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Fourier Analysis of ABIO (ARCA biopharma, Inc.)


ABIO (ARCA biopharma, Inc.) appears to have interesting cyclic behaviour every 101 weeks (5005.26*cosine), 92 weeks (4240.326*cosine), and 72 weeks (3045.773*cosine).

ABIO (ARCA biopharma, Inc.) has an average price of 11,194.31 (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 1/9/2017 for ABIO (ARCA biopharma, Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
011,194.31   0 
18,682.909 14,458.61 (1*2π)/10141,014 weeks
2-351.3449 11,142.94 (2*2π)/1014507 weeks
3-8,171.433 6,238.064 (3*2π)/1014338 weeks
4-5,489.022 -4,831.973 (4*2π)/1014254 weeks
51,794.287 -5,624.254 (5*2π)/1014203 weeks
67,204.868 -2,944.929 (6*2π)/1014169 weeks
77,082.619 4,144.242 (7*2π)/1014145 weeks
83,269.006 5,793.616 (8*2π)/1014127 weeks
9-26.23165 7,500.145 (9*2π)/1014113 weeks
10-5,005.26 4,139.316 (10*2π)/1014101 weeks
11-4,240.326 -340.9567 (11*2π)/101492 weeks
12-1,960.789 -3,076.804 (12*2π)/101485 weeks
132,212.623 -2,587.441 (13*2π)/101478 weeks
143,045.773 91.96396 (14*2π)/101472 weeks
152,863.407 2,226.656 (15*2π)/101468 weeks
16364.1921 3,462.028 (16*2π)/101463 weeks
17-1,114.328 2,295.368 (17*2π)/101460 weeks
18-1,805.495 1,090.632 (18*2π)/101456 weeks
19-1,342.491 -286.1285 (19*2π)/101453 weeks
20-634.5509 -975.5487 (20*2π)/101451 weeks
21798.926 -1,206.292 (21*2π)/101448 weeks
221,425.413 -280.7518 (22*2π)/101446 weeks
231,935.991 302.0035 (23*2π)/101444 weeks
241,694.585 1,744.333 (24*2π)/101442 weeks
25620.6517 2,325.193 (25*2π)/101441 weeks
26-866.4351 2,332.595 (26*2π)/101439 weeks
27-1,786.707 869.5589 (27*2π)/101438 weeks
28-1,685.074 -630.7124 (28*2π)/101436 weeks
29192.1537 -2,222.707 (29*2π)/101435 weeks
302,453.619 -716.5066 (30*2π)/101434 weeks
312,603.305 1,091.173 (31*2π)/101433 weeks
321,575.117 3,249.386 (32*2π)/101432 weeks
33-1,173.468 3,102.484 (33*2π)/101431 weeks
34-2,251.933 1,622.696 (34*2π)/101430 weeks
35-2,591.184 -501.6956 (35*2π)/101429 weeks
36-673.9165 -1,947.756 (36*2π)/101428 weeks
371,017.721 -1,593.707 (37*2π)/101427 weeks
382,406.261 -225.3087 (38*2π)/101427 weeks
391,938.901 1,850.081 (39*2π)/101426 weeks
40381.6762 2,756.265 (40*2π)/101425 weeks
41-1,537.871 2,331.343 (41*2π)/101425 weeks
42-2,359.989 549.5494 (42*2π)/101424 weeks
43-1,698.013 -1,179.14 (43*2π)/101424 weeks
44130.366 -1,799.816 (44*2π)/101423 weeks
451,541.044 -849.573 (45*2π)/101423 weeks
461,974.023 738.8558 (46*2π)/101422 weeks
47856.7675 2,141.504 (47*2π)/101422 weeks
48-649.3893 2,178.806 (48*2π)/101421 weeks
49-1,922.061 1,186.213 (49*2π)/101421 weeks
50-1,733.413 -442.4067 (50*2π)/101420 weeks
51-868.9746 -1,123.938 (51*2π)/101420 weeks
52362.6269 -1,419.87 (52*2π)/101420 weeks
531,405.993 -410.2717 (53*2π)/101419 weeks
541,375.954 759.869 (54*2π)/101419 weeks
55526.5459 1,817.574 (55*2π)/101418 weeks
56-947.4648 1,669.836 (56*2π)/101418 weeks
57-1,773.13 640.6304 (57*2π)/101418 weeks
58-1,679.575 -895.6319 (58*2π)/101417 weeks
59-239.5464 -1,747.647 (59*2π)/101417 weeks
601,170.36 -1,198.826 (60*2π)/101417 weeks
611,726.594 184.9859 (61*2π)/101417 weeks
62972.9986 1,383.122 (62*2π)/101416 weeks
63-230.9967 1,653.597 (63*2π)/101416 weeks
64-1,308.993 862.3968 (64*2π)/101416 weeks
65-1,252.681 -317.2591 (65*2π)/101416 weeks
66-521.1636 -1,071.761 (66*2π)/101415 weeks
67581.6378 -968.2739 (67*2π)/101415 weeks
681,076.475 -239.6659 (68*2π)/101415 weeks
691,118.819 665.1154 (69*2π)/101415 weeks
70238.748 1,267.329 (70*2π)/101414 weeks
71-468.1352 1,001.963 (71*2π)/101414 weeks
72-1,019.709 451.3328 (72*2π)/101414 weeks
73-773.4386 -462.4136 (73*2π)/101414 weeks
74-152.5004 -698.0778 (74*2π)/101414 weeks
75550.3507 -639.6938 (75*2π)/101414 weeks
76912.3808 102.8265 (76*2π)/101413 weeks
77682.1221 663.8562 (77*2π)/101413 weeks
78102.6413 1,084.987 (78*2π)/101413 weeks
79-580.0585 760.1273 (79*2π)/101413 weeks
80-797.1633 266.8224 (80*2π)/101413 weeks
81-639.9577 -417.0398 (81*2π)/101413 weeks
8244.9052 -579.0911 (82*2π)/101412 weeks
83488.1176 -305.0275 (83*2π)/101412 weeks
84701.057 268.6554 (84*2π)/101412 weeks
85299.7068 762.3889 (85*2π)/101412 weeks
86-203.369 843.03 (86*2π)/101412 weeks
87-725.2662 515.451 (87*2π)/101412 weeks
88-759.3622 9.94944 (88*2π)/101412 weeks
89-639.8864 -483.825 (89*2π)/101411 weeks
9026.00296 -718.6945 (90*2π)/101411 weeks
91422.5218 -420.7234 (91*2π)/101411 weeks
92745.4866 36.4216 (92*2π)/101411 weeks
93380.6116 692.6844 (93*2π)/101411 weeks
94-183.4816 776.2158 (94*2π)/101411 weeks
95-875.5936 420.4611 (95*2π)/101411 weeks
96-745.5162 -453.1875 (96*2π)/101411 weeks
97-293.6033 -713.658 (97*2π)/101410 weeks
98344.7879 -864.4755 (98*2π)/101410 weeks
99856.6429 -267.9346 (99*2π)/101410 weeks
100782.2716 271.2419 (100*2π)/101410 weeks
101439.3887 789.1621 (101*2π)/101410 weeks
102-272.7949 793.0947 (102*2π)/101410 weeks
103-734.1584 358.7829 (103*2π)/101410 weeks
104-752.1945 -465.4933 (104*2π)/101410 weeks
10519.56915 -863.6502 (105*2π)/101410 weeks
106685.9418 -580.9452 (106*2π)/101410 weeks
107983.8032 145.6421 (107*2π)/10149 weeks
108547.4956 794.4396 (108*2π)/10149 weeks
109-155.3574 907.9214 (109*2π)/10149 weeks
110-686.5199 404.1922 (110*2π)/10149 weeks
111-646.2916 -147.4237 (111*2π)/10149 weeks
112-332.6889 -646.1845 (112*2π)/10149 weeks
113387.7065 -643.1447 (113*2π)/10149 weeks
114727.5655 -152.6222 (114*2π)/10149 weeks
115678.8868 453.7495 (115*2π)/10149 weeks
11671.43131 773.0984 (116*2π)/10149 weeks
117-411.6146 497.0396 (117*2π)/10149 weeks
118-619.6483 32.88892 (118*2π)/10149 weeks
119-333.4705 -483.3556 (119*2π)/10149 weeks
120155.1001 -515.2936 (120*2π)/10148 weeks
121505.4675 -278.9146 (121*2π)/10148 weeks
122547.6414 167.6322 (122*2π)/10148 weeks
123289.3475 425.228 (123*2π)/10148 weeks
124-66.04318 443.4854 (124*2π)/10148 weeks
125-252.0099 186.2619 (125*2π)/10148 weeks
126-242.4223 -40.29765 (126*2π)/10148 weeks
127-54.41181 -204.5907 (127*2π)/10148 weeks
12841.11135 -158.0053 (128*2π)/10148 weeks
129195.402 -268.9088 (129*2π)/10148 weeks
130455.6849 -62.50768 (130*2π)/10148 weeks
131464.1933 237.0437 (131*2π)/10148 weeks
132202.2192 563.4944 (132*2π)/10148 weeks
133-258.7825 430.7298 (133*2π)/10148 weeks
134-378.0475 111.7142 (134*2π)/10148 weeks
135-308.8901 -269.8651 (135*2π)/10148 weeks
136115.1663 -384.1113 (136*2π)/10147 weeks
137333.771 -196.7137 (137*2π)/10147 weeks
138455.715 45.57989 (138*2π)/10147 weeks
139337.7669 317.0636 (139*2π)/10147 weeks
140118.7624 483.746 (140*2π)/10147 weeks
141-303.0761 413.1974 (141*2π)/10147 weeks
142-427.6983 13.89805 (142*2π)/10147 weeks
143-325.2294 -339.8173 (143*2π)/10147 weeks
144147.3475 -559.649 (144*2π)/10147 weeks
145529.5272 -254.2962 (145*2π)/10147 weeks
146609.4668 139.7371 (146*2π)/10147 weeks
147312.9257 522.1893 (147*2π)/10147 weeks
148-90.61823 467.522 (148*2π)/10147 weeks
149-378.889 215.6557 (149*2π)/10147 weeks
150-283.0029 -266.4041 (150*2π)/10147 weeks
15151.82127 -357.0425 (151*2π)/10147 weeks
152397.7198 -358.8477 (152*2π)/10147 weeks
153612.8329 85.48783 (153*2π)/10147 weeks
154450.9558 342.4605 (154*2π)/10147 weeks
155188.8265 624.0251 (155*2π)/10147 weeks
156-260.7017 419.9122 (156*2π)/10147 weeks
157-296.1054 168.3739 (157*2π)/10146 weeks
158-307.6916 -167.9414 (158*2π)/10146 weeks
15978.65749 -305.2997 (159*2π)/10146 weeks
160286.5524 -183.7427 (160*2π)/10146 weeks
161482.041 80.69033 (161*2π)/10146 weeks
162293.1162 410.5945 (162*2π)/10146 weeks
16334.66584 483.6704 (163*2π)/10146 weeks
164-333.9822 392.0783 (164*2π)/10146 weeks
165-423.2186 -49.19627 (165*2π)/10146 weeks
166-198.1995 -327.1765 (166*2π)/10146 weeks
167206.5925 -402.1327 (167*2π)/10146 weeks
168462.9802 -76.44164 (168*2π)/10146 weeks
169416.3069 236.3742 (169*2π)/10146 weeks
170129.5055 439.2958 (170*2π)/10146 weeks
171-109.5422 309.0122 (171*2π)/10146 weeks
172-233.2856 180.8138 (172*2π)/10146 weeks
173-230.6605 -87.52361 (173*2π)/10146 weeks
174-73.46392 -193.2014 (174*2π)/10146 weeks
175118.3982 -295.9011 (175*2π)/10146 weeks
176387.6167 -136.8062 (176*2π)/10146 weeks
177451.0874 115.7889 (177*2π)/10146 weeks
178332.5199 448.2553 (178*2π)/10146 weeks
179-90.71126 512.8926 (179*2π)/10146 weeks
180-343.3742 268.4275 (180*2π)/10146 weeks
181-415.1022 -116.1296 (181*2π)/10146 weeks
182-85.97173 -426.1026 (182*2π)/10146 weeks
183303.2071 -386.1827 (183*2π)/10146 weeks
184603.1081 -80.50393 (184*2π)/10146 weeks
185560.4244 384.5822 (185*2π)/10145 weeks
186172.7648 703.6473 (186*2π)/10145 weeks
187-393.6361 572.921 (187*2π)/10145 weeks
188-610.6561 45.85775 (188*2π)/10145 weeks
189-363.9521 -482.739 (189*2π)/10145 weeks
190255.3996 -588.0485 (190*2π)/10145 weeks
191657.8643 -176.6418 (191*2π)/10145 weeks
192614.3081 371.8747 (192*2π)/10145 weeks
193160.2541 628.0874 (193*2π)/10145 weeks
194-205.8936 501.4744 (194*2π)/10145 weeks
195-447.0212 195.6437 (195*2π)/10145 weeks
196-327.5319 -212.5951 (196*2π)/10145 weeks
197-14.44992 -348.2866 (197*2π)/10145 weeks
198329.2836 -272.0398 (198*2π)/10145 weeks
199470.6148 101.7071 (199*2π)/10145 weeks
200294.8212 366.0131 (200*2π)/10145 weeks
201-2.34813 493.619 (201*2π)/10145 weeks
202-326.6437 269.0622 (202*2π)/10145 weeks
203-297.4366 -48.01811 (203*2π)/10145 weeks
204-119.7838 -250.7861 (204*2π)/10145 weeks
205183.9689 -239.7637 (205*2π)/10145 weeks
206338.4965 -42.6358 (206*2π)/10145 weeks
207348.3036 237.1724 (207*2π)/10145 weeks
20878.0503 423.3885 (208*2π)/10145 weeks
209-198.4393 307.42 (209*2π)/10145 weeks
210-274.4289 52.5774 (210*2π)/10145 weeks
211-157.533 -137.2654 (211*2π)/10145 weeks
21251.65384 -219.6133 (212*2π)/10145 weeks
213257.3657 -47.5467 (213*2π)/10145 weeks
214192.6093 122.3429 (214*2π)/10145 weeks
215141.0264 224.7924 (215*2π)/10145 weeks
216-66.37702 259.1126 (216*2π)/10145 weeks
217-148.104 121.376 (217*2π)/10145 weeks
218-179.1267 -15.54013 (218*2π)/10145 weeks
219-33.12218 -131.7472 (219*2π)/10145 weeks
22049.25615 -95.56226 (220*2π)/10145 weeks
221165.4795 -66.55265 (221*2π)/10145 weeks
222158.5908 104.2687 (222*2π)/10145 weeks
22361.58038 129.197 (223*2π)/10145 weeks
224-32.50687 134.5484 (224*2π)/10145 weeks
225-79.17648 5.04891 (225*2π)/10145 weeks
226-15.54783 -49.43428 (226*2π)/10144 weeks
22765.50614 -98.94361 (227*2π)/10144 weeks
228153.0366 7.11926 (228*2π)/10144 weeks
22993.70337 33.94675 (229*2π)/10144 weeks
230106.6736 58.96753 (230*2π)/10144 weeks
23179.28222 44.69386 (231*2π)/10144 weeks
232100.9766 81.40308 (232*2π)/10144 weeks
23363.342 56.21984 (233*2π)/10144 weeks
234120.118 105.4583 (234*2π)/10144 weeks
23512.80586 136.9778 (235*2π)/10144 weeks
236-8.20097 70.26275 (236*2π)/10144 weeks
2375.56847 -8.43295 (237*2π)/10144 weeks
238140.0415 -.33002 (238*2π)/10144 weeks
239150.7722 117.1578 (239*2π)/10144 weeks
240113.2682 206.5689 (240*2π)/10144 weeks
241-57.44769 240.8333 (241*2π)/10144 weeks
242-105.4643 91.99622 (242*2π)/10144 weeks
243-76.14045 62.7612 (243*2π)/10144 weeks
244-65.01503 -4.03709 (244*2π)/10144 weeks
245-5.26261 -13.09198 (245*2π)/10144 weeks
24643.62795 -16.61017 (246*2π)/10144 weeks
24784.6142 56.18296 (247*2π)/10144 weeks
24850.74686 123.0418 (248*2π)/10144 weeks
249-54.05758 165.1454 (249*2π)/10144 weeks
250-166.9711 64.02911 (250*2π)/10144 weeks
251-141.0772 -93.36119 (251*2π)/10144 weeks
25212.53295 -158.6903 (252*2π)/10144 weeks
253107.3575 -77.47028 (253*2π)/10144 weeks
254152.1463 2.53329 (254*2π)/10144 weeks
25577.08832 135.2581 (255*2π)/10144 weeks
256-48.21163 83.62737 (256*2π)/10144 weeks
257-82.71562 20.56146 (257*2π)/10144 weeks
258-67.03281 -115.3674 (258*2π)/10144 weeks
25963.99134 -127.0892 (259*2π)/10144 weeks
260142.9512 -125.0283 (260*2π)/10144 weeks
261248.1673 32.07264 (261*2π)/10144 weeks
262115.9982 143.0881 (262*2π)/10144 weeks
26331.45371 147.2736 (263*2π)/10144 weeks
264-101.9811 46.98502 (264*2π)/10144 weeks
2659.37638 -106.4126 (265*2π)/10144 weeks
266117.7142 -77.86118 (266*2π)/10144 weeks
267221.1132 18.38836 (267*2π)/10144 weeks
268113.597 171.022 (268*2π)/10144 weeks
26924.82799 114.3656 (269*2π)/10144 weeks
270-30.48956 88.67963 (270*2π)/10144 weeks
2716.47489 -24.03129 (271*2π)/10144 weeks
27272.43002 29.73068 (272*2π)/10144 weeks
27356.64888 32.31046 (273*2π)/10144 weeks
27461.98714 59.69048 (274*2π)/10144 weeks
27551.8243 49.02655 (275*2π)/10144 weeks
27640.94043 85.77918 (276*2π)/10144 weeks
27712.46786 44.86755 (277*2π)/10144 weeks
27824.17601 61.66661 (278*2π)/10144 weeks
2798.16327 25.00633 (279*2π)/10144 weeks
28035.7914 51.28405 (280*2π)/10144 weeks
281-6.01912 28.27872 (281*2π)/10144 weeks
28225.59919 18.28629 (282*2π)/10144 weeks
28316.06805 -3.90256 (283*2π)/10144 weeks
28480.6434 7.27633 (284*2π)/10144 weeks
28555.75956 57.86206 (285*2π)/10144 weeks
28641.5751 62.90787 (286*2π)/10144 weeks
287-7.49728 58.99729 (287*2π)/10144 weeks
288-.29497 11.62882 (288*2π)/10144 weeks
28911.96686 -13.95394 (289*2π)/10144 weeks
29081.32446 -9.48455 (290*2π)/10143 weeks
29167.05477 52.79435 (291*2π)/10143 weeks
29249.62596 59.47595 (292*2π)/10143 weeks
2938.15065 57.50471 (293*2π)/10143 weeks
29428.94513 40.1331 (294*2π)/10143 weeks
295-18.26394 44.05521 (295*2π)/10143 weeks
29622.57391 -3.30453 (296*2π)/10143 weeks
297-.33073 38.30721 (297*2π)/10143 weeks
298-.16209 -30.56354 (298*2π)/10143 weeks
29935.90405 -21.91639 (299*2π)/10143 weeks
30083.15849 -35.39771 (300*2π)/10143 weeks
30194.71833 46.85173 (301*2π)/10143 weeks
30271.78875 47.42098 (302*2π)/10143 weeks
30330.63326 117.6977 (303*2π)/10143 weeks
304-66.40179 34.59423 (304*2π)/10143 weeks
305-25.13469 -28.76797 (305*2π)/10143 weeks
30610.31481 -91.49229 (306*2π)/10143 weeks
307133.6052 -71.55389 (307*2π)/10143 weeks
308170.7518 21.25105 (308*2π)/10143 weeks
309149.0481 145.8143 (309*2π)/10143 weeks
310-5.75187 191.3804 (310*2π)/10143 weeks
311-115.1165 118.1009 (311*2π)/10143 weeks
312-182.2222 -47.52421 (312*2π)/10143 weeks
313-32.95369 -213.3437 (313*2π)/10143 weeks
314164.9712 -193.4436 (314*2π)/10143 weeks
315298.1756 -16.65105 (315*2π)/10143 weeks
316215.1947 176.9451 (316*2π)/10143 weeks
31773.41293 261.1733 (317*2π)/10143 weeks
318-171.7129 202.996 (318*2π)/10143 weeks
319-170.6745 -55.10625 (319*2π)/10143 weeks
320-78.96556 -126.7125 (320*2π)/10143 weeks
32178.3511 -224.7539 (321*2π)/10143 weeks
322247.7536 -83.3452 (322*2π)/10143 weeks
323274.0433 57.9775 (323*2π)/10143 weeks
324185.1659 263.3643 (324*2π)/10143 weeks
325-36.58787 266.0638 (325*2π)/10143 weeks
326-193.0129 175.0394 (326*2π)/10143 weeks
327-239.908 -91.2314 (327*2π)/10143 weeks
328-34.63556 -224.4201 (328*2π)/10143 weeks
329165.3305 -216.9436 (329*2π)/10143 weeks
330325.4958 12.15999 (330*2π)/10143 weeks
331188.5008 219.8125 (331*2π)/10143 weeks
3324.84411 284.5988 (332*2π)/10143 weeks
333-222.2645 151.0635 (333*2π)/10143 weeks
334-197.9648 -81.34108 (334*2π)/10143 weeks
335-66.62152 -223.8493 (335*2π)/10143 weeks
336173.4693 -192.1382 (336*2π)/10143 weeks
337240.0621 -8.5921 (337*2π)/10143 weeks
338175.7912 166.7464 (338*2π)/10143 weeks
339-46.46822 173.7435 (339*2π)/10143 weeks
340-82.58403 22.77456 (340*2π)/10143 weeks
341-70.98521 -59.44931 (341*2π)/10143 weeks
34264.91878 -136.1498 (342*2π)/10143 weeks
343140.1483 -19.88217 (343*2π)/10143 weeks
344113.5046 36.34396 (344*2π)/10143 weeks
34553.17915 72.2442 (345*2π)/10143 weeks
34628.39503 19.40766 (346*2π)/10143 weeks
34731.44258 23.84982 (347*2π)/10143 weeks
34847.95533 -30.73128 (348*2π)/10143 weeks
349110.2333 33.86569 (349*2π)/10143 weeks
35047.22513 63.57623 (350*2π)/10143 weeks
35130.20163 61.8169 (351*2π)/10143 weeks
352-22.07571 26.76274 (352*2π)/10143 weeks
3535.95996 -40.83355 (353*2π)/10143 weeks
35487.25654 -59.47168 (354*2π)/10143 weeks
355142.7477 30.44606 (355*2π)/10143 weeks
35697.42315 97.89919 (356*2π)/10143 weeks
35722.38881 143.6938 (357*2π)/10143 weeks
358-92.65031 74.28754 (358*2π)/10143 weeks
359-79.88689 -41.57648 (359*2π)/10143 weeks
360-1.93772 -132.0597 (360*2π)/10143 weeks
361150.6319 -93.47289 (361*2π)/10143 weeks
362177.6373 21.61292 (362*2π)/10143 weeks
363154.7256 142.3975 (363*2π)/10143 weeks
364-21.08989 190.0837 (364*2π)/10143 weeks
365-89.152 77.3847 (365*2π)/10143 weeks
366-134.8851 -2.42916 (366*2π)/10143 weeks
367-51.09501 -151.3614 (367*2π)/10143 weeks
36868.75019 -147.099 (368*2π)/10143 weeks
369211.6378 -106.9457 (369*2π)/10143 weeks
370229.8308 112.4844 (370*2π)/10143 weeks
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