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# Fourier Analysis of SPEC (SPECTRALCAST INC)

SPEC (SPECTRALCAST INC) appears to have interesting cyclic behaviour every 5 weeks (.0249*cosine), 8 weeks (.0246*cosine), and 3 weeks (.0183*cosine).

SPEC (SPECTRALCAST INC) has an average price of .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.

## Fourier Analysis

Using data from 8/22/2014 to 3/13/2017 for SPEC (SPECTRALCAST INC), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0.1835   0
1.01901 .09587 (1*2π)/135135 weeks
2.03992 .0611 (2*2π)/13568 weeks
3-.0055 .03617 (3*2π)/13545 weeks
4-.00943 .01493 (4*2π)/13534 weeks
5-.00395 -.004 (5*2π)/13527 weeks
6-.00124 .02234 (6*2π)/13523 weeks
7-.00275 .01714 (7*2π)/13519 weeks
8-.01145 .0065 (8*2π)/13517 weeks
9-.00751 .01128 (9*2π)/13515 weeks
10-.00425 -.0077 (10*2π)/13514 weeks
11.01467 -.00401 (11*2π)/13512 weeks
12.02095 .02206 (12*2π)/13511 weeks
13-.01222 .02141 (13*2π)/13510 weeks
14-.0236 .00687 (14*2π)/13510 weeks
15-.01084 -.0011 (15*2π)/1359 weeks
16-.00312 -.01218 (16*2π)/1358 weeks
17.0115 -.00948 (17*2π)/1358 weeks
18.0246 .01519 (18*2π)/1358 weeks
19.01342 .02308 (19*2π)/1357 weeks
20-.0068 .01769 (20*2π)/1357 weeks
21-.00681 .0065 (21*2π)/1356 weeks
22.00093 -.01154 (22*2π)/1356 weeks
23.00551 .00018 (23*2π)/1356 weeks
24.00186 .01174 (24*2π)/1356 weeks
25-.01194 -.00777 (25*2π)/1355 weeks
26-.00134 -.01023 (26*2π)/1355 weeks
27.0136 .01062 (27*2π)/1355 weeks
28-.0077 .01867 (28*2π)/1355 weeks
29-.02492 .00427 (29*2π)/1355 weeks
30-.00974 -.01146 (30*2π)/1355 weeks
31.00934 -.0079 (31*2π)/1354 weeks
32.01035 .0077 (32*2π)/1354 weeks
33.0014 .01537 (33*2π)/1354 weeks
34-.00557 .00613 (34*2π)/1354 weeks
35-.00751 -.00005 (35*2π)/1354 weeks
36-.0054 .00078 (36*2π)/1354 weeks
37-.00628 -.01055 (37*2π)/1354 weeks
38-.00012 -.01464 (38*2π)/1354 weeks
39.00839 -.00006 (39*2π)/1353 weeks
40-.00195 .0047 (40*2π)/1353 weeks
41-.00704 -.00373 (41*2π)/1353 weeks
42.00101 -.00383 (42*2π)/1353 weeks
43.00023 -.00198 (43*2π)/1353 weeks
44.00473 -.00862 (44*2π)/1353 weeks
45.01575 -.00352 (45*2π)/1353 weeks
46.0094 .00824 (46*2π)/1353 weeks
47-.00486 .0036 (47*2π)/1353 weeks
48-.00539 -.00731 (48*2π)/1353 weeks
49.00412 -.01199 (49*2π)/1353 weeks
50.01119 -.00296 (50*2π)/1353 weeks
51.00396 .01023 (51*2π)/1353 weeks
52-.0085 .0019 (52*2π)/1353 weeks
53.00375 -.01024 (53*2π)/1353 weeks
54.01831 .00033 (54*2π)/1353 weeks
55.00421 .01076 (55*2π)/1352 weeks
56-.00281 .00017 (56*2π)/1352 weeks
57.00987 -.00847 (57*2π)/1352 weeks
58.01296 .00294 (58*2π)/1352 weeks
59.00251 .01564 (59*2π)/1352 weeks
60-.0116 .01043 (60*2π)/1352 weeks
61-.01466 -.00543 (61*2π)/1352 weeks
62.00028 -.00859 (62*2π)/1352 weeks
63.00893 .00154 (63*2π)/1352 weeks
64.0018 .0048 (64*2π)/1352 weeks
65.00393 .00502 (65*2π)/1352 weeks
66.00723 .00852 (66*2π)/1352 weeks
67-.00629 .00489 (67*2π)/1352 weeks
68-.00629 -.00489 (68*2π)/1352 weeks
69.00723 -.00852 (69*2π)/1352 weeks
70.00393 -.00502 (70*2π)/1352 weeks
71.0018 -.0048 (71*2π)/1352 weeks
72.00893 -.00154 (72*2π)/1352 weeks
73.00028 .00859 (73*2π)/1352 weeks
74-.01466 .00543 (74*2π)/1352 weeks
75-.0116 -.01043 (75*2π)/1352 weeks
76.00251 -.01564 (76*2π)/1352 weeks
77.01296 -.00294 (77*2π)/1352 weeks
78.00987 .00847 (78*2π)/1352 weeks
79-.00281 -.00017 (79*2π)/1352 weeks
80.00421 -.01076 (80*2π)/1352 weeks
81.01831 -.00033 (81*2π)/1352 weeks
82.00375 .01024 (82*2π)/1352 weeks
83-.0085 -.0019 (83*2π)/1352 weeks
84.00396 -.01023 (84*2π)/1352 weeks
85.01119 .00296 (85*2π)/1352 weeks
86.00412 .01199 (86*2π)/1352 weeks
87-.00539 .00731 (87*2π)/1352 weeks
88-.00486 -.0036 (88*2π)/1352 weeks
89.0094 -.00824 (89*2π)/1352 weeks
90.01575 .00352 (90*2π)/1352 weeks
91.00473 .00862 (91*2π)/1351 weeks
92.00023 .00198 (92*2π)/1351 weeks
93.00101 .00383 (93*2π)/1351 weeks
94-.00704 .00373 (94*2π)/1351 weeks
95-.00195 -.0047 (95*2π)/1351 weeks
96.00839 .00006 (96*2π)/1351 weeks
97-.00012 .01464 (97*2π)/1351 weeks
98-.00628 .01055 (98*2π)/1351 weeks
99-.0054 -.00078 (99*2π)/1351 weeks
100-.00751 .00005 (100*2π)/1351 weeks
101-.00557 -.00613 (101*2π)/1351 weeks
102.0014 -.01537 (102*2π)/1351 weeks
103.01035 -.0077 (103*2π)/1351 weeks
104.00934 .0079 (104*2π)/1351 weeks
105-.00974 .01146 (105*2π)/1351 weeks
106-.02492 -.00427 (106*2π)/1351 weeks
107-.0077 -.01867 (107*2π)/1351 weeks
108.0136 -.01062 (108*2π)/1351 weeks
109-.00134 .01023 (109*2π)/1351 weeks
110-.01194 .00777 (110*2π)/1351 weeks
111.00186 -.01174 (111*2π)/1351 weeks
112.00551 -.00018 (112*2π)/1351 weeks
113.00093 .01154 (113*2π)/1351 weeks
114-.00681 -.0065 (114*2π)/1351 weeks
115-.0068 -.01769 (115*2π)/1351 weeks
116.01342 -.02308 (116*2π)/1351 weeks
117.0246 -.01519 (117*2π)/1351 weeks
118.0115 .00948 (118*2π)/1351 weeks
119-.00312 .01218 (119*2π)/1351 weeks
120-.01084 .0011 (120*2π)/1351 weeks
121-.0236 -.00687 (121*2π)/1351 weeks
122-.01222 -.02141 (122*2π)/1351 weeks
123.02095 -.02206 (123*2π)/1351 weeks
124.01467 .00401 (124*2π)/1351 weeks
125-.00425 .0077 (125*2π)/1351 weeks
126-.00751 -.01128 (126*2π)/1351 weeks
127-.01145 -.0065 (127*2π)/1351 weeks
128-.00275 -.01714 (128*2π)/1351 weeks
129-.00124 -.02234 (129*2π)/1351 weeks
130-.00395 .004 (130*2π)/1351 weeks
131-.00943 -.01493 (131*2π)/1351 weeks
132-.0055 -.03617 (132*2π)/1351 weeks
133.03992 -.0611 (133*2π)/1351 weeks