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Fourier Analysis of ATASY (ATLANTIA SPA ADR)


ATASY (ATLANTIA SPA ADR) appears to have interesting cyclic behaviour every 20 weeks (.1996*sine), 28 weeks (.18*sine), and 24 weeks (.1733*sine).

ATASY (ATLANTIA SPA ADR) has an average price of 9.18 (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 1/20/2010 to 11/28/2016 for ATASY (ATLANTIA SPA ADR), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
09.17994   0 
11.00765 -3.31704 (1*2π)/359359 weeks
2-.03516 -.09231 (2*2π)/359180 weeks
3-.24304 -.61974 (3*2π)/359120 weeks
4-.36763 -.46735 (4*2π)/35990 weeks
5.32692 -.2478 (5*2π)/35972 weeks
6-.00518 -.35962 (6*2π)/35960 weeks
7.04817 .11256 (7*2π)/35951 weeks
8-.16686 .13343 (8*2π)/35945 weeks
9-.13128 -.36347 (9*2π)/35940 weeks
10-.024 .043 (10*2π)/35936 weeks
11.06881 .0696 (11*2π)/35933 weeks
12-.08329 -.11831 (12*2π)/35930 weeks
13-.13827 -.18005 (13*2π)/35928 weeks
14-.15511 -.13853 (14*2π)/35926 weeks
15-.13288 -.17331 (15*2π)/35924 weeks
16-.06524 -.04819 (16*2π)/35922 weeks
17-.03096 -.03907 (17*2π)/35921 weeks
18-.0709 -.19962 (18*2π)/35920 weeks
19.02044 .0209 (19*2π)/35919 weeks
20.02761 -.04927 (20*2π)/35918 weeks
21.03348 .04688 (21*2π)/35917 weeks
22.03051 -.02133 (22*2π)/35916 weeks
23.04224 -.07963 (23*2π)/35916 weeks
24-.02426 .01739 (24*2π)/35915 weeks
25.08899 -.06293 (25*2π)/35914 weeks
26-.00955 -.04143 (26*2π)/35914 weeks
27.03808 -.01032 (27*2π)/35913 weeks
28.00762 .01935 (28*2π)/35913 weeks
29-.04049 .01574 (29*2π)/35912 weeks
30-.04176 .03015 (30*2π)/35912 weeks
31.0258 -.14689 (31*2π)/35912 weeks
32-.11841 -.06203 (32*2π)/35911 weeks
33.00474 -.01226 (33*2π)/35911 weeks
34.0096 -.03987 (34*2π)/35911 weeks
35.02381 -.0854 (35*2π)/35910 weeks
36.04075 .00622 (36*2π)/35910 weeks
37.07444 .00153 (37*2π)/35910 weeks
38-.01255 -.0274 (38*2π)/3599 weeks
39.0352 .00644 (39*2π)/3599 weeks
40.04911 .01957 (40*2π)/3599 weeks
41.03622 .01676 (41*2π)/3599 weeks
42.00428 -.01249 (42*2π)/3599 weeks
43.03476 .01248 (43*2π)/3598 weeks
44-.01567 .01526 (44*2π)/3598 weeks
45-.03399 .0401 (45*2π)/3598 weeks
46-.03563 .03425 (46*2π)/3598 weeks
47.0124 .02243 (47*2π)/3598 weeks
48-.02162 .02677 (48*2π)/3597 weeks
49.00675 -.00128 (49*2π)/3597 weeks
50-.02131 -.07409 (50*2π)/3597 weeks
51.00871 -.00997 (51*2π)/3597 weeks
52.00587 -.02911 (52*2π)/3597 weeks
53-.05204 -.04377 (53*2π)/3597 weeks
54.00787 -.04295 (54*2π)/3597 weeks
55.04393 -.01971 (55*2π)/3597 weeks
56.01967 -.03041 (56*2π)/3596 weeks
57.0517 -.00871 (57*2π)/3596 weeks
58.00915 -.06645 (58*2π)/3596 weeks
59-.0012 -.05359 (59*2π)/3596 weeks
60.01798 -.02157 (60*2π)/3596 weeks
61.02164 .01062 (61*2π)/3596 weeks
62.00729 -.04305 (62*2π)/3596 weeks
63.01075 .03283 (63*2π)/3596 weeks
64.04532 -.0029 (64*2π)/3596 weeks
65.02816 -.01288 (65*2π)/3596 weeks
66.04604 -.03075 (66*2π)/3595 weeks
67.03337 -.04113 (67*2π)/3595 weeks
68.04042 -.00683 (68*2π)/3595 weeks
69.01001 -.04032 (69*2π)/3595 weeks
70.00542 .00713 (70*2π)/3595 weeks
71.00512 .01066 (71*2π)/3595 weeks
72.0255 -.00173 (72*2π)/3595 weeks
73.02729 -.00393 (73*2π)/3595 weeks
74.00663 -.00681 (74*2π)/3595 weeks
75.02407 -.02581 (75*2π)/3595 weeks
76.00588 .01977 (76*2π)/3595 weeks
77.00351 .01892 (77*2π)/3595 weeks
78-.00549 .04756 (78*2π)/3595 weeks
79-.01693 .0266 (79*2π)/3595 weeks
80-.03827 .00315 (80*2π)/3594 weeks
81.00563 -.02835 (81*2π)/3594 weeks
82.01346 -.05788 (82*2π)/3594 weeks
83-.06756 -.00934 (83*2π)/3594 weeks
84-.0151 -.01391 (84*2π)/3594 weeks
85-.0052 -.05052 (85*2π)/3594 weeks
86-.04835 -.04165 (86*2π)/3594 weeks
87-.02993 -.00481 (87*2π)/3594 weeks
88.00524 -.05157 (88*2π)/3594 weeks
89-.02018 -.03683 (89*2π)/3594 weeks
90-.00553 -.03275 (90*2π)/3594 weeks
91.0239 -.04818 (91*2π)/3594 weeks
92.05544 .01066 (92*2π)/3594 weeks
93.02542 .00442 (93*2π)/3594 weeks
94.01486 -.00382 (94*2π)/3594 weeks
95.0126 -.01886 (95*2π)/3594 weeks
96.03511 -.02306 (96*2π)/3594 weeks
97.00402 .02348 (97*2π)/3594 weeks
98.02374 .02876 (98*2π)/3594 weeks
99.01078 .01574 (99*2π)/3594 weeks
100.00391 .02667 (100*2π)/3594 weeks
101.00308 .00832 (101*2π)/3594 weeks
102.03008 .0101 (102*2π)/3594 weeks
103-.01977 .00021 (103*2π)/3593 weeks
104.02184 .00846 (104*2π)/3593 weeks
105.00289 -.005 (105*2π)/3593 weeks
106-.01114 .01936 (106*2π)/3593 weeks
107.00398 .04698 (107*2π)/3593 weeks
108-.02024 .00429 (108*2π)/3593 weeks
109-.00899 .00453 (109*2π)/3593 weeks
110.01246 .01278 (110*2π)/3593 weeks
111-.01791 .01242 (111*2π)/3593 weeks
112.00498 .02019 (112*2π)/3593 weeks
113-.03384 -.01442 (113*2π)/3593 weeks
114-.01178 .01224 (114*2π)/3593 weeks
115-.0164 .0011 (115*2π)/3593 weeks
116-.03103 -.0079 (116*2π)/3593 weeks
117-.04385 -.014 (117*2π)/3593 weeks
118-.03735 .00196 (118*2π)/3593 weeks
119-.012 -.01549 (119*2π)/3593 weeks
120-.02842 -.02569 (120*2π)/3593 weeks
121-.02566 -.01806 (121*2π)/3593 weeks
122-.01112 .00128 (122*2π)/3593 weeks
123-.00021 -.02352 (123*2π)/3593 weeks
124-.00176 -.02868 (124*2π)/3593 weeks
125.01594 -.00508 (125*2π)/3593 weeks
126-.00132 .01463 (126*2π)/3593 weeks
127-.00283 .00629 (127*2π)/3593 weeks
128.01087 -.0273 (128*2π)/3593 weeks
129-.00389 -.00503 (129*2π)/3593 weeks
130.00814 .01322 (130*2π)/3593 weeks
131.01149 .01648 (131*2π)/3593 weeks
132.01555 -.00373 (132*2π)/3593 weeks
133.00076 .02263 (133*2π)/3593 weeks
134-.00499 .02778 (134*2π)/3593 weeks
135-.02022 .02931 (135*2π)/3593 weeks
136-.00292 .01539 (136*2π)/3593 weeks
137-.00581 .00528 (137*2π)/3593 weeks
138-.02122 .01056 (138*2π)/3593 weeks
139-.01188 .01283 (139*2π)/3593 weeks
140-.0053 -.00395 (140*2π)/3593 weeks
141.00503 -.00083 (141*2π)/3593 weeks
142-.01423 .01501 (142*2π)/3593 weeks
143-.0261 .02804 (143*2π)/3593 weeks
144-.02266 .02276 (144*2π)/3592 weeks
145-.02939 .0113 (145*2π)/3592 weeks
146-.01393 -.01891 (146*2π)/3592 weeks
147-.02153 -.00648 (147*2π)/3592 weeks
148-.016 .0142 (148*2π)/3592 weeks
149-.04698 .00824 (149*2π)/3592 weeks
150-.0251 -.01103 (150*2π)/3592 weeks
151-.03647 -.00482 (151*2π)/3592 weeks
152-.02035 -.0035 (152*2π)/3592 weeks
153-.04448 -.0148 (153*2π)/3592 weeks
154-.02832 -.02011 (154*2π)/3592 weeks
155-.01323 -.02071 (155*2π)/3592 weeks
156.00258 -.00764 (156*2π)/3592 weeks
157-.01723 -.03395 (157*2π)/3592 weeks
158.00013 -.05621 (158*2π)/3592 weeks
159.01086 -.02447 (159*2π)/3592 weeks
160-.0051 .00083 (160*2π)/3592 weeks
161.01454 -.02106 (161*2π)/3592 weeks
162.01883 -.01891 (162*2π)/3592 weeks
163.0369 .0022 (163*2π)/3592 weeks
164-.00754 .01304 (164*2π)/3592 weeks
165-.03382 .01165 (165*2π)/3592 weeks
166.00174 .02343 (166*2π)/3592 weeks
167.02161 -.00246 (167*2π)/3592 weeks
168.00269 .0343 (168*2π)/3592 weeks
169-.00941 .04482 (169*2π)/3592 weeks
170-.00465 .02821 (170*2π)/3592 weeks
171.00778 .02761 (171*2π)/3592 weeks
172-.00786 -.00754 (172*2π)/3592 weeks
173-.01224 .01343 (173*2π)/3592 weeks
174-.03836 .01553 (174*2π)/3592 weeks
175-.01728 -.02588 (175*2π)/3592 weeks
176-.02905 -.00603 (176*2π)/3592 weeks
177-.02959 .01077 (177*2π)/3592 weeks
178-.04776 .00098 (178*2π)/3592 weeks
179-.02208 .01028 (179*2π)/3592 weeks
180-.02208 -.01028 (180*2π)/3592 weeks
181-.04776 -.00098 (181*2π)/3592 weeks
182-.02959 -.01077 (182*2π)/3592 weeks
183-.02905 .00603 (183*2π)/3592 weeks
184-.01728 .02588 (184*2π)/3592 weeks
185-.03836 -.01553 (185*2π)/3592 weeks
186-.01224 -.01343 (186*2π)/3592 weeks
187-.00786 .00754 (187*2π)/3592 weeks
188.00778 -.02761 (188*2π)/3592 weeks
189-.00465 -.02821 (189*2π)/3592 weeks
190-.00941 -.04482 (190*2π)/3592 weeks
191.00269 -.0343 (191*2π)/3592 weeks
192.02161 .00246 (192*2π)/3592 weeks
193.00174 -.02343 (193*2π)/3592 weeks
194-.03382 -.01165 (194*2π)/3592 weeks
195-.00754 -.01304 (195*2π)/3592 weeks
196.0369 -.0022 (196*2π)/3592 weeks
197.01883 .01891 (197*2π)/3592 weeks
198.01454 .02106 (198*2π)/3592 weeks
199-.0051 -.00083 (199*2π)/3592 weeks
200.01086 .02447 (200*2π)/3592 weeks
201.00013 .05621 (201*2π)/3592 weeks
202-.01723 .03395 (202*2π)/3592 weeks
203.00258 .00764 (203*2π)/3592 weeks
204-.01323 .02071 (204*2π)/3592 weeks
205-.02832 .02011 (205*2π)/3592 weeks
206-.04448 .0148 (206*2π)/3592 weeks
207-.02035 .0035 (207*2π)/3592 weeks
208-.03647 .00482 (208*2π)/3592 weeks
209-.0251 .01103 (209*2π)/3592 weeks
210-.04698 -.00824 (210*2π)/3592 weeks
211-.016 -.0142 (211*2π)/3592 weeks
212-.02153 .00648 (212*2π)/3592 weeks
213-.01393 .01891 (213*2π)/3592 weeks
214-.02939 -.0113 (214*2π)/3592 weeks
215-.02266 -.02276 (215*2π)/3592 weeks
216-.0261 -.02804 (216*2π)/3592 weeks
217-.01423 -.01501 (217*2π)/3592 weeks
218.00503 .00083 (218*2π)/3592 weeks
219-.0053 .00395 (219*2π)/3592 weeks
220-.01188 -.01283 (220*2π)/3592 weeks
221-.02122 -.01056 (221*2π)/3592 weeks
222-.00581 -.00528 (222*2π)/3592 weeks
223-.00292 -.01539 (223*2π)/3592 weeks
224-.02022 -.02931 (224*2π)/3592 weeks
225-.00499 -.02778 (225*2π)/3592 weeks
226.00076 -.02263 (226*2π)/3592 weeks
227.01555 .00373 (227*2π)/3592 weeks
228.01149 -.01648 (228*2π)/3592 weeks
229.00814 -.01322 (229*2π)/3592 weeks
230-.00389 .00503 (230*2π)/3592 weeks
231.01087 .0273 (231*2π)/3592 weeks
232-.00283 -.00629 (232*2π)/3592 weeks
233-.00132 -.01463 (233*2π)/3592 weeks
234.01594 .00508 (234*2π)/3592 weeks
235-.00176 .02868 (235*2π)/3592 weeks
236-.00021 .02352 (236*2π)/3592 weeks
237-.01112 -.00128 (237*2π)/3592 weeks
238-.02566 .01806 (238*2π)/3592 weeks
239-.02842 .02569 (239*2π)/3592 weeks
240-.012 .01549 (240*2π)/3591 weeks
241-.03735 -.00196 (241*2π)/3591 weeks
242-.04385 .014 (242*2π)/3591 weeks
243-.03103 .0079 (243*2π)/3591 weeks
244-.0164 -.0011 (244*2π)/3591 weeks
245-.01178 -.01224 (245*2π)/3591 weeks
246-.03384 .01442 (246*2π)/3591 weeks
247.00498 -.02019 (247*2π)/3591 weeks
248-.01791 -.01242 (248*2π)/3591 weeks
249.01246 -.01278 (249*2π)/3591 weeks
250-.00899 -.00453 (250*2π)/3591 weeks
251-.02024 -.00429 (251*2π)/3591 weeks
252.00398 -.04698 (252*2π)/3591 weeks
253-.01114 -.01936 (253*2π)/3591 weeks
254.00289 .005 (254*2π)/3591 weeks
255.02184 -.00846 (255*2π)/3591 weeks
256-.01977 -.00021 (256*2π)/3591 weeks
257.03008 -.0101 (257*2π)/3591 weeks
258.00308 -.00832 (258*2π)/3591 weeks
259.00391 -.02667 (259*2π)/3591 weeks
260.01078 -.01574 (260*2π)/3591 weeks
261.02374 -.02876 (261*2π)/3591 weeks
262.00402 -.02348 (262*2π)/3591 weeks
263.03511 .02306 (263*2π)/3591 weeks
264.0126 .01886 (264*2π)/3591 weeks
265.01486 .00382 (265*2π)/3591 weeks
266.02542 -.00442 (266*2π)/3591 weeks
267.05544 -.01066 (267*2π)/3591 weeks
268.0239 .04818 (268*2π)/3591 weeks
269-.00553 .03275 (269*2π)/3591 weeks
270-.02018 .03683 (270*2π)/3591 weeks
271.00524 .05157 (271*2π)/3591 weeks
272-.02993 .00481 (272*2π)/3591 weeks
273-.04835 .04165 (273*2π)/3591 weeks
274-.0052 .05052 (274*2π)/3591 weeks
275-.0151 .01391 (275*2π)/3591 weeks
276-.06756 .00934 (276*2π)/3591 weeks
277.01346 .05788 (277*2π)/3591 weeks
278.00563 .02835 (278*2π)/3591 weeks
279-.03827 -.00315 (279*2π)/3591 weeks
280-.01693 -.0266 (280*2π)/3591 weeks
281-.00549 -.04756 (281*2π)/3591 weeks
282.00351 -.01892 (282*2π)/3591 weeks
283.00588 -.01977 (283*2π)/3591 weeks
284.02407 .02581 (284*2π)/3591 weeks
285.00663 .00681 (285*2π)/3591 weeks
286.02729 .00393 (286*2π)/3591 weeks
287.0255 .00173 (287*2π)/3591 weeks
288.00512 -.01066 (288*2π)/3591 weeks
289.00542 -.00713 (289*2π)/3591 weeks
290.01001 .04032 (290*2π)/3591 weeks
291.04042 .00683 (291*2π)/3591 weeks
292.03337 .04113 (292*2π)/3591 weeks
293.04604 .03075 (293*2π)/3591 weeks
294.02816 .01288 (294*2π)/3591 weeks
295.04532 .0029 (295*2π)/3591 weeks
296.01075 -.03283 (296*2π)/3591 weeks
297.00729 .04305 (297*2π)/3591 weeks
298.02164 -.01062 (298*2π)/3591 weeks
299.01798 .02157 (299*2π)/3591 weeks
300-.0012 .05359 (300*2π)/3591 weeks
301.00915 .06645 (301*2π)/3591 weeks
302.0517 .00871 (302*2π)/3591 weeks
303.01967 .03041 (303*2π)/3591 weeks
304.04393 .01971 (304*2π)/3591 weeks
305.00787 .04295 (305*2π)/3591 weeks
306-.05204 .04377 (306*2π)/3591 weeks
307.00587 .02911 (307*2π)/3591 weeks
308.00871 .00997 (308*2π)/3591 weeks
309-.02131 .07409 (309*2π)/3591 weeks
310.00675 .00128 (310*2π)/3591 weeks
311-.02162 -.02677 (311*2π)/3591 weeks
312.0124 -.02243 (312*2π)/3591 weeks
313-.03563 -.03425 (313*2π)/3591 weeks
314-.03399 -.0401 (314*2π)/3591 weeks
315-.01567 -.01526 (315*2π)/3591 weeks
316.03476 -.01248 (316*2π)/3591 weeks
317.00428 .01249 (317*2π)/3591 weeks
318.03622 -.01676 (318*2π)/3591 weeks
319.04911 -.01957 (319*2π)/3591 weeks
320.0352 -.00644 (320*2π)/3591 weeks
321-.01255 .0274 (321*2π)/3591 weeks
322.07444 -.00153 (322*2π)/3591 weeks
323.04075 -.00622 (323*2π)/3591 weeks
324.02381 .0854 (324*2π)/3591 weeks
325.0096 .03987 (325*2π)/3591 weeks
326.00474 .01226 (326*2π)/3591 weeks
327-.11841 .06203 (327*2π)/3591 weeks
328.0258 .14689 (328*2π)/3591 weeks
329-.04176 -.03015 (329*2π)/3591 weeks
330-.04049 -.01574 (330*2π)/3591 weeks
331.00762 -.01935 (331*2π)/3591 weeks
332.03808 .01032 (332*2π)/3591 weeks
333-.00955 .04143 (333*2π)/3591 weeks
334.08899 .06293 (334*2π)/3591 weeks
335-.02426 -.01739 (335*2π)/3591 weeks
336.04224 .07963 (336*2π)/3591 weeks
337.03051 .02133 (337*2π)/3591 weeks
338.03348 -.04688 (338*2π)/3591 weeks
339.02761 .04927 (339*2π)/3591 weeks
340.02044 -.0209 (340*2π)/3591 weeks
341-.0709 .19962 (341*2π)/3591 weeks
342-.03096 .03907 (342*2π)/3591 weeks
343-.06524 .04819 (343*2π)/3591 weeks
344-.13288 .17331 (344*2π)/3591 weeks
345-.15511 .13853 (345*2π)/3591 weeks
346-.13827 .18005 (346*2π)/3591 weeks
347-.08329 .11831 (347*2π)/3591 weeks
348.06881 -.0696 (348*2π)/3591 weeks
349-.024 -.043 (349*2π)/3591 weeks
350-.13128 .36347 (350*2π)/3591 weeks
351-.16686 -.13343 (351*2π)/3591 weeks
352.04817 -.11256 (352*2π)/3591 weeks
353-.00518 .35962 (353*2π)/3591 weeks
354.32692 .2478 (354*2π)/3591 weeks
355-.36763 .46735 (355*2π)/3591 weeks
356-.24304 .61974 (356*2π)/3591 weeks
357-.03516 .09231 (357*2π)/3591 weeks

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