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Fourier Analysis of XGTI (XG Technology Inc)


XGTI (XG Technology Inc) appears to have interesting cyclic behaviour every 30 weeks (910.8043*sine), 21 weeks (784.629*sine), and 23 weeks (770.6651*sine).

XGTI (XG Technology Inc) has an average price of 4,548.12 (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 4/18/2012 to 1/8/2018 for XGTI (XG Technology Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
04,548.117   0 
15,435.461 4,772.242 (1*2π)/300300 weeks
22,207.461 4,256.277 (2*2π)/300150 weeks
3561.7128 3,357.284 (3*2π)/300100 weeks
4159.9817 1,853.268 (4*2π)/30075 weeks
5601.2722 1,588.045 (5*2π)/30060 weeks
6253.2301 1,518.013 (6*2π)/30050 weeks
7228.4739 1,101.12 (7*2π)/30043 weeks
8289.1931 924.6157 (8*2π)/30038 weeks
9419.1738 904.8078 (9*2π)/30033 weeks
10192.6781 910.8043 (10*2π)/30030 weeks
11227.7515 548.0409 (11*2π)/30027 weeks
12518.1362 556.3981 (12*2π)/30025 weeks
13515.2833 770.6651 (13*2π)/30023 weeks
14367.7464 784.629 (14*2π)/30021 weeks
15299.4699 766.1625 (15*2π)/30020 weeks
16168.7088 708.1807 (16*2π)/30019 weeks
17157.0623 499.9156 (17*2π)/30018 weeks
18337.2003 481.1389 (18*2π)/30017 weeks
19337.1904 565.5993 (19*2π)/30016 weeks
20332.1138 637.0942 (20*2π)/30015 weeks
21171.4559 711.9317 (21*2π)/30014 weeks
22-18.49721 543.9139 (22*2π)/30014 weeks
2388.93388 293.7841 (23*2π)/30013 weeks
24288.613 355.2119 (24*2π)/30013 weeks
25214.1861 440.1097 (25*2π)/30012 weeks
26238.6961 345.8117 (26*2π)/30012 weeks
27306.5881 399.9915 (27*2π)/30011 weeks
28334.1971 439.7677 (28*2π)/30011 weeks
29322.8722 567.0801 (29*2π)/30010 weeks
30174.2458 658.8514 (30*2π)/30010 weeks
31-54.7898 572.0535 (31*2π)/30010 weeks
32-60.56517 309.8816 (32*2π)/3009 weeks
3398.92903 240.7751 (33*2π)/3009 weeks
34158.4523 259.7107 (34*2π)/3009 weeks
35229.2207 248.9071 (35*2π)/3009 weeks
36314.0025 326.13 (36*2π)/3008 weeks
37312.1458 421.8904 (37*2π)/3008 weeks
38302.4456 523.5562 (38*2π)/3008 weeks
39176.0196 664.4469 (39*2π)/3008 weeks
40-64.56829 631.7786 (40*2π)/3008 weeks
41-157.565 439.969 (41*2π)/3007 weeks
42-104.7223 314.7044 (42*2π)/3007 weeks
43-59.67368 286.7427 (43*2π)/3007 weeks
44-69.64122 240.0856 (44*2π)/3007 weeks
45-5.48339 155.3541 (45*2π)/3007 weeks
4695.77966 156.5417 (46*2π)/3007 weeks
47191.3261 217.0933 (47*2π)/3006 weeks
48202.9452 381.6985 (48*2π)/3006 weeks
4931.01458 496.2017 (49*2π)/3006 weeks
50-161.5175 385.4828 (50*2π)/3006 weeks
51-153.3019 209.8013 (51*2π)/3006 weeks
52-78.73288 164.3327 (52*2π)/3006 weeks
53-78.5131 134.728 (53*2π)/3006 weeks
54-20.12542 56.07581 (54*2π)/3006 weeks
5587.697 61.77496 (55*2π)/3005 weeks
56151.2099 140.906 (56*2π)/3005 weeks
57126.6447 233.4882 (57*2π)/3005 weeks
5846.98545 265.5077 (58*2π)/3005 weeks
59-25.2475 212.0959 (59*2π)/3005 weeks
6018.12918 141.9629 (60*2π)/3005 weeks
6153.22506 189.5963 (61*2π)/3005 weeks
624.63484 218.2402 (62*2π)/3005 weeks
63-62.36178 183.8491 (63*2π)/3005 weeks
64-63.03144 98.20773 (64*2π)/3005 weeks
65-20.46808 50.56487 (65*2π)/3005 weeks
6651.9506 35.41482 (66*2π)/3005 weeks
6793.55653 90.304 (67*2π)/3004 weeks
6870.62737 141.0576 (68*2π)/3004 weeks
693.59261 132.7021 (69*2π)/3004 weeks
707.66121 61.2714 (70*2π)/3004 weeks
7151.72194 52.73724 (71*2π)/3004 weeks
7272.69772 48.26691 (72*2π)/3004 weeks
73115.4659 77.03753 (73*2π)/3004 weeks
7486.97801 125.8877 (74*2π)/3004 weeks
7546.33453 116.6535 (75*2π)/3004 weeks
7626.79386 77.41 (76*2π)/3004 weeks
7758.38852 46.84258 (77*2π)/3004 weeks
7871.91919 49.71724 (78*2π)/3004 weeks
79103.2462 42.08964 (79*2π)/3004 weeks
80104.7266 79.18055 (80*2π)/3004 weeks
8197.25733 60.59678 (81*2π)/3004 weeks
82115.6026 80.43449 (82*2π)/3004 weeks
8395.47934 74.0171 (83*2π)/3004 weeks
84131.3002 65.75724 (84*2π)/3004 weeks
85139.2614 114.5923 (85*2π)/3004 weeks
8698.71706 141.5199 (86*2π)/3003 weeks
8747.47865 121.8971 (87*2π)/3003 weeks
8841.4746 58.10961 (88*2π)/3003 weeks
8996.66756 25.84815 (89*2π)/3003 weeks
90153.3616 52.40659 (90*2π)/3003 weeks
91166.6047 122.0591 (91*2π)/3003 weeks
92106.8647 177.0421 (92*2π)/3003 weeks
9318.3876 141.7979 (93*2π)/3003 weeks
9431.57324 47.53399 (94*2π)/3003 weeks
95101.6591 36.7422 (95*2π)/3003 weeks
96141.748 73.24763 (96*2π)/3003 weeks
97139.5463 131.2104 (97*2π)/3003 weeks
9896.03475 164.8421 (98*2π)/3003 weeks
9940.48431 168.3646 (99*2π)/3003 weeks
100-12.11912 126.5409 (100*2π)/3003 weeks
101-18.70381 63.55716 (101*2π)/3003 weeks
10211.65847 5.6323 (102*2π)/3003 weeks
10386.20589 -9.75628 (103*2π)/3003 weeks
104130.1005 48.03599 (104*2π)/3003 weeks
10593.48664 90.95414 (105*2π)/3003 weeks
10671.14101 57.19329 (106*2π)/3003 weeks
107120.2683 56.32618 (107*2π)/3003 weeks
108115.3428 124.6889 (108*2π)/3003 weeks
10943.65081 127.5264 (109*2π)/3003 weeks
11031.82869 81.32037 (110*2π)/3003 weeks
11142.07005 71.30824 (111*2π)/3003 weeks
11232.22248 63.62263 (112*2π)/3003 weeks
11343.07454 32.9717 (113*2π)/3003 weeks
11459.49775 40.95127 (114*2π)/3003 weeks
11567.889 18.79915 (115*2π)/3003 weeks
116111.6277 39.606 (116*2π)/3003 weeks
117100.9634 80.97084 (117*2π)/3003 weeks
11879.0266 85.70497 (118*2π)/3003 weeks
11980.49225 99.94601 (119*2π)/3003 weeks
12027.88089 132.3226 (120*2π)/3003 weeks
121-33.72018 67.0312 (121*2π)/3002 weeks
1228.54266 11.02151 (122*2π)/3002 weeks
12320.92303 18.62888 (123*2π)/3002 weeks
12426.4569 -22.97039 (124*2π)/3002 weeks
125102.5739 -29.41946 (125*2π)/3002 weeks
126126.2955 47.9242 (126*2π)/3002 weeks
12776.45863 83.76758 (127*2π)/3002 weeks
12835.37576 72.83453 (128*2π)/3002 weeks
1299.57812 38.221 (129*2π)/3002 weeks
13031.02395 -14.92305 (130*2π)/3002 weeks
13195.6712 1.97452 (131*2π)/3002 weeks
13273.51743 61.40684 (132*2π)/3002 weeks
13323.14059 39.47985 (133*2π)/3002 weeks
13436.61325 -2.6427 (134*2π)/3002 weeks
13561.23906 -.76719 (135*2π)/3002 weeks
13668.16855 1.30404 (136*2π)/3002 weeks
13779.22987 5.17494 (137*2π)/3002 weeks
13889.50587 19.83024 (138*2π)/3002 weeks
13976.09167 36.40006 (139*2π)/3002 weeks
14074.8017 28.98692 (140*2π)/3002 weeks
14175.2505 60.39242 (141*2π)/3002 weeks
14216.80226 61.30201 (142*2π)/3002 weeks
1432.77631 -.62767 (143*2π)/3002 weeks
14446.37213 -29.52432 (144*2π)/3002 weeks
14583.0573 -12.81392 (145*2π)/3002 weeks
14690.10043 22.62977 (146*2π)/3002 weeks
14766.13422 50.93879 (147*2π)/3002 weeks
14817.84926 46.56517 (148*2π)/3002 weeks
14912.3606 -9.76552 (149*2π)/3002 weeks
15051.66791   (150*2π)/3002 weeks
15112.3606 9.76552 (151*2π)/3002 weeks
15217.84926 -46.56517 (152*2π)/3002 weeks
15366.13422 -50.93879 (153*2π)/3002 weeks
15490.10043 -22.62977 (154*2π)/3002 weeks
15583.0573 12.81392 (155*2π)/3002 weeks
15646.37213 29.52432 (156*2π)/3002 weeks
1572.77631 .62767 (157*2π)/3002 weeks
15816.80226 -61.30201 (158*2π)/3002 weeks
15975.2505 -60.39242 (159*2π)/3002 weeks
16074.8017 -28.98692 (160*2π)/3002 weeks
16176.09167 -36.40006 (161*2π)/3002 weeks
16289.50587 -19.83024 (162*2π)/3002 weeks
16379.22987 -5.17494 (163*2π)/3002 weeks
16468.16855 -1.30404 (164*2π)/3002 weeks
16561.23906 .76719 (165*2π)/3002 weeks
16636.61325 2.6427 (166*2π)/3002 weeks
16723.14059 -39.47985 (167*2π)/3002 weeks
16873.51743 -61.40684 (168*2π)/3002 weeks
16995.6712 -1.97452 (169*2π)/3002 weeks
17031.02395 14.92305 (170*2π)/3002 weeks
1719.57812 -38.221 (171*2π)/3002 weeks
17235.37576 -72.83453 (172*2π)/3002 weeks
17376.45863 -83.76758 (173*2π)/3002 weeks
174126.2955 -47.9242 (174*2π)/3002 weeks
175102.5739 29.41946 (175*2π)/3002 weeks
17626.4569 22.97039 (176*2π)/3002 weeks
17720.92303 -18.62888 (177*2π)/3002 weeks
1788.54266 -11.02151 (178*2π)/3002 weeks
179-33.72018 -67.0312 (179*2π)/3002 weeks
18027.88089 -132.3226 (180*2π)/3002 weeks
18180.49225 -99.94601 (181*2π)/3002 weeks
18279.0266 -85.70497 (182*2π)/3002 weeks
183100.9634 -80.97084 (183*2π)/3002 weeks
184111.6277 -39.606 (184*2π)/3002 weeks
18567.889 -18.79915 (185*2π)/3002 weeks
18659.49775 -40.95127 (186*2π)/3002 weeks
18743.07454 -32.9717 (187*2π)/3002 weeks
18832.22248 -63.62263 (188*2π)/3002 weeks
18942.07005 -71.30824 (189*2π)/3002 weeks
19031.82869 -81.32037 (190*2π)/3002 weeks
19143.65081 -127.5264 (191*2π)/3002 weeks
192115.3428 -124.6889 (192*2π)/3002 weeks
193120.2683 -56.32618 (193*2π)/3002 weeks
19471.14101 -57.19329 (194*2π)/3002 weeks
19593.48664 -90.95414 (195*2π)/3002 weeks
196130.1005 -48.03599 (196*2π)/3002 weeks
19786.20589 9.75628 (197*2π)/3002 weeks
19811.65847 -5.6323 (198*2π)/3002 weeks
199-18.70381 -63.55716 (199*2π)/3002 weeks
200-12.11912 -126.5409 (200*2π)/3002 weeks
20140.48431 -168.3646 (201*2π)/3001 weeks
20296.03475 -164.8421 (202*2π)/3001 weeks
203139.5463 -131.2104 (203*2π)/3001 weeks
204141.748 -73.24763 (204*2π)/3001 weeks
205101.6591 -36.7422 (205*2π)/3001 weeks
20631.57324 -47.53399 (206*2π)/3001 weeks
20718.3876 -141.7979 (207*2π)/3001 weeks
208106.8647 -177.0421 (208*2π)/3001 weeks
209166.6047 -122.0591 (209*2π)/3001 weeks
210153.3616 -52.40659 (210*2π)/3001 weeks
21196.66756 -25.84815 (211*2π)/3001 weeks
21241.4746 -58.10961 (212*2π)/3001 weeks
21347.47865 -121.8971 (213*2π)/3001 weeks
21498.71706 -141.5199 (214*2π)/3001 weeks
215139.2614 -114.5923 (215*2π)/3001 weeks
216131.3002 -65.75724 (216*2π)/3001 weeks
21795.47934 -74.0171 (217*2π)/3001 weeks
218115.6026 -80.43449 (218*2π)/3001 weeks
21997.25733 -60.59678 (219*2π)/3001 weeks
220104.7266 -79.18055 (220*2π)/3001 weeks
221103.2462 -42.08964 (221*2π)/3001 weeks
22271.91919 -49.71724 (222*2π)/3001 weeks
22358.38852 -46.84258 (223*2π)/3001 weeks
22426.79386 -77.41 (224*2π)/3001 weeks
22546.33453 -116.6535 (225*2π)/3001 weeks
22686.97801 -125.8877 (226*2π)/3001 weeks
227115.4659 -77.03753 (227*2π)/3001 weeks
22872.69772 -48.26691 (228*2π)/3001 weeks
22951.72194 -52.73724 (229*2π)/3001 weeks
2307.66121 -61.2714 (230*2π)/3001 weeks
2313.59261 -132.7021 (231*2π)/3001 weeks
23270.62737 -141.0576 (232*2π)/3001 weeks
23393.55653 -90.304 (233*2π)/3001 weeks
23451.9506 -35.41482 (234*2π)/3001 weeks
235-20.46808 -50.56487 (235*2π)/3001 weeks
236-63.03144 -98.20773 (236*2π)/3001 weeks
237-62.36178 -183.8491 (237*2π)/3001 weeks
2384.63484 -218.2402 (238*2π)/3001 weeks
23953.22506 -189.5963 (239*2π)/3001 weeks
24018.12918 -141.9629 (240*2π)/3001 weeks
241-25.2475 -212.0959 (241*2π)/3001 weeks
24246.98545 -265.5077 (242*2π)/3001 weeks
243126.6447 -233.4882 (243*2π)/3001 weeks
244151.2099 -140.906 (244*2π)/3001 weeks
24587.697 -61.77496 (245*2π)/3001 weeks
246-20.12542 -56.07581 (246*2π)/3001 weeks
247-78.5131 -134.728 (247*2π)/3001 weeks
248-78.73288 -164.3327 (248*2π)/3001 weeks
249-153.3019 -209.8013 (249*2π)/3001 weeks
250-161.5175 -385.4828 (250*2π)/3001 weeks
25131.01458 -496.2017 (251*2π)/3001 weeks
252202.9452 -381.6985 (252*2π)/3001 weeks
253191.3261 -217.0933 (253*2π)/3001 weeks
25495.77966 -156.5417 (254*2π)/3001 weeks
255-5.48339 -155.3541 (255*2π)/3001 weeks
256-69.64122 -240.0856 (256*2π)/3001 weeks
257-59.67368 -286.7427 (257*2π)/3001 weeks
258-104.7223 -314.7044 (258*2π)/3001 weeks
259-157.565 -439.969 (259*2π)/3001 weeks
260-64.56829 -631.7786 (260*2π)/3001 weeks
261176.0196 -664.4469 (261*2π)/3001 weeks
262302.4456 -523.5562 (262*2π)/3001 weeks
263312.1458 -421.8904 (263*2π)/3001 weeks
264314.0025 -326.13 (264*2π)/3001 weeks
265229.2207 -248.9071 (265*2π)/3001 weeks
266158.4523 -259.7107 (266*2π)/3001 weeks
26798.92903 -240.7751 (267*2π)/3001 weeks
268-60.56517 -309.8816 (268*2π)/3001 weeks
269-54.7898 -572.0535 (269*2π)/3001 weeks
270174.2458 -658.8514 (270*2π)/3001 weeks
271322.8722 -567.0801 (271*2π)/3001 weeks
272334.1971 -439.7677 (272*2π)/3001 weeks
273306.5881 -399.9915 (273*2π)/3001 weeks
274238.6961 -345.8117 (274*2π)/3001 weeks
275214.1861 -440.1097 (275*2π)/3001 weeks
276288.613 -355.2119 (276*2π)/3001 weeks
27788.93388 -293.7841 (277*2π)/3001 weeks
278-18.49721 -543.9139 (278*2π)/3001 weeks
279171.4559 -711.9317 (279*2π)/3001 weeks
280332.1138 -637.0942 (280*2π)/3001 weeks
281337.1904 -565.5993 (281*2π)/3001 weeks
282337.2003 -481.1389 (282*2π)/3001 weeks
283157.0623 -499.9156 (283*2π)/3001 weeks
284168.7088 -708.1807 (284*2π)/3001 weeks
285299.4699 -766.1625 (285*2π)/3001 weeks
286367.7464 -784.629 (286*2π)/3001 weeks
287515.2833 -770.6651 (287*2π)/3001 weeks
288518.1362 -556.3981 (288*2π)/3001 weeks
289227.7515 -548.0409 (289*2π)/3001 weeks
290192.6781 -910.8043 (290*2π)/3001 weeks
291419.1738 -904.8078 (291*2π)/3001 weeks
292289.1931 -924.6157 (292*2π)/3001 weeks
293228.4739 -1,101.12 (293*2π)/3001 weeks
294253.2301 -1,518.013 (294*2π)/3001 weeks
295601.2722 -1,588.045 (295*2π)/3001 weeks
296159.9817 -1,853.268 (296*2π)/3001 weeks
297561.7128 -3,357.284 (297*2π)/3001 weeks
2982,207.461 -4,256.277 (298*2π)/3001 weeks



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