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# Fourier Analysis of CATS (CATASYS INC)

CATS (CATASYS INC) appears to have interesting cyclic behaviour every 56 weeks (995.1754*sine), 61 weeks (952.5605*cosine), and 61 weeks (629.4506*sine).

CATS (CATASYS INC) has an average price of 4,858.88 (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 12/15/2003 to 11/6/2017 for CATS (CATASYS INC), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
04,858.881   0
13,939.935 7,031.189 (1*2π)/726726 weeks
2-2,247.291 3,835.061 (2*2π)/726363 weeks
3-1,118.885 -246.9384 (3*2π)/726242 weeks
41,049.544 238.4691 (4*2π)/726182 weeks
5322.5071 1,405.38 (5*2π)/726145 weeks
6-505.475 511.7274 (6*2π)/726121 weeks
7139.606 -144.7146 (7*2π)/726104 weeks
8645.0707 117.5097 (8*2π)/72691 weeks
9584.678 543.5824 (9*2π)/72681 weeks
10181.1543 397.8137 (10*2π)/72673 weeks
11587.8506 23.87649 (11*2π)/72666 weeks
12952.5605 629.4506 (12*2π)/72661 weeks
13403.3976 995.1754 (13*2π)/72656 weeks
14172.4488 724.0838 (14*2π)/72652 weeks
15183.5435 826.9379 (15*2π)/72648 weeks
16-267.2004 776.4009 (16*2π)/72645 weeks
17-289.3948 177.8974 (17*2π)/72643 weeks
18288.3842 126.5142 (18*2π)/72640 weeks
19274.3029 682.1915 (19*2π)/72638 weeks
20-295.411 622.1141 (20*2π)/72636 weeks
21-293.8318 88.82658 (21*2π)/72635 weeks
22118.9741 -37.78578 (22*2π)/72633 weeks
23371.5119 231.1354 (23*2π)/72632 weeks
24237.0739 563.965 (24*2π)/72630 weeks
25-87.21878 562.9809 (25*2π)/72629 weeks
26-187.2572 365.2923 (26*2π)/72628 weeks
27-168.3784 269.8882 (27*2π)/72627 weeks
28-180.7098 182.4241 (28*2π)/72626 weeks
29-103.8685 78.65872 (29*2π)/72625 weeks
30-25.54485 96.81271 (30*2π)/72624 weeks
31-21.29778 67.09513 (31*2π)/72623 weeks
3288.80057 45.18842 (32*2π)/72623 weeks
33148.7182 163.2898 (33*2π)/72622 weeks
3455.30701 227.0402 (34*2π)/72621 weeks
3545.83475 150.4635 (35*2π)/72621 weeks
36125.7361 240.5749 (36*2π)/72620 weeks
37-59.50925 338.747 (37*2π)/72620 weeks
38-185.0926 122.6824 (38*2π)/72619 weeks
39-15.8948 -38.65561 (39*2π)/72619 weeks
40197.5591 55.52093 (40*2π)/72618 weeks
41144.5539 322.9084 (41*2π)/72618 weeks
42-129.3679 265.0789 (42*2π)/72617 weeks
43-45.70123 62.34629 (43*2π)/72617 weeks
4443.2492 178.7573 (44*2π)/72617 weeks
45-103.4496 183.8097 (45*2π)/72616 weeks
46-89.17825 25.27394 (46*2π)/72616 weeks
4757.84562 32.96971 (47*2π)/72615 weeks
4831.10117 162.6261 (48*2π)/72615 weeks
49-79.69819 88.92197 (49*2π)/72615 weeks
5021.58708 23.36687 (50*2π)/72615 weeks
511.77971 113.3841 (51*2π)/72614 weeks
52-71.20403 -1.17546 (52*2π)/72614 weeks
5385.6973 -89.55424 (53*2π)/72614 weeks
54217.292 23.31849 (54*2π)/72613 weeks
55202.9488 182.366 (55*2π)/72613 weeks
5666.423 246.9657 (56*2π)/72613 weeks
57-9.66293 179.0529 (57*2π)/72613 weeks
58-9.35565 138.0399 (58*2π)/72613 weeks
59.59054 114.0916 (59*2π)/72612 weeks
608.10615 120.9933 (60*2π)/72612 weeks
61-.93651 101.8132 (61*2π)/72612 weeks
6236.7823 114.703 (62*2π)/72612 weeks
63-13.01982 166.3222 (63*2π)/72612 weeks
64-71.34567 101.7036 (64*2π)/72611 weeks
65-25.33551 51.25528 (65*2π)/72611 weeks
664.5292 82.56109 (66*2π)/72611 weeks
67-46.50278 94.13641 (67*2π)/72611 weeks
68-60.30416 7.62214 (68*2π)/72611 weeks
6940.21994 -25.68707 (69*2π)/72611 weeks
7087.87242 57.58723 (70*2π)/72610 weeks
7133.19614 86.83398 (71*2π)/72610 weeks
7259.1815 52.21087 (72*2π)/72610 weeks
7396.01333 147.8064 (73*2π)/72610 weeks
74-45.59802 206.6837 (74*2π)/72610 weeks
75-129.0319 69.84756 (75*2π)/72610 weeks
76-30.94844 -11.52166 (76*2π)/72610 weeks
777.69626 55.1381 (77*2π)/7269 weeks
78-50.56044 33.80884 (78*2π)/7269 weeks
793.32444 -10.50915 (79*2π)/7269 weeks
802.68423 33.18352 (80*2π)/7269 weeks
81-24.04199 -24.52913 (81*2π)/7269 weeks
8264.57519 -70.30098 (82*2π)/7269 weeks
83162.2953 7.87501 (83*2π)/7269 weeks
84112.2379 147.9354 (84*2π)/7269 weeks
85-25.02916 113.2981 (85*2π)/7269 weeks
8620.80413 16.92466 (86*2π)/7268 weeks
8770.00264 91.42912 (87*2π)/7268 weeks
88-27.96352 114.7576 (88*2π)/7268 weeks
89-45.64209 19.3822 (89*2π)/7268 weeks
9014.98382 7.75538 (90*2π)/7268 weeks
9110.40919 22.10684 (91*2π)/7268 weeks
9218.25628 3.83372 (92*2π)/7268 weeks
9329.35469 -4.97763 (93*2π)/7268 weeks
9466.29639 -23.67566 (94*2π)/7268 weeks
95122.488 15.04735 (95*2π)/7268 weeks
96109.406 91.50589 (96*2π)/7268 weeks
9745.94019 99.37558 (97*2π)/7267 weeks
9849.97038 71.86446 (98*2π)/7267 weeks
9941.12155 113.2379 (99*2π)/7267 weeks
100-26.29872 82.82446 (100*2π)/7267 weeks
10115.30365 24.47575 (101*2π)/7267 weeks
10243.31097 80.59576 (102*2π)/7267 weeks
103-39.25998 88.45477 (103*2π)/7267 weeks
104-46.85146 -23.65084 (104*2π)/7267 weeks
10580.59037 -40.35639 (105*2π)/7267 weeks
106104.8671 84.5739 (106*2π)/7267 weeks
107-6.62919 112.0307 (107*2π)/7267 weeks
108-30.9855 21.23961 (108*2π)/7267 weeks
10930.27767 10.94952 (109*2π)/7267 weeks
11018.3737 38.44278 (110*2π)/7267 weeks
11116.49378 8.03859 (111*2π)/7267 weeks
11249.9249 17.71147 (112*2π)/7266 weeks
11338.70058 43.02551 (113*2π)/7266 weeks
11417.68208 28.78391 (114*2π)/7266 weeks
11538.96738 3.41187 (115*2π)/7266 weeks
11669.97636 26.96497 (116*2π)/7266 weeks
11756.76015 60.60936 (117*2π)/7266 weeks
11818.02548 66.03122 (118*2π)/7266 weeks
119-3.34161 18.35762 (119*2π)/7266 weeks
12048.03124 -14.78068 (120*2π)/7266 weeks
12192.76975 23.62307 (121*2π)/7266 weeks
12287.40879 79.94577 (122*2π)/7266 weeks
12328.3401 118.7086 (123*2π)/7266 weeks
124-51.47207 73.23904 (124*2π)/7266 weeks
125-30.61665 -31.77054 (125*2π)/7266 weeks
12678.54509 -32.92326 (126*2π)/7266 weeks
12788.49818 63.27602 (127*2π)/7266 weeks
12815.46224 72.73919 (128*2π)/7266 weeks
1296.07112 24.60613 (129*2π)/7266 weeks
13033.79735 13.06921 (130*2π)/7266 weeks
13143.1941 29.01988 (131*2π)/7266 weeks
13230.99192 31.07652 (132*2π)/7266 weeks
13331.3504 16.53068 (133*2π)/7265 weeks
13449.78568 8.79642 (134*2π)/7265 weeks
13570.0338 29.05082 (135*2π)/7265 weeks
13648.9304 53.90287 (136*2π)/7265 weeks
13730.15732 35.36151 (137*2π)/7265 weeks
13833.40847 21.72367 (138*2π)/7265 weeks
13950.24005 -7.00235 (139*2π)/7265 weeks
140115.118 8.97513 (140*2π)/7265 weeks
141122.8934 93.3726 (141*2π)/7265 weeks
14245.80999 143.145 (142*2π)/7265 weeks
143-37.39319 92.45698 (143*2π)/7265 weeks
144-14.34242 5.31412 (144*2π)/7265 weeks
14550.28878 9.80815 (145*2π)/7265 weeks
14655.65088 44.30681 (146*2π)/7265 weeks
14746.16766 53.10625 (147*2π)/7265 weeks
14840.85416 63.47238 (148*2π)/7265 weeks
14911.4851 67.73366 (149*2π)/7265 weeks
150-2.54409 21.9963 (150*2π)/7265 weeks
15148.82258 -.02451 (151*2π)/7265 weeks
15277.72066 40.7285 (152*2π)/7265 weeks
15361.1523 70.23058 (153*2π)/7265 weeks
15447.17527 79.69886 (154*2π)/7265 weeks
15523.57004 94.87293 (155*2π)/7265 weeks
156-14.56827 74.32553 (156*2π)/7265 weeks
157-4.79173 36.85131 (157*2π)/7265 weeks
15811.70887 39.70762 (158*2π)/7265 weeks
15914.96185 35.96816 (159*2π)/7265 weeks
16021.47651 54.0326 (160*2π)/7265 weeks
161-17.22043 51.11126 (161*2π)/7265 weeks
162-8.7711 1.11009 (162*2π)/7264 weeks
16332.89789 2.92128 (163*2π)/7264 weeks
16445.42359 21.01657 (164*2π)/7264 weeks
16551.99235 48.5118 (165*2π)/7264 weeks
16617.51497 68.8867 (166*2π)/7264 weeks
167-6.73424 41.812 (167*2π)/7264 weeks
1683.06953 16.87881 (168*2π)/7264 weeks
16927.81635 11.98612 (169*2π)/7264 weeks
17037.75326 32.81247 (170*2π)/7264 weeks
17126.66927 41.60483 (171*2π)/7264 weeks
17217.98841 45.05934 (172*2π)/7264 weeks
173-.02576 33.36086 (173*2π)/7264 weeks
17411.73417 5.87647 (174*2π)/7264 weeks
17545.01241 6.88454 (175*2π)/7264 weeks
17663.22908 44.98275 (176*2π)/7264 weeks
17728.52909 80.20016 (177*2π)/7264 weeks
178-12.49843 67.16071 (178*2π)/7264 weeks
179-36.43916 32.06013 (179*2π)/7264 weeks
180-11.71193 -26.33427 (180*2π)/7264 weeks
18162.02905 -5.80103 (181*2π)/7264 weeks
18234.85806 61.28769 (182*2π)/7264 weeks
183-13.19352 23.00561 (183*2π)/7264 weeks
18431.46275 -6.06026 (184*2π)/7264 weeks
18547.43051 36.59159 (185*2π)/7264 weeks
18615.25708 44.1501 (186*2π)/7264 weeks
18717.24174 30.41686 (187*2π)/7264 weeks
1887.67596 48.23526 (188*2π)/7264 weeks
189-30.181 18.2534 (189*2π)/7264 weeks
19010.23384 -32.95666 (190*2π)/7264 weeks
19157.54198 8.64884 (191*2π)/7264 weeks
19216.06833 38.4577 (192*2π)/7264 weeks
1932.89327 -7.73542 (193*2π)/7264 weeks
19454.95982 -16.63397 (194*2π)/7264 weeks
19570.09108 34.22586 (195*2π)/7264 weeks
19630.39352 56.04853 (196*2π)/7264 weeks
1979.96353 31.09142 (197*2π)/7264 weeks
19824.12027 21.8182 (198*2π)/7264 weeks
19918.36166 29.00287 (199*2π)/7264 weeks
20016.79247 13.28149 (200*2π)/7264 weeks
20134.35397 14.83049 (201*2π)/7264 weeks
20236.22472 31.39547 (202*2π)/7264 weeks
20317.4227 42.48772 (203*2π)/7264 weeks
204-3.31968 19.24349 (204*2π)/7264 weeks
20520.78669 -4.21238 (205*2π)/7264 weeks
20637.48489 11.89118 (206*2π)/7264 weeks
20734.66085 18.24412 (207*2π)/7264 weeks
20834.99224 23.84213 (208*2π)/7263 weeks
20931.478 22.10356 (209*2π)/7263 weeks
21046.36274 28.04535 (210*2π)/7263 weeks
21128.0084 62.64221 (211*2π)/7263 weeks
212-19.53622 31.9746 (212*2π)/7263 weeks
21321.48416 -10.8257 (213*2π)/7263 weeks
21445.0268 38.32721 (214*2π)/7263 weeks
215-9.93257 40.91736 (215*2π)/7263 weeks
216-1.29262 -15.32814 (216*2π)/7263 weeks
21750.13971 -6.53181 (217*2π)/7263 weeks
21845.79797 33.4423 (218*2π)/7263 weeks
21921.51979 32.89972 (219*2π)/7263 weeks
22021.85357 23.10287 (220*2π)/7263 weeks
22121.94039 28.43812 (221*2π)/7263 weeks
2227.08637 22.57558 (222*2π)/7263 weeks
22317.3791 -.9094 (223*2π)/7263 weeks
22443.48505 9.64037 (224*2π)/7263 weeks
22540.08979 31.54318 (225*2π)/7263 weeks
22627.24817 40.608 (226*2π)/7263 weeks
22710.09654 40.87085 (227*2π)/7263 weeks
228-7.5619 25.88492 (228*2π)/7263 weeks
229-.04379 -7.50827 (229*2π)/7263 weeks
23035.71868 -5.57428 (230*2π)/7263 weeks
23137.12429 14.53731 (231*2π)/7263 weeks
23241.80698 19.02065 (232*2π)/7263 weeks
23337.30732 42.21024 (233*2π)/7263 weeks
2349.98834 44.68292 (234*2π)/7263 weeks
235-2.26361 24.33161 (235*2π)/7263 weeks
23610.73055 9.71832 (236*2π)/7263 weeks
23715.24542 19.55264 (237*2π)/7263 weeks
23810.48649 11.81428 (238*2π)/7263 weeks
23918.41374 19.56364 (239*2π)/7263 weeks
240-5.87525 15.94321 (240*2π)/7263 weeks
2418.2066 -19.87838 (241*2π)/7263 weeks
24246.09431 -5.04758 (242*2π)/7263 weeks
24336.46127 27.50399 (243*2π)/7263 weeks
24410.88945 21.74466 (244*2π)/7263 weeks
24519.62608 2.94212 (245*2π)/7263 weeks
24628.59463 20.23293 (246*2π)/7263 weeks
2471.61245 18.4647 (247*2π)/7263 weeks
2487.85416 -17.70663 (248*2π)/7263 weeks
24951.77827 -14.71694 (249*2π)/7263 weeks
25051.57338 32.33403 (250*2π)/7263 weeks
2519.52708 27.20176 (251*2π)/7263 weeks
25225.44208 -5.1534 (252*2π)/7263 weeks
25348.33923 19.31296 (253*2π)/7263 weeks
25423.97356 34.74361 (254*2π)/7263 weeks
25517.32848 16.55907 (255*2π)/7263 weeks
25628.95613 23.20765 (256*2π)/7263 weeks
2578.92844 28.71897 (257*2π)/7263 weeks
25811.87838 3.23688 (258*2π)/7263 weeks
25932.55459 16.2036 (259*2π)/7263 weeks
26014.03773 29.42866 (260*2π)/7263 weeks
2613.94517 11.71588 (261*2π)/7263 weeks
26218.73219 2.76639 (262*2π)/7263 weeks
26324.06321 18.10307 (263*2π)/7263 weeks
2644.49614 18.3987 (264*2π)/7263 weeks
2655.81656 -5.83099 (265*2π)/7263 weeks
26632.41536 -4.93811 (266*2π)/7263 weeks
26730.63829 21.56378 (267*2π)/7263 weeks
2685.15129 18.16636 (268*2π)/7263 weeks
2695.92628 -3.32276 (269*2π)/7263 weeks
27017.10754 -12.64045 (270*2π)/7263 weeks
27138.31028 -17.07057 (271*2π)/7263 weeks
27257.89918 7.92282 (272*2π)/7263 weeks
27339.90982 35.36897 (273*2π)/7263 weeks
27416.29891 26.81213 (274*2π)/7263 weeks
27521.55832 18.02138 (275*2π)/7263 weeks
27615.01087 26.26247 (276*2π)/7263 weeks
2772.59762 16.07091 (277*2π)/7263 weeks
2781.19286 3.17096 (278*2π)/7263 weeks
27910.29041 -17.41249 (279*2π)/7263 weeks
28046.57627 -14.33561 (280*2π)/7263 weeks
28150.21249 28.6701 (281*2π)/7263 weeks
2827.66195 38.15586 (282*2π)/7263 weeks
283-3.46205 -.71427 (283*2π)/7263 weeks
28427.87269 -5.59691 (284*2π)/7263 weeks
28522.71858 11.35889 (285*2π)/7263 weeks
28624.98295 -.40862 (286*2π)/7263 weeks
28738.12223 20.8592 (287*2π)/7263 weeks
2881.25526 35.66075 (288*2π)/7263 weeks
289-19.62242 -13.57683 (289*2π)/7263 weeks
29037.25753 -41.43121 (290*2π)/7263 weeks
29166.41704 13.70696 (291*2π)/7262 weeks
29224.40814 35.61485 (292*2π)/7262 weeks
29314.74009 10.34219 (293*2π)/7262 weeks
29434.90969 12.59097 (294*2π)/7262 weeks
29525.10889 45.51682 (295*2π)/7262 weeks
296-27.26231 34.34508 (296*2π)/7262 weeks
297-17.64335 -25.28538 (297*2π)/7262 weeks
29830.86461 -14.869 (298*2π)/7262 weeks
29913.13782 17.64229 (299*2π)/7262 weeks
300-12.90794 -10.81444 (300*2π)/7262 weeks
30122.05535 -39.13506 (301*2π)/7262 weeks
30248.60043 -5.28222 (302*2π)/7262 weeks
30317.72725 6.77804 (303*2π)/7262 weeks
30429.99497 -24.66691 (304*2π)/7262 weeks
30562.95535 9.43502 (305*2π)/7262 weeks
30619.12182 40.51857 (306*2π)/7262 weeks
307-5.67735 -3.33992 (307*2π)/7262 weeks
30835.36279 -20.0587 (308*2π)/7262 weeks
30947.34184 19.70189 (309*2π)/7262 weeks
3107.96964 31.17863 (310*2π)/7262 weeks
311-2.00512 -4.37877 (311*2π)/7262 weeks
31224.28236 -7.36527 (312*2π)/7262 weeks
31315.81115 11.18131 (313*2π)/7262 weeks
314-6.69938 -10.04083 (314*2π)/7262 weeks
31525.25072 -46.96749 (315*2π)/7262 weeks
31675.91912 -10.55778 (316*2π)/7262 weeks
31742.70887 40.85245 (317*2π)/7262 weeks
3186.62783 18.49812 (318*2π)/7262 weeks
31914.47905 5.55755 (319*2π)/7262 weeks
3208.74089 2.74047 (320*2π)/7262 weeks
32111.83492 -11.60029 (321*2π)/7262 weeks
32227.43729 -15.93529 (322*2π)/7262 weeks
32338.195 -2.97284 (323*2π)/7262 weeks
32430.55833 9.01221 (324*2π)/7262 weeks
32519.83649 8.36161 (325*2π)/7262 weeks
32613.087 -3.56502 (326*2π)/7262 weeks
32728.8755 -17.42028 (327*2π)/7262 weeks
32849.24594 .56653 (328*2π)/7262 weeks
32935.93946 23.45025 (329*2π)/7262 weeks
33020.57541 21.56072 (330*2π)/7262 weeks
33111.60205 26.07756 (331*2π)/7262 weeks
332-16.197 15.18983 (332*2π)/7262 weeks
333-14.51762 -22.87042 (333*2π)/7262 weeks
33413.65856 -34.30671 (334*2π)/7262 weeks
33531.31291 -26.01321 (335*2π)/7262 weeks
33636.95264 -13.19442 (336*2π)/7262 weeks
33733.70307 -3.36959 (337*2π)/7262 weeks
33820.47429 -3.4039 (338*2π)/7262 weeks
33927.20112 -25.71048 (339*2π)/7262 weeks
34060.43508 -10.12121 (340*2π)/7262 weeks
34145.01681 27.78865 (341*2π)/7262 weeks
34211.65238 23.71764 (342*2π)/7262 weeks
3433.03012 .94202 (343*2π)/7262 weeks
34416.4836 -8.93372 (344*2π)/7262 weeks
34513.12274 2.73355 (345*2π)/7262 weeks
346-6.02336 -15.83678 (346*2π)/7262 weeks
34715.06923 -48.61071 (347*2π)/7262 weeks
34859.23155 -36.63357 (348*2π)/7262 weeks
34954.02161 7.84752 (349*2π)/7262 weeks
35021.91637 -1.88789 (350*2π)/7262 weeks
35141.90751 -14.35301 (351*2π)/7262 weeks
35233.11858 8.75151 (352*2π)/7262 weeks
35320.58983 -18.93594 (353*2π)/7262 weeks
35462.09022 -14.7314 (354*2π)/7262 weeks
35549.1245 36.32678 (355*2π)/7262 weeks
356-7.91532 29.56873 (356*2π)/7262 weeks
357-18.99079 -25.60679 (357*2π)/7262 weeks
35821.3716 -53.74983 (358*2π)/7262 weeks
35952.7124 -38.3395 (359*2π)/7262 weeks
36058.3394 -19.11653 (360*2π)/7262 weeks
36152.6003 -10.17358 (361*2π)/7262 weeks
36256.11015 -14.33907 (362*2π)/7262 weeks
36368.08163   (363*2π)/7262 weeks
36456.11015 14.33907 (364*2π)/7262 weeks
36552.6003 10.17358 (365*2π)/7262 weeks
36658.3394 19.11653 (366*2π)/7262 weeks
36752.7124 38.3395 (367*2π)/7262 weeks
36821.3716 53.74983 (368*2π)/7262 weeks
369-18.99079 25.60679 (369*2π)/7262 weeks
370-7.91532 -29.56873 (370*2π)/7262 weeks
37149.1245 -36.32678 (371*2π)/7262 weeks
37262.09022 14.7314 (372*2π)/7262 weeks
37320.58983 18.93594 (373*2π)/7262 weeks
37433.11858 -8.75151 (374*2π)/7262 weeks
37541.90751 14.35301 (375*2π)/7262 weeks
37621.91637 1.88789 (376*2π)/7262 weeks
37754.02161 -7.84752 (377*2π)/7262 weeks
37859.23155 36.63357 (378*2π)/7262 weeks
37915.06923 48.61071 (379*2π)/7262 weeks
380-6.02336 15.83678 (380*2π)/7262 weeks
38113.12274 -2.73355 (381*2π)/7262 weeks
38216.4836 8.93372 (382*2π)/7262 weeks
3833.03012 -.94202 (383*2π)/7262 weeks
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