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Fourier Analysis of ATOS (Atossa Genetics Inc.)


ATOS (Atossa Genetics Inc.) appears to have interesting cyclic behaviour every 21 weeks (4.4647*cosine), 19 weeks (3.4745*cosine), and 19 weeks (3.1824*sine).

ATOS (Atossa Genetics Inc.) has an average price of 31.58 (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 11/8/2012 to 11/28/2016 for ATOS (Atossa Genetics Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
031.57625   0 
114.02775 26.26925 (1*2π)/213213 weeks
23.11121 23.9746 (2*2π)/213107 weeks
3-4.0841 11.83694 (3*2π)/21371 weeks
4-6.17829 6.78481 (4*2π)/21353 weeks
5-2.53734 4.39958 (5*2π)/21343 weeks
6-3.9734 1.7732 (6*2π)/21336 weeks
7-.84457 1.64513 (7*2π)/21330 weeks
8-3.09904 -1.64109 (8*2π)/21327 weeks
92.63529 -2.66795 (9*2π)/21324 weeks
104.46468 .89164 (10*2π)/21321 weeks
113.47449 3.18235 (11*2π)/21319 weeks
12.97875 3.17174 (12*2π)/21318 weeks
13.67272 2.21522 (13*2π)/21316 weeks
141.01183 3.18191 (14*2π)/21315 weeks
15-.0671 2.70315 (15*2π)/21314 weeks
16-1.31471 3.02601 (16*2π)/21313 weeks
17-1.82211 -.48241 (17*2π)/21313 weeks
18.59617 -.26362 (18*2π)/21312 weeks
191.81322 .56942 (19*2π)/21311 weeks
20.9966 2.5242 (20*2π)/21311 weeks
21-.396 2.2061 (21*2π)/21310 weeks
22-.76498 .30374 (22*2π)/21310 weeks
23.73353 .91971 (23*2π)/2139 weeks
24.16883 1.40104 (24*2π)/2139 weeks
25-.78735 1.80468 (25*2π)/2139 weeks
26-.94228 -.38816 (26*2π)/2138 weeks
27.39042 -.02913 (27*2π)/2138 weeks
28.44023 -.13651 (28*2π)/2138 weeks
29.551 1.23738 (29*2π)/2137 weeks
30-.36816 .26649 (30*2π)/2137 weeks
31.37879 -.1044 (31*2π)/2137 weeks
321.01011 -.09846 (32*2π)/2137 weeks
331.23139 1.08307 (33*2π)/2136 weeks
34.20937 1.31873 (34*2π)/2136 weeks
35.09666 .873 (35*2π)/2136 weeks
36-.01344 .67807 (36*2π)/2136 weeks
37.49431 .5968 (37*2π)/2136 weeks
38-.1104 1.45976 (38*2π)/2136 weeks
39-1.06081 .79327 (39*2π)/2135 weeks
40-.49335 -.27204 (40*2π)/2135 weeks
41-.09399 -.81626 (41*2π)/2135 weeks
42.96569 .01233 (42*2π)/2135 weeks
43.06124 -.04845 (43*2π)/2135 weeks
44.62743 -.16039 (44*2π)/2135 weeks
45.84418 .12864 (45*2π)/2135 weeks
461.46308 .62411 (46*2π)/2135 weeks
47.52233 1.31956 (47*2π)/2135 weeks
48-.00953 1.00581 (48*2π)/2134 weeks
49-.59944 .63498 (49*2π)/2134 weeks
50.15263 -.00651 (50*2π)/2134 weeks
51-.03348 .61656 (51*2π)/2134 weeks
52-.29707 .31817 (52*2π)/2134 weeks
53-.10751 -.55944 (53*2π)/2134 weeks
54.27701 -.37086 (54*2π)/2134 weeks
551.06932 -.184 (55*2π)/2134 weeks
56.83765 .58495 (56*2π)/2134 weeks
57.52924 .37512 (57*2π)/2134 weeks
58.21709 .70521 (58*2π)/2134 weeks
59.34484 .32378 (59*2π)/2134 weeks
60.18763 .84813 (60*2π)/2134 weeks
61.00236 .41021 (61*2π)/2133 weeks
62-.50389 .25847 (62*2π)/2133 weeks
63-.06261 -.50421 (63*2π)/2133 weeks
64.46436 -.09425 (64*2π)/2133 weeks
65.48437 -.00354 (65*2π)/2133 weeks
66.34097 .04257 (66*2π)/2133 weeks
67.67938 .08994 (67*2π)/2133 weeks
68.64437 .06153 (68*2π)/2133 weeks
69.79997 .82416 (69*2π)/2133 weeks
70.03647 .78786 (70*2π)/2133 weeks
71-.13512 .70697 (71*2π)/2133 weeks
72-.20755 .10128 (72*2π)/2133 weeks
73-.25921 .2484 (73*2π)/2133 weeks
74-.40332 -.33836 (74*2π)/2133 weeks
75.22855 -.38221 (75*2π)/2133 weeks
76.47367 -.75194 (76*2π)/2133 weeks
771.04216 -.00225 (77*2π)/2133 weeks
78.7746 .43842 (78*2π)/2133 weeks
79.53031 .77483 (79*2π)/2133 weeks
80-.11589 .6841 (80*2π)/2133 weeks
81-.06206 .19473 (81*2π)/2133 weeks
82-.24869 .09967 (82*2π)/2133 weeks
83-.07816 -.09207 (83*2π)/2133 weeks
84-.11404 -.21843 (84*2π)/2133 weeks
85.16489 -.4279 (85*2π)/2133 weeks
86.61212 -.49802 (86*2π)/2132 weeks
87.61196 .06838 (87*2π)/2132 weeks
88.54705 .11013 (88*2π)/2132 weeks
89-.07289 -.1459 (89*2π)/2132 weeks
90.94843 -.33506 (90*2π)/2132 weeks
91.7159 .43915 (91*2π)/2132 weeks
92.59254 .47678 (92*2π)/2132 weeks
93.0238 .41887 (93*2π)/2132 weeks
94.35452 .11501 (94*2π)/2132 weeks
95.11566 .40599 (95*2π)/2132 weeks
96-.00682 .42038 (96*2π)/2132 weeks
97-.47358 -.08949 (97*2π)/2132 weeks
98-.1681 -.60965 (98*2π)/2132 weeks
99.56714 -.76534 (99*2π)/2132 weeks
100.81196 -.04129 (100*2π)/2132 weeks
101.68593 .24483 (101*2π)/2132 weeks
102.24027 .23906 (102*2π)/2132 weeks
103.36432 -.26649 (103*2π)/2132 weeks
104.51324 .33864 (104*2π)/2132 weeks
105.29259 .46755 (105*2π)/2132 weeks
106-.1664 .39708 (106*2π)/2132 weeks
107-.1664 -.39708 (107*2π)/2132 weeks
108.29259 -.46755 (108*2π)/2132 weeks
109.51324 -.33864 (109*2π)/2132 weeks
110.36432 .26649 (110*2π)/2132 weeks
111.24027 -.23906 (111*2π)/2132 weeks
112.68593 -.24483 (112*2π)/2132 weeks
113.81196 .04129 (113*2π)/2132 weeks
114.56714 .76534 (114*2π)/2132 weeks
115-.1681 .60965 (115*2π)/2132 weeks
116-.47358 .08949 (116*2π)/2132 weeks
117-.00682 -.42038 (117*2π)/2132 weeks
118.11566 -.40599 (118*2π)/2132 weeks
119.35452 -.11501 (119*2π)/2132 weeks
120.0238 -.41887 (120*2π)/2132 weeks
121.59254 -.47678 (121*2π)/2132 weeks
122.7159 -.43915 (122*2π)/2132 weeks
123.94843 .33506 (123*2π)/2132 weeks
124-.07289 .1459 (124*2π)/2132 weeks
125.54705 -.11013 (125*2π)/2132 weeks
126.61196 -.06838 (126*2π)/2132 weeks
127.61212 .49802 (127*2π)/2132 weeks
128.16489 .4279 (128*2π)/2132 weeks
129-.11404 .21843 (129*2π)/2132 weeks
130-.07816 .09207 (130*2π)/2132 weeks
131-.24869 -.09967 (131*2π)/2132 weeks
132-.06206 -.19473 (132*2π)/2132 weeks
133-.11589 -.6841 (133*2π)/2132 weeks
134.53031 -.77483 (134*2π)/2132 weeks
135.7746 -.43842 (135*2π)/2132 weeks
1361.04216 .00225 (136*2π)/2132 weeks
137.47367 .75194 (137*2π)/2132 weeks
138.22855 .38221 (138*2π)/2132 weeks
139-.40332 .33836 (139*2π)/2132 weeks
140-.25921 -.2484 (140*2π)/2132 weeks
141-.20755 -.10128 (141*2π)/2132 weeks
142-.13512 -.70697 (142*2π)/2132 weeks
143.03647 -.78786 (143*2π)/2131 weeks
144.79997 -.82416 (144*2π)/2131 weeks
145.64437 -.06153 (145*2π)/2131 weeks
146.67938 -.08994 (146*2π)/2131 weeks
147.34097 -.04257 (147*2π)/2131 weeks
148.48437 .00354 (148*2π)/2131 weeks
149.46436 .09425 (149*2π)/2131 weeks
150-.06261 .50421 (150*2π)/2131 weeks
151-.50389 -.25847 (151*2π)/2131 weeks
152.00236 -.41021 (152*2π)/2131 weeks
153.18763 -.84813 (153*2π)/2131 weeks
154.34484 -.32378 (154*2π)/2131 weeks
155.21709 -.70521 (155*2π)/2131 weeks
156.52924 -.37512 (156*2π)/2131 weeks
157.83765 -.58495 (157*2π)/2131 weeks
1581.06932 .184 (158*2π)/2131 weeks
159.27701 .37086 (159*2π)/2131 weeks
160-.10751 .55944 (160*2π)/2131 weeks
161-.29707 -.31817 (161*2π)/2131 weeks
162-.03348 -.61656 (162*2π)/2131 weeks
163.15263 .00651 (163*2π)/2131 weeks
164-.59944 -.63498 (164*2π)/2131 weeks
165-.00953 -1.00581 (165*2π)/2131 weeks
166.52233 -1.31956 (166*2π)/2131 weeks
1671.46308 -.62411 (167*2π)/2131 weeks
168.84418 -.12864 (168*2π)/2131 weeks
169.62743 .16039 (169*2π)/2131 weeks
170.06124 .04845 (170*2π)/2131 weeks
171.96569 -.01233 (171*2π)/2131 weeks
172-.09399 .81626 (172*2π)/2131 weeks
173-.49335 .27204 (173*2π)/2131 weeks
174-1.06081 -.79327 (174*2π)/2131 weeks
175-.1104 -1.45976 (175*2π)/2131 weeks
176.49431 -.5968 (176*2π)/2131 weeks
177-.01344 -.67807 (177*2π)/2131 weeks
178.09666 -.873 (178*2π)/2131 weeks
179.20937 -1.31873 (179*2π)/2131 weeks
1801.23139 -1.08307 (180*2π)/2131 weeks
1811.01011 .09846 (181*2π)/2131 weeks
182.37879 .1044 (182*2π)/2131 weeks
183-.36816 -.26649 (183*2π)/2131 weeks
184.551 -1.23738 (184*2π)/2131 weeks
185.44023 .13651 (185*2π)/2131 weeks
186.39042 .02913 (186*2π)/2131 weeks
187-.94228 .38816 (187*2π)/2131 weeks
188-.78735 -1.80468 (188*2π)/2131 weeks
189.16883 -1.40104 (189*2π)/2131 weeks
190.73353 -.91971 (190*2π)/2131 weeks
191-.76498 -.30374 (191*2π)/2131 weeks
192-.396 -2.2061 (192*2π)/2131 weeks
193.9966 -2.5242 (193*2π)/2131 weeks
1941.81322 -.56942 (194*2π)/2131 weeks
195.59617 .26362 (195*2π)/2131 weeks
196-1.82211 .48241 (196*2π)/2131 weeks
197-1.31471 -3.02601 (197*2π)/2131 weeks
198-.0671 -2.70315 (198*2π)/2131 weeks
1991.01183 -3.18191 (199*2π)/2131 weeks
200.67272 -2.21522 (200*2π)/2131 weeks
201.97875 -3.17174 (201*2π)/2131 weeks
2023.47449 -3.18235 (202*2π)/2131 weeks
2034.46468 -.89164 (203*2π)/2131 weeks
2042.63529 2.66795 (204*2π)/2131 weeks
205-3.09904 1.64109 (205*2π)/2131 weeks
206-.84457 -1.64513 (206*2π)/2131 weeks
207-3.9734 -1.7732 (207*2π)/2131 weeks
208-2.53734 -4.39958 (208*2π)/2131 weeks
209-6.17829 -6.78481 (209*2π)/2131 weeks
210-4.0841 -11.83694 (210*2π)/2131 weeks
2113.11121 -23.9746 (211*2π)/2131 weeks

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