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# Fourier Analysis of ATOS (Atossa Genetics Inc)

ATOS (Atossa Genetics Inc) appears to have interesting cyclic behaviour every 22 weeks (36.8859*cosine), 21 weeks (36.0283*cosine), and 19 weeks (30.1814*cosine).

ATOS (Atossa Genetics Inc) has an average price of 280.43 (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.

## Fourier Analysis

Using data from 11/8/2012 to 5/21/2018 for ATOS (Atossa Genetics Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0280.4323   0
1192.455 285.9357 (1*2π)/290290 weeks
299.80173 204.7005 (2*2π)/290145 weeks
3-4.3639 197.4161 (3*2π)/29097 weeks
4-36.87943 108.5195 (4*2π)/29073 weeks
5-47.12531 86.50228 (5*2π)/29058 weeks
6-37.37712 35.26027 (6*2π)/29048 weeks
7-24.3623 40.30519 (7*2π)/29041 weeks
8-35.5256 22.07989 (8*2π)/29036 weeks
9-11.81952 2.84692 (9*2π)/29032 weeks
10-19.34792 17.78425 (10*2π)/29029 weeks
11-24.86927 -18.49196 (11*2π)/29026 weeks
1215.89675 -27.37028 (12*2π)/29024 weeks
1336.88591 -7.74621 (13*2π)/29022 weeks
1436.02832 15.26471 (14*2π)/29021 weeks
1530.18144 28.93553 (15*2π)/29019 weeks
1610.81394 31.97725 (16*2π)/29018 weeks
176.61372 25.5506 (17*2π)/29017 weeks
188.82074 18.71995 (18*2π)/29016 weeks
199.68692 27.64751 (19*2π)/29015 weeks
20-.57576 25.80102 (20*2π)/29015 weeks
21-1.57555 25.82563 (21*2π)/29014 weeks
22-15.4792 24.97429 (22*2π)/29013 weeks
23-19.00038 -1.13324 (23*2π)/29013 weeks
241.69936 -5.04556 (24*2π)/29012 weeks
258.669 -1.05448 (25*2π)/29012 weeks
2616.79411 6.87837 (26*2π)/29011 weeks
2712.27612 20.98848 (27*2π)/29011 weeks
28.65192 20.58461 (28*2π)/29010 weeks
29-7.8733 17.05699 (29*2π)/29010 weeks
30-6.09994 2.44878 (30*2π)/29010 weeks
316.03338 5.12697 (31*2π)/2909 weeks
323.67095 12.16434 (32*2π)/2909 weeks
331.10808 13.03787 (33*2π)/2909 weeks
34-6.41571 16.18485 (34*2π)/2909 weeks
35-13.1212 1.76517 (35*2π)/2908 weeks
36-.86536 -3.6989 (36*2π)/2908 weeks
373.60707 1.25242 (37*2π)/2908 weeks
382.76423 -.77766 (38*2π)/2908 weeks
399.35672 6.65936 (39*2π)/2907 weeks
40-1.03813 10.06066 (40*2π)/2907 weeks
41-2.47546 1.34421 (41*2π)/2907 weeks
422.55584 -1.08013 (42*2π)/2907 weeks
435.40943 -.78686 (43*2π)/2907 weeks
4411.84135 1.90401 (44*2π)/2907 weeks
4510.55834 10.08028 (45*2π)/2906 weeks
463.71928 12.73626 (46*2π)/2906 weeks
47.65835 8.7961 (47*2π)/2906 weeks
48.85111 7.62776 (48*2π)/2906 weeks
49-.06975 6.09313 (49*2π)/2906 weeks
502.64712 4.3356 (50*2π)/2906 weeks
514.90515 9.91971 (51*2π)/2906 weeks
52-2.99776 12.32004 (52*2π)/2906 weeks
53-8.77977 7.79646 (53*2π)/2905 weeks
54-7.57232 -1.79788 (54*2π)/2905 weeks
55-4.01227 -2.26354 (55*2π)/2905 weeks
561.07145 -7.53203 (56*2π)/2905 weeks
578.47709 -1.82875 (57*2π)/2905 weeks
582.15227 3.91408 (58*2π)/2905 weeks
593.06598 -2.13605 (59*2π)/2905 weeks
605.87148 -1.38572 (60*2π)/2905 weeks
617.75003 .95223 (61*2π)/2905 weeks
629.93842 .68108 (62*2π)/2905 weeks
6311.56778 9.37331 (63*2π)/2905 weeks
644.68739 11.74113 (64*2π)/2905 weeks
65.3392 9.69041 (65*2π)/2904 weeks
66-1.65087 9.09684 (66*2π)/2904 weeks
67-5.14471 3.22681 (67*2π)/2904 weeks
681.01237 -.17722 (68*2π)/2904 weeks
692.23119 4.93509 (69*2π)/2904 weeks
70-1.85863 3.70713 (70*2π)/2904 weeks
71-3.33238 2.43065 (71*2π)/2904 weeks
72-2.17649 -4.40518 (72*2π)/2904 weeks
732.74958 -2.83467 (73*2π)/2904 weeks
744.31239 -4.6094 (74*2π)/2904 weeks
759.71906 -.78821 (75*2π)/2904 weeks
768.2855 4.32982 (76*2π)/2904 weeks
774.0024 5.00276 (77*2π)/2904 weeks
785.75852 4.47224 (78*2π)/2904 weeks
791.88809 6.12637 (79*2π)/2904 weeks
802.13175 2.89485 (80*2π)/2904 weeks
814.38774 4.92652 (81*2π)/2904 weeks
82-.25075 7.01966 (82*2π)/2904 weeks
83.02052 3.58246 (83*2π)/2903 weeks
84-2.96475 4.57089 (84*2π)/2903 weeks
85-3.90504 -1.16799 (85*2π)/2903 weeks
861.07131 -4.56564 (86*2π)/2903 weeks
874.34649 -1.13968 (87*2π)/2903 weeks
883.84802 -.46998 (88*2π)/2903 weeks
894.21487 .89945 (89*2π)/2903 weeks
903.17744 .11362 (90*2π)/2903 weeks
915.80762 .05009 (91*2π)/2903 weeks
924.73497 1.84184 (92*2π)/2903 weeks
937.80314 1.47663 (93*2π)/2903 weeks
946.83118 7.53922 (94*2π)/2903 weeks
951.31071 8.0076 (95*2π)/2903 weeks
96.34279 5.72225 (96*2π)/2903 weeks
97-2.6252 5.49599 (97*2π)/2903 weeks
98-1.90308 .95154 (98*2π)/2903 weeks
99-1.16192 2.49378 (99*2π)/2903 weeks
100-3.49083 .66245 (100*2π)/2903 weeks
101-2.53847 -4.16319 (101*2π)/2903 weeks
1022.07892 -3.67239 (102*2π)/2903 weeks
1031.40171 -4.98871 (103*2π)/2903 weeks
1048.16682 -4.98877 (104*2π)/2903 weeks
1059.03877 .6587 (105*2π)/2903 weeks
1067.29005 3.67285 (106*2π)/2903 weeks
1076.25438 5.17687 (107*2π)/2903 weeks
1082.77968 7.3183 (108*2π)/2903 weeks
109-1.234 5.75764 (109*2π)/2903 weeks
110-1.24525 1.80468 (110*2π)/2903 weeks
111-1.02224 2.55154 (111*2π)/2903 weeks
112-1.7027 -.11896 (112*2π)/2903 weeks
113-.64921 -.81786 (113*2π)/2903 weeks
114-.71402 -1.15933 (114*2π)/2903 weeks
115.01406 -3.52544 (115*2π)/2903 weeks
1161.79072 -3.89891 (116*2π)/2903 weeks
1175.10322 -4.63091 (117*2π)/2902 weeks
1186.56103 -.44884 (118*2π)/2902 weeks
1194.44273 .52987 (119*2π)/2902 weeks
1204.76492 1.6095 (120*2π)/2902 weeks
121-.39425 .21833 (121*2π)/2902 weeks
1224.93342 -5.29795 (122*2π)/2902 weeks
1239.30519 .09199 (123*2π)/2902 weeks
1245.94197 3.88866 (124*2π)/2902 weeks
1255.41857 3.3881 (125*2π)/2902 weeks
1262.38557 5.46898 (126*2π)/2902 weeks
127.12741 2.13228 (127*2π)/2902 weeks
1283.25215 1.06854 (128*2π)/2902 weeks
1292.01259 3.82778 (129*2π)/2902 weeks
130.64897 2.8388 (130*2π)/2902 weeks
131-1.23978 3.92901 (131*2π)/2902 weeks
132-4.19281 -.43523 (132*2π)/2902 weeks
133-2.47796 -3.93982 (133*2π)/2902 weeks
134.90458 -6.69277 (134*2π)/2902 weeks
1356.29761 -6.10681 (135*2π)/2902 weeks
1367.63472 -.82179 (136*2π)/2902 weeks
1376.49225 .58163 (137*2π)/2902 weeks
1384.43163 3.10025 (138*2π)/2902 weeks
1391.99099 1.91727 (139*2π)/2902 weeks
1401.94315 -1.78744 (140*2π)/2902 weeks
1416.60223 .83841 (141*2π)/2902 weeks
1423.752 2.68407 (142*2π)/2902 weeks
1432.49689 4.14797 (143*2π)/2902 weeks
144-.1521 3.67078 (144*2π)/2902 weeks
145-3.82306   (145*2π)/2902 weeks
146-.1521 -3.67078 (146*2π)/2902 weeks
1472.49689 -4.14797 (147*2π)/2902 weeks
1483.752 -2.68407 (148*2π)/2902 weeks
1496.60223 -.83841 (149*2π)/2902 weeks
1501.94315 1.78744 (150*2π)/2902 weeks
1511.99099 -1.91727 (151*2π)/2902 weeks
1524.43163 -3.10025 (152*2π)/2902 weeks
1536.49225 -.58163 (153*2π)/2902 weeks
1547.63472 .82179 (154*2π)/2902 weeks
1556.29761 6.10681 (155*2π)/2902 weeks
156.90458 6.69277 (156*2π)/2902 weeks
157-2.47796 3.93982 (157*2π)/2902 weeks
158-4.19281 .43523 (158*2π)/2902 weeks
159-1.23978 -3.92901 (159*2π)/2902 weeks
160.64897 -2.8388 (160*2π)/2902 weeks
1612.01259 -3.82778 (161*2π)/2902 weeks
1623.25215 -1.06854 (162*2π)/2902 weeks
163.12741 -2.13228 (163*2π)/2902 weeks
1642.38557 -5.46898 (164*2π)/2902 weeks
1655.41857 -3.3881 (165*2π)/2902 weeks
1665.94197 -3.88866 (166*2π)/2902 weeks
1679.30519 -.09199 (167*2π)/2902 weeks
1684.93342 5.29795 (168*2π)/2902 weeks
169-.39425 -.21833 (169*2π)/2902 weeks
1704.76492 -1.6095 (170*2π)/2902 weeks
1714.44273 -.52987 (171*2π)/2902 weeks
1726.56103 .44884 (172*2π)/2902 weeks
1735.10322 4.63091 (173*2π)/2902 weeks
1741.79072 3.89891 (174*2π)/2902 weeks
175.01406 3.52544 (175*2π)/2902 weeks
176-.71402 1.15933 (176*2π)/2902 weeks
177-.64921 .81786 (177*2π)/2902 weeks
178-1.7027 .11896 (178*2π)/2902 weeks
179-1.02224 -2.55154 (179*2π)/2902 weeks
180-1.24525 -1.80468 (180*2π)/2902 weeks
181-1.234 -5.75764 (181*2π)/2902 weeks
1822.77968 -7.3183 (182*2π)/2902 weeks
1836.25438 -5.17687 (183*2π)/2902 weeks
1847.29005 -3.67285 (184*2π)/2902 weeks
1859.03877 -.6587 (185*2π)/2902 weeks
1868.16682 4.98877 (186*2π)/2902 weeks
1871.40171 4.98871 (187*2π)/2902 weeks
1882.07892 3.67239 (188*2π)/2902 weeks
189-2.53847 4.16319 (189*2π)/2902 weeks
190-3.49083 -.66245 (190*2π)/2902 weeks
191-1.16192 -2.49378 (191*2π)/2902 weeks
192-1.90308 -.95154 (192*2π)/2902 weeks
193-2.6252 -5.49599 (193*2π)/2902 weeks
194.34279 -5.72225 (194*2π)/2901 weeks
1951.31071 -8.0076 (195*2π)/2901 weeks
1966.83118 -7.53922 (196*2π)/2901 weeks
1977.80314 -1.47663 (197*2π)/2901 weeks
1984.73497 -1.84184 (198*2π)/2901 weeks
1995.80762 -.05009 (199*2π)/2901 weeks
2003.17744 -.11362 (200*2π)/2901 weeks
2014.21487 -.89945 (201*2π)/2901 weeks
2023.84802 .46998 (202*2π)/2901 weeks
2034.34649 1.13968 (203*2π)/2901 weeks
2041.07131 4.56564 (204*2π)/2901 weeks
205-3.90504 1.16799 (205*2π)/2901 weeks
206-2.96475 -4.57089 (206*2π)/2901 weeks
207.02052 -3.58246 (207*2π)/2901 weeks
208-.25075 -7.01966 (208*2π)/2901 weeks
2094.38774 -4.92652 (209*2π)/2901 weeks
2102.13175 -2.89485 (210*2π)/2901 weeks
2111.88809 -6.12637 (211*2π)/2901 weeks
2125.75852 -4.47224 (212*2π)/2901 weeks
2134.0024 -5.00276 (213*2π)/2901 weeks
2148.2855 -4.32982 (214*2π)/2901 weeks
2159.71906 .78821 (215*2π)/2901 weeks
2164.31239 4.6094 (216*2π)/2901 weeks
2172.74958 2.83467 (217*2π)/2901 weeks
218-2.17649 4.40518 (218*2π)/2901 weeks
219-3.33238 -2.43065 (219*2π)/2901 weeks
220-1.85863 -3.70713 (220*2π)/2901 weeks
2212.23119 -4.93509 (221*2π)/2901 weeks
2221.01237 .17722 (222*2π)/2901 weeks
223-5.14471 -3.22681 (223*2π)/2901 weeks
224-1.65087 -9.09684 (224*2π)/2901 weeks
225.3392 -9.69041 (225*2π)/2901 weeks
2264.68739 -11.74113 (226*2π)/2901 weeks
22711.56778 -9.37331 (227*2π)/2901 weeks
2289.93842 -.68108 (228*2π)/2901 weeks
2297.75003 -.95223 (229*2π)/2901 weeks
2305.87148 1.38572 (230*2π)/2901 weeks
2313.06598 2.13605 (231*2π)/2901 weeks
2322.15227 -3.91408 (232*2π)/2901 weeks
2338.47709 1.82875 (233*2π)/2901 weeks
2341.07145 7.53203 (234*2π)/2901 weeks
235-4.01227 2.26354 (235*2π)/2901 weeks
236-7.57232 1.79788 (236*2π)/2901 weeks
237-8.77977 -7.79646 (237*2π)/2901 weeks
238-2.99776 -12.32004 (238*2π)/2901 weeks
2394.90515 -9.91971 (239*2π)/2901 weeks
2402.64712 -4.3356 (240*2π)/2901 weeks
241-.06975 -6.09313 (241*2π)/2901 weeks
242.85111 -7.62776 (242*2π)/2901 weeks
243.65835 -8.7961 (243*2π)/2901 weeks
2443.71928 -12.73626 (244*2π)/2901 weeks
24510.55834 -10.08028 (245*2π)/2901 weeks
24611.84135 -1.90401 (246*2π)/2901 weeks
2475.40943 .78686 (247*2π)/2901 weeks
2482.55584 1.08013 (248*2π)/2901 weeks
249-2.47546 -1.34421 (249*2π)/2901 weeks
250-1.03813 -10.06066 (250*2π)/2901 weeks
2519.35672 -6.65936 (251*2π)/2901 weeks
2522.76423 .77766 (252*2π)/2901 weeks
2533.60707 -1.25242 (253*2π)/2901 weeks
254-.86536 3.6989 (254*2π)/2901 weeks
255-13.1212 -1.76517 (255*2π)/2901 weeks
256-6.41571 -16.18485 (256*2π)/2901 weeks
2571.10808 -13.03787 (257*2π)/2901 weeks
2583.67095 -12.16434 (258*2π)/2901 weeks
2596.03338 -5.12697 (259*2π)/2901 weeks
260-6.09994 -2.44878 (260*2π)/2901 weeks
261-7.8733 -17.05699 (261*2π)/2901 weeks
262.65192 -20.58461 (262*2π)/2901 weeks
26312.27612 -20.98848 (263*2π)/2901 weeks
26416.79411 -6.87837 (264*2π)/2901 weeks
2658.669 1.05448 (265*2π)/2901 weeks
2661.69936 5.04556 (266*2π)/2901 weeks
267-19.00038 1.13324 (267*2π)/2901 weeks
268-15.4792 -24.97429 (268*2π)/2901 weeks
269-1.57555 -25.82563 (269*2π)/2901 weeks
270-.57576 -25.80102 (270*2π)/2901 weeks
2719.68692 -27.64751 (271*2π)/2901 weeks
2728.82074 -18.71995 (272*2π)/2901 weeks
2736.61372 -25.5506 (273*2π)/2901 weeks
27410.81394 -31.97725 (274*2π)/2901 weeks
27530.18144 -28.93553 (275*2π)/2901 weeks
27636.02832 -15.26471 (276*2π)/2901 weeks
27736.88591 7.74621 (277*2π)/2901 weeks
27815.89675 27.37028 (278*2π)/2901 weeks
279-24.86927 18.49196 (279*2π)/2901 weeks
280-19.34792 -17.78425 (280*2π)/2901 weeks
281-11.81952 -2.84692 (281*2π)/2901 weeks
282-35.5256 -22.07989 (282*2π)/2901 weeks
283-24.3623 -40.30519 (283*2π)/2901 weeks
284-37.37712 -35.26027 (284*2π)/2901 weeks
285-47.12531 -86.50228 (285*2π)/2901 weeks
286-36.87943 -108.5195 (286*2π)/2901 weeks
287-4.3639 -197.4161 (287*2π)/2901 weeks
28899.80173 -204.7005 (288*2π)/2901 weeks