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Fourier Analysis of XGTI (XG Technology, Inc)


XGTI (XG Technology, Inc) appears to have interesting cyclic behaviour every 20 weeks (2271.418*cosine), 22 weeks (2095.665*sine), and 8 weeks (1821.908*cosine).

XGTI (XG Technology, Inc) has an average price of 14,517.74 (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 3/20/2017 for XGTI (XG Technology, Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
014,517.74   0 
1-7,318.371 19,980.82 (1*2π)/258258 weeks
2-9,216.488 -3,593.559 (2*2π)/258129 weeks
3-435.0645 -8,392.662 (3*2π)/25886 weeks
410,521.87 -823.1995 (4*2π)/25865 weeks
5568.3036 9,540.146 (5*2π)/25852 weeks
6-6,225.33 1,448.801 (6*2π)/25843 weeks
7-2,221.357 -4,876.529 (7*2π)/25837 weeks
84,414.141 -1,516.68 (8*2π)/25832 weeks
91,427.234 2,348.986 (9*2π)/25829 weeks
10-178.6319 1,961.039 (10*2π)/25826 weeks
11-1,919.99 1,076.613 (11*2π)/25823 weeks
12-1,286.248 -2,095.665 (12*2π)/25822 weeks
132,271.418 -1,207.398 (13*2π)/25820 weeks
141,356.233 1,826.291 (14*2π)/25818 weeks
15-524.9611 1,341.524 (15*2π)/25817 weeks
16-1,551.156 372.858 (16*2π)/25816 weeks
17-44.91714 -1,601.092 (17*2π)/25815 weeks
181,445.837 135.9908 (18*2π)/25814 weeks
193.96057 909.8102 (19*2π)/25814 weeks
20215.3307 111.1773 (20*2π)/25813 weeks
21-263.9635 1,179.132 (21*2π)/25812 weeks
22-1,257.922 -768.316 (22*2π)/25812 weeks
23884.361 -859.4805 (23*2π)/25811 weeks
241,155.91 245.251 (24*2π)/25811 weeks
25420.3934 1,405.446 (25*2π)/25810 weeks
26-1,112.997 1,083.792 (26*2π)/25810 weeks
27-1,460.97 -1,198.396 (27*2π)/25810 weeks
281,521.423 -1,453.426 (28*2π)/2589 weeks
291,483.161 1,385.711 (29*2π)/2589 weeks
30-747.4798 1,428.882 (30*2π)/2589 weeks
31-1,278.712 -81.06828 (31*2π)/2588 weeks
32-207.6211 -1,446.095 (32*2π)/2588 weeks
331,821.908 -349.393 (33*2π)/2588 weeks
34597.512 1,886.245 (34*2π)/2588 weeks
35-1,407.871 761.0423 (35*2π)/2587 weeks
36-691.5322 -891.2411 (36*2π)/2587 weeks
37650.5347 -551.9464 (37*2π)/2587 weeks
38540.1184 353.0189 (38*2π)/2587 weeks
39104.5621 660.3763 (39*2π)/2587 weeks
40-600.0452 201.2638 (40*2π)/2586 weeks
41-1.21513 -330.2231 (41*2π)/2586 weeks
42171.4711 201.5328 (42*2π)/2586 weeks
43-217.8772 -146.0495 (43*2π)/2586 weeks
44628.4108 -141.4408 (44*2π)/2586 weeks
45185.5661 1,048.018 (45*2π)/2586 weeks
46-1,140.33 194.9484 (46*2π)/2586 weeks
47-251.9887 -1,011.677 (47*2π)/2585 weeks
48988.2394 -455.8619 (48*2π)/2585 weeks
49739.1453 893.2685 (49*2π)/2585 weeks
50-622.8644 1,026.638 (50*2π)/2585 weeks
51-1,162.106 -517.3914 (51*2π)/2585 weeks
52516.7364 -1,023.002 (52*2π)/2585 weeks
53973.2869 257.3615 (53*2π)/2585 weeks
5436.88492 994.9882 (54*2π)/2585 weeks
55-734.9904 287.288 (55*2π)/2585 weeks
56-573.6679 -524.0349 (56*2π)/2585 weeks
57467.7718 -696.7225 (57*2π)/2585 weeks
58796.647 260.4622 (58*2π)/2584 weeks
59-60.52136 903.0139 (59*2π)/2584 weeks
60-725.6188 11.02531 (60*2π)/2584 weeks
61-165.3492 -428.4219 (61*2π)/2584 weeks
62272.4963 -478.2702 (62*2π)/2584 weeks
63712.593 251.3279 (63*2π)/2584 weeks
64-85.05058 666.6363 (64*2π)/2584 weeks
65-601.8037 135.5841 (65*2π)/2584 weeks
66-157.1419 -549.7262 (66*2π)/2584 weeks
67340.6826 -233.1954 (67*2π)/2584 weeks
68534.9307 129.8139 (68*2π)/2584 weeks
69-116.9906 602.8913 (69*2π)/2584 weeks
70-309.7282 -9.62099 (70*2π)/2584 weeks
71-280.1821 -168.4079 (71*2π)/2584 weeks
72253.6454 -537.5601 (72*2π)/2584 weeks
73642.8528 203.0446 (73*2π)/2584 weeks
7442.53469 650.6744 (74*2π)/2583 weeks
75-607.9736 219.2059 (75*2π)/2583 weeks
76-290.1799 -553.3881 (76*2π)/2583 weeks
77469.9153 -435.1997 (77*2π)/2583 weeks
78648.5406 296.9911 (78*2π)/2583 weeks
79-45.93548 775.7402 (79*2π)/2583 weeks
80-848.2394 86.34378 (80*2π)/2583 weeks
81-44.97642 -823.4052 (81*2π)/2583 weeks
82706.7346 -154.3694 (82*2π)/2583 weeks
83380.9638 566.945 (83*2π)/2583 weeks
84-371.3571 458.9261 (84*2π)/2583 weeks
85-410.8132 -164.6595 (85*2π)/2583 weeks
8633.27782 -417.9203 (86*2π)/2583 weeks
87409.7378 -42.14338 (87*2π)/2583 weeks
88182.8447 244.2593 (88*2π)/2583 weeks
89-.09726 314.0847 (89*2π)/2583 weeks
90-418.8163 210.6965 (90*2π)/2583 weeks
91-358.1258 -592.0533 (91*2π)/2583 weeks
92785.7539 -468.8822 (92*2π)/2583 weeks
93530.5822 835.9561 (93*2π)/2583 weeks
94-673.4962 469.557 (94*2π)/2583 weeks
95-410.3674 -424.8005 (95*2π)/2583 weeks
96229.0405 -413.2864 (96*2π)/2583 weeks
97485.7572 -52.19872 (97*2π)/2583 weeks
98201.0285 613.8956 (98*2π)/2583 weeks
99-461.0747 140.3669 (99*2π)/2583 weeks
100-186.3726 -210.2982 (100*2π)/2583 weeks
10142.91607 -324.9226 (101*2π)/2583 weeks
102518.9684 -158.9588 (102*2π)/2583 weeks
103286.5801 701.8172 (103*2π)/2583 weeks
104-700.6284 186.6703 (104*2π)/2582 weeks
105-33.7196 -454.7852 (105*2π)/2582 weeks
106121.7073 -55.07711 (106*2π)/2582 weeks
107196.5743 -195.3075 (107*2π)/2582 weeks
108402.7639 329.9223 (108*2π)/2582 weeks
109-333.4419 415.4921 (109*2π)/2582 weeks
110-381.296 -217.5347 (110*2π)/2582 weeks
11128.95292 -406.0569 (111*2π)/2582 weeks
112520.0408 -256.6929 (112*2π)/2582 weeks
113469.3696 673.407 (113*2π)/2582 weeks
114-709.3926 509.6806 (114*2π)/2582 weeks
115-503.0524 -665.0164 (115*2π)/2582 weeks
116519.8651 -514.7668 (116*2π)/2582 weeks
117589.1531 275.5495 (117*2π)/2582 weeks
118-53.88257 595.0413 (118*2π)/2582 weeks
119-554.8206 170.5228 (119*2π)/2582 weeks
120-356.1547 -626.7571 (120*2π)/2582 weeks
121711.1351 -426.6804 (121*2π)/2582 weeks
122411.089 600.9472 (122*2π)/2582 weeks
123-365.2432 391.7066 (123*2π)/2582 weeks
124-408.9561 -160.0016 (124*2π)/2582 weeks
12522.31177 -443.8203 (125*2π)/2582 weeks
126452.028 -124.6734 (126*2π)/2582 weeks
127202.1791 437.632 (127*2π)/2582 weeks
128-313.1743 78.83607 (128*2π)/2582 weeks
12929.96145   (129*2π)/2582 weeks
130-313.1743 -78.83607 (130*2π)/2582 weeks
131202.1791 -437.632 (131*2π)/2582 weeks
132452.028 124.6734 (132*2π)/2582 weeks
13322.31177 443.8203 (133*2π)/2582 weeks
134-408.9561 160.0016 (134*2π)/2582 weeks
135-365.2432 -391.7066 (135*2π)/2582 weeks
136411.089 -600.9472 (136*2π)/2582 weeks
137711.1351 426.6804 (137*2π)/2582 weeks
138-356.1547 626.7571 (138*2π)/2582 weeks
139-554.8206 -170.5228 (139*2π)/2582 weeks
140-53.88257 -595.0413 (140*2π)/2582 weeks
141589.1531 -275.5495 (141*2π)/2582 weeks
142519.8651 514.7668 (142*2π)/2582 weeks
143-503.0524 665.0164 (143*2π)/2582 weeks
144-709.3926 -509.6806 (144*2π)/2582 weeks
145469.3696 -673.407 (145*2π)/2582 weeks
146520.0408 256.6929 (146*2π)/2582 weeks
14728.95292 406.0569 (147*2π)/2582 weeks
148-381.296 217.5347 (148*2π)/2582 weeks
149-333.4419 -415.4921 (149*2π)/2582 weeks
150402.7639 -329.9223 (150*2π)/2582 weeks
151196.5743 195.3075 (151*2π)/2582 weeks
152121.7073 55.07711 (152*2π)/2582 weeks
153-33.7196 454.7852 (153*2π)/2582 weeks
154-700.6284 -186.6703 (154*2π)/2582 weeks
155286.5801 -701.8172 (155*2π)/2582 weeks
156518.9684 158.9588 (156*2π)/2582 weeks
15742.91607 324.9226 (157*2π)/2582 weeks
158-186.3726 210.2982 (158*2π)/2582 weeks
159-461.0747 -140.3669 (159*2π)/2582 weeks
160201.0285 -613.8956 (160*2π)/2582 weeks
161485.7572 52.19872 (161*2π)/2582 weeks
162229.0405 413.2864 (162*2π)/2582 weeks
163-410.3674 424.8005 (163*2π)/2582 weeks
164-673.4962 -469.557 (164*2π)/2582 weeks
165530.5822 -835.9561 (165*2π)/2582 weeks
166785.7539 468.8822 (166*2π)/2582 weeks
167-358.1258 592.0533 (167*2π)/2582 weeks
168-418.8163 -210.6965 (168*2π)/2582 weeks
169-.09726 -314.0847 (169*2π)/2582 weeks
170182.8447 -244.2593 (170*2π)/2582 weeks
171409.7378 42.14338 (171*2π)/2582 weeks
17233.27782 417.9203 (172*2π)/2582 weeks
173-410.8132 164.6595 (173*2π)/2581 weeks
174-371.3571 -458.9261 (174*2π)/2581 weeks
175380.9638 -566.945 (175*2π)/2581 weeks
176706.7346 154.3694 (176*2π)/2581 weeks
177-44.97642 823.4052 (177*2π)/2581 weeks
178-848.2394 -86.34378 (178*2π)/2581 weeks
179-45.93548 -775.7402 (179*2π)/2581 weeks
180648.5406 -296.9911 (180*2π)/2581 weeks
181469.9153 435.1997 (181*2π)/2581 weeks
182-290.1799 553.3881 (182*2π)/2581 weeks
183-607.9736 -219.2059 (183*2π)/2581 weeks
18442.53469 -650.6744 (184*2π)/2581 weeks
185642.8528 -203.0446 (185*2π)/2581 weeks
186253.6454 537.5601 (186*2π)/2581 weeks
187-280.1821 168.4079 (187*2π)/2581 weeks
188-309.7282 9.62099 (188*2π)/2581 weeks
189-116.9906 -602.8913 (189*2π)/2581 weeks
190534.9307 -129.8139 (190*2π)/2581 weeks
191340.6826 233.1954 (191*2π)/2581 weeks
192-157.1419 549.7262 (192*2π)/2581 weeks
193-601.8037 -135.5841 (193*2π)/2581 weeks
194-85.05058 -666.6363 (194*2π)/2581 weeks
195712.593 -251.3279 (195*2π)/2581 weeks
196272.4963 478.2702 (196*2π)/2581 weeks
197-165.3492 428.4219 (197*2π)/2581 weeks
198-725.6188 -11.02531 (198*2π)/2581 weeks
199-60.52136 -903.0139 (199*2π)/2581 weeks
200796.647 -260.4622 (200*2π)/2581 weeks
201467.7718 696.7225 (201*2π)/2581 weeks
202-573.6679 524.0349 (202*2π)/2581 weeks
203-734.9904 -287.288 (203*2π)/2581 weeks
20436.88492 -994.9882 (204*2π)/2581 weeks
205973.2869 -257.3615 (205*2π)/2581 weeks
206516.7364 1,023.002 (206*2π)/2581 weeks
207-1,162.106 517.3914 (207*2π)/2581 weeks
208-622.8644 -1,026.638 (208*2π)/2581 weeks
209739.1453 -893.2685 (209*2π)/2581 weeks
210988.2394 455.8619 (210*2π)/2581 weeks
211-251.9887 1,011.677 (211*2π)/2581 weeks
212-1,140.33 -194.9484 (212*2π)/2581 weeks
213185.5661 -1,048.018 (213*2π)/2581 weeks
214628.4108 141.4408 (214*2π)/2581 weeks
215-217.8772 146.0495 (215*2π)/2581 weeks
216171.4711 -201.5328 (216*2π)/2581 weeks
217-1.21513 330.2231 (217*2π)/2581 weeks
218-600.0452 -201.2638 (218*2π)/2581 weeks
219104.5621 -660.3763 (219*2π)/2581 weeks
220540.1184 -353.0189 (220*2π)/2581 weeks
221650.5347 551.9464 (221*2π)/2581 weeks
222-691.5322 891.2411 (222*2π)/2581 weeks
223-1,407.871 -761.0423 (223*2π)/2581 weeks
224597.512 -1,886.245 (224*2π)/2581 weeks
2251,821.908 349.393 (225*2π)/2581 weeks
226-207.6211 1,446.095 (226*2π)/2581 weeks
227-1,278.712 81.06828 (227*2π)/2581 weeks
228-747.4798 -1,428.882 (228*2π)/2581 weeks
2291,483.161 -1,385.711 (229*2π)/2581 weeks
2301,521.423 1,453.426 (230*2π)/2581 weeks
231-1,460.97 1,198.396 (231*2π)/2581 weeks
232-1,112.997 -1,083.792 (232*2π)/2581 weeks
233420.3934 -1,405.446 (233*2π)/2581 weeks
2341,155.91 -245.251 (234*2π)/2581 weeks
235884.361 859.4805 (235*2π)/2581 weeks
236-1,257.922 768.316 (236*2π)/2581 weeks
237-263.9635 -1,179.132 (237*2π)/2581 weeks
238215.3307 -111.1773 (238*2π)/2581 weeks
2393.96057 -909.8102 (239*2π)/2581 weeks
2401,445.837 -135.9908 (240*2π)/2581 weeks
241-44.91714 1,601.092 (241*2π)/2581 weeks
242-1,551.156 -372.858 (242*2π)/2581 weeks
243-524.9611 -1,341.524 (243*2π)/2581 weeks
2441,356.233 -1,826.291 (244*2π)/2581 weeks
2452,271.418 1,207.398 (245*2π)/2581 weeks
246-1,286.248 2,095.665 (246*2π)/2581 weeks
247-1,919.99 -1,076.613 (247*2π)/2581 weeks
248-178.6319 -1,961.039 (248*2π)/2581 weeks
2491,427.234 -2,348.986 (249*2π)/2581 weeks
2504,414.141 1,516.68 (250*2π)/2581 weeks
251-2,221.357 4,876.529 (251*2π)/2581 weeks
252-6,225.33 -1,448.801 (252*2π)/2581 weeks
253568.3036 -9,540.146 (253*2π)/2581 weeks
25410,521.87 823.1995 (254*2π)/2581 weeks
255-435.0645 8,392.662 (255*2π)/2581 weeks
256-9,216.488 3,593.559 (256*2π)/2581 weeks

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