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Fourier Analysis of FLOW (SPX FLOW Inc)


FLOW (SPX FLOW Inc) appears to have interesting cyclic behaviour every 9 weeks (.6337*cosine), 7 weeks (.5709*sine), and 4 weeks (.4223*cosine).

FLOW (SPX FLOW Inc) has an average price of 30.76 (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 9/28/2015 to 9/5/2017 for FLOW (SPX FLOW Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
030.7552   0 
12.14329 -5.22954 (1*2π)/102102 weeks
2.86842 -1.97379 (2*2π)/10251 weeks
31.99707 .50034 (3*2π)/10234 weeks
4-.43454 1.43834 (4*2π)/10226 weeks
5-1.24785 1.44327 (5*2π)/10220 weeks
6.59395 -.32715 (6*2π)/10217 weeks
7.19677 .05339 (7*2π)/10215 weeks
8.41899 -.03989 (8*2π)/10213 weeks
9.06517 .77342 (9*2π)/10211 weeks
10.33057 .08846 (10*2π)/10210 weeks
11-.21943 .10646 (11*2π)/1029 weeks
12.63373 .34521 (12*2π)/1029 weeks
13.42046 .05423 (13*2π)/1028 weeks
14.13998 .57085 (14*2π)/1027 weeks
15-.08283 .15335 (15*2π)/1027 weeks
16-.24783 -.15686 (16*2π)/1026 weeks
17.41922 -.20105 (17*2π)/1026 weeks
18-.24353 .4566 (18*2π)/1026 weeks
19-.31355 -.09841 (19*2π)/1025 weeks
20-.33827 .2384 (20*2π)/1025 weeks
21-.21765 -.12542 (21*2π)/1025 weeks
22.17522 -.27715 (22*2π)/1025 weeks
23.0787 -.29313 (23*2π)/1024 weeks
24.25378 -.06427 (24*2π)/1024 weeks
25.07216 .24197 (25*2π)/1024 weeks
26.07437 .30395 (26*2π)/1024 weeks
27-.42228 .12202 (27*2π)/1024 weeks
28-.05865 .20823 (28*2π)/1024 weeks
29-.01249 -.06618 (29*2π)/1024 weeks
30.11252 .2435 (30*2π)/1023 weeks
31-.16541 -.05917 (31*2π)/1023 weeks
32-.13417 .08775 (32*2π)/1023 weeks
33.05542 -.13809 (33*2π)/1023 weeks
34-.09961 .22211 (34*2π)/1023 weeks
35.25738 .12539 (35*2π)/1023 weeks
36-.08359 .195 (36*2π)/1023 weeks
37-.19369 .0718 (37*2π)/1023 weeks
38-.01007 -.03298 (38*2π)/1023 weeks
39.03919 .07252 (39*2π)/1023 weeks
40.04115 -.06195 (40*2π)/1023 weeks
41-.01112 -.00843 (41*2π)/1022 weeks
42-.01122 .19862 (42*2π)/1022 weeks
43.01409 .19411 (43*2π)/1022 weeks
44.12725 -.04409 (44*2π)/1022 weeks
45-.03751 .09667 (45*2π)/1022 weeks
46.01962 .24192 (46*2π)/1022 weeks
47-.0576 -.08812 (47*2π)/1022 weeks
48.01918 .10343 (48*2π)/1022 weeks
49-.07091 -.0414 (49*2π)/1022 weeks
50-.26243 .12183 (50*2π)/1022 weeks
51-.09314   (51*2π)/1022 weeks
52-.26243 -.12183 (52*2π)/1022 weeks
53-.07091 .0414 (53*2π)/1022 weeks
54.01918 -.10343 (54*2π)/1022 weeks
55-.0576 .08812 (55*2π)/1022 weeks
56.01962 -.24192 (56*2π)/1022 weeks
57-.03751 -.09667 (57*2π)/1022 weeks
58.12725 .04409 (58*2π)/1022 weeks
59.01409 -.19411 (59*2π)/1022 weeks
60-.01122 -.19862 (60*2π)/1022 weeks
61-.01112 .00843 (61*2π)/1022 weeks
62.04115 .06195 (62*2π)/1022 weeks
63.03919 -.07252 (63*2π)/1022 weeks
64-.01007 .03298 (64*2π)/1022 weeks
65-.19369 -.0718 (65*2π)/1022 weeks
66-.08359 -.195 (66*2π)/1022 weeks
67.25738 -.12539 (67*2π)/1022 weeks
68-.09961 -.22211 (68*2π)/1022 weeks
69.05542 .13809 (69*2π)/1021 weeks
70-.13417 -.08775 (70*2π)/1021 weeks
71-.16541 .05917 (71*2π)/1021 weeks
72.11252 -.2435 (72*2π)/1021 weeks
73-.01249 .06618 (73*2π)/1021 weeks
74-.05865 -.20823 (74*2π)/1021 weeks
75-.42228 -.12202 (75*2π)/1021 weeks
76.07437 -.30395 (76*2π)/1021 weeks
77.07216 -.24197 (77*2π)/1021 weeks
78.25378 .06427 (78*2π)/1021 weeks
79.0787 .29313 (79*2π)/1021 weeks
80.17522 .27715 (80*2π)/1021 weeks
81-.21765 .12542 (81*2π)/1021 weeks
82-.33827 -.2384 (82*2π)/1021 weeks
83-.31355 .09841 (83*2π)/1021 weeks
84-.24353 -.4566 (84*2π)/1021 weeks
85.41922 .20105 (85*2π)/1021 weeks
86-.24783 .15686 (86*2π)/1021 weeks
87-.08283 -.15335 (87*2π)/1021 weeks
88.13998 -.57085 (88*2π)/1021 weeks
89.42046 -.05423 (89*2π)/1021 weeks
90.63373 -.34521 (90*2π)/1021 weeks
91-.21943 -.10646 (91*2π)/1021 weeks
92.33057 -.08846 (92*2π)/1021 weeks
93.06517 -.77342 (93*2π)/1021 weeks
94.41899 .03989 (94*2π)/1021 weeks
95.19677 -.05339 (95*2π)/1021 weeks
96.59395 .32715 (96*2π)/1021 weeks
97-1.24785 -1.44327 (97*2π)/1021 weeks
98-.43454 -1.43834 (98*2π)/1021 weeks
991.99707 -.50034 (99*2π)/1021 weeks
100.86842 1.97379 (100*2π)/1021 weeks



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