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Fourier Analysis of LENS (Presbia PLC)


LENS (Presbia PLC) appears to have interesting cyclic behaviour every 8 weeks (.2087*cosine), 6 weeks (.1972*cosine), and 6 weeks (.158*sine).

LENS (Presbia PLC) has an average price of 5.29 (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 1/29/2015 to 3/20/2017 for LENS (Presbia PLC), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
05.2921   0 
1.51095 1.57041 (1*2π)/113113 weeks
2-.31585 1.10695 (2*2π)/11357 weeks
3-.23141 .60277 (3*2π)/11338 weeks
4-.11602 .03622 (4*2π)/11328 weeks
5-.06148 .32952 (5*2π)/11323 weeks
6-.03515 .15312 (6*2π)/11319 weeks
7.27256 .06429 (7*2π)/11316 weeks
8-.02666 .40376 (8*2π)/11314 weeks
9-.15117 .01564 (9*2π)/11313 weeks
10.00314 .09133 (10*2π)/11311 weeks
11-.09345 -.07648 (11*2π)/11310 weeks
12.00543 .18704 (12*2π)/1139 weeks
13.11008 .07721 (13*2π)/1139 weeks
14-.07818 -.04096 (14*2π)/1138 weeks
15.20869 -.09105 (15*2π)/1138 weeks
16.01939 .14154 (16*2π)/1137 weeks
17-.01368 .00866 (17*2π)/1137 weeks
18.19715 .15804 (18*2π)/1136 weeks
19-.0823 .07101 (19*2π)/1136 weeks
20.05124 .03256 (20*2π)/1136 weeks
21.04906 .01656 (21*2π)/1135 weeks
22.10955 .04548 (22*2π)/1135 weeks
23.01714 .0399 (23*2π)/1135 weeks
24.03796 .05361 (24*2π)/1135 weeks
25.01053 .03051 (25*2π)/1135 weeks
26.05746 .09096 (26*2π)/1134 weeks
27-.07337 .02519 (27*2π)/1134 weeks
28.08223 -.03706 (28*2π)/1134 weeks
29-.01324 .06817 (29*2π)/1134 weeks
30.07436 -.07172 (30*2π)/1134 weeks
31.01021 .02237 (31*2π)/1134 weeks
32.06394 .04423 (32*2π)/1134 weeks
33.01698 -.00146 (33*2π)/1133 weeks
34.11063 .00753 (34*2π)/1133 weeks
35.0566 .12457 (35*2π)/1133 weeks
36.02882 -.04627 (36*2π)/1133 weeks
37.01403 .09678 (37*2π)/1133 weeks
38.05598 -.01514 (38*2π)/1133 weeks
39.05493 .06547 (39*2π)/1133 weeks
40.04073 .03395 (40*2π)/1133 weeks
41.02042 .04978 (41*2π)/1133 weeks
42.02702 .02209 (42*2π)/1133 weeks
43-.00511 -.00138 (43*2π)/1133 weeks
44.06073 .04949 (44*2π)/1133 weeks
45.02492 .09613 (45*2π)/1133 weeks
46-.03166 -.02776 (46*2π)/1132 weeks
47.03704 .00127 (47*2π)/1132 weeks
48.00203 .03488 (48*2π)/1132 weeks
49.02941 .02129 (49*2π)/1132 weeks
50-.00529 -.01562 (50*2π)/1132 weeks
51.07665 .02444 (51*2π)/1132 weeks
52.00621 .04365 (52*2π)/1132 weeks
53-.0011 .01741 (53*2π)/1132 weeks
54-.02297 .01357 (54*2π)/1132 weeks
55-.01939 -.01918 (55*2π)/1132 weeks
56.04118 -.01346 (56*2π)/1132 weeks
57.04118 .01346 (57*2π)/1132 weeks
58-.01939 .01918 (58*2π)/1132 weeks
59-.02297 -.01357 (59*2π)/1132 weeks
60-.0011 -.01741 (60*2π)/1132 weeks
61.00621 -.04365 (61*2π)/1132 weeks
62.07665 -.02444 (62*2π)/1132 weeks
63-.00529 .01562 (63*2π)/1132 weeks
64.02941 -.02129 (64*2π)/1132 weeks
65.00203 -.03488 (65*2π)/1132 weeks
66.03704 -.00127 (66*2π)/1132 weeks
67-.03166 .02776 (67*2π)/1132 weeks
68.02492 -.09613 (68*2π)/1132 weeks
69.06073 -.04949 (69*2π)/1132 weeks
70-.00511 .00138 (70*2π)/1132 weeks
71.02702 -.02209 (71*2π)/1132 weeks
72.02042 -.04978 (72*2π)/1132 weeks
73.04073 -.03395 (73*2π)/1132 weeks
74.05493 -.06547 (74*2π)/1132 weeks
75.05598 .01514 (75*2π)/1132 weeks
76.01403 -.09678 (76*2π)/1131 weeks
77.02882 .04627 (77*2π)/1131 weeks
78.0566 -.12457 (78*2π)/1131 weeks
79.11063 -.00753 (79*2π)/1131 weeks
80.01698 .00146 (80*2π)/1131 weeks
81.06394 -.04423 (81*2π)/1131 weeks
82.01021 -.02237 (82*2π)/1131 weeks
83.07436 .07172 (83*2π)/1131 weeks
84-.01324 -.06817 (84*2π)/1131 weeks
85.08223 .03706 (85*2π)/1131 weeks
86-.07337 -.02519 (86*2π)/1131 weeks
87.05746 -.09096 (87*2π)/1131 weeks
88.01053 -.03051 (88*2π)/1131 weeks
89.03796 -.05361 (89*2π)/1131 weeks
90.01714 -.0399 (90*2π)/1131 weeks
91.10955 -.04548 (91*2π)/1131 weeks
92.04906 -.01656 (92*2π)/1131 weeks
93.05124 -.03256 (93*2π)/1131 weeks
94-.0823 -.07101 (94*2π)/1131 weeks
95.19715 -.15804 (95*2π)/1131 weeks
96-.01368 -.00866 (96*2π)/1131 weeks
97.01939 -.14154 (97*2π)/1131 weeks
98.20869 .09105 (98*2π)/1131 weeks
99-.07818 .04096 (99*2π)/1131 weeks
100.11008 -.07721 (100*2π)/1131 weeks
101.00543 -.18704 (101*2π)/1131 weeks
102-.09345 .07648 (102*2π)/1131 weeks
103.00314 -.09133 (103*2π)/1131 weeks
104-.15117 -.01564 (104*2π)/1131 weeks
105-.02666 -.40376 (105*2π)/1131 weeks
106.27256 -.06429 (106*2π)/1131 weeks
107-.03515 -.15312 (107*2π)/1131 weeks
108-.06148 -.32952 (108*2π)/1131 weeks
109-.11602 -.03622 (109*2π)/1131 weeks
110-.23141 -.60277 (110*2π)/1131 weeks
111-.31585 -1.10695 (111*2π)/1131 weeks

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