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Fourier Analysis of LIFE (aTyr Pharma, Inc.)


LIFE (aTyr Pharma, Inc.) appears to have interesting cyclic behaviour every 8 weeks (.8309*sine), 10 weeks (.7464*sine), and 9 weeks (.5772*sine).

LIFE (aTyr Pharma, Inc.) has an average price of 7.71 (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 5/7/2015 to 3/13/2017 for LIFE (aTyr Pharma, Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
07.71179   0 
14.36691 5.59862 (1*2π)/9898 weeks
2.69083 3.42151 (2*2π)/9849 weeks
3.61934 2.15387 (3*2π)/9833 weeks
4.51948 1.69187 (4*2π)/9825 weeks
5.25275 1.31031 (5*2π)/9820 weeks
6.52258 1.14013 (6*2π)/9816 weeks
7.0189 1.22909 (7*2π)/9814 weeks
8-.13896 .68355 (8*2π)/9812 weeks
9.12669 .92975 (9*2π)/9811 weeks
10-.23019 .74638 (10*2π)/9810 weeks
11.17909 .57719 (11*2π)/989 weeks
12.03629 .83092 (12*2π)/988 weeks
13-.48671 .36023 (13*2π)/988 weeks
14-.19328 -.04408 (14*2π)/987 weeks
15.32073 -.0537 (15*2π)/987 weeks
16.32208 .38234 (16*2π)/986 weeks
17.10548 .30769 (17*2π)/986 weeks
18.12177 .43237 (18*2π)/985 weeks
19-.0708 .15117 (19*2π)/985 weeks
20.11539 .10154 (20*2π)/985 weeks
21.22534 .14202 (21*2π)/985 weeks
22.11177 .20072 (22*2π)/984 weeks
23.17654 .10056 (23*2π)/984 weeks
24.07527 .25323 (24*2π)/984 weeks
25.02663 .08164 (25*2π)/984 weeks
26.26994 .12654 (26*2π)/984 weeks
27.13878 .22548 (27*2π)/984 weeks
28-.04078 .16163 (28*2π)/984 weeks
29-.02736 -.13105 (29*2π)/983 weeks
30.23257 -.02167 (30*2π)/983 weeks
31.3084 .12619 (31*2π)/983 weeks
32.26254 .24299 (32*2π)/983 weeks
33.07418 .1606 (33*2π)/983 weeks
34.06993 .11206 (34*2π)/983 weeks
35-.01705 .03889 (35*2π)/983 weeks
36.08536 -.01829 (36*2π)/983 weeks
37.10475 .08366 (37*2π)/983 weeks
38.07418 -.01645 (38*2π)/983 weeks
39.1017 -.07073 (39*2π)/983 weeks
40.12564 -.07986 (40*2π)/982 weeks
41.09543 -.12268 (41*2π)/982 weeks
42.17798 -.14877 (42*2π)/982 weeks
43.2953 -.08498 (43*2π)/982 weeks
44.26363 -.00145 (44*2π)/982 weeks
45.27702 -.09626 (45*2π)/982 weeks
46.35042 -.00671 (46*2π)/982 weeks
47.23086 .02028 (47*2π)/982 weeks
48.19377 .00178 (48*2π)/982 weeks
49.19418   (49*2π)/982 weeks
50.19377 -.00178 (50*2π)/982 weeks
51.23086 -.02028 (51*2π)/982 weeks
52.35042 .00671 (52*2π)/982 weeks
53.27702 .09626 (53*2π)/982 weeks
54.26363 .00145 (54*2π)/982 weeks
55.2953 .08498 (55*2π)/982 weeks
56.17798 .14877 (56*2π)/982 weeks
57.09543 .12268 (57*2π)/982 weeks
58.12564 .07986 (58*2π)/982 weeks
59.1017 .07073 (59*2π)/982 weeks
60.07418 .01645 (60*2π)/982 weeks
61.10475 -.08366 (61*2π)/982 weeks
62.08536 .01829 (62*2π)/982 weeks
63-.01705 -.03889 (63*2π)/982 weeks
64.06993 -.11206 (64*2π)/982 weeks
65.07418 -.1606 (65*2π)/982 weeks
66.26254 -.24299 (66*2π)/981 weeks
67.3084 -.12619 (67*2π)/981 weeks
68.23257 .02167 (68*2π)/981 weeks
69-.02736 .13105 (69*2π)/981 weeks
70-.04078 -.16163 (70*2π)/981 weeks
71.13878 -.22548 (71*2π)/981 weeks
72.26994 -.12654 (72*2π)/981 weeks
73.02663 -.08164 (73*2π)/981 weeks
74.07527 -.25323 (74*2π)/981 weeks
75.17654 -.10056 (75*2π)/981 weeks
76.11177 -.20072 (76*2π)/981 weeks
77.22534 -.14202 (77*2π)/981 weeks
78.11539 -.10154 (78*2π)/981 weeks
79-.0708 -.15117 (79*2π)/981 weeks
80.12177 -.43237 (80*2π)/981 weeks
81.10548 -.30769 (81*2π)/981 weeks
82.32208 -.38234 (82*2π)/981 weeks
83.32073 .0537 (83*2π)/981 weeks
84-.19328 .04408 (84*2π)/981 weeks
85-.48671 -.36023 (85*2π)/981 weeks
86.03629 -.83092 (86*2π)/981 weeks
87.17909 -.57719 (87*2π)/981 weeks
88-.23019 -.74638 (88*2π)/981 weeks
89.12669 -.92975 (89*2π)/981 weeks
90-.13896 -.68355 (90*2π)/981 weeks
91.0189 -1.22909 (91*2π)/981 weeks
92.52258 -1.14013 (92*2π)/981 weeks
93.25275 -1.31031 (93*2π)/981 weeks
94.51948 -1.69187 (94*2π)/981 weeks
95.61934 -2.15387 (95*2π)/981 weeks
96.69083 -3.42151 (96*2π)/981 weeks

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