434 (123*2π)/3263 weeks
124-.13277 .87167 (124*2π)/3263 weeks
125-.76425 .59607 (125*2π)/3263 weeks
126-.89972 -.08975 (126*2π)/3263 weeks
127-.57944 -.74217 (127*2π)/3263 weeks
128-.03968 -.86047 (128*2π)/3263 weeks
129.74805 -.71341 (129*2π)/3263 weeks
130.86293 .02357 (130*2π)/3263 weeks
131.72022 .67397 (131*2π)/3262 weeks
132.06015 .85 (132*2π)/3262 weeks
133-.66114 .82115 (133*2π)/3262 weeks
134-.97814 -.00418 (134*2π)/3262 weeks
135-.69854 -.68537 (135*2π)/3262 weeks
136.02858 -.92545 (136*2π)/3262 weeks
137.65351 -.61494 (137*2π)/3262 weeks
138.76881 -.01665 (138*2π)/3262 weeks
139.63228 .59285 (139*2π)/3262 weeks
140.09924 .61264 (140*2π)/3262 weeks
141-.45512 .76768 (141*2π)/3262 weeks
142-.74508 .10815 (142*2π)/3262 weeks
143-.64281 -.42915 (143*2π)/3262 weeks
144-.20538 -.67822 (144*2π)/3262 weeks
145.38785 -.71019 (145*2π)/3262 weeks
146.65733 -.17948 (146*2π)/3262 weeks
147.63705 .30606 (147*2π)/3262 weeks
148.34546 .57621 (148*2π)/3262 weeks
149-.29803 .68887 (149*2π)/3262 weeks
150-.56063 .35623 (150*2π)/3262 weeks
151-.58783 -.2137 (151*2π)/3262 weeks
152-.55302 -.41575 (152*2π)/3262 weeks
153.11512 -.81654 (153*2π)/3262 weeks
154.49849 -.50794 (154*2π)/3262 weeks
155.86229 -.02106 (155*2π)/3262 weeks
156.64474 .5697 (156*2π)/3262 weeks
157-.08955 .95933 (157*2π)/3262 weeks
158-.61293 .55935 (158*2π)/3262 weeks
159-.8302 -.02403 (159*2π)/3262 weeks
160-.66097 -.551 (160*2π)/3262 weeks
161-.05284 -.98857 (161*2π)/3262 weeks
162.69271 -.62915 (162*2π)/3262 weeks
163.91201   (163*2π)/3262 weeks
164.69271 .62915 (164*2π)/3262 weeks
165-.05284 .98857 (165*2π)/3262 weeks
166-.66097 .551 (166*2π)/3262 weeks
167-.8302 .02403 (167*2π)/3262 weeks
168-.61293 -.55935 (168*2π)/3262 weeks
169-.08955 -.95933 (169*2π)/3262 weeks
170.64474 -.5697 (170*2π)/3262 weeks
171.86229 .02106 (171*2π)/3262 weeks
172.49849 .50794 (172*2π)/3262 weeks
173.11512 .81654 (173*2π)/3262 weeks
174-.55302 .41575 (174*2π)/3262 weeks
175-.58783 .2137 (175*2π)/3262 weeks
176-.56063 -.35623 (176*2π)/3262 weeks
177-.29803 -.68887 (177*2π)/3262 weeks
178.34546 -.57621 (178*2π)/3262 weeks
179.63705 -.30606 (179*2π)/3262 weeks
180.65733 .17948 (180*2π)/3262 weeks
181.38785 .71019 (181*2π)/3262 weeks
182-.20538 .67822 (182*2π)/3262 weeks
183-.64281 .42915 (183*2π)/3262 weeks
184-.74508 -.10815 (184*2π)/3262 weeks
185-.45512 -.76768 (185*2π)/3262 weeks
186.09924 -.61264 (186*2π)/3262 weeks
187.63228 -.59285 (187*2π)/3262 weeks
188.76881 .01665 (188*2π)/3262 weeks
189.65351 .61494 (189*2π)/3262 weeks
190.02858 .92545 (190*2π)/3262 weeks
191-.69854 .68537 (191*2π)/3262 weeks
192-.97814 .00418 (192*2π)/3262 weeks
193-.66114 -.82115 (193*2π)/3262 weeks
194.06015 -.85 (194*2π)/3262 weeks
195.72022 -.67397 (195*2π)/3262 weeks
196.86293 -.02357 (196*2π)/3262 weeks
197.74805 .71341 (197*2π)/3262 weeks
198-.03968 .86047 (198*2π)/3262 weeks
199-.57944 .74217 (199*2π)/3262 weeks
200-.89972 .08975 (200*2π)/3262 weeks
201-.76425 -.59607 (201*2π)/3262 weeks
202-.13277 -.87167 (202*2π)/3262 weeks
203.41612 -.84434 (203*2π)/3262 weeks
2041.04814 -.39067 (204*2π)/3262 weeks
2051.09885 .68834 (205*2π)/3262 weeks
206.15295 1.14862 (206*2π)/3262 weeks
207-.7222 .98712 (207*2π)/3262 weeks
208-1.17406 .11277 (208*2π)/3262 weeks
209-.91239 -.81188 (209*2π)/3262 weeks
210.10258 -1.02319 (210*2π)/3262 weeks
211.53171 -.73745 (211*2π)/3262 weeks
212.98518 -.22634 (212*2π)/3262 weeks
213.84747 .66153 (213*2π)/3262 weeks
214.14457 .92292 (214*2π)/3262 weeks
215-.46868 .82728 (215*2π)/3262 weeks
216-.93435 .22715 (216*2π)/3262 weeks
217-.91479 -.45158 (217*2π)/3262 weeks
218-.19862 -.87096 (218*2π)/3261 weeks
219.33449 -.91989 (219*2π)/3261 weeks
220.87368 -.36807 (220*2π)/3261 weeks
2211.00081 .35436 (221*2π)/3261 weeks
222.38458 .89802 (222*2π)/3261 weeks
223-.246 .97683 (223*2π)/3261 weeks
224-.90476 .58923 (224*2π)/3261 weeks
225-1.20721 -.32414 (225*2π)/3261 weeks
226-.54716 -1.03396 (226*2π)/3261 weeks
227.43047 -1.19759 (227*2π)/3261 weeks
2281.14883 -.46294 (228*2π)/3261 weeks
2291.09296 .5365 (229*2π)/3261 weeks
230.17757 1.04567 (230*2π)/3261 weeks
231-.29075 .81507 (231*2π)/3261 weeks
232-.83256 .46829 (232*2π)/3261 weeks
233-.99959 -.30712 (233*2π)/3261 weeks
234-.41128 -.79341 (234*2π)/3261 weeks
235.15166 -.94289 (235*2π)/3261 weeks
236.83264 -.55493 (236*2π)/3261 weeks
237.93686 .18977 (237*2π)/3261 weeks
238.52984 .67681 (238*2π)/3261 weeks
239.04013 .99351 (239*2π)/3261 weeks
240-.71512 .80403 (240*2π)/3261 weeks
241-1.26006 -.09102 (241*2π)/3261 weeks
242-.62362 -.89933 (242*2π)/3261 weeks
243.15067 -1.10424 (243*2π)/3261 weeks
244.83512 -.58299 (244*2π)/3261 weeks
2451.00154 .1816 (245*2π)/3261 weeks
246.58626 .74721 (246*2π)/3261 weeks
247-.14394 .93393 (247*2π)/3261 weeks
248-.66164 .46412 (248*2π)/3261 weeks
249-.88776 .06266 (249*2π)/3261 weeks
250-.45419 -.68846 (250*2π)/3261 weeks
251-.03736 -.60557 (251*2π)/3261 weeks
252.29734 -.59533 (252*2π)/3261 weeks
253.78602 -.36888 (253*2π)/3261 weeks
254.67846 .44641 (254*2π)/3261 weeks
255.36065 .82499 (255*2π)/3261 weeks
256-.33097 .64698 (256*2π)/3261 weeks
257-.93199 .37855 (257*2π)/3261 weeks
258-.53642 -.33444 (258*2π)/3261 weeks
259-.4203 -.60944 (259*2π)/3261 weeks
260.07301 -.73584 (260*2π)/3261 weeks
261.72285 -.58736 (261*2π)/3261 weeks
262.67241 .10082 (262*2π)/3261 weeks
263.77946 .57518 (263*2π)/3261 weeks
264-.06345 .93296 (264*2π)/3261 weeks
265-.62553 .64572 (265*2π)/3261 weeks
266-.77811 .12044 (266*2π)/3261 weeks
267-.93001 -.49755 (267*2π)/3261 weeks
268-.20564 -.9679 (268*2π)/3261 weeks
269.56441 -1.0202 (269*2π)/3261 weeks
270.97064 -.20993 (270*2π)/3261 weeks
2711.06645 .41542 (271*2π)/3261 weeks
272.43718 1.04998 (272*2π)/3261 weeks
273-.4833 1.30111 (273*2π)/3261 weeks
274-1.05064 .44703 (274*2π)/3261 weeks
275-1.47853 -.35876 (275*2π)/3261 weeks
276-.71222 -1.26841 (276*2π)/3261 weeks
277.58042 -1.70756 (277*2π)/3261 weeks
2781.4779 -.45229 (278*2π)/3261 weeks
2791.33962 .34653 (279*2π)/3261 weeks
2801.02384 1.37836 (280*2π)/3261 weeks
281-.57254 1.96009 (281*2π)/3261 weeks
282-1.57601 .68628 (282*2π)/3261 weeks
283-1.76712 -.42249 (283*2π)/3261 weeks
284-1.04411 -1.59381 (284*2π)/3261 weeks
285.46572 -2.08261 (285*2π)/3261 weeks
2861.74368 -.90904 (286*2π)/3261 weeks
2871.99406 .27559 (287*2π)/3261 weeks
2881.38639 1.68118 (288*2π)/3261 weeks
289-.29292 2.67676 (289*2π)/3261 weeks
290-2.35947 1.23831 (290*2π)/3261 weeks
291-2.37721 -.5813 (291*2π)/3261 weeks
292-1.3887 -2.27906 (292*2π)/3261 weeks
293.5655 -2.5138 (293*2π)/3261 weeks
2942.38923 -1.45195 (294*2π)/3261 weeks
2952.67092 .67472 (295*2π)/3261 weeks
2961.48213 2.17604 (296*2π)/3261 weeks
297-.49548 3.15743 (297*2π)/3261 weeks
298-2.8042 1.54875 (298*2π)/3261 weeks
299-2.84615 -.93169 (299*2π)/3261 weeks
300-1.61406 -2.39184 (300*2π)/3261 weeks
301.45927 -3.16842 (301*2π)/3261 weeks
3022.86421 -1.93983 (302*2π)/3261 weeks
3033.34513 .41018 (303*2π)/3261 weeks
3042.19866 3.18909 (304*2π)/3261 weeks
305-.61509 3.96056 (305*2π)/3261 weeks
306-3.70601 2.11312 (306*2π)/3261 weeks
307-3.97581 -1.34065 (307*2π)/3261 weeks
308-2.05791 -3.31397 (308*2π)/3261 weeks
3091.10258 -4.68356 (309*2π)/3261 weeks
3104.35026 -1.71637 (310*2π)/3261 weeks
3114.19471 1.16469 (311*2π)/3261 weeks
3121.68709 4.8794 (312*2π)/3261 weeks
313-1.26877 4.07897 (313*2π)/3261 weeks
314-5.26401 1.65834 (314*2π)/3261 weeks
315-3.86468 -2.26946 (315*2π)/3261 weeks
316-1.39845 -4.26662 (316*2π)/3261 weeks
3171.40751 -4.22266 (317*2π)/3261 weeks
3185.3828 -1.83511 (318*2π)/3261 weeks
3193.74169 2.44249 (319*2π)/3261 weeks
3201.43401 3.29284 (320*2π)/3261 weeks
321-.08555 5.24833 (321*2π)/3261 weeks
322-6.24303 4.12053 (322*2π)/3261 weeks
323-5.69638 -2.04522 (323*2π)/3261 weeks
324-3.12601 -10.35049 (324*2π)/3261 weeks

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