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Fourier Analysis of ECIG (ELECTRONIC CIG INTL)


ECIG (ELECTRONIC CIG INTL) appears to have interesting cyclic behaviour every 18 weeks (16.6451*cosine), 20 weeks (14.387*sine), and 16 weeks (11.9631*cosine).

ECIG (ELECTRONIC CIG INTL) has an average price of 48.37 (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 6/12/2013 to 3/13/2017 for ECIG (ELECTRONIC CIG INTL), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
048.36829   0 
132.89267 76.27842 (1*2π)/197197 weeks
2-32.23578 39.93446 (2*2π)/19799 weeks
3-19.55236 3.36161 (3*2π)/19766 weeks
4-11.66051 5.63476 (4*2π)/19749 weeks
5-13.40761 -.75885 (5*2π)/19739 weeks
6-8.21453 -1.87411 (6*2π)/19733 weeks
7-12.65343 -3.0772 (7*2π)/19728 weeks
8-10.19645 -13.82862 (8*2π)/19725 weeks
9.37196 -17.0167 (9*2π)/19722 weeks
109.83542 -14.38698 (10*2π)/19720 weeks
1116.64508 -4.44124 (11*2π)/19718 weeks
1211.96313 5.57459 (12*2π)/19716 weeks
136.59639 6.20423 (13*2π)/19715 weeks
145.50784 8.06186 (14*2π)/19714 weeks
15.65959 10.57573 (15*2π)/19713 weeks
16-4.68614 8.75092 (16*2π)/19712 weeks
17-7.90229 4.72812 (17*2π)/19712 weeks
18-7.90978 -.48962 (18*2π)/19711 weeks
19-4.9271 -3.00231 (19*2π)/19710 weeks
20-3.55108 -3.617 (20*2π)/19710 weeks
21-1.40552 -4.92766 (21*2π)/1979 weeks
22.7069 -3.87648 (22*2π)/1979 weeks
231.15944 -3.89604 (23*2π)/1979 weeks
243.95032 -3.49216 (24*2π)/1978 weeks
254.9012 -.0567 (25*2π)/1978 weeks
263.39962 1.62716 (26*2π)/1978 weeks
272.60546 2.62854 (27*2π)/1977 weeks
28.51606 3.42477 (28*2π)/1977 weeks
29-.81868 1.74477 (29*2π)/1977 weeks
30.34198 1.30457 (30*2π)/1977 weeks
31-.1567 2.70109 (31*2π)/1976 weeks
32-1.96761 2.65793 (32*2π)/1976 weeks
33-3.40082 1.4557 (33*2π)/1976 weeks
34-3.94026 -.77404 (34*2π)/1976 weeks
35-2.65971 -2.77144 (35*2π)/1976 weeks
36-.98784 -3.2952 (36*2π)/1975 weeks
37.28202 -3.62633 (37*2π)/1975 weeks
382.58104 -3.50945 (38*2π)/1975 weeks
394.33583 -.89632 (39*2π)/1975 weeks
402.97944 1.59098 (40*2π)/1975 weeks
411.47517 1.42526 (41*2π)/1975 weeks
421.87249 1.35995 (42*2π)/1975 weeks
431.72714 3.02339 (43*2π)/1975 weeks
44-.60628 4.2118 (44*2π)/1974 weeks
45-3.32483 2.84154 (45*2π)/1974 weeks
46-3.82414 .0094 (46*2π)/1974 weeks
47-2.47204 -1.61229 (47*2π)/1974 weeks
48-1.34244 -1.9918 (48*2π)/1974 weeks
49-.48531 -2.17571 (49*2π)/1974 weeks
50.39076 -2.30386 (50*2π)/1974 weeks
511.90941 -2.01022 (51*2π)/1974 weeks
522.85405 .21025 (52*2π)/1974 weeks
53.76267 2.01254 (53*2π)/1974 weeks
54-1.18959 .29354 (54*2π)/1974 weeks
55.33654 -1.48514 (55*2π)/1974 weeks
562.00432 -.17884 (56*2π)/1974 weeks
571.23231 1.26344 (57*2π)/1973 weeks
58.50254 1.1002 (58*2π)/1973 weeks
59.60219 1.42157 (59*2π)/1973 weeks
60-.41697 2.19013 (60*2π)/1973 weeks
61-1.87728 1.33367 (61*2π)/1973 weeks
62-1.72462 .05456 (62*2π)/1973 weeks
63-1.50869 -.16012 (63*2π)/1973 weeks
64-1.7556 -.8669 (64*2π)/1973 weeks
65-1.24726 -1.8616 (65*2π)/1973 weeks
66-.24648 -2.53406 (66*2π)/1973 weeks
671.41642 -2.65081 (67*2π)/1973 weeks
683.01742 -1.1577 (68*2π)/1973 weeks
692.67945 1.08398 (69*2π)/1973 weeks
701.05856 1.82741 (70*2π)/1973 weeks
71.13213 1.3783 (71*2π)/1973 weeks
72-.08824 1.0232 (72*2π)/1973 weeks
73-.2975 .96367 (73*2π)/1973 weeks
74-.6797 .68112 (74*2π)/1973 weeks
75-.62814 .20857 (75*2π)/1973 weeks
76-.43191 .14118 (76*2π)/1973 weeks
77-.3688 .15154 (77*2π)/1973 weeks
78-.49894 .45337 (78*2π)/1973 weeks
79-1.41668 .24289 (79*2π)/1972 weeks
80-1.59336 -1.24999 (80*2π)/1972 weeks
81-.18474 -2.06805 (81*2π)/1972 weeks
82.81967 -1.53359 (82*2π)/1972 weeks
831.36257 -1.20896 (83*2π)/1972 weeks
842.15627 -.1307 (84*2π)/1972 weeks
851.2085 1.34168 (85*2π)/1972 weeks
86-.11106 .65208 (86*2π)/1972 weeks
87.75568 -.16685 (87*2π)/1972 weeks
881.49372 1.16181 (88*2π)/1972 weeks
89.12195 2.41106 (89*2π)/1972 weeks
90-1.60211 1.86904 (90*2π)/1972 weeks
91-2.338 .40323 (91*2π)/1972 weeks
92-1.80371 -1.0961 (92*2π)/1972 weeks
93-.5818 -1.41175 (93*2π)/1972 weeks
94-.21638 -1.03011 (94*2π)/1972 weeks
95-.10586 -1.36257 (95*2π)/1972 weeks
96.93041 -1.48489 (96*2π)/1972 weeks
971.52965 -.36138 (97*2π)/1972 weeks
98.8014 .23856 (98*2π)/1972 weeks
99.8014 -.23856 (99*2π)/1972 weeks
1001.52965 .36138 (100*2π)/1972 weeks
101.93041 1.48489 (101*2π)/1972 weeks
102-.10586 1.36257 (102*2π)/1972 weeks
103-.21638 1.03011 (103*2π)/1972 weeks
104-.5818 1.41175 (104*2π)/1972 weeks
105-1.80371 1.0961 (105*2π)/1972 weeks
106-2.338 -.40323 (106*2π)/1972 weeks
107-1.60211 -1.86904 (107*2π)/1972 weeks
108.12195 -2.41106 (108*2π)/1972 weeks
1091.49372 -1.16181 (109*2π)/1972 weeks
110.75568 .16685 (110*2π)/1972 weeks
111-.11106 -.65208 (111*2π)/1972 weeks
1121.2085 -1.34168 (112*2π)/1972 weeks
1132.15627 .1307 (113*2π)/1972 weeks
1141.36257 1.20896 (114*2π)/1972 weeks
115.81967 1.53359 (115*2π)/1972 weeks
116-.18474 2.06805 (116*2π)/1972 weeks
117-1.59336 1.24999 (117*2π)/1972 weeks
118-1.41668 -.24289 (118*2π)/1972 weeks
119-.49894 -.45337 (119*2π)/1972 weeks
120-.3688 -.15154 (120*2π)/1972 weeks
121-.43191 -.14118 (121*2π)/1972 weeks
122-.62814 -.20857 (122*2π)/1972 weeks
123-.6797 -.68112 (123*2π)/1972 weeks
124-.2975 -.96367 (124*2π)/1972 weeks
125-.08824 -1.0232 (125*2π)/1972 weeks
126.13213 -1.3783 (126*2π)/1972 weeks
1271.05856 -1.82741 (127*2π)/1972 weeks
1282.67945 -1.08398 (128*2π)/1972 weeks
1293.01742 1.1577 (129*2π)/1972 weeks
1301.41642 2.65081 (130*2π)/1972 weeks
131-.24648 2.53406 (131*2π)/1972 weeks
132-1.24726 1.8616 (132*2π)/1971 weeks
133-1.7556 .8669 (133*2π)/1971 weeks
134-1.50869 .16012 (134*2π)/1971 weeks
135-1.72462 -.05456 (135*2π)/1971 weeks
136-1.87728 -1.33367 (136*2π)/1971 weeks
137-.41697 -2.19013 (137*2π)/1971 weeks
138.60219 -1.42157 (138*2π)/1971 weeks
139.50254 -1.1002 (139*2π)/1971 weeks
1401.23231 -1.26344 (140*2π)/1971 weeks
1412.00432 .17884 (141*2π)/1971 weeks
142.33654 1.48514 (142*2π)/1971 weeks
143-1.18959 -.29354 (143*2π)/1971 weeks
144.76267 -2.01254 (144*2π)/1971 weeks
1452.85405 -.21025 (145*2π)/1971 weeks
1461.90941 2.01022 (146*2π)/1971 weeks
147.39076 2.30386 (147*2π)/1971 weeks
148-.48531 2.17571 (148*2π)/1971 weeks
149-1.34244 1.9918 (149*2π)/1971 weeks
150-2.47204 1.61229 (150*2π)/1971 weeks
151-3.82414 -.0094 (151*2π)/1971 weeks
152-3.32483 -2.84154 (152*2π)/1971 weeks
153-.60628 -4.2118 (153*2π)/1971 weeks
1541.72714 -3.02339 (154*2π)/1971 weeks
1551.87249 -1.35995 (155*2π)/1971 weeks
1561.47517 -1.42526 (156*2π)/1971 weeks
1572.97944 -1.59098 (157*2π)/1971 weeks
1584.33583 .89632 (158*2π)/1971 weeks
1592.58104 3.50945 (159*2π)/1971 weeks
160.28202 3.62633 (160*2π)/1971 weeks
161-.98784 3.2952 (161*2π)/1971 weeks
162-2.65971 2.77144 (162*2π)/1971 weeks
163-3.94026 .77404 (163*2π)/1971 weeks
164-3.40082 -1.4557 (164*2π)/1971 weeks
165-1.96761 -2.65793 (165*2π)/1971 weeks
166-.1567 -2.70109 (166*2π)/1971 weeks
167.34198 -1.30457 (167*2π)/1971 weeks
168-.81868 -1.74477 (168*2π)/1971 weeks
169.51606 -3.42477 (169*2π)/1971 weeks
1702.60546 -2.62854 (170*2π)/1971 weeks
1713.39962 -1.62716 (171*2π)/1971 weeks
1724.9012 .0567 (172*2π)/1971 weeks
1733.95032 3.49216 (173*2π)/1971 weeks
1741.15944 3.89604 (174*2π)/1971 weeks
175.7069 3.87648 (175*2π)/1971 weeks
176-1.40552 4.92766 (176*2π)/1971 weeks
177-3.55108 3.617 (177*2π)/1971 weeks
178-4.9271 3.00231 (178*2π)/1971 weeks
179-7.90978 .48962 (179*2π)/1971 weeks
180-7.90229 -4.72812 (180*2π)/1971 weeks
181-4.68614 -8.75092 (181*2π)/1971 weeks
182.65959 -10.57573 (182*2π)/1971 weeks
1835.50784 -8.06186 (183*2π)/1971 weeks
1846.59639 -6.20423 (184*2π)/1971 weeks
18511.96313 -5.57459 (185*2π)/1971 weeks
18616.64508 4.44124 (186*2π)/1971 weeks
1879.83542 14.38698 (187*2π)/1971 weeks
188.37196 17.0167 (188*2π)/1971 weeks
189-10.19645 13.82862 (189*2π)/1971 weeks
190-12.65343 3.0772 (190*2π)/1971 weeks
191-8.21453 1.87411 (191*2π)/1971 weeks
192-13.40761 .75885 (192*2π)/1971 weeks
193-11.66051 -5.63476 (193*2π)/1971 weeks
194-19.55236 -3.36161 (194*2π)/1971 weeks
195-32.23578 -39.93446 (195*2π)/1971 weeks

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