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# Fourier Analysis of WPCS (WPCS International Inc)

WPCS (WPCS International Inc) appears to have interesting cyclic behaviour every 75 weeks (977.9623*sine), 47 weeks (721.0399*sine), and 68 weeks (720.4979*sine).

WPCS (WPCS International Inc) has an average price of 2,293.26 (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 10/7/2003 to 1/16/2018 for WPCS (WPCS International Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
02,293.26   0
13,476.055 1,412.798 (1*2π)/746746 weeks
22,883.912 1,588.108 (2*2π)/746373 weeks
32,504.265 1,819.086 (3*2π)/746249 weeks
42,100.845 2,277.016 (4*2π)/746187 weeks
51,294.34 2,414.468 (5*2π)/746149 weeks
6739.4193 2,192.752 (6*2π)/746124 weeks
7383.863 1,965.087 (7*2π)/746107 weeks
826.02172 1,687.509 (8*2π)/74693 weeks
9-131.3093 1,305.295 (9*2π)/74683 weeks
10-149.2003 977.9623 (10*2π)/74675 weeks
11-43.3102 720.4979 (11*2π)/74668 weeks
12120.3434 632.7158 (12*2π)/74662 weeks
13193.4918 626.8434 (13*2π)/74657 weeks
14253.4477 627.6673 (14*2π)/74653 weeks
15260.3244 698.2795 (15*2π)/74650 weeks
16191.1212 721.0399 (16*2π)/74647 weeks
17135.0121 706.8851 (17*2π)/74644 weeks
1865.03639 697.3043 (18*2π)/74641 weeks
19-30.09427 637.5086 (19*2π)/74639 weeks
20-73.31817 530.1959 (20*2π)/74637 weeks
21-91.38665 433.5557 (21*2π)/74636 weeks
22-56.16225 314.4791 (22*2π)/74634 weeks
2320.6643 241.4569 (23*2π)/74632 weeks
24121.0006 236.6387 (24*2π)/74631 weeks
25155.7346 269.5417 (25*2π)/74630 weeks
26189.2169 280.78 (26*2π)/74629 weeks
27206.2016 327.8833 (27*2π)/74628 weeks
28179.9585 369.455 (28*2π)/74627 weeks
29138.9553 374.1071 (29*2π)/74626 weeks
30105.9838 356.8015 (30*2π)/74625 weeks
3190.8158 340.0598 (31*2π)/74624 weeks
3264.9393 312.7262 (32*2π)/74623 weeks
3365.91991 275.1794 (33*2π)/74623 weeks
3470.37719 243.0762 (34*2π)/74622 weeks
35101.5189 214.6757 (35*2π)/74621 weeks
36127.6163 209.4275 (36*2π)/74621 weeks
37164.9719 220.0004 (37*2π)/74620 weeks
38177.2556 258.0504 (38*2π)/74620 weeks
39150.3311 295.7356 (39*2π)/74619 weeks
40108.4266 289.3579 (40*2π)/74619 weeks
4183.6479 281.3686 (41*2π)/74618 weeks
4255.61125 238.807 (42*2π)/74618 weeks
4366.71068 207.4906 (43*2π)/74617 weeks
4471.75491 183.637 (44*2π)/74617 weeks
4588.65847 152.9268 (45*2π)/74617 weeks
46123.8334 136.4882 (46*2π)/74616 weeks
47155.7357 135.1942 (47*2π)/74616 weeks
48190.2693 147.9087 (48*2π)/74616 weeks
49221.3088 173.3383 (49*2π)/74615 weeks
50228.9562 226.9102 (50*2π)/74615 weeks
51199.1223 254.703 (51*2π)/74615 weeks
52185.0373 266.949 (52*2π)/74614 weeks
53166.0846 287.9444 (53*2π)/74614 weeks
54116.8591 289.8744 (54*2π)/74614 weeks
55104.4697 257.9065 (55*2π)/74614 weeks
56105.3414 247.3143 (56*2π)/74613 weeks
57104.584 241.3521 (57*2π)/74613 weeks
58105.8312 239.3006 (58*2π)/74613 weeks
59106.7377 239.8214 (59*2π)/74613 weeks
60108.2324 246.3033 (60*2π)/74612 weeks
6198.14178 264.8104 (61*2π)/74612 weeks
6272.57464 272.7669 (62*2π)/74612 weeks
6342.56052 267.3688 (63*2π)/74612 weeks
6419.17185 248.1214 (64*2π)/74612 weeks
65.53469 231.7276 (65*2π)/74611 weeks
66-19.67147 199.5707 (66*2π)/74611 weeks
67-20.87272 154.5232 (67*2π)/74611 weeks
682.32245 124.3519 (68*2π)/74611 weeks
6924.21725 104.6439 (69*2π)/74611 weeks
7050.12249 93.95825 (70*2π)/74611 weeks
7175.92317 91.6311 (71*2π)/74611 weeks
72106.3451 99.68403 (72*2π)/74610 weeks
73118.5626 126.6421 (73*2π)/74610 weeks
74110.6482 145.5666 (74*2π)/74610 weeks
75106.586 142.1876 (75*2π)/74610 weeks
76113.9647 155.5964 (76*2π)/74610 weeks
77101.2133 166.6483 (77*2π)/74610 weeks
7889.47164 164.1844 (78*2π)/74610 weeks
7987.34749 156.436 (79*2π)/7469 weeks
8090.6605 154.3152 (80*2π)/7469 weeks
8197.10303 155.102 (81*2π)/7469 weeks
8298.8979 166.5299 (82*2π)/7469 weeks
8394.75223 176.47 (83*2π)/7469 weeks
8482.54765 183.4733 (84*2π)/7469 weeks
8573.81998 189.7472 (85*2π)/7469 weeks
8652.46384 190.8134 (86*2π)/7469 weeks
8733.83092 181.9102 (87*2π)/7469 weeks
8825.50425 162.472 (88*2π)/7468 weeks
8921.64047 153.1442 (89*2π)/7468 weeks
9014.27975 135.9166 (90*2π)/7468 weeks
9122.79386 114.8091 (91*2π)/7468 weeks
9234.82084 109.5511 (92*2π)/7468 weeks
9341.83074 104.3672 (93*2π)/7468 weeks
9451.47119 102.9795 (94*2π)/7468 weeks
9560.06146 105.1998 (95*2π)/7468 weeks
9659.06951 119.3026 (96*2π)/7468 weeks
9743.4466 115.6285 (97*2π)/7468 weeks
9843.60635 100.3268 (98*2π)/7468 weeks
9946.2699 99.86089 (99*2π)/7468 weeks
10039.25216 84.83261 (100*2π)/7467 weeks
10154.0258 65.10716 (101*2π)/7467 weeks
10276.86206 61.05643 (102*2π)/7467 weeks
10393.28112 65.20641 (103*2π)/7467 weeks
104114.3309 72.11311 (104*2π)/7467 weeks
105128.8894 95.46655 (105*2π)/7467 weeks
106129.5066 118.8589 (106*2π)/7467 weeks
107124.3977 140.5318 (107*2π)/7467 weeks
108106.9041 161.3474 (108*2π)/7467 weeks
10983.28178 167.8789 (109*2π)/7467 weeks
11064.81208 168.3961 (110*2π)/7467 weeks
11141.9301 161.418 (111*2π)/7467 weeks
11226.59115 145.6121 (112*2π)/7467 weeks
11323.48754 122.0804 (113*2π)/7467 weeks
11431.30442 113.2699 (114*2π)/7467 weeks
11533.45118 101.3274 (115*2π)/7466 weeks
11647.70163 97.71622 (116*2π)/7466 weeks
11754.51398 102.7462 (117*2π)/7466 weeks
11859.13539 110.197 (118*2π)/7466 weeks
11953.73803 125.0951 (119*2π)/7466 weeks
12036.6333 127.3767 (120*2π)/7466 weeks
12123.38313 125.5381 (121*2π)/7466 weeks
1224.85486 114.5744 (122*2π)/7466 weeks
123-4.06021 92.73981 (123*2π)/7466 weeks
124-1.2849 71.09406 (124*2π)/7466 weeks
1255.59892 54.83213 (125*2π)/7466 weeks
12616.68978 37.1767 (126*2π)/7466 weeks
12738.18945 22.70042 (127*2π)/7466 weeks
12866.74087 25.22646 (128*2π)/7466 weeks
12982.55193 39.47297 (129*2π)/7466 weeks
13091.4148 54.49728 (130*2π)/7466 weeks
13192.67913 69.35281 (131*2π)/7466 weeks
13289.58598 83.683 (132*2π)/7466 weeks
13376.36767 93.13768 (133*2π)/7466 weeks
13462.415 91.09718 (134*2π)/7466 weeks
13559.1533 80.83077 (135*2π)/7466 weeks
13658.73161 77.77863 (136*2π)/7465 weeks
13758.63897 72.92101 (137*2π)/7465 weeks
13860.03266 65.86823 (138*2π)/7465 weeks
13969.50983 59.68552 (139*2π)/7465 weeks
14080.8475 58.48481 (140*2π)/7465 weeks
14198.00999 71.49888 (141*2π)/7465 weeks
14296.2759 88.8444 (142*2π)/7465 weeks
14389.81283 100.9945 (143*2π)/7465 weeks
14483.17365 112.36 (144*2π)/7465 weeks
14564.73373 120.5037 (145*2π)/7465 weeks
14647.59511 113.7885 (146*2π)/7465 weeks
14740.25793 105.277 (147*2π)/7465 weeks
14834.4262 99.24444 (148*2π)/7465 weeks
14930.01299 87.48828 (149*2π)/7465 weeks
15031.13939 80.57084 (150*2π)/7465 weeks
15132.97181 74.75648 (151*2π)/7465 weeks
15236.33126 68.6225 (152*2π)/7465 weeks
15338.81345 69.28008 (153*2π)/7465 weeks
15439.93491 67.9003 (154*2π)/7465 weeks
15536.01513 68.14609 (155*2π)/7465 weeks
15632.57515 63.08333 (156*2π)/7465 weeks
15730.72452 53.50204 (157*2π)/7465 weeks
15833.08665 46.97598 (158*2π)/7465 weeks
15935.17591 33.47403 (159*2π)/7465 weeks
16051.57489 23.36852 (160*2π)/7465 weeks
16168.00258 24.79091 (161*2π)/7465 weeks
16280.16698 33.0454 (162*2π)/7465 weeks
16386.01593 40.11874 (163*2π)/7465 weeks
16495.10489 48.88505 (164*2π)/7465 weeks
16598.82244 64.99383 (165*2π)/7465 weeks
16691.28669 80.41939 (166*2π)/7464 weeks
16779.52004 86.77628 (167*2π)/7464 weeks
16870.7768 87.14822 (168*2π)/7464 weeks
16962.66663 90.92992 (169*2π)/7464 weeks
17048.09404 84.92385 (170*2π)/7464 weeks
17145.06385 72.04912 (171*2π)/7464 weeks
17248.64595 63.1063 (172*2π)/7464 weeks
17356.99235 58.79382 (173*2π)/7464 weeks
17464.72955 61.56023 (174*2π)/7464 weeks
17565.83677 67.99801 (175*2π)/7464 weeks
17667.92863 72.63625 (176*2π)/7464 weeks
17764.10254 79.08205 (177*2π)/7464 weeks
17859.93379 86.32023 (178*2π)/7464 weeks
17946.27832 88.91806 (179*2π)/7464 weeks
18036.86232 82.38496 (180*2π)/7464 weeks
18131.11998 76.61066 (181*2π)/7464 weeks
18224.63643 65.6363 (182*2π)/7464 weeks
18328.24104 54.45269 (183*2π)/7464 weeks
18433.31018 45.75072 (184*2π)/7464 weeks
18543.12493 43.00113 (185*2π)/7464 weeks
18648.47321 43.91904 (186*2π)/7464 weeks
18756.53321 44.6852 (187*2π)/7464 weeks
18860.36118 54.12011 (188*2π)/7464 weeks
18955.72555 60.76315 (189*2π)/7464 weeks
19052.56226 62.19633 (190*2π)/7464 weeks
19145.4551 64.11859 (191*2π)/7464 weeks
19239.45557 59.10705 (192*2π)/7464 weeks
19338.47459 51.71116 (193*2π)/7464 weeks
19441.20819 46.47329 (194*2π)/7464 weeks
19547.2606 41.4795 (195*2π)/7464 weeks
19655.32654 43.64336 (196*2π)/7464 weeks
19761.03336 51.06382 (197*2π)/7464 weeks
19859.46906 57.90862 (198*2π)/7464 weeks
19958.99779 67.2691 (199*2π)/7464 weeks
20047.65542 76.90466 (200*2π)/7464 weeks
20132.89883 76.81034 (201*2π)/7464 weeks
20221.46548 71.36669 (202*2π)/7464 weeks
2039.5974 64.50205 (203*2π)/7464 weeks
204.32061 48.46589 (204*2π)/7464 weeks
205-1.18137 31.92817 (205*2π)/7464 weeks
2062.65493 11.68966 (206*2π)/7464 weeks
20719.71545 -2.26487 (207*2π)/7464 weeks
20835.03254 -5.1597 (208*2π)/7464 weeks
20949.04723 -6.1372 (209*2π)/7464 weeks
21063.25652 .41278 (210*2π)/7464 weeks
21171.15347 11.54761 (211*2π)/7464 weeks
21270.67699 22.40697 (212*2π)/7464 weeks
21366.9326 30.4706 (213*2π)/7464 weeks
21458.60398 33.03065 (214*2π)/7463 weeks
21552.61895 29.41177 (215*2π)/7463 weeks
21649.9746 24.14028 (216*2π)/7463 weeks
21747.65858 16.53049 (217*2π)/7463 weeks
21851.93648 5.09215 (218*2π)/7463 weeks
21964.63945 -5.02305 (219*2π)/7463 weeks
22082.69054 -4.86052 (220*2π)/7463 weeks
22199.52694 4.50945 (221*2π)/7463 weeks
222109.0494 20.07992 (222*2π)/7463 weeks
223110.9499 38.06982 (223*2π)/7463 weeks
224105.3327 55.03705 (224*2π)/7463 weeks
22593.52903 66.87611 (225*2π)/7463 weeks
22677.86965 70.3343 (226*2π)/7463 weeks
22766.58932 67.94315 (227*2π)/7463 weeks
22857.42 62.75047 (228*2π)/7463 weeks
22952.89918 54.37084 (229*2π)/7463 weeks
23051.622 46.69619 (230*2π)/7463 weeks
23154.65117 39.35289 (231*2π)/7463 weeks
23262.71766 35.6025 (232*2π)/7463 weeks
23369.52142 39.7188 (233*2π)/7463 weeks
23471.3685 45.48389 (234*2π)/7463 weeks
23571.15597 51.56565 (235*2π)/7463 weeks
23668.11523 58.92197 (236*2π)/7463 weeks
23755.83309 64.69082 (237*2π)/7463 weeks
23845.57797 58.1255 (238*2π)/7463 weeks
23940.03725 51.41077 (239*2π)/7463 weeks
24036.22978 42.92226 (240*2π)/7463 weeks
24136.43932 31.1926 (241*2π)/7463 weeks
24242.13313 21.4224 (242*2π)/7463 weeks
24352.52011 13.54137 (243*2π)/7463 weeks
24466.20544 10.894 (244*2π)/7463 weeks
24580.27021 17.80603 (245*2π)/7463 weeks
24689.38156 26.9572 (246*2π)/7463 weeks
24794.29422 42.25189 (247*2π)/7463 weeks
24889.08219 57.63119 (248*2π)/7463 weeks
24981.00445 65.41582 (249*2π)/7463 weeks
25071.4108 71.94772 (250*2π)/7463 weeks
25158.95553 74.08253 (251*2π)/7463 weeks
25247.84059 68.67433 (252*2π)/7463 weeks
25345.22931 62.21817 (253*2π)/7463 weeks
25441.14481 57.84678 (254*2π)/7463 weeks
25540.11515 52.88729 (255*2π)/7463 weeks
25641.51186 49.18304 (256*2π)/7463 weeks
25739.53674 46.09485 (257*2π)/7463 weeks
25844.02687 42.52576 (258*2π)/7463 weeks
25945.44302 43.3643 (259*2π)/7463 weeks
26046.78543 44.65486 (260*2π)/7463 weeks
26144.51557 46.40001 (261*2π)/7463 weeks
26241.03183 45.15928 (262*2π)/7463 weeks
26341.45452 40.3725 (263*2π)/7463 weeks
26443.91798 39.08397 (264*2π)/7463 weeks
26546.56425 40.47528 (265*2π)/7463 weeks
26646.24743 41.42676 (266*2π)/7463 weeks
26749.69503 43.81702 (267*2π)/7463 weeks
26846.62144 51.06834 (268*2π)/7463 weeks
26939.6991 51.6518 (269*2π)/7463 weeks
27036.73154 52.98849 (270*2π)/7463 weeks
27128.95882 53.26978 (271*2π)/7463 weeks
27220.51057 50.42573 (272*2π)/7463 weeks
27312.44798 42.08443 (273*2π)/7463 weeks
2749.49656 30.49169 (274*2π)/7463 weeks
27512.12066 19.02738 (275*2π)/7463 weeks
27617.20974 10.32759 (276*2π)/7463 weeks
27724.69889 4.00879 (277*2π)/7463 weeks
27834.62029 -1.18211 (278*2π)/7463 weeks
27946.46184 .37842 (279*2π)/7463 weeks
28053.78002 7.66586 (280*2π)/7463 weeks
28155.58105 14.22171 (281*2π)/7463 weeks
28254.72721 18.44215 (282*2π)/7463 weeks
28354.71782 20.57844 (283*2π)/7463 weeks
28454.89892 23.20799 (284*2π)/7463 weeks
28553.31313 27.84433 (285*2π)/7463 weeks
28648.62041 25.63147 (286*2π)/7463 weeks
28750.433 24.29326 (287*2π)/7463 weeks
28853.38924 24.91402 (288*2π)/7463 weeks
28954.26332 27.58098 (289*2π)/7463 weeks
29055.67765 32.44624 (290*2π)/7463 weeks
29153.88646 37.79521 (291*2π)/7463 weeks
29248.25261 44.27037 (292*2π)/7463 weeks
29339.11778 45.42231 (293*2π)/7463 weeks
29430.93159 45.24596 (294*2π)/7463 weeks
29520.7768 40.12708 (295*2π)/7463 weeks
29612.64606 28.87187 (296*2π)/7463 weeks
29712.99002 15.74208 (297*2π)/7463 weeks
29819.023 3.90003 (298*2π)/7463 weeks
29927.44722 -1.85509 (299*2π)/7462 weeks
30036.0554 -6.54851 (300*2π)/7462 weeks
30149.5232 -7.82503 (301*2π)/7462 weeks
30261.54444 .65092 (302*2π)/7462 weeks
30366.43353 11.97394 (303*2π)/7462 weeks
30463.75325 24.94758 (304*2π)/7462 weeks
30558.72854 31.42876 (305*2π)/7462 weeks
30650.89852 37.41652 (306*2π)/7462 weeks
30741.3513 39.30039 (307*2π)/7462 weeks
30831.94649 36.86032 (308*2π)/7462 weeks
30923.80261 29.30946 (309*2π)/7462 weeks
31024.31506 19.78112 (310*2π)/7462 weeks
31125.33651 15.69748 (311*2π)/7462 weeks
31226.93118 10.32969 (312*2π)/7462 weeks
31332.34119 5.0215 (313*2π)/7462 weeks
31440.90702 8.14333 (314*2π)/7462 weeks
31540.99082 15.19396 (315*2π)/7462 weeks
31637.21057 19.37016 (316*2π)/7462 weeks
31730.48162 20.55017 (317*2π)/7462 weeks
31825.43584 18.18584 (318*2π)/7462 weeks
31917.90326 14.89678 (319*2π)/7462 weeks
32013.48389 4.5526 (320*2π)/7462 weeks
32113.08714 -5.29611 (321*2π)/7462 weeks
32217.50688 -16.95517 (322*2π)/7462 weeks
32327.39263 -26.00663 (323*2π)/7462 weeks
32440.91534 -27.37388 (324*2π)/7462 weeks
32549.61869 -23.38486 (325*2π)/7462 weeks
32656.06549 -18.13897 (326*2π)/7462 weeks
32760.17987 -12.16812 (327*2π)/7462 weeks
32859.14186 -3.80665 (328*2π)/7462 weeks
32953.89711 -.60403 (329*2π)/7462 weeks
33049.16754 -2.61436 (330*2π)/7462 weeks
33147.50895 -7.95815 (331*2π)/7462 weeks
33250.64786 -12.62046 (332*2π)/7462 weeks
33354.99481 -17.43213 (333*2π)/7462 weeks
33463.24866 -19.88372 (334*2π)/7462 weeks
33575.00301 -19.57079 (335*2π)/7462 weeks
33687.21117 -11.03744 (336*2π)/7462 weeks
33793.22809 4.66184 (337*2π)/7462 weeks
33891.06747 17.22743 (338*2π)/7462 weeks
33989.10585 32.42435 (339*2π)/7462 weeks
34077.85551 46.05726 (340*2π)/7462 weeks
34159.10069 56.00696 (341*2π)/7462 weeks
34239.40974 53.05073 (342*2π)/7462 weeks
34323.44565 44.64275 (343*2π)/7462 weeks
34412.27805 31.21302 (344*2π)/7462 weeks
3455.48096 15.17209 (345*2π)/7462 weeks
3465.58475 -4.62523 (346*2π)/7462 weeks
34718.53106 -22.51677 (347*2π)/7462 weeks
34833.17941 -26.55679 (348*2π)/7462 weeks
34945.80402 -30.56463 (349*2π)/7462 weeks
35062.24932 -27.58463 (350*2π)/7462 weeks
35173.58343 -16.18305 (351*2π)/7462 weeks
35277.61665 -2.69798 (352*2π)/7462 weeks
35375.64352 9.90062 (353*2π)/7462 weeks
35468.00735 19.55862 (354*2π)/7462 weeks
35558.92678 22.9769 (355*2π)/7462 weeks
35651.59427 23.02145 (356*2π)/7462 weeks
35745.76308 22.89542 (357*2π)/7462 weeks
35838.07392 20.14249 (358*2π)/7462 weeks
35934.12912 15.00956 (359*2π)/7462 weeks
36030.5642 9.75608 (360*2π)/7462 weeks
36130.20081 3.52824 (361*2π)/7462 weeks
36231.19271 -.30431 (362*2π)/7462 weeks
36329.63735 -4.47745 (363*2π)/7462 weeks
36431.92888 -11.48518 (364*2π)/7462 weeks
36535.91238 -14.71637 (365*2π)/7462 weeks
36638.18273 -17.77872 (366*2π)/7462 weeks
36740.62831 -22.38627 (367*2π)/7462 weeks
36847.44084 -29.182 (368*2π)/7462 weeks
36960.42875 -31.28371 (369*2π)/7462 weeks
37069.48594 -24.25047 (370*2π)/7462 weeks
37175.87723 -18.7156 (371*2π)/7462 weeks
37281.63749 -11.87578 (372*2π)/7462 weeks
37385.10069   (373*2π)/7462 weeks
37481.63749 11.87578 (374*2π)/7462 weeks
37575.87723 18.7156 (375*2π)/7462 weeks
37669.48594 24.25047 (376*2π)/7462 weeks
37760.42875 31.28371 (377*2π)/7462 weeks
37847.44084 29.182 (378*2π)/7462 weeks
37940.62831 22.38627 (379*2π)/7462 weeks
38038.18273 17.77872 (380*2π)/7462 weeks
38135.91238 14.71637 (381*2π)/7462 weeks
38231.92888 11.48518 (382*2π)/7462 weeks
38329.63735 4.47745 (383*2π)/7462 weeks
38431.19271 .30431 (384*2π)/7462 weeks
38530.20081 -3.52824 (385*2π)/7462 weeks
38630.5642 -9.75608 (386*2π)/7462 weeks
38734.12912 -15.00956 (387*2π)/7462 weeks
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