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Fourier Analysis of ASTM (Aastrom Biosciences, Inc.)


ASTM (Aastrom Biosciences, Inc.) appears to have interesting cyclic behaviour every 25 weeks (.8877*cosine), 28 weeks (.6626*sine), and 23 weeks (.4746*cosine).

ASTM (Aastrom Biosciences, Inc.) has an average price of 8.77 (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 1/3/2008 to 11/28/2016 for ASTM (Aastrom Biosciences, Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
08.76582   0 
1-7.91163 -1.21592 (1*2π)/276276 weeks
23.19104 -1.86236 (2*2π)/276138 weeks
3-.26943 .28486 (3*2π)/27692 weeks
4.36339 -.33928 (4*2π)/27669 weeks
5-.18487 -.0197 (5*2π)/27655 weeks
6-.10841 -.9294 (6*2π)/27646 weeks
7.56376 .40248 (7*2π)/27639 weeks
8-.20494 -.68527 (8*2π)/27635 weeks
9.24279 .49181 (9*2π)/27631 weeks
10-.51426 -.66264 (10*2π)/27628 weeks
11.88773 -.34278 (11*2π)/27625 weeks
12-.47457 .42776 (12*2π)/27623 weeks
13.02692 -.63382 (13*2π)/27621 weeks
14.04698 -.12321 (14*2π)/27620 weeks
15-.12475 -.19729 (15*2π)/27618 weeks
16.20636 .04919 (16*2π)/27617 weeks
17-.40898 -.16848 (17*2π)/27616 weeks
18.32717 -.18483 (18*2π)/27615 weeks
19-.10469 -.1417 (19*2π)/27615 weeks
20.12175 -.0304 (20*2π)/27614 weeks
21-.0359 -.0873 (21*2π)/27613 weeks
22-.08458 -.31995 (22*2π)/27613 weeks
23.27183 -.03767 (23*2π)/27612 weeks
24-.04569 -.07575 (24*2π)/27612 weeks
25-.1061 -.1234 (25*2π)/27611 weeks
26.12205 -.25305 (26*2π)/27611 weeks
27.02139 -.04101 (27*2π)/27610 weeks
28.01279 .03187 (28*2π)/27610 weeks
29-.01618 -.27892 (29*2π)/27610 weeks
30-.02111 -.02707 (30*2π)/2769 weeks
31.07714 -.05097 (31*2π)/2769 weeks
32.1098 -.2131 (32*2π)/2769 weeks
33-.1333 .07345 (33*2π)/2768 weeks
34-.07609 -.42477 (34*2π)/2768 weeks
35.16988 .07629 (35*2π)/2768 weeks
36-.21575 -.04628 (36*2π)/2768 weeks
37-.01928 -.19451 (37*2π)/2767 weeks
38-.04189 -.02631 (38*2π)/2767 weeks
39.05567 -.06033 (39*2π)/2767 weeks
40-.09181 -.05393 (40*2π)/2767 weeks
41-.04151 -.05297 (41*2π)/2767 weeks
42.0813 -.07446 (42*2π)/2767 weeks
43-.12887 -.18199 (43*2π)/2766 weeks
44.09802 .11067 (44*2π)/2766 weeks
45-.12369 -.06025 (45*2π)/2766 weeks
46-.00715 -.25216 (46*2π)/2766 weeks
47.09358 .10455 (47*2π)/2766 weeks
48-.16748 -.04157 (48*2π)/2766 weeks
49-.00102 -.11211 (49*2π)/2766 weeks
50.01406 .02244 (50*2π)/2766 weeks
51.00157 -.09388 (51*2π)/2765 weeks
52-.0093 -.01416 (52*2π)/2765 weeks
53-.12345 -.11594 (53*2π)/2765 weeks
54.00305 .00373 (54*2π)/2765 weeks
55-.02647 -.10831 (55*2π)/2765 weeks
56-.00944 .0241 (56*2π)/2765 weeks
57-.13922 -.03646 (57*2π)/2765 weeks
58.04969 -.17914 (58*2π)/2765 weeks
59-.04621 .03053 (59*2π)/2765 weeks
60-.1044 -.0092 (60*2π)/2765 weeks
61-.00744 -.07328 (61*2π)/2765 weeks
62-.042 -.08033 (62*2π)/2764 weeks
63.01693 .02378 (63*2π)/2764 weeks
64-.04928 -.0508 (64*2π)/2764 weeks
65-.02068 -.10502 (65*2π)/2764 weeks
66-.08003 -.01151 (66*2π)/2764 weeks
67.0337 -.0741 (67*2π)/2764 weeks
68-.02061 .04146 (68*2π)/2764 weeks
69-.12358 -.09823 (69*2π)/2764 weeks
70.06333 -.06169 (70*2π)/2764 weeks
71-.02349 -.00674 (71*2π)/2764 weeks
72-.0801 -.0572 (72*2π)/2764 weeks
73-.06559 -.0501 (73*2π)/2764 weeks
74-.03205 -.03994 (74*2π)/2764 weeks
75-.00183 .01309 (75*2π)/2764 weeks
76-.06641 -.03198 (76*2π)/2764 weeks
77-.0288 -.02999 (77*2π)/2764 weeks
78-.0443 -.05705 (78*2π)/2764 weeks
79.02363 -.01932 (79*2π)/2763 weeks
80-.05348 .00659 (80*2π)/2763 weeks
81-.09867 -.05914 (81*2π)/2763 weeks
82.05452 -.06947 (82*2π)/2763 weeks
83-.06268 .03591 (83*2π)/2763 weeks
84-.0923 -.00945 (84*2π)/2763 weeks
85.02581 -.02944 (85*2π)/2763 weeks
86-.07265 .01066 (86*2π)/2763 weeks
87.03779 -.01228 (87*2π)/2763 weeks
88-.03135 .0072 (88*2π)/2763 weeks
89-.07509 -.03376 (89*2π)/2763 weeks
90-.0086 -.07528 (90*2π)/2763 weeks
91-.04629 .01877 (91*2π)/2763 weeks
92-.09234 .06129 (92*2π)/2763 weeks
93-.08441 -.10983 (93*2π)/2763 weeks
94.00944 .0838 (94*2π)/2763 weeks
95-.06738 -.03584 (95*2π)/2763 weeks
96-.05472 .01412 (96*2π)/2763 weeks
97-.05717 -.02809 (97*2π)/2763 weeks
98-.0427 -.04526 (98*2π)/2763 weeks
99-.04217 -.00195 (99*2π)/2763 weeks
100-.06752 .00978 (100*2π)/2763 weeks
101-.09081 -.06876 (101*2π)/2763 weeks
102-.0286 -.00393 (102*2π)/2763 weeks
103-.01661 .01535 (103*2π)/2763 weeks
104-.05952 .00646 (104*2π)/2763 weeks
105-.03651 -.08276 (105*2π)/2763 weeks
106-.03148 -.01542 (106*2π)/2763 weeks
107-.01071 .0398 (107*2π)/2763 weeks
108-.05161 -.05991 (108*2π)/2763 weeks
109-.06988 .0098 (109*2π)/2763 weeks
110.02165 -.00413 (110*2π)/2763 weeks
111-.01723 .0284 (111*2π)/2762 weeks
112.00252 -.00398 (112*2π)/2762 weeks
113-.07941 -.03457 (113*2π)/2762 weeks
114.04173 -.00753 (114*2π)/2762 weeks
115-.02825 .02422 (115*2π)/2762 weeks
116-.08111 -.01786 (116*2π)/2762 weeks
117-.02488 .05704 (117*2π)/2762 weeks
118.04128 -.05591 (118*2π)/2762 weeks
119-.07402 .03246 (119*2π)/2762 weeks
120-.05436 .06931 (120*2π)/2762 weeks
121.00703 -.03863 (121*2π)/2762 weeks
122-.00283 .02713 (122*2π)/2762 weeks
123-.01225 .00609 (123*2π)/2762 weeks
124-.03959 -.00856 (124*2π)/2762 weeks
125-.09253 -.00014 (125*2π)/2762 weeks
126.03326 .00151 (126*2π)/2762 weeks
127-.07376 .06299 (127*2π)/2762 weeks
128.00519 .03415 (128*2π)/2762 weeks
129-.05833 -.04509 (129*2π)/2762 weeks
130.02015 .03204 (130*2π)/2762 weeks
131-.02061 .04652 (131*2π)/2762 weeks
132-.04485 -.05633 (132*2π)/2762 weeks
133-.05404 .05473 (133*2π)/2762 weeks
134.0085 -.05324 (134*2π)/2762 weeks
135-.03333 .08042 (135*2π)/2762 weeks
136-.03812 -.00902 (136*2π)/2762 weeks
137-.01317 -.04987 (137*2π)/2762 weeks
138-.05091   (138*2π)/2762 weeks
139-.01317 .04987 (139*2π)/2762 weeks
140-.03812 .00902 (140*2π)/2762 weeks
141-.03333 -.08042 (141*2π)/2762 weeks
142.0085 .05324 (142*2π)/2762 weeks
143-.05404 -.05473 (143*2π)/2762 weeks
144-.04485 .05633 (144*2π)/2762 weeks
145-.02061 -.04652 (145*2π)/2762 weeks
146.02015 -.03204 (146*2π)/2762 weeks
147-.05833 .04509 (147*2π)/2762 weeks
148.00519 -.03415 (148*2π)/2762 weeks
149-.07376 -.06299 (149*2π)/2762 weeks
150.03326 -.00151 (150*2π)/2762 weeks
151-.09253 .00014 (151*2π)/2762 weeks
152-.03959 .00856 (152*2π)/2762 weeks
153-.01225 -.00609 (153*2π)/2762 weeks
154-.00283 -.02713 (154*2π)/2762 weeks
155.00703 .03863 (155*2π)/2762 weeks
156-.05436 -.06931 (156*2π)/2762 weeks
157-.07402 -.03246 (157*2π)/2762 weeks
158.04128 .05591 (158*2π)/2762 weeks
159-.02488 -.05704 (159*2π)/2762 weeks
160-.08111 .01786 (160*2π)/2762 weeks
161-.02825 -.02422 (161*2π)/2762 weeks
162.04173 .00753 (162*2π)/2762 weeks
163-.07941 .03457 (163*2π)/2762 weeks
164.00252 .00398 (164*2π)/2762 weeks
165-.01723 -.0284 (165*2π)/2762 weeks
166.02165 .00413 (166*2π)/2762 weeks
167-.06988 -.0098 (167*2π)/2762 weeks
168-.05161 .05991 (168*2π)/2762 weeks
169-.01071 -.0398 (169*2π)/2762 weeks
170-.03148 .01542 (170*2π)/2762 weeks
171-.03651 .08276 (171*2π)/2762 weeks
172-.05952 -.00646 (172*2π)/2762 weeks
173-.01661 -.01535 (173*2π)/2762 weeks
174-.0286 .00393 (174*2π)/2762 weeks
175-.09081 .06876 (175*2π)/2762 weeks
176-.06752 -.00978 (176*2π)/2762 weeks
177-.04217 .00195 (177*2π)/2762 weeks
178-.0427 .04526 (178*2π)/2762 weeks
179-.05717 .02809 (179*2π)/2762 weeks
180-.05472 -.01412 (180*2π)/2762 weeks
181-.06738 .03584 (181*2π)/2762 weeks
182.00944 -.0838 (182*2π)/2762 weeks
183-.08441 .10983 (183*2π)/2762 weeks
184-.09234 -.06129 (184*2π)/2762 weeks
185-.04629 -.01877 (185*2π)/2761 weeks
186-.0086 .07528 (186*2π)/2761 weeks
187-.07509 .03376 (187*2π)/2761 weeks
188-.03135 -.0072 (188*2π)/2761 weeks
189.03779 .01228 (189*2π)/2761 weeks
190-.07265 -.01066 (190*2π)/2761 weeks
191.02581 .02944 (191*2π)/2761 weeks
192-.0923 .00945 (192*2π)/2761 weeks
193-.06268 -.03591 (193*2π)/2761 weeks
194.05452 .06947 (194*2π)/2761 weeks
195-.09867 .05914 (195*2π)/2761 weeks
196-.05348 -.00659 (196*2π)/2761 weeks
197.02363 .01932 (197*2π)/2761 weeks
198-.0443 .05705 (198*2π)/2761 weeks
199-.0288 .02999 (199*2π)/2761 weeks
200-.06641 .03198 (200*2π)/2761 weeks
201-.00183 -.01309 (201*2π)/2761 weeks
202-.03205 .03994 (202*2π)/2761 weeks
203-.06559 .0501 (203*2π)/2761 weeks
204-.0801 .0572 (204*2π)/2761 weeks
205-.02349 .00674 (205*2π)/2761 weeks
206.06333 .06169 (206*2π)/2761 weeks
207-.12358 .09823 (207*2π)/2761 weeks
208-.02061 -.04146 (208*2π)/2761 weeks
209.0337 .0741 (209*2π)/2761 weeks
210-.08003 .01151 (210*2π)/2761 weeks
211-.02068 .10502 (211*2π)/2761 weeks
212-.04928 .0508 (212*2π)/2761 weeks
213.01693 -.02378 (213*2π)/2761 weeks
214-.042 .08033 (214*2π)/2761 weeks
215-.00744 .07328 (215*2π)/2761 weeks
216-.1044 .0092 (216*2π)/2761 weeks
217-.04621 -.03053 (217*2π)/2761 weeks
218.04969 .17914 (218*2π)/2761 weeks
219-.13922 .03646 (219*2π)/2761 weeks
220-.00944 -.0241 (220*2π)/2761 weeks
221-.02647 .10831 (221*2π)/2761 weeks
222.00305 -.00373 (222*2π)/2761 weeks
223-.12345 .11594 (223*2π)/2761 weeks
224-.0093 .01416 (224*2π)/2761 weeks
225.00157 .09388 (225*2π)/2761 weeks
226.01406 -.02244 (226*2π)/2761 weeks
227-.00102 .11211 (227*2π)/2761 weeks
228-.16748 .04157 (228*2π)/2761 weeks
229.09358 -.10455 (229*2π)/2761 weeks
230-.00715 .25216 (230*2π)/2761 weeks
231-.12369 .06025 (231*2π)/2761 weeks
232.09802 -.11067 (232*2π)/2761 weeks
233-.12887 .18199 (233*2π)/2761 weeks
234.0813 .07446 (234*2π)/2761 weeks
235-.04151 .05297 (235*2π)/2761 weeks
236-.09181 .05393 (236*2π)/2761 weeks
237.05567 .06033 (237*2π)/2761 weeks
238-.04189 .02631 (238*2π)/2761 weeks
239-.01928 .19451 (239*2π)/2761 weeks
240-.21575 .04628 (240*2π)/2761 weeks
241.16988 -.07629 (241*2π)/2761 weeks
242-.07609 .42477 (242*2π)/2761 weeks
243-.1333 -.07345 (243*2π)/2761 weeks
244.1098 .2131 (244*2π)/2761 weeks
245.07714 .05097 (245*2π)/2761 weeks
246-.02111 .02707 (246*2π)/2761 weeks
247-.01618 .27892 (247*2π)/2761 weeks
248.01279 -.03187 (248*2π)/2761 weeks
249.02139 .04101 (249*2π)/2761 weeks
250.12205 .25305 (250*2π)/2761 weeks
251-.1061 .1234 (251*2π)/2761 weeks
252-.04569 .07575 (252*2π)/2761 weeks
253.27183 .03767 (253*2π)/2761 weeks
254-.08458 .31995 (254*2π)/2761 weeks
255-.0359 .0873 (255*2π)/2761 weeks
256.12175 .0304 (256*2π)/2761 weeks
257-.10469 .1417 (257*2π)/2761 weeks
258.32717 .18483 (258*2π)/2761 weeks
259-.40898 .16848 (259*2π)/2761 weeks
260.20636 -.04919 (260*2π)/2761 weeks
261-.12475 .19729 (261*2π)/2761 weeks
262.04698 .12321 (262*2π)/2761 weeks
263.02692 .63382 (263*2π)/2761 weeks
264-.47457 -.42776 (264*2π)/2761 weeks
265.88773 .34278 (265*2π)/2761 weeks
266-.51426 .66264 (266*2π)/2761 weeks
267.24279 -.49181 (267*2π)/2761 weeks
268-.20494 .68527 (268*2π)/2761 weeks
269.56376 -.40248 (269*2π)/2761 weeks
270-.10841 .9294 (270*2π)/2761 weeks
271-.18487 .0197 (271*2π)/2761 weeks
272.36339 .33928 (272*2π)/2761 weeks
273-.26943 -.28486 (273*2π)/2761 weeks
2743.19104 1.86236 (274*2π)/2761 weeks

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