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Fourier Analysis of XGTI (XG Technology Inc)


XGTI (XG Technology Inc) appears to have interesting cyclic behaviour every 23 weeks (852.9615*sine), 21 weeks (847.133*sine), and 28 weeks (623.5185*sine).

XGTI (XG Technology Inc) has an average price of 4,961.43 (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 7/17/2017 for XGTI (XG Technology Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
04,961.426   0 
15,449.714 5,287.455 (1*2π)/275275 weeks
22,059.798 4,492.006 (2*2π)/275138 weeks
3274.6978 3,210.066 (3*2π)/27592 weeks
4409.6742 1,730.594 (4*2π)/27569 weeks
5533.1407 1,802.941 (5*2π)/27555 weeks
6196.9075 1,365.404 (6*2π)/27546 weeks
7294.4079 1,082.342 (7*2π)/27539 weeks
8435.7099 948.4524 (8*2π)/27534 weeks
9268.4698 1,039.263 (9*2π)/27531 weeks
10220.2995 623.5185 (10*2π)/27528 weeks
11565.2236 606.9716 (11*2π)/27525 weeks
12545.8049 852.9615 (12*2π)/27523 weeks
13386.3241 847.133 (13*2π)/27521 weeks
14294.1849 833.4791 (14*2π)/27520 weeks
15144.4148 700.0908 (15*2π)/27518 weeks
16266.4328 487.8768 (16*2π)/27517 weeks
17381.7421 593.4861 (17*2π)/27516 weeks
18372.3411 651.356 (18*2π)/27515 weeks
19252.8159 773.516 (19*2π)/27514 weeks
20.85783 647.377 (20*2π)/27514 weeks
2172.90117 334.2825 (21*2π)/27513 weeks
22314.8448 387.4953 (22*2π)/27513 weeks
23224.0453 472.6954 (23*2π)/27512 weeks
24285.0003 377.7729 (24*2π)/27511 weeks
25335.1074 448.1165 (25*2π)/27511 weeks
26379.2462 522.0472 (26*2π)/27511 weeks
27293.753 675.7316 (27*2π)/27510 weeks
2850.35883 706.6089 (28*2π)/27510 weeks
29-106.8008 433.3719 (29*2π)/2759 weeks
3067.98454 260.3436 (30*2π)/2759 weeks
31165.7397 283.8232 (31*2π)/2759 weeks
32239.882 270.1434 (32*2π)/2759 weeks
33342.5408 355.7675 (33*2π)/2758 weeks
34339.7083 467.7771 (34*2π)/2758 weeks
35319.8272 600.3723 (35*2π)/2758 weeks
36121.2714 743.053 (36*2π)/2758 weeks
37-134.6947 617.9033 (37*2π)/2757 weeks
38-154.5961 401.4627 (38*2π)/2757 weeks
39-78.40187 319.5049 (39*2π)/2757 weeks
40-72.15269 291.5835 (40*2π)/2757 weeks
41-36.65015 187.2837 (41*2π)/2757 weeks
4286.67622 166.1506 (42*2π)/2757 weeks
43199.7984 225.6916 (43*2π)/2756 weeks
44221.393 416.3943 (44*2π)/2756 weeks
4510.35368 541.3289 (45*2π)/2756 weeks
46-191.2777 380.6801 (46*2π)/2756 weeks
47-141.0403 201.0475 (47*2π)/2756 weeks
48-79.67747 177.5793 (48*2π)/2756 weeks
49-72.27232 103.9444 (49*2π)/2756 weeks
5044.77007 51.69044 (50*2π)/2756 weeks
51148.9658 115.5925 (51*2π)/2755 weeks
52154.6601 231.782 (52*2π)/2755 weeks
5368.63724 289.1979 (53*2π)/2755 weeks
54-24.14964 240.8075 (54*2π)/2755 weeks
5519.77467 154.8616 (55*2π)/2755 weeks
5655.36916 212.269 (56*2π)/2755 weeks
57-7.91599 237.6035 (57*2π)/2755 weeks
58-79.30753 174.782 (58*2π)/2755 weeks
59-52.41023 85.20818 (59*2π)/2755 weeks
608.99165 37.87454 (60*2π)/2755 weeks
6192.34539 67.15101 (61*2π)/2755 weeks
6292.65104 136.4779 (62*2π)/2754 weeks
6323.05969 159.3292 (63*2π)/2754 weeks
64-.73873 77.59834 (64*2π)/2754 weeks
6554.00359 56.62861 (65*2π)/2754 weeks
6679.30556 52.64934 (66*2π)/2754 weeks
67127.103 90.57789 (67*2π)/2754 weeks
6884.8923 138.7387 (68*2π)/2754 weeks
6941.48622 119.4591 (69*2π)/2754 weeks
7036.76151 65.09535 (70*2π)/2754 weeks
7175.6523 55.04976 (71*2π)/2754 weeks
7290.74809 43.48409 (72*2π)/2754 weeks
73124.861 74.91901 (73*2π)/2754 weeks
7499.61795 72.80615 (74*2π)/2754 weeks
75127.7931 81.32469 (75*2π)/2754 weeks
76104.0774 84.02798 (76*2π)/2754 weeks
77143.2353 71.73144 (77*2π)/2754 weeks
78149.244 129.3871 (78*2π)/2754 weeks
7997.33903 154.9522 (79*2π)/2753 weeks
8041.89473 116.2981 (80*2π)/2753 weeks
8162.8505 42.7191 (81*2π)/2753 weeks
82136.2316 34.232 (82*2π)/2753 weeks
83184.6288 95.36658 (83*2π)/2753 weeks
84148.4472 178.4741 (84*2π)/2753 weeks
8541.54629 178.1908 (85*2π)/2753 weeks
8621.80287 65.77786 (86*2π)/2753 weeks
87105.2992 38.03363 (87*2π)/2753 weeks
88154.6349 79.90369 (88*2π)/2753 weeks
89149.0285 148.1655 (89*2π)/2753 weeks
9094.7355 182.773 (90*2π)/2753 weeks
9125.73359 177.0844 (91*2π)/2753 weeks
92-21.31659 112.1993 (92*2π)/2753 weeks
93-11.64116 39.81709 (93*2π)/2753 weeks
9454.27116 -13.75573 (94*2π)/2753 weeks
95135.0233 24.1516 (95*2π)/2753 weeks
96117.9455 95.15008 (96*2π)/2753 weeks
9774.67544 71.48346 (97*2π)/2753 weeks
98126.4223 56.97655 (98*2π)/2753 weeks
99125.8263 136.0259 (99*2π)/2753 weeks
10042.81969 134.3754 (100*2π)/2753 weeks
10137.76055 84.10439 (101*2π)/2753 weeks
10245.11143 77.47829 (102*2π)/2753 weeks
10332.25227 57.08568 (103*2π)/2753 weeks
10462.73542 36.83259 (104*2π)/2753 weeks
10560.97673 34.86209 (105*2π)/2753 weeks
106108.988 25.74954 (106*2π)/2753 weeks
107117.8595 79.82557 (107*2π)/2753 weeks
10888.35107 94.37431 (108*2π)/2753 weeks
10988.39751 105.2937 (109*2π)/2753 weeks
11030.41315 144.3522 (110*2π)/2753 weeks
111-36.40866 63.62818 (111*2π)/2752 weeks
11218.04926 12.77598 (112*2π)/2752 weeks
11318.15387 13.71076 (113*2π)/2752 weeks
11453.94551 -40.78227 (114*2π)/2752 weeks
115139.1082 2.93972 (115*2π)/2752 weeks
116110.1545 83.35559 (116*2π)/2752 weeks
11752.74545 86.63601 (117*2π)/2752 weeks
11815.69571 55.27326 (118*2π)/2752 weeks
11923.25013 -7.68618 (119*2π)/2752 weeks
120100.317 -4.22232 (120*2π)/2752 weeks
12180.19756 66.98872 (121*2π)/2752 weeks
12223.55276 37.90022 (122*2π)/2752 weeks
12346.81924 -5.4909 (123*2π)/2752 weeks
12468.82276 1.11618 (124*2π)/2752 weeks
12578.78655 2.07456 (125*2π)/2752 weeks
12692.46243 10.27927 (126*2π)/2752 weeks
12793.00455 35.25998 (127*2π)/2752 weeks
12876.57087 33.33252 (128*2π)/2752 weeks
12989.26479 53.13104 (129*2π)/2752 weeks
13029.99658 74.20222 (130*2π)/2752 weeks
131.6811 5.23374 (131*2π)/2752 weeks
13250.58366 -32.20851 (132*2π)/2752 weeks
13392.83069 -10.87085 (133*2π)/2752 weeks
13495.76509 31.5355 (134*2π)/2752 weeks
13559.82886 59.96288 (135*2π)/2752 weeks
1365.09026 30.61479 (136*2π)/2752 weeks
13738.94722 -19.37269 (137*2π)/2752 weeks
13838.94722 19.37269 (138*2π)/2752 weeks
1395.09026 -30.61479 (139*2π)/2752 weeks
14059.82886 -59.96288 (140*2π)/2752 weeks
14195.76509 -31.5355 (141*2π)/2752 weeks
14292.83069 10.87085 (142*2π)/2752 weeks
14350.58366 32.20851 (143*2π)/2752 weeks
144.6811 -5.23374 (144*2π)/2752 weeks
14529.99658 -74.20222 (145*2π)/2752 weeks
14689.26479 -53.13104 (146*2π)/2752 weeks
14776.57087 -33.33252 (147*2π)/2752 weeks
14893.00455 -35.25998 (148*2π)/2752 weeks
14992.46243 -10.27927 (149*2π)/2752 weeks
15078.78655 -2.07456 (150*2π)/2752 weeks
15168.82276 -1.11618 (151*2π)/2752 weeks
15246.81924 5.4909 (152*2π)/2752 weeks
15323.55276 -37.90022 (153*2π)/2752 weeks
15480.19756 -66.98872 (154*2π)/2752 weeks
155100.317 4.22232 (155*2π)/2752 weeks
15623.25013 7.68618 (156*2π)/2752 weeks
15715.69571 -55.27326 (157*2π)/2752 weeks
15852.74545 -86.63601 (158*2π)/2752 weeks
159110.1545 -83.35559 (159*2π)/2752 weeks
160139.1082 -2.93972 (160*2π)/2752 weeks
16153.94551 40.78227 (161*2π)/2752 weeks
16218.15387 -13.71076 (162*2π)/2752 weeks
16318.04926 -12.77598 (163*2π)/2752 weeks
164-36.40866 -63.62818 (164*2π)/2752 weeks
16530.41315 -144.3522 (165*2π)/2752 weeks
16688.39751 -105.2937 (166*2π)/2752 weeks
16788.35107 -94.37431 (167*2π)/2752 weeks
168117.8595 -79.82557 (168*2π)/2752 weeks
169108.988 -25.74954 (169*2π)/2752 weeks
17060.97673 -34.86209 (170*2π)/2752 weeks
17162.73542 -36.83259 (171*2π)/2752 weeks
17232.25227 -57.08568 (172*2π)/2752 weeks
17345.11143 -77.47829 (173*2π)/2752 weeks
17437.76055 -84.10439 (174*2π)/2752 weeks
17542.81969 -134.3754 (175*2π)/2752 weeks
176125.8263 -136.0259 (176*2π)/2752 weeks
177126.4223 -56.97655 (177*2π)/2752 weeks
17874.67544 -71.48346 (178*2π)/2752 weeks
179117.9455 -95.15008 (179*2π)/2752 weeks
180135.0233 -24.1516 (180*2π)/2752 weeks
18154.27116 13.75573 (181*2π)/2752 weeks
182-11.64116 -39.81709 (182*2π)/2752 weeks
183-21.31659 -112.1993 (183*2π)/2752 weeks
18425.73359 -177.0844 (184*2π)/2751 weeks
18594.7355 -182.773 (185*2π)/2751 weeks
186149.0285 -148.1655 (186*2π)/2751 weeks
187154.6349 -79.90369 (187*2π)/2751 weeks
188105.2992 -38.03363 (188*2π)/2751 weeks
18921.80287 -65.77786 (189*2π)/2751 weeks
19041.54629 -178.1908 (190*2π)/2751 weeks
191148.4472 -178.4741 (191*2π)/2751 weeks
192184.6288 -95.36658 (192*2π)/2751 weeks
193136.2316 -34.232 (193*2π)/2751 weeks
19462.8505 -42.7191 (194*2π)/2751 weeks
19541.89473 -116.2981 (195*2π)/2751 weeks
19697.33903 -154.9522 (196*2π)/2751 weeks
197149.244 -129.3871 (197*2π)/2751 weeks
198143.2353 -71.73144 (198*2π)/2751 weeks
199104.0774 -84.02798 (199*2π)/2751 weeks
200127.7931 -81.32469 (200*2π)/2751 weeks
20199.61795 -72.80615 (201*2π)/2751 weeks
202124.861 -74.91901 (202*2π)/2751 weeks
20390.74809 -43.48409 (203*2π)/2751 weeks
20475.6523 -55.04976 (204*2π)/2751 weeks
20536.76151 -65.09535 (205*2π)/2751 weeks
20641.48622 -119.4591 (206*2π)/2751 weeks
20784.8923 -138.7387 (207*2π)/2751 weeks
208127.103 -90.57789 (208*2π)/2751 weeks
20979.30556 -52.64934 (209*2π)/2751 weeks
21054.00359 -56.62861 (210*2π)/2751 weeks
211-.73873 -77.59834 (211*2π)/2751 weeks
21223.05969 -159.3292 (212*2π)/2751 weeks
21392.65104 -136.4779 (213*2π)/2751 weeks
21492.34539 -67.15101 (214*2π)/2751 weeks
2158.99165 -37.87454 (215*2π)/2751 weeks
216-52.41023 -85.20818 (216*2π)/2751 weeks
217-79.30753 -174.782 (217*2π)/2751 weeks
218-7.91599 -237.6035 (218*2π)/2751 weeks
21955.36916 -212.269 (219*2π)/2751 weeks
22019.77467 -154.8616 (220*2π)/2751 weeks
221-24.14964 -240.8075 (221*2π)/2751 weeks
22268.63724 -289.1979 (222*2π)/2751 weeks
223154.6601 -231.782 (223*2π)/2751 weeks
224148.9658 -115.5925 (224*2π)/2751 weeks
22544.77007 -51.69044 (225*2π)/2751 weeks
226-72.27232 -103.9444 (226*2π)/2751 weeks
227-79.67747 -177.5793 (227*2π)/2751 weeks
228-141.0403 -201.0475 (228*2π)/2751 weeks
229-191.2777 -380.6801 (229*2π)/2751 weeks
23010.35368 -541.3289 (230*2π)/2751 weeks
231221.393 -416.3943 (231*2π)/2751 weeks
232199.7984 -225.6916 (232*2π)/2751 weeks
23386.67622 -166.1506 (233*2π)/2751 weeks
234-36.65015 -187.2837 (234*2π)/2751 weeks
235-72.15269 -291.5835 (235*2π)/2751 weeks
236-78.40187 -319.5049 (236*2π)/2751 weeks
237-154.5961 -401.4627 (237*2π)/2751 weeks
238-134.6947 -617.9033 (238*2π)/2751 weeks
239121.2714 -743.053 (239*2π)/2751 weeks
240319.8272 -600.3723 (240*2π)/2751 weeks
241339.7083 -467.7771 (241*2π)/2751 weeks
242342.5408 -355.7675 (242*2π)/2751 weeks
243239.882 -270.1434 (243*2π)/2751 weeks
244165.7397 -283.8232 (244*2π)/2751 weeks
24567.98454 -260.3436 (245*2π)/2751 weeks
246-106.8008 -433.3719 (246*2π)/2751 weeks
24750.35883 -706.6089 (247*2π)/2751 weeks
248293.753 -675.7316 (248*2π)/2751 weeks
249379.2462 -522.0472 (249*2π)/2751 weeks
250335.1074 -448.1165 (250*2π)/2751 weeks
251285.0003 -377.7729 (251*2π)/2751 weeks
252224.0453 -472.6954 (252*2π)/2751 weeks
253314.8448 -387.4953 (253*2π)/2751 weeks
25472.90117 -334.2825 (254*2π)/2751 weeks
255.85783 -647.377 (255*2π)/2751 weeks
256252.8159 -773.516 (256*2π)/2751 weeks
257372.3411 -651.356 (257*2π)/2751 weeks
258381.7421 -593.4861 (258*2π)/2751 weeks
259266.4328 -487.8768 (259*2π)/2751 weeks
260144.4148 -700.0908 (260*2π)/2751 weeks
261294.1849 -833.4791 (261*2π)/2751 weeks
262386.3241 -847.133 (262*2π)/2751 weeks
263545.8049 -852.9615 (263*2π)/2751 weeks
264565.2236 -606.9716 (264*2π)/2751 weeks
265220.2995 -623.5185 (265*2π)/2751 weeks
266268.4698 -1,039.263 (266*2π)/2751 weeks
267435.7099 -948.4524 (267*2π)/2751 weeks
268294.4079 -1,082.342 (268*2π)/2751 weeks
269196.9075 -1,365.404 (269*2π)/2751 weeks
270533.1407 -1,802.941 (270*2π)/2751 weeks
271409.6742 -1,730.594 (271*2π)/2751 weeks
272274.6978 -3,210.066 (272*2π)/2751 weeks
2732,059.798 -4,492.006 (273*2π)/2751 weeks



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