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Fourier Analysis of ABIO (ARCA biopharma, Inc.)


ABIO (ARCA biopharma, Inc.) appears to have interesting cyclic behaviour every 102 weeks (4882.1*cosine), 102 weeks (4407.382*sine), and 93 weeks (4309.188*cosine).

ABIO (ARCA biopharma, Inc.) has an average price of 11,139.4 (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 8/8/1997 to 2/13/2017 for ABIO (ARCA biopharma, Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
011,139.4   0 
18,721.173 14,388.44 (1*2π)/10191,019 weeks
2-293.2849 11,104.37 (2*2π)/1019510 weeks
3-8,042.057 6,370.217 (3*2π)/1019340 weeks
4-5,637.362 -4,691.701 (4*2π)/1019255 weeks
51,661.199 -5,622.913 (5*2π)/1019204 weeks
67,028.337 -3,103.252 (6*2π)/1019170 weeks
77,200.39 3,949.592 (7*2π)/1019146 weeks
83,331.338 5,737.88 (8*2π)/1019127 weeks
9226.2962 7,429.664 (9*2π)/1019113 weeks
10-4,882.1 4,407.382 (10*2π)/1019102 weeks
11-4,309.188 -182.123 (11*2π)/101993 weeks
12-2,166.047 -2,928.147 (12*2π)/101985 weeks
132,010.24 -2,756.627 (13*2π)/101978 weeks
143,033.163 -34.82196 (14*2π)/101973 weeks
152,929.039 2,024.837 (15*2π)/101968 weeks
16575.4919 3,483.696 (16*2π)/101964 weeks
17-1,046.981 2,371.401 (17*2π)/101960 weeks
18-1,762.944 1,226.636 (18*2π)/101957 weeks
19-1,413.938 -206.144 (19*2π)/101954 weeks
20-714.0916 -891.98 (20*2π)/101951 weeks
21638.5259 -1,264.133 (21*2π)/101949 weeks
221,406.202 -344.9474 (22*2π)/101946 weeks
231,849.461 178.887 (23*2π)/101944 weeks
241,803.943 1,598.149 (24*2π)/101942 weeks
25745.1159 2,264.125 (25*2π)/101941 weeks
26-643.6683 2,408.745 (26*2π)/101939 weeks
27-1,754.791 1,073.212 (27*2π)/101938 weeks
28-1,724.455 -382.8101 (28*2π)/101936 weeks
29-238.5198 -2,131.937 (29*2π)/101935 weeks
302,299.063 -1,051.527 (30*2π)/101934 weeks
312,582.412 829.4913 (31*2π)/101933 weeks
321,931.787 2,931.963 (32*2π)/101932 weeks
33-826.8284 3,322.205 (33*2π)/101931 weeks
34-2,098.162 1,842.785 (34*2π)/101930 weeks
35-2,681.043 -62.22935 (35*2π)/101929 weeks
36-1,061.764 -1,878.118 (36*2π)/101928 weeks
37741.0886 -1,685.605 (37*2π)/101928 weeks
382,220.701 -610.8315 (38*2π)/101927 weeks
392,163.977 1,530.603 (39*2π)/101926 weeks
40721.8631 2,641.453 (40*2π)/101925 weeks
41-1,175.95 2,554.888 (41*2π)/101925 weeks
42-2,315.372 939.6556 (42*2π)/101924 weeks
43-1,942.288 -852.9783 (43*2π)/101924 weeks
44-295.3106 -1,820.107 (44*2π)/101923 weeks
451,313.938 -1,118.482 (45*2π)/101923 weeks
461,977.726 325.9583 (46*2π)/101922 weeks
471,217.461 1,939.349 (47*2π)/101922 weeks
48-315.2952 2,235.464 (48*2π)/101921 weeks
49-1,678.444 1,546.978 (49*2π)/101921 weeks
50-1,921.827 -122.7348 (50*2π)/101920 weeks
51-1,065.861 -982.7366 (51*2π)/101920 weeks
52-21.58836 -1,441.097 (52*2π)/101920 weeks
531,259.321 -747.821 (53*2π)/101919 weeks
541,428.3 462.3883 (54*2π)/101919 weeks
55876.153 1,584.309 (55*2π)/101919 weeks
56-588.0386 1,841.077 (56*2π)/101918 weeks
57-1,594.638 974.1874 (57*2π)/101918 weeks
58-1,851.387 -440.574 (58*2π)/101918 weeks
59-719.8804 -1,655.288 (59*2π)/101917 weeks
60816.3903 -1,458.372 (60*2π)/101917 weeks
611,687.483 -282.202 (61*2π)/101917 weeks
621,290.601 1,119.983 (62*2π)/101916 weeks
63162.3471 1,648.213 (63*2π)/101916 weeks
64-1,062.509 1,227.566 (64*2π)/101916 weeks
65-1,364.593 10.57377 (65*2π)/101916 weeks
66-823.6583 -874.0571 (66*2π)/101915 weeks
67250.1512 -1,123.244 (67*2π)/101915 weeks
68970.0341 -481.2865 (68*2π)/101915 weeks
691,179.593 314.3153 (69*2π)/101915 weeks
70600.381 1,192.499 (70*2π)/101915 weeks
71-277.3907 1,104.747 (71*2π)/101914 weeks
72-841.6426 728.5705 (72*2π)/101914 weeks
73-981.8696 -194.9644 (73*2π)/101914 weeks
74-349.2813 -650.0025 (74*2π)/101914 weeks
75257.4158 -733.1066 (75*2π)/101914 weeks
76886.1046 -200.4836 (76*2π)/101913 weeks
77777.8538 476.7865 (77*2π)/101913 weeks
78399.1271 970.1812 (78*2π)/101913 weeks
79-388.1609 956.2846 (79*2π)/101913 weeks
80-720.4231 460.4981 (80*2π)/101913 weeks
81-797.9277 -142.5901 (81*2π)/101913 weeks
82-219.8407 -607.8156 (82*2π)/101912 weeks
83326.1578 -432.4316 (83*2π)/101912 weeks
84672.9823 -13.1001 (84*2π)/101912 weeks
85513.7268 622.3172 (85*2π)/101912 weeks
8613.26461 827.662 (86*2π)/101912 weeks
87-535.7592 728.1717 (87*2π)/101912 weeks
88-779.7631 191.2589 (88*2π)/101912 weeks
89-733.5764 -232.023 (89*2π)/101911 weeks
90-299.8685 -722.095 (90*2π)/101911 weeks
91293.7863 -543.7821 (91*2π)/101911 weeks
92612.7176 -245.5301 (92*2π)/101911 weeks
93648.6847 463.4868 (93*2π)/101911 weeks
9459.47121 757.1401 (94*2π)/101911 weeks
95-552.1556 707.1599 (95*2π)/101911 weeks
96-948.935 -98.16463 (96*2π)/101911 weeks
97-468.896 -612.3998 (97*2π)/101911 weeks
98-31.51947 -850.4241 (98*2π)/101910 weeks
99710.3361 -617.4892 (99*2π)/101910 weeks
100831.1984 38.89443 (100*2π)/101910 weeks
101680.0823 535.9785 (101*2π)/101910 weeks
10270.68922 881.1299 (102*2π)/101910 weeks
103-521.2058 607.3148 (103*2π)/101910 weeks
104-852.2556 -8.33038 (104*2π)/101910 weeks
105-414.5822 -774.1589 (105*2π)/101910 weeks
106368.2879 -774.5472 (106*2π)/101910 weeks
107904.0838 -286.2917 (107*2π)/101910 weeks
108845.1473 514.5268 (108*2π)/10199 weeks
109234.5103 906.7035 (109*2π)/10199 weeks
110-471.2899 741.9564 (110*2π)/10199 weeks
111-700.1276 118.2798 (111*2π)/10199 weeks
112-566.0729 -367.9746 (112*2π)/10199 weeks
113-10.0252 -748.7286 (113*2π)/10199 weeks
114589.5535 -437.8949 (114*2π)/10199 weeks
115763.9244 94.72713 (115*2π)/10199 weeks
116461.6182 676.0211 (116*2π)/10199 weeks
117-183.906 687.712 (117*2π)/10199 weeks
118-525.7947 330.5516 (118*2π)/10199 weeks
119-571.6024 -217.1929 (119*2π)/10199 weeks
120-113.4473 -546.4006 (120*2π)/10198 weeks
121307.5029 -447.6088 (121*2π)/10198 weeks
122577.5908 -102.4809 (122*2π)/10198 weeks
123456.2865 297.3695 (123*2π)/10198 weeks
124157.9479 467.9684 (124*2π)/10198 weeks
125-177.4954 355.4635 (125*2π)/10198 weeks
126-255.3789 96.69837 (126*2π)/10198 weeks
127-197.5444 -128.4954 (127*2π)/10198 weeks
12817.30862 -184.3989 (128*2π)/10198 weeks
12952.31305 -196.2265 (129*2π)/10198 weeks
130316.5347 -236.4637 (130*2π)/10198 weeks
131471.9254 46.67092 (131*2π)/10198 weeks
132423.2002 359.1599 (132*2π)/10198 weeks
13318.86395 583.1235 (133*2π)/10198 weeks
134-323.5536 309.3586 (134*2π)/10198 weeks
135-391.6934 -.375 (135*2π)/10198 weeks
136-180.5137 -370.2164 (136*2π)/10197 weeks
137214.8264 -322.1669 (137*2π)/10197 weeks
138380.5246 -136.9209 (138*2π)/10197 weeks
139443.0273 148.6428 (139*2π)/10197 weeks
140278.9575 366.7725 (140*2π)/10197 weeks
1411.00212 513.8827 (141*2π)/10197 weeks
142-388.1175 293.0241 (142*2π)/10197 weeks
143-409.6649 -84.92475 (143*2π)/10197 weeks
144-229.9708 -449.3272 (144*2π)/10197 weeks
145301.4164 -504.0386 (145*2π)/10197 weeks
146567.3809 -148.6901 (146*2π)/10197 weeks
147574.9786 268.9234 (147*2π)/10197 weeks
148179.9321 541.3867 (148*2π)/10197 weeks
149-168.213 422.1673 (149*2π)/10197 weeks
150-416.5686 86.23333 (150*2π)/10197 weeks
151-178.0725 -325.773 (151*2π)/10197 weeks
152111.7084 -367.01 (152*2π)/10197 weeks
153505.405 -284.1318 (153*2π)/10197 weeks
154568.1047 180.8421 (154*2π)/10197 weeks
155425.6364 399.122 (155*2π)/10197 weeks
15657.05177 636.7547 (156*2π)/10197 weeks
157-281.1893 331.2618 (157*2π)/10196 weeks
158-318.459 122.254 (158*2π)/10196 weeks
159-238.4924 -247.3918 (159*2π)/10196 weeks
160138.7414 -273.8599 (160*2π)/10196 weeks
161332.3333 -156.7422 (161*2π)/10196 weeks
162476.1608 167.894 (162*2π)/10196 weeks
163233.4542 431.5989 (163*2π)/10196 weeks
164-23.74921 491.5892 (164*2π)/10196 weeks
165-391.364 317.5889 (165*2π)/10196 weeks
166-388.2934 -115.7296 (166*2π)/10196 weeks
167-141.5308 -362.799 (167*2π)/10196 weeks
168280.3982 -363.9885 (168*2π)/10196 weeks
169464.3551 -16.94205 (169*2π)/10196 weeks
170387.8622 284.9508 (170*2π)/10196 weeks
17170.9205 431.8588 (171*2π)/10196 weeks
172-124.3726 287.3425 (172*2π)/10196 weeks
173-251.7713 146.2565 (173*2π)/10196 weeks
174-203.8786 -115.9519 (174*2π)/10196 weeks
175-58.1265 -204.6608 (175*2π)/10196 weeks
176162.0234 -294.0751 (176*2π)/10196 weeks
177401.4374 -101.4963 (177*2π)/10196 weeks
178451.1614 151.3931 (178*2π)/10196 weeks
179288.1206 479.9543 (179*2π)/10196 weeks
180-132.6112 488.3687 (180*2π)/10196 weeks
181-360.6941 234.6779 (181*2π)/10196 weeks
182-396.8495 -163.8083 (182*2π)/10196 weeks
183-42.52925 -432.168 (183*2π)/10196 weeks
184336.8083 -368.3238 (184*2π)/10196 weeks
185613.4021 -38.11295 (185*2π)/10196 weeks
186536.6922 418.8904 (186*2π)/10195 weeks
187126.2325 711.5946 (187*2π)/10195 weeks
188-425.66 537.0145 (188*2π)/10195 weeks
189-605.6741 4.54556 (189*2π)/10195 weeks
190-327.4865 -507.0321 (190*2π)/10195 weeks
191291.0216 -570.2781 (191*2π)/10195 weeks
192664.9886 -145.1751 (192*2π)/10195 weeks
193594.6966 395.7597 (193*2π)/10195 weeks
194136.9045 624.1887 (194*2π)/10195 weeks
195-217.4635 490.7611 (195*2π)/10195 weeks
196-448.7152 177.8507 (196*2π)/10195 weeks
197-316.0346 -220.5769 (197*2π)/10195 weeks
198-5.46931 -347.6781 (198*2π)/10195 weeks
199335.3994 -264.7508 (199*2π)/10195 weeks
200466.7214 108.2673 (200*2π)/10195 weeks
201290.4712 366.7092 (201*2π)/10195 weeks
202-5.84627 491.1602 (202*2π)/10195 weeks
203-325.5856 266.2791 (203*2π)/10195 weeks
204-296.0928 -47.55333 (204*2π)/10195 weeks
205-120.7891 -248.6756 (205*2π)/10195 weeks
206180.3893 -240.3118 (206*2π)/10195 weeks
207335.2937 -45.85826 (207*2π)/10195 weeks
208349.2854 229.6917 (208*2π)/10195 weeks
20986.17815 420.6587 (209*2π)/10195 weeks
210-191.6135 312.4158 (210*2π)/10195 weeks
211-274.4837 61.31817 (211*2π)/10195 weeks
212-162.9632 -131.3066 (212*2π)/10195 weeks
21339.19755 -218.7405 (213*2π)/10195 weeks
214253.252 -60.70026 (214*2π)/10195 weeks
215195.772 117.9758 (215*2π)/10195 weeks
216146.85 214.82 (216*2π)/10195 weeks
217-52.93633 265.0423 (217*2π)/10195 weeks
218-145.4994 127.7799 (218*2π)/10195 weeks
219-180.0893 -.91775 (219*2π)/10195 weeks
220-46.81288 -131.7109 (220*2π)/10195 weeks
22145.05059 -94.70764 (221*2π)/10195 weeks
222152.7348 -77.34175 (222*2π)/10195 weeks
223168.9866 92.5124 (223*2π)/10195 weeks
22466.64282 128.0038 (224*2π)/10195 weeks
225-18.60797 139.0352 (225*2π)/10195 weeks
226-84.1803 19.10612 (226*2π)/10195 weeks
227-19.771 -45.67813 (227*2π)/10194 weeks
22848.07535 -96.63004 (228*2π)/10194 weeks
229155.1523 -10.43664 (229*2π)/10194 weeks
23094.32959 38.1867 (230*2π)/10194 weeks
231109.9486 51.79184 (231*2π)/10194 weeks
23275.45959 49.58424 (232*2π)/10194 weeks
233105.6611 72.08496 (233*2π)/10194 weeks
23458.75838 65.46566 (234*2π)/10194 weeks
235120.8576 85.62613 (235*2π)/10194 weeks
23628.64191 146.6715 (236*2π)/10194 weeks
237-7.46068 76.79434 (237*2π)/10194 weeks
238-6.31243 8.31694 (238*2π)/10194 weeks
239119.1606 -18.27814 (239*2π)/10194 weeks
240156.1763 101.3779 (240*2π)/10194 weeks
241125.0055 184.5792 (241*2π)/10194 weeks
242-20.63046 254.1436 (242*2π)/10194 weeks
243-114.8111 113.9298 (243*2π)/10194 weeks
244-72.7794 66.0919 (244*2π)/10194 weeks
245-76.28122 9.86502 (245*2π)/10194 weeks
246-12.44394 -14.97027 (246*2π)/10194 weeks
24727.61579 -19.05058 (247*2π)/10194 weeks
24884.83371 36.87735 (248*2π)/10194 weeks
24960.52796 108.299 (249*2π)/10194 weeks
250-21.58525 164.4301 (250*2π)/10194 weeks
251-150.6467 97.9983 (251*2π)/10194 weeks
252-159.728 -58.29129 (252*2π)/10194 weeks
253-29.36477 -159.8195 (253*2π)/10194 weeks
25496.56303 -97.41676 (254*2π)/10194 weeks
255139.8182 -25.69858 (255*2π)/10194 weeks
256116.5965 112.1461 (256*2π)/10194 weeks
257-31.37962 107.8191 (257*2π)/10194 weeks
258-68.915 37.43963 (258*2π)/10194 weeks
259-92.90948 -75.78259 (259*2π)/10194 weeks
26039.28445 -139.184 (260*2π)/10194 weeks
261106.3868 -123.4945 (261*2π)/10194 weeks
262242.8418 -33.6613 (262*2π)/10194 weeks
263156.7363 137.4878 (263*2π)/10194 weeks
26459.08823 139.7593 (264*2π)/10194 weeks
265-73.80589 105.612 (265*2π)/10194 weeks
266-44.35896 -87.07301 (266*2π)/10194 weeks
26792.41294 -86.36723 (267*2π)/10194 weeks
268193.4269 -34.56204 (268*2π)/10194 weeks
269172.3425 147.9862 (269*2π)/10194 weeks
27031.68055 131.7015 (270*2π)/10194 weeks
271-2.75119 107.5128 (271*2π)/10194 weeks
272-31.90476 2.7301 (272*2π)/10194 weeks
27371.56595 3.87131 (273*2π)/10194 weeks
27452.73168 37.48866 (274*2π)/10194 weeks
27569.11938 47.47996 (275*2π)/10194 weeks
27645.25994 53.79379 (276*2π)/10194 weeks
27758.87417 71.97753 (277*2π)/10194 weeks
2786.95875 64.23054 (278*2π)/10194 weeks
27932.65948 50.05552 (279*2π)/10194 weeks
280.4701 44.37809 (280*2π)/10194 weeks
28138.18522 30.6727 (281*2π)/10194 weeks
2821.01738 51.30457 (282*2π)/10194 weeks
28317.49627 9.83908 (283*2π)/10194 weeks
28412.95125 16.03199 (284*2π)/10194 weeks
28556.68969 -15.03443 (285*2π)/10194 weeks
28673.76283 48.65499 (286*2π)/10194 weeks
28744.45767 55.41317 (287*2π)/10194 weeks
28815.56052 72.50263 (288*2π)/10194 weeks
289-11.413 24.08099 (289*2π)/10194 weeks
2905.30146 2.7903 (290*2π)/10194 weeks
29149.27592 -28.32195 (291*2π)/10194 weeks
29285.58647 35.29171 (292*2π)/10193 weeks
29352.26352 52.86136 (293*2π)/10193 weeks
29428.62878 69.85783 (294*2π)/10193 weeks
29513.99896 32.96513 (295*2π)/10193 weeks
29610.766 60.12473 (296*2π)/10193 weeks
297-11.22629 1.24378 (297*2π)/10193 weeks
29830.65311 29.447 (298*2π)/10193 weeks
299-21.96534 1.08703 (299*2π)/10193 weeks
30030.95527 -28.67839 (300*2π)/10193 weeks
30146.32466 -35.35362 (301*2π)/10193 weeks
302111.0155 6.44218 (302*2π)/10193 weeks
30366.84537 50.31989 (303*2π)/10193 weeks
30475.66173 80.77038 (304*2π)/10193 weeks
305-39.30527 97.82832 (305*2π)/10193 weeks
306-45.29498 -12.79249 (306*2π)/10193 weeks
307-19.38428 -51.11084 (307*2π)/10193 weeks
30873.344 -104.5553 (308*2π)/10193 weeks
309158.0667 -24.10628 (309*2π)/10193 weeks
310175.3129 73.39331 (310*2π)/10193 weeks
31181.65065 191.2689 (311*2π)/10193 weeks
312-63.46572 159.4423 (312*2π)/10193 weeks
313-160.385 61.18307 (313*2π)/10193 weeks
314-137.5911 -146.4962 (314*2π)/10193 weeks
31560.26961 -220.0494 (315*2π)/10193 weeks
316242.5282 -134.9043 (316*2π)/10193 weeks
317282.5619 87.35086 (317*2π)/10193 weeks
318155.6553 215.1932 (318*2π)/10193 weeks
319-26.09195 275.7368 (319*2π)/10193 weeks
320-219.3966 80.13541 (320*2π)/10193 weeks
321-113.6108 -92.48243 (321*2π)/10193 weeks
322-43.42759 -177.62 (322*2π)/10193 weeks
323177.5222 -188.6864 (323*2π)/10193 weeks
324255.5129 -21.80301 (324*2π)/10193 weeks
325271.4181 139.713 (325*2π)/10193 weeks
32685.16382 293.1098 (326*2π)/10193 weeks
327-93.42672 236.4864 (327*2π)/10193 weeks
328-248.312 88.68797 (328*2π)/10193 weeks
329-167.0107 -175.644 (329*2π)/10193 weeks
33034.65982 -228.6278 (330*2π)/10193 weeks
331252.9483 -162.6531 (331*2π)/10193 weeks
332294.6059 117.2643 (332*2π)/10193 weeks
333127.0755 247.7697 (333*2π)/10193 weeks
334-87.32728 271.974 (334*2π)/10193 weeks
335-240.4401 53.83873 (335*2π)/10193 weeks
336-162.1439 -132.9471 (336*2π)/10193 weeks
33716.5234 -247.1746 (337*2π)/10193 weeks
338217.5008 -126.577 (338*2π)/10193 weeks
339234.8612 47.68452 (339*2π)/10193 weeks
340106.1749 204.937 (340*2π)/10193 weeks
341-85.23266 116.7739 (341*2π)/10193 weeks
342-73.90456 .81629 (342*2π)/10193 weeks
343-48.89252 -100.8692 (343*2π)/10193 weeks
344112.9834 -107.7958 (344*2π)/10193 weeks
345129.3524 4.17784 (345*2π)/10193 weeks
346103.6742 52.85383 (346*2π)/10193 weeks
34731.50634 59.93941 (347*2π)/10193 weeks
34837.91798 16.0959 (348*2π)/10193 weeks
34921.66166 13.41531 (349*2π)/10193 weeks
35076.41206 -29.85264 (350*2π)/10193 weeks
35195.29649 57.56511 (351*2π)/10193 weeks
35241.13504 56.60464 (352*2π)/10193 weeks
35315.84456 63.18676 (353*2π)/10193 weeks
354-22.56604 5.04642 (354*2π)/10193 weeks
35521.41271 -51.33488 (355*2π)/10193 weeks
356111.7245 -46.15316 (356*2π)/10193 weeks
357134.3752 54.48114 (357*2π)/10193 weeks
35885.48172 108.5386 (358*2π)/10193 weeks
359-9.2685 142.6759 (359*2π)/10193 weeks
360-99.35452 41.88815 (360*2π)/10193 weeks
361-69.64156 -61.52902 (361*2π)/10193 weeks
36233.22055 -141.6102 (362*2π)/10193 weeks
363166.1411 -64.38403 (363*2π)/10193 weeks
364177.2847 41.43265 (364*2π)/10193 weeks
365128.7971 170.0862 (365*2π)/10193 weeks
366-52.28679 167.0867 (366*2π)/10193 weeks
367-91.38914 65.93127 (367*2π)/10193 weeks
368-137.6266 -35.27698 (368*2π)/10193 weeks
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