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Fourier Analysis of AMBS (AMARANTUS BIOSCI IN)


AMBS (AMARANTUS BIOSCI IN) appears to have interesting cyclic behaviour every 27 weeks (732.4183*cosine), 24 weeks (641.7269*sine), and 32 weeks (600.8033*sine).

AMBS (AMARANTUS BIOSCI IN) has an average price of 1,360.83 (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 6/19/2017 for AMBS (AMARANTUS BIOSCI IN), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
01,360.825   0 
1-126.0795 1,023.839 (1*2π)/355355 weeks
251.86329 1,424.772 (2*2π)/355178 weeks
3-877.5415 271.8825 (3*2π)/355118 weeks
4-1,079.497 -153.4064 (4*2π)/35589 weeks
5-270.5829 -757.8326 (5*2π)/35571 weeks
6190.0272 -563.5735 (6*2π)/35559 weeks
7273.9673 -460.0532 (7*2π)/35551 weeks
8645.512 -180.8057 (8*2π)/35544 weeks
9653.9221 435.103 (9*2π)/35539 weeks
10108.114 554.3805 (10*2π)/35536 weeks
11-256.8649 600.8033 (11*2π)/35532 weeks
12-506.1939 315.5124 (12*2π)/35530 weeks
13-732.4183 -207.0507 (13*2π)/35527 weeks
14-259.8993 -572.4373 (14*2π)/35525 weeks
1580.17764 -641.7269 (15*2π)/35524 weeks
16596.1366 -331.784 (16*2π)/35522 weeks
17575.3998 33.65347 (17*2π)/35521 weeks
18432.35 542.4561 (18*2π)/35520 weeks
19-87.64345 593.7909 (19*2π)/35519 weeks
20-380.1646 370.7415 (20*2π)/35518 weeks
21-593.2166 58.6953 (21*2π)/35517 weeks
22-439.0903 -373.4712 (22*2π)/35516 weeks
23-31.77205 -555.4787 (23*2π)/35515 weeks
24303.6677 -423.9435 (24*2π)/35515 weeks
25471.2877 -56.8256 (25*2π)/35514 weeks
26428.2745 210.3464 (26*2π)/35514 weeks
27120.6527 424.0578 (27*2π)/35513 weeks
28-159.4843 393.0664 (28*2π)/35513 weeks
29-318.1214 213.9307 (29*2π)/35512 weeks
30-435.3754 -66.72581 (30*2π)/35512 weeks
31-284.2528 -347.0174 (31*2π)/35511 weeks
3287.00289 -394.787 (32*2π)/35511 weeks
33260.2434 -268.8517 (33*2π)/35511 weeks
34367.8857 -25.3035 (34*2π)/35510 weeks
35306.8662 246.3066 (35*2π)/35510 weeks
3669.03783 341.348 (36*2π)/35510 weeks
37-193.19 315.5372 (37*2π)/35510 weeks
38-322.2975 112.0787 (38*2π)/3559 weeks
39-329.8492 -118.5041 (39*2π)/3559 weeks
40-147.0682 -362.5992 (40*2π)/3559 weeks
41134.4289 -279.4027 (41*2π)/3559 weeks
42267.1676 -130.0958 (42*2π)/3558 weeks
43255.2388 37.49782 (43*2π)/3558 weeks
44194.4463 212.0069 (44*2π)/3558 weeks
45-12.85191 288.7182 (45*2π)/3558 weeks
46-173.7236 182.4659 (46*2π)/3558 weeks
47-250.7522 25.74266 (47*2π)/3558 weeks
48-214.8009 -100.5567 (48*2π)/3557 weeks
49-74.77573 -272.2614 (49*2π)/3557 weeks
50126.3273 -205.9845 (50*2π)/3557 weeks
51183.3818 -61.144 (51*2π)/3557 weeks
52203.2731 25.15178 (52*2π)/3557 weeks
53151.2582 187.6745 (53*2π)/3557 weeks
54-55.93277 217.1441 (54*2π)/3557 weeks
55-151.9637 139.3084 (55*2π)/3556 weeks
56-179.5896 -32.90186 (56*2π)/3556 weeks
57-149.9789 -93.54065 (57*2π)/3556 weeks
58-15.10363 -176.6089 (58*2π)/3556 weeks
5979.6345 -142.3628 (59*2π)/3556 weeks
60143.2288 -44.92393 (60*2π)/3556 weeks
61134.5704 35.02935 (61*2π)/3556 weeks
6291.69394 133.7245 (62*2π)/3556 weeks
63-21.15223 130.8867 (63*2π)/3556 weeks
64-114.4461 103.3555 (64*2π)/3556 weeks
65-109.3415 -3.40459 (65*2π)/3555 weeks
66-106.7485 -60.78473 (66*2π)/3555 weeks
67-49.88044 -110.3921 (67*2π)/3555 weeks
6849.52226 -129.648 (68*2π)/3555 weeks
69108.1897 -38.38686 (69*2π)/3555 weeks
70101.93 -2.92451 (70*2π)/3555 weeks
7180.46834 101.7532 (71*2π)/3555 weeks
727.69119 97.19486 (72*2π)/3555 weeks
73-65.22074 78.73858 (73*2π)/3555 weeks
74-73.47993 51.42011 (74*2π)/3555 weeks
75-129.0365 -30.58038 (75*2π)/3555 weeks
76-51.1437 -92.94293 (76*2π)/3555 weeks
776.71729 -123.7168 (77*2π)/3555 weeks
7879.66293 -66.50819 (78*2π)/3555 weeks
79130.3024 -12.27394 (79*2π)/3554 weeks
8064.34498 73.34762 (80*2π)/3554 weeks
8123.03514 91.39597 (81*2π)/3554 weeks
82-9.83848 80.98801 (82*2π)/3554 weeks
83-93.57965 82.73824 (83*2π)/3554 weeks
84-116.9608 -15.57443 (84*2π)/3554 weeks
85-83.67514 -67.72377 (85*2π)/3554 weeks
86-23.50351 -134.3171 (86*2π)/3554 weeks
8767.06499 -107.2785 (87*2π)/3554 weeks
88133.0468 -40.63617 (88*2π)/3554 weeks
89130.568 52.76752 (89*2π)/3554 weeks
9061.85085 135.1836 (90*2π)/3554 weeks
91-45.45412 144.8883 (91*2π)/3554 weeks
92-133.9464 88.73637 (92*2π)/3554 weeks
93-160.9913 -58.67107 (93*2π)/3554 weeks
94-70.30901 -122.3316 (94*2π)/3554 weeks
9533.08197 -126.8587 (95*2π)/3554 weeks
9681.43803 -90.90869 (96*2π)/3554 weeks
97128.3392 -16.52173 (97*2π)/3554 weeks
98117.8546 77.51955 (98*2π)/3554 weeks
9930.63291 126.2194 (99*2π)/3554 weeks
100-48.67439 113.1301 (100*2π)/3554 weeks
101-120.5965 74.66493 (101*2π)/3554 weeks
102-128.0745 -38.83738 (102*2π)/3553 weeks
103-76.79092 -105.3292 (103*2π)/3553 weeks
104-17.13743 -116.2893 (104*2π)/3553 weeks
10590.75718 -138.8018 (105*2π)/3553 weeks
106163.8166 -30.07962 (106*2π)/3553 weeks
107140.4465 98.55824 (107*2π)/3553 weeks
10834.41447 171.9577 (108*2π)/3553 weeks
109-85.52209 134.5708 (109*2π)/3553 weeks
110-168.7705 44.52869 (110*2π)/3553 weeks
111-126.3775 -74.43327 (111*2π)/3553 weeks
112-49.12384 -135.3623 (112*2π)/3553 weeks
11330.12162 -127.1395 (113*2π)/3553 weeks
114120.1818 -82.4225 (114*2π)/3553 weeks
115134.8432 17.88398 (115*2π)/3553 weeks
11694.3018 96.32144 (116*2π)/3553 weeks
1173.32319 123.8961 (117*2π)/3553 weeks
118-61.73619 119.9426 (118*2π)/3553 weeks
119-131.8128 27.92562 (119*2π)/3553 weeks
120-126.8597 -49.2017 (120*2π)/3553 weeks
121-51.01884 -116.7627 (121*2π)/3553 weeks
12222.27712 -130.5249 (122*2π)/3553 weeks
123108.4847 -93.76131 (123*2π)/3553 weeks
124143.5803 20.76728 (124*2π)/3553 weeks
12591.62939 89.20934 (125*2π)/3553 weeks
12631.48696 121.5981 (126*2π)/3553 weeks
127-75.96039 152.4313 (127*2π)/3553 weeks
128-153.4071 39.73853 (128*2π)/3553 weeks
129-151.9259 -78.64208 (129*2π)/3553 weeks
130-52.15505 -151.6536 (130*2π)/3553 weeks
13162.01516 -154.6101 (131*2π)/3553 weeks
132165.8136 -63.8098 (132*2π)/3553 weeks
133130.0247 69.0147 (133*2π)/3553 weeks
13455.49359 121.1348 (134*2π)/3553 weeks
135-13.20002 116.2736 (135*2π)/3553 weeks
136-101.1695 89.74554 (136*2π)/3553 weeks
137-125.3562 7.78433 (137*2π)/3553 weeks
138-99.61853 -82.16525 (138*2π)/3553 weeks
139-27.4547 -116.492 (139*2π)/3553 weeks
14047.79285 -124.223 (140*2π)/3553 weeks
141129.6706 -38.70583 (141*2π)/3553 weeks
142119.6817 26.08025 (142*2π)/3553 weeks
14361.74944 116.1201 (143*2π)/3552 weeks
144-3.4834 123.9557 (144*2π)/3552 weeks
145-106.2743 95.41907 (145*2π)/3552 weeks
146-137.2216 -8.71985 (146*2π)/3552 weeks
147-96.56799 -90.10525 (147*2π)/3552 weeks
148-1.67391 -129.8223 (148*2π)/3552 weeks
14974.88914 -100.0301 (149*2π)/3552 weeks
150106.5169 -14.84543 (150*2π)/3552 weeks
151110.0907 47.82898 (151*2π)/3552 weeks
15226.66306 91.05287 (152*2π)/3552 weeks
153-6.26261 106.2739 (153*2π)/3552 weeks
154-96.34712 67.75793 (154*2π)/3552 weeks
155-101.9375 -9.60078 (155*2π)/3552 weeks
156-75.71059 -74.42883 (156*2π)/3552 weeks
157-17.59402 -94.47757 (157*2π)/3552 weeks
15864.74841 -94.3236 (158*2π)/3552 weeks
15987.98167 -26.18992 (159*2π)/3552 weeks
16089.70171 39.98465 (160*2π)/3552 weeks
16154.66376 72.18006 (161*2π)/3552 weeks
162-19.42862 103.7532 (162*2π)/3552 weeks
163-66.60841 60.01225 (163*2π)/3552 weeks
164-95.74204 2.27423 (164*2π)/3552 weeks
165-65.00062 -36.47505 (165*2π)/3552 weeks
166-56.16925 -101.4528 (166*2π)/3552 weeks
16745.99687 -90.74464 (167*2π)/3552 weeks
16885.89245 -64.83315 (168*2π)/3552 weeks
169113.2645 16.76906 (169*2π)/3552 weeks
17084.29983 91.71968 (170*2π)/3552 weeks
171-12.22118 129.7891 (171*2π)/3552 weeks
172-83.95537 76.07209 (172*2π)/3552 weeks
173-118.0077 11.11446 (173*2π)/3552 weeks
174-94.83798 -58.44114 (174*2π)/3552 weeks
175-41.31171 -129.1549 (175*2π)/3552 weeks
17663.69539 -115.6623 (176*2π)/3552 weeks
177119.967 -39.20477 (177*2π)/3552 weeks
178119.967 39.20477 (178*2π)/3552 weeks
17963.69539 115.6623 (179*2π)/3552 weeks
180-41.31171 129.1549 (180*2π)/3552 weeks
181-94.83798 58.44114 (181*2π)/3552 weeks
182-118.0077 -11.11446 (182*2π)/3552 weeks
183-83.95537 -76.07209 (183*2π)/3552 weeks
184-12.22118 -129.7891 (184*2π)/3552 weeks
18584.29983 -91.71968 (185*2π)/3552 weeks
186113.2645 -16.76906 (186*2π)/3552 weeks
18785.89245 64.83315 (187*2π)/3552 weeks
18845.99687 90.74464 (188*2π)/3552 weeks
189-56.16925 101.4528 (189*2π)/3552 weeks
190-65.00062 36.47505 (190*2π)/3552 weeks
191-95.74204 -2.27423 (191*2π)/3552 weeks
192-66.60841 -60.01225 (192*2π)/3552 weeks
193-19.42862 -103.7532 (193*2π)/3552 weeks
19454.66376 -72.18006 (194*2π)/3552 weeks
19589.70171 -39.98465 (195*2π)/3552 weeks
19687.98167 26.18992 (196*2π)/3552 weeks
19764.74841 94.3236 (197*2π)/3552 weeks
198-17.59402 94.47757 (198*2π)/3552 weeks
199-75.71059 74.42883 (199*2π)/3552 weeks
200-101.9375 9.60078 (200*2π)/3552 weeks
201-96.34712 -67.75793 (201*2π)/3552 weeks
202-6.26261 -106.2739 (202*2π)/3552 weeks
20326.66306 -91.05287 (203*2π)/3552 weeks
204110.0907 -47.82898 (204*2π)/3552 weeks
205106.5169 14.84543 (205*2π)/3552 weeks
20674.88914 100.0301 (206*2π)/3552 weeks
207-1.67391 129.8223 (207*2π)/3552 weeks
208-96.56799 90.10525 (208*2π)/3552 weeks
209-137.2216 8.71985 (209*2π)/3552 weeks
210-106.2743 -95.41907 (210*2π)/3552 weeks
211-3.4834 -123.9557 (211*2π)/3552 weeks
21261.74944 -116.1201 (212*2π)/3552 weeks
213119.6817 -26.08025 (213*2π)/3552 weeks
214129.6706 38.70583 (214*2π)/3552 weeks
21547.79285 124.223 (215*2π)/3552 weeks
216-27.4547 116.492 (216*2π)/3552 weeks
217-99.61853 82.16525 (217*2π)/3552 weeks
218-125.3562 -7.78433 (218*2π)/3552 weeks
219-101.1695 -89.74554 (219*2π)/3552 weeks
220-13.20002 -116.2736 (220*2π)/3552 weeks
22155.49359 -121.1348 (221*2π)/3552 weeks
222130.0247 -69.0147 (222*2π)/3552 weeks
223165.8136 63.8098 (223*2π)/3552 weeks
22462.01516 154.6101 (224*2π)/3552 weeks
225-52.15505 151.6536 (225*2π)/3552 weeks
226-151.9259 78.64208 (226*2π)/3552 weeks
227-153.4071 -39.73853 (227*2π)/3552 weeks
228-75.96039 -152.4313 (228*2π)/3552 weeks
22931.48696 -121.5981 (229*2π)/3552 weeks
23091.62939 -89.20934 (230*2π)/3552 weeks
231143.5803 -20.76728 (231*2π)/3552 weeks
232108.4847 93.76131 (232*2π)/3552 weeks
23322.27712 130.5249 (233*2π)/3552 weeks
234-51.01884 116.7627 (234*2π)/3552 weeks
235-126.8597 49.2017 (235*2π)/3552 weeks
236-131.8128 -27.92562 (236*2π)/3552 weeks
237-61.73619 -119.9426 (237*2π)/3551 weeks
2383.32319 -123.8961 (238*2π)/3551 weeks
23994.3018 -96.32144 (239*2π)/3551 weeks
240134.8432 -17.88398 (240*2π)/3551 weeks
241120.1818 82.4225 (241*2π)/3551 weeks
24230.12162 127.1395 (242*2π)/3551 weeks
243-49.12384 135.3623 (243*2π)/3551 weeks
244-126.3775 74.43327 (244*2π)/3551 weeks
245-168.7705 -44.52869 (245*2π)/3551 weeks
246-85.52209 -134.5708 (246*2π)/3551 weeks
24734.41447 -171.9577 (247*2π)/3551 weeks
248140.4465 -98.55824 (248*2π)/3551 weeks
249163.8166 30.07962 (249*2π)/3551 weeks
25090.75718 138.8018 (250*2π)/3551 weeks
251-17.13743 116.2893 (251*2π)/3551 weeks
252-76.79092 105.3292 (252*2π)/3551 weeks
253-128.0745 38.83738 (253*2π)/3551 weeks
254-120.5965 -74.66493 (254*2π)/3551 weeks
255-48.67439 -113.1301 (255*2π)/3551 weeks
25630.63291 -126.2194 (256*2π)/3551 weeks
257117.8546 -77.51955 (257*2π)/3551 weeks
258128.3392 16.52173 (258*2π)/3551 weeks
25981.43803 90.90869 (259*2π)/3551 weeks
26033.08197 126.8587 (260*2π)/3551 weeks
261-70.30901 122.3316 (261*2π)/3551 weeks
262-160.9913 58.67107 (262*2π)/3551 weeks
263-133.9464 -88.73637 (263*2π)/3551 weeks
264-45.45412 -144.8883 (264*2π)/3551 weeks
26561.85085 -135.1836 (265*2π)/3551 weeks
266130.568 -52.76752 (266*2π)/3551 weeks
267133.0468 40.63617 (267*2π)/3551 weeks
26867.06499 107.2785 (268*2π)/3551 weeks
269-23.50351 134.3171 (269*2π)/3551 weeks
270-83.67514 67.72377 (270*2π)/3551 weeks
271-116.9608 15.57443 (271*2π)/3551 weeks
272-93.57965 -82.73824 (272*2π)/3551 weeks
273-9.83848 -80.98801 (273*2π)/3551 weeks
27423.03514 -91.39597 (274*2π)/3551 weeks
27564.34498 -73.34762 (275*2π)/3551 weeks
276130.3024 12.27394 (276*2π)/3551 weeks
27779.66293 66.50819 (277*2π)/3551 weeks
2786.71729 123.7168 (278*2π)/3551 weeks
279-51.1437 92.94293 (279*2π)/3551 weeks
280-129.0365 30.58038 (280*2π)/3551 weeks
281-73.47993 -51.42011 (281*2π)/3551 weeks
282-65.22074 -78.73858 (282*2π)/3551 weeks
2837.69119 -97.19486 (283*2π)/3551 weeks
28480.46834 -101.7532 (284*2π)/3551 weeks
285101.93 2.92451 (285*2π)/3551 weeks
286108.1897 38.38686 (286*2π)/3551 weeks
28749.52226 129.648 (287*2π)/3551 weeks
288-49.88044 110.3921 (288*2π)/3551 weeks
289-106.7485 60.78473 (289*2π)/3551 weeks
290-109.3415 3.40459 (290*2π)/3551 weeks
291-114.4461 -103.3555 (291*2π)/3551 weeks
292-21.15223 -130.8867 (292*2π)/3551 weeks
29391.69394 -133.7245 (293*2π)/3551 weeks
294134.5704 -35.02935 (294*2π)/3551 weeks
295143.2288 44.92393 (295*2π)/3551 weeks
29679.6345 142.3628 (296*2π)/3551 weeks
297-15.10363 176.6089 (297*2π)/3551 weeks
298-149.9789 93.54065 (298*2π)/3551 weeks
299-179.5896 32.90186 (299*2π)/3551 weeks
300-151.9637 -139.3084 (300*2π)/3551 weeks
301-55.93277 -217.1441 (301*2π)/3551 weeks
302151.2582 -187.6745 (302*2π)/3551 weeks
303203.2731 -25.15178 (303*2π)/3551 weeks
304183.3818 61.144 (304*2π)/3551 weeks
305126.3273 205.9845 (305*2π)/3551 weeks
306-74.77573 272.2614 (306*2π)/3551 weeks
307-214.8009 100.5567 (307*2π)/3551 weeks
308-250.7522 -25.74266 (308*2π)/3551 weeks
309-173.7236 -182.4659 (309*2π)/3551 weeks
310-12.85191 -288.7182 (310*2π)/3551 weeks
311194.4463 -212.0069 (311*2π)/3551 weeks
312255.2388 -37.49782 (312*2π)/3551 weeks
313267.1676 130.0958 (313*2π)/3551 weeks
314134.4289 279.4027 (314*2π)/3551 weeks
315-147.0682 362.5992 (315*2π)/3551 weeks
316-329.8492 118.5041 (316*2π)/3551 weeks
317-322.2975 -112.0787 (317*2π)/3551 weeks
318-193.19 -315.5372 (318*2π)/3551 weeks
31969.03783 -341.348 (319*2π)/3551 weeks
320306.8662 -246.3066 (320*2π)/3551 weeks
321367.8857 25.3035 (321*2π)/3551 weeks
322260.2434 268.8517 (322*2π)/3551 weeks
32387.00289 394.787 (323*2π)/3551 weeks
324-284.2528 347.0174 (324*2π)/3551 weeks
325-435.3754 66.72581 (325*2π)/3551 weeks
326-318.1214 -213.9307 (326*2π)/3551 weeks
327-159.4843 -393.0664 (327*2π)/3551 weeks
328120.6527 -424.0578 (328*2π)/3551 weeks
329428.2745 -210.3464 (329*2π)/3551 weeks
330471.2877 56.8256 (330*2π)/3551 weeks
331303.6677 423.9435 (331*2π)/3551 weeks
332-31.77205 555.4787 (332*2π)/3551 weeks
333-439.0903 373.4712 (333*2π)/3551 weeks
334-593.2166 -58.6953 (334*2π)/3551 weeks
335-380.1646 -370.7415 (335*2π)/3551 weeks
336-87.64345 -593.7909 (336*2π)/3551 weeks
337432.35 -542.4561 (337*2π)/3551 weeks
338575.3998 -33.65347 (338*2π)/3551 weeks
339596.1366 331.784 (339*2π)/3551 weeks
34080.17764 641.7269 (340*2π)/3551 weeks
341-259.8993 572.4373 (341*2π)/3551 weeks
342-732.4183 207.0507 (342*2π)/3551 weeks
343-506.1939 -315.5124 (343*2π)/3551 weeks
344-256.8649 -600.8033 (344*2π)/3551 weeks
345108.114 -554.3805 (345*2π)/3551 weeks
346653.9221 -435.103 (346*2π)/3551 weeks
347645.512 180.8057 (347*2π)/3551 weeks
348273.9673 460.0532 (348*2π)/3551 weeks
349190.0272 563.5735 (349*2π)/3551 weeks
350-270.5829 757.8326 (350*2π)/3551 weeks
351-1,079.497 153.4064 (351*2π)/3551 weeks
352-877.5415 -271.8825 (352*2π)/3551 weeks
35351.86329 -1,424.772 (353*2π)/3551 weeks



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