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Fourier Analysis of ABIO (ARCA biopharma, Inc.)


ABIO (ARCA biopharma, Inc.) appears to have interesting cyclic behaviour every 102 weeks (4770.738*cosine), 102 weeks (4616.438*sine), and 93 weeks (4363.758*cosine).

ABIO (ARCA biopharma, Inc.) has an average price of 11,095.85 (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 3/13/2017 for ABIO (ARCA biopharma, Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
011,095.85   0 
18,751.202 14,332.41 (1*2π)/10231,023 weeks
2-247.9481 11,073.92 (2*2π)/1023512 weeks
3-7,937.893 6,472.046 (3*2π)/1023341 weeks
4-5,752.797 -4,576.985 (4*2π)/1023256 weeks
51,555.906 -5,621.725 (5*2π)/1023205 weeks
66,885.701 -3,222.663 (6*2π)/1023171 weeks
77,288.712 3,788.981 (7*2π)/1023146 weeks
83,383.032 5,696.872 (8*2π)/1023128 weeks
9418.5157 7,364.574 (9*2π)/1023114 weeks
10-4,770.738 4,616.438 (10*2π)/1023102 weeks
11-4,363.758 -53.50014 (11*2π)/102393 weeks
12-2,317.822 -2,803.745 (12*2π)/102385 weeks
131,836.458 -2,880.621 (13*2π)/102379 weeks
143,023.98 -139.1841 (14*2π)/102373 weeks
152,966.876 1,866.434 (15*2π)/102368 weeks
16748.927 3,485.249 (16*2π)/102364 weeks
17-991.79 2,434.698 (17*2π)/102360 weeks
18-1,721.058 1,328.918 (18*2π)/102357 weeks
19-1,470.394 -135.5331 (19*2π)/102354 weeks
20-769.3682 -827.8558 (20*2π)/102351 weeks
21505.3737 -1,293.957 (21*2π)/102349 weeks
221,389.832 -405.872 (22*2π)/102347 weeks
231,776.825 97.80732 (23*2π)/102344 weeks
241,878.42 1,469.032 (24*2π)/102343 weeks
25840.187 2,216.389 (25*2π)/102341 weeks
26-466.7833 2,443.644 (26*2π)/102339 weeks
27-1,712.591 1,240.106 (27*2π)/102338 weeks
28-1,738.526 -203.9806 (28*2π)/102337 weeks
29-551.5498 -2,003.644 (29*2π)/102335 weeks
302,126.042 -1,312.921 (30*2π)/102334 weeks
312,566.273 635.5406 (31*2π)/102333 weeks
322,153.985 2,645.248 (32*2π)/102332 weeks
33-504.2878 3,458.188 (33*2π)/102331 weeks
34-1,981.441 2,010.982 (34*2π)/102330 weeks
35-2,686.493 278.4925 (35*2π)/102329 weeks
36-1,375.793 -1,765.691 (36*2π)/102328 weeks
37525.0075 -1,748.195 (37*2π)/102328 weeks
382,027.411 -873.9255 (38*2π)/102327 weeks
392,307.514 1,239.4 (39*2π)/102326 weeks
40972.7629 2,525.25 (40*2π)/102326 weeks
41-865.1301 2,676.983 (41*2π)/102325 weeks
42-2,233.269 1,246.911 (42*2π)/102324 weeks
43-2,089.469 -574.3536 (43*2π)/102324 weeks
44-634.7456 -1,768.841 (44*2π)/102323 weeks
451,102.607 -1,313.573 (45*2π)/102323 weeks
461,922.861 19.15439 (46*2π)/102322 weeks
471,473.686 1,713.495 (47*2π)/102322 weeks
48-47.63422 2,253.231 (48*2π)/102321 weeks
49-1,435.754 1,772.062 (49*2π)/102321 weeks
50-2,017.743 185.7839 (50*2π)/102320 weeks
51-1,221.937 -871.2384 (51*2π)/102320 weeks
52-298.9871 -1,388.163 (52*2π)/102320 weeks
531,072.013 -995.876 (53*2π)/102319 weeks
541,447.543 229.1242 (54*2π)/102319 weeks
551,085.221 1,349.552 (55*2π)/102319 weeks
56-263.5947 1,913.287 (56*2π)/102318 weeks
57-1,423.111 1,205.671 (57*2π)/102318 weeks
58-1,890.466 -75.26437 (58*2π)/102318 weeks
59-1,079.346 -1,483.674 (59*2π)/102317 weeks
60496.9372 -1,607.213 (60*2π)/102317 weeks
611,564.808 -627.4196 (61*2π)/102317 weeks
621,498.733 840.0521 (62*2π)/102317 weeks
63455.3136 1,586.854 (63*2π)/102316 weeks
64-786.3065 1,445.35 (64*2π)/102316 weeks
65-1,399.881 306.847 (65*2π)/102316 weeks
66-1,010.3 -677.6611 (66*2π)/102316 weeks
67-51.1772 -1,161.787 (67*2π)/102315 weeks
68852.3486 -676.3525 (68*2π)/102315 weeks
691,153.035 67.45052 (69*2π)/102315 weeks
70862.7953 1,019.941 (70*2π)/102315 weeks
71-95.2436 1,188.054 (71*2π)/102314 weeks
72-669.9093 869.5549 (72*2π)/102314 weeks
73-1,058.088 85.92076 (73*2π)/102314 weeks
74-525.6951 -595.1155 (74*2π)/102314 weeks
7548.34674 -729.2512 (75*2π)/102314 weeks
76766.681 -435.9248 (76*2π)/102313 weeks
77847.7656 316.4053 (77*2π)/102313 weeks
78564.0651 818.97 (78*2π)/102313 weeks
79-159.1099 1,058.944 (79*2π)/102313 weeks
80-655.8069 602.4572 (80*2π)/102313 weeks
81-821.5035 85.70891 (81*2π)/102313 weeks
82-452.1439 -543.2249 (82*2π)/102312 weeks
83185.0974 -515.3757 (83*2π)/102312 weeks
84578.5736 -193.0728 (84*2π)/102312 weeks
85643.8089 436.8366 (85*2π)/102312 weeks
86173.677 794.6612 (86*2π)/102312 weeks
87-336.4077 815.1174 (87*2π)/102312 weeks
88-765.6678 376.8013 (88*2π)/102312 weeks
89-745.3425 -73.50912 (89*2π)/102311 weeks
90-534.7944 -592.8747 (90*2π)/102311 weeks
91144.6508 -659.5471 (91*2π)/102311 weeks
92478.1701 -369.0636 (92*2π)/102311 weeks
93744.3911 180.8646 (93*2π)/102311 weeks
94266.7745 724.4657 (94*2π)/102311 weeks
95-282.4345 768.345 (95*2π)/102311 weeks
96-931.0907 273.0759 (96*2π)/102311 weeks
97-655.8911 -513.7033 (97*2π)/102311 weeks
98-236.5888 -744.7044 (98*2π)/102310 weeks
99446.7231 -819.8961 (99*2π)/102310 weeks
100853.8997 -184.1632 (100*2π)/102310 weeks
101761.4466 323.2925 (101*2π)/102310 weeks
102366.2137 818.3062 (102*2π)/102310 weeks
103-323.5606 755.8281 (103*2π)/102310 weeks
104-757.9708 302.189 (104*2π)/102310 weeks
105-705.7309 -522.8354 (105*2π)/102310 weeks
10672.5775 -851.2833 (106*2π)/102310 weeks
107711.6993 -546.3762 (107*2π)/102310 weeks
108969.707 186.6076 (108*2π)/10239 weeks
109516.4877 801.9122 (109*2π)/10239 weeks
110-177.7953 893.8413 (110*2π)/10239 weeks
111-684.4548 384.8813 (111*2π)/10239 weeks
112-638.785 -152.8675 (112*2π)/10239 weeks
113-326.1527 -642.8748 (113*2π)/10239 weeks
114382.5688 -638.6179 (114*2π)/10239 weeks
115719.2987 -157.4644 (115*2π)/10239 weeks
116679.9091 437.1457 (116*2π)/10239 weeks
11790.69975 767.8792 (117*2π)/10239 weeks
118-396.1285 506.3812 (118*2π)/10239 weeks
119-612.2763 60.02348 (119*2π)/10239 weeks
120-359.1973 -462.2883 (120*2π)/10239 weeks
121127.8726 -518.5441 (121*2π)/10238 weeks
122480.6422 -303.6229 (122*2π)/10238 weeks
123556.3474 133.3804 (123*2π)/10238 weeks
124314.0531 406.7629 (124*2π)/10238 weeks
125-30.47838 453.7367 (125*2π)/10238 weeks
126-244.8584 212.9358 (126*2π)/10238 weeks
127-246.4624 -12.46957 (127*2π)/10238 weeks
128-84.95558 -199.3504 (128*2π)/10238 weeks
12941.86558 -153.4293 (129*2π)/10238 weeks
130148.5259 -260.6272 (130*2π)/10238 weeks
131432.6937 -109.7332 (131*2π)/10238 weeks
132466.7843 184.708 (132*2π)/10238 weeks
133278.4644 519.7195 (133*2π)/10238 weeks
134-200.0674 486.2148 (134*2π)/10238 weeks
135-362.536 165.2164 (135*2π)/10238 weeks
136-354.823 -188.7716 (136*2π)/10238 weeks
13731.60269 -402.758 (137*2π)/10237 weeks
138299.4482 -232.0074 (138*2π)/10237 weeks
139438.5461 -24.19975 (139*2π)/10237 weeks
140377.1887 269.0125 (140*2π)/10237 weeks
141186.3754 439.8147 (141*2π)/10237 weeks
142-199.055 478.3374 (142*2π)/10237 weeks
143-429.1914 108.5119 (143*2π)/10237 weeks
144-370.5445 -233.8243 (144*2π)/10237 weeks
145-14.22435 -551.9465 (145*2π)/10237 weeks
146462.0595 -359.1072 (146*2π)/10237 weeks
147601.9025 12.06742 (147*2π)/10237 weeks
148446.5324 441.78 (148*2π)/10237 weeks
1499.02604 507.9475 (149*2π)/10237 weeks
150-290.2688 329.5409 (150*2π)/10237 weeks
151-383.3333 -128.9776 (151*2π)/10237 weeks
152-34.20441 -350.7591 (152*2π)/10237 weeks
153240.8094 -386.1592 (153*2π)/10237 weeks
154610.5787 -95.06523 (154*2π)/10237 weeks
155490.0103 274.1227 (155*2π)/10237 weeks
156345.7193 521.0527 (156*2π)/10237 weeks
157-144.1092 562.2679 (157*2π)/10237 weeks
158-279.0697 230.2511 (158*2π)/10236 weeks
159-348.0348 .88323 (159*2π)/10236 weeks
160-81.57785 -318.651 (160*2π)/10236 weeks
161209.3845 -223.1108 (161*2π)/10236 weeks
162417.8521 -76.38788 (162*2π)/10236 weeks
163414.327 305.4021 (163*2π)/10236 weeks
164141.9544 452.7504 (164*2π)/10236 weeks
165-153.1679 483.934 (165*2π)/10236 weeks
166-446.7835 155.6585 (166*2π)/10236 weeks
167-313.1362 -214.9408 (167*2π)/10236 weeks
168-11.32377 -412.2388 (168*2π)/10236 weeks
169390.5358 -256.9265 (169*2π)/10236 weeks
170453.9146 87.26002 (170*2π)/10236 weeks
171306.2107 372.6041 (171*2π)/10236 weeks
172-25.84934 390.342 (172*2π)/10236 weeks
173-157.5552 252.5613 (173*2π)/10236 weeks
174-272.6887 58.58492 (174*2π)/10236 weeks
175-145.3521 -155.4893 (175*2π)/10236 weeks
176-17.04428 -240.1593 (176*2π)/10236 weeks
177260.0496 -263.2803 (177*2π)/10236 weeks
178422.9155 -25.14689 (178*2π)/10236 weeks
179441.3305 246.9043 (179*2π)/10236 weeks
180164.0316 532.6878 (180*2π)/10236 weeks
181-218.8653 419.928 (181*2π)/10236 weeks
182-401.4627 139.5655 (182*2π)/10236 weeks
183-324.4153 -279.4226 (183*2π)/10236 weeks
18470.58134 -435.3086 (184*2π)/10236 weeks
185431.7874 -306.8702 (185*2π)/10236 weeks
186628.8674 90.384 (186*2π)/10236 weeks
187455.8777 520.0122 (187*2π)/10235 weeks
188-28.26595 720.2103 (188*2π)/10235 weeks
189-516.2737 409.8942 (189*2π)/10235 weeks
190-578.1717 -139.0783 (190*2π)/10235 weeks
191-181.4417 -582.2408 (191*2π)/10235 weeks
192421.1858 -490.632 (192*2π)/10235 weeks
193690.0008 -12.02707 (193*2π)/10235 weeks
194501.244 496.6023 (194*2π)/10235 weeks
19533.84953 605.751 (195*2π)/10235 weeks
196-283.0212 439.286 (196*2π)/10235 weeks
197-455.4933 73.74505 (197*2π)/10235 weeks
198-245.4017 -270.0573 (198*2π)/10235 weeks
19965.20995 -350.6813 (199*2π)/10235 weeks
200398.1502 -198.9855 (200*2π)/10235 weeks
201438.969 182.2053 (201*2π)/10235 weeks
202243.1414 401.9843 (202*2π)/10235 weeks
203-88.35148 478.0656 (203*2π)/10235 weeks
204-342.7278 190.4562 (204*2π)/10235 weeks
205-270.4596 -91.55444 (205*2π)/10235 weeks
206-64.54822 -271.7946 (206*2π)/10235 weeks
207222.5079 -206.61 (207*2π)/10235 weeks
208350.8518 -3.51077 (208*2π)/10235 weeks
209319.0521 282.6502 (209*2π)/10235 weeks
21027.25999 419.0057 (210*2π)/10235 weeks
211-221.6446 272.4816 (211*2π)/10235 weeks
212-264.202 18.99752 (212*2π)/10235 weeks
213-136.2011 -151.8303 (213*2π)/10235 weeks
21483.35174 -214.0541 (214*2π)/10235 weeks
215257.8784 -18.67806 (215*2π)/10235 weeks
216184.5992 127.5643 (216*2π)/10235 weeks
217127.9978 235.9588 (217*2π)/10235 weeks
218-80.90603 246.3395 (218*2π)/10235 weeks
219-149.0177 113.2759 (219*2π)/10235 weeks
220-174.6896 -28.10035 (220*2π)/10235 weeks
221-23.75352 -129.2846 (221*2π)/10235 weeks
22251.33485 -95.24934 (222*2π)/10235 weeks
223168.7135 -60.62017 (223*2π)/10235 weeks
224153.551 106.3794 (224*2π)/10235 weeks
22559.96099 128.2659 (225*2π)/10235 weeks
226-33.75039 132.6314 (226*2π)/10235 weeks
227-78.30869 4.65133 (227*2π)/10235 weeks
228-15.61845 -48.79937 (228*2π)/10234 weeks
22962.75179 -98.02544 (229*2π)/10234 weeks
230152.5482 3.90502 (230*2π)/10234 weeks
23192.86436 34.6996 (231*2π)/10234 weeks
232107.1611 56.47893 (232*2π)/10234 weeks
23377.02811 45.93761 (233*2π)/10234 weeks
234102.6228 77.27757 (234*2π)/10234 weeks
23560.23029 59.8385 (235*2π)/10234 weeks
236120.5814 94.86549 (236*2π)/10234 weeks
23720.66876 141.8078 (237*2π)/10234 weeks
238-7.58013 73.55212 (238*2π)/10234 weeks
239-2.40983 1.66294 (239*2π)/10234 weeks
240126.4437 -12.47222 (240*2π)/10234 weeks
241153.6271 106.1872 (241*2π)/10234 weeks
242121.5432 189.8296 (242*2π)/10234 weeks
243-30.5722 250.403 (243*2π)/10234 weeks
244-112.4805 107.4789 (244*2π)/10234 weeks
245-72.84878 65.34722 (245*2π)/10234 weeks
246-74.16682 6.95938 (246*2π)/10234 weeks
247-11.02837 -14.51582 (247*2π)/10234 weeks
24829.61535 -18.92159 (248*2π)/10234 weeks
24984.69989 39.09864 (249*2π)/10234 weeks
25059.39315 109.2528 (250*2π)/10234 weeks
251-24.00553 164.103 (251*2π)/10234 weeks
252-151.2676 95.58255 (252*2π)/10234 weeks
253-158.407 -59.69119 (253*2π)/10234 weeks
254-28.05387 -159.3161 (254*2π)/10234 weeks
25596.33784 -96.77148 (255*2π)/10234 weeks
256139.2193 -25.68915 (256*2π)/10234 weeks
257116.7943 111.1323 (257*2π)/10234 weeks
258-30.48577 108.2183 (258*2π)/10234 weeks
259-68.11411 37.94094 (259*2π)/10234 weeks
260-93.53529 -72.87061 (260*2π)/10234 weeks
26136.76736 -139.4491 (261*2π)/10234 weeks
262103.5958 -122.5206 (262*2π)/10234 weeks
263239.8595 -39.65219 (263*2π)/10234 weeks
264161.2428 135.2676 (264*2π)/10234 weeks
26561.44762 138.5187 (265*2π)/10234 weeks
266-68.01029 111.3256 (266*2π)/10234 weeks
267-51.55907 -81.61914 (267*2π)/10234 weeks
26888.22569 -87.77015 (268*2π)/10234 weeks
269186.7202 -40.83892 (269*2π)/10234 weeks
270180.8009 139.9805 (270*2π)/10234 weeks
27134.43571 135.8042 (271*2π)/10234 weeks
2722.162 108.4164 (272*2π)/10234 weeks
273-36.9132 10.99907 (273*2π)/10234 weeks
27468.22014 -2.12701 (274*2π)/10234 weeks
27553.38158 38.68425 (275*2π)/10234 weeks
27668.88071 44.04892 (276*2π)/10234 weeks
27745.3553 55.64824 (277*2π)/10234 weeks
27860.4028 67.10876 (278*2π)/10234 weeks
2798.81117 69.59104 (279*2π)/10234 weeks
28031.7499 46.41324 (280*2π)/10234 weeks
2811.89673 49.62019 (281*2π)/10234 weeks
28234.80967 25.89845 (282*2π)/10234 weeks
2836.50989 55.36631 (283*2π)/10234 weeks
28412.62618 9.53674 (284*2π)/10234 weeks
28515.30917 19.63403 (285*2π)/10234 weeks
28647.10641 -17.12733 (286*2π)/10234 weeks
28778.2486 42.12001 (287*2π)/10234 weeks
28844.86425 55.03974 (288*2π)/10234 weeks
28923.24749 72.31081 (289*2π)/10234 weeks
290-13.69308 30.98805 (290*2π)/10234 weeks
2914.9342 5.92825 (291*2π)/10234 weeks
29237.46695 -28.16804 (292*2π)/10234 weeks
29388.66171 24.7081 (293*2π)/10233 weeks
29453.69246 52.86416 (294*2π)/10233 weeks
29536.40738 68.6574 (295*2π)/10233 weeks
2968.57101 37.31911 (296*2π)/10233 weeks
29720.54823 56.71168 (297*2π)/10233 weeks
298-19.37292 12.43071 (298*2π)/10233 weeks
29934.3419 18.42828 (299*2π)/10233 weeks
300-20.31782 16.1849 (300*2π)/10233 weeks
30123.19229 -32.47043 (301*2π)/10233 weeks
30238.97625 -29.37443 (302*2π)/10233 weeks
303105.5891 -11.82592 (303*2π)/10233 weeks
30473.74568 52.84492 (304*2π)/10233 weeks
30578.17224 63.72316 (305*2π)/10233 weeks
306-14.07681 112.9803 (306*2π)/10233 weeks
307-56.21532 1.38587 (307*2π)/10233 weeks
308-21.85485 -38.73568 (308*2π)/10233 weeks
30944.25042 -104.0658 (309*2π)/10233 weeks
310149.7262 -44.11154 (310*2π)/10233 weeks
311173.9546 47.42007 (311*2π)/10233 weeks
312115.9596 174.0482 (312*2π)/10233 weeks
313-38.72508 174.9636 (313*2π)/10233 weeks
314-138.0032 92.44387 (314*2π)/10233 weeks
315-166.3949 -98.96634 (315*2π)/10233 weeks
31613.09701 -219.4307 (316*2π)/10233 weeks
317201.8974 -169.5108 (317*2π)/10233 weeks
318295.6541 32.35673 (318*2π)/10233 weeks
319186.986 194.317 (319*2π)/10233 weeks
32035.18148 270.3694 (320*2π)/10233 weeks
321-199.8712 154.9219 (321*2π)/10233 weeks
322-144.9333 -74.78008 (322*2π)/10233 weeks
323-69.30576 -142.8059 (323*2π)/10233 weeks
324115.7751 -217.1879 (324*2π)/10233 weeks
325250.0438 -59.32928 (325*2π)/10233 weeks
326274.6357 81.24969 (326*2π)/10233 weeks
327154.2358 276.3122 (327*2π)/10233 weeks
328-53.35726 255.2951 (328*2π)/10233 weeks
329-208.9283 154.6661 (329*2π)/10233 weeks
330-223.3072 -115.6694 (330*2π)/10233 weeks
331-17.87053 -224.1441 (331*2π)/10233 weeks
332182.9259 -207.7762 (332*2π)/10233 weeks
333320.8972 33.62364 (333*2π)/10233 weeks
334176.361 223.4437 (334*2π)/10233 weeks
335-7.85293 282.7339 (335*2π)/10233 weeks
336-225.1381 137.9877 (336*2π)/10233 weeks
337-192.838 -86.13815 (337*2π)/10233 weeks
338-60.47161 -224.7619 (338*2π)/10233 weeks
339175.0211 -187.4055 (339*2π)/10233 weeks
340237.9467 -7.07915 (340*2π)/10233 weeks
341174.2449 165.2794 (341*2π)/10233 weeks
342-44.5539 173.5242 (342*2π)/10233 weeks
343-82.48885 24.07426 (343*2π)/10233 weeks
344-71.14868 -55.61142 (344*2π)/10233 weeks
34557.94946 -136.4685 (345*2π)/10233 weeks
346139.917 -24.1931 (346*2π)/10233 weeks
347113.5475 33.38397 (347*2π)/10233 weeks
34857.92545 72.50266 (348*2π)/10233 weeks
34925.91042 21.66139 (349*2π)/10233 weeks
35034.08459 24.4299 (350*2π)/10233 weeks
35139.71773 -27.27384 (351*2π)/10233 weeks
352110.971 23.34188 (352*2π)/10233 weeks
35351.23651 65.74938 (353*2π)/10233 weeks
35434.03649 59.26011 (354*2π)/10233 weeks
355-18.66273 36.20645 (355*2π)/10233 weeks
356-.98313 -34.21453 (356*2π)/10233 weeks
35772.1554 -62.00063 (357*2π)/10233 weeks
358142.3313 13.70672 (358*2π)/10233 weeks
359103.9904 90.23884 (359*2π)/10233 weeks
36041.44978 137.5638 (360*2π)/10233 weeks
361-79.81201 96.60886 (361*2π)/10233 weeks
362-86.50565 -24.64994 (362*2π)/10233 weeks
363-26.75923 -115.7561 (363*2π)/10233 weeks
364126.1097 -116.1008 (364*2π)/10233 weeks
365176.0488 1.86182 (365*2π)/10233 weeks
366168.9627 109.2919 (366*2π)/10233 weeks
36722.93112 201.4535 (367*2π)/10233 weeks
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