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Fourier Analysis of XGTI (XG Technology, Inc)


XGTI (XG Technology, Inc) appears to have interesting cyclic behaviour every 21 weeks (2544.247*sine), 19 weeks (2501.454*cosine), and 8 weeks (1962.388*cosine).

XGTI (XG Technology, Inc) has an average price of 15,103.06 (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 1/9/2017 for XGTI (XG Technology, Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
015,103.06   0 
1-8,903.468 19,672.87 (1*2π)/248248 weeks
2-8,682.59 -4,393.939 (2*2π)/248124 weeks
31,066.411 -8,985.725 (3*2π)/24883 weeks
410,911.2 2,010.752 (4*2π)/24862 weeks
5-2,258.139 9,016.024 (5*2π)/24850 weeks
6-6,124.379 -477.1955 (6*2π)/24841 weeks
7169.3025 -5,486.449 (7*2π)/24835 weeks
84,223.377 762.3439 (8*2π)/24831 weeks
9629.3482 2,218.896 (9*2π)/24828 weeks
10-847.025 1,929.925 (10*2π)/24825 weeks
11-2,419.639 -278.5137 (11*2π)/24823 weeks
12676.8919 -2,544.247 (12*2π)/24821 weeks
132,501.454 728.8853 (13*2π)/24819 weeks
14-47.92202 1,856.913 (14*2π)/24818 weeks
15-1,101.554 1,036.529 (15*2π)/24817 weeks
16-1,083.334 -1,321.893 (16*2π)/24816 weeks
171,444.165 -620.37 (17*2π)/24815 weeks
18449.8121 1,084.844 (18*2π)/24814 weeks
19-31.21468 119.5019 (19*2π)/24813 weeks
20119.9553 1,105.813 (20*2π)/24812 weeks
21-1,489.885 -367.386 (21*2π)/24812 weeks
22781.9985 -1,070.976 (22*2π)/24811 weeks
231,190.413 174.8904 (23*2π)/24811 weeks
24489.1852 1,443.115 (24*2π)/24810 weeks
25-1,170.23 1,117.891 (25*2π)/24810 weeks
26-1,424.412 -1,376.575 (26*2π)/24810 weeks
271,790.259 -1,274.362 (27*2π)/2489 weeks
281,238.366 1,660.947 (28*2π)/2489 weeks
29-1,006.322 1,234.689 (29*2π)/2489 weeks
30-1,264.632 -416.336 (30*2π)/2488 weeks
31384.826 -1,572.499 (31*2π)/2488 weeks
321,962.388 481.218 (32*2π)/2488 weeks
33-307.9738 1,948.712 (33*2π)/2488 weeks
34-1,468.024 -20.08806 (34*2π)/2487 weeks
35-40.59533 -1,030.11 (35*2π)/2487 weeks
36790.3344 -41.78441 (36*2π)/2487 weeks
37358.4806 518.8645 (37*2π)/2487 weeks
38-367.5376 637.4182 (38*2π)/2487 weeks
39-362.7355 -296.1965 (39*2π)/2486 weeks
40275.9746 -24.85078 (40*2π)/2486 weeks
41-218.4538 123.3587 (41*2π)/2486 weeks
42364.8329 -369.3347 (42*2π)/2486 weeks
43566.637 839.8896 (43*2π)/2486 weeks
44-1,053.563 609.1342 (44*2π)/2486 weeks
45-536.6365 -959.1478 (45*2π)/2486 weeks
46902.6427 -657.5806 (46*2π)/2485 weeks
47882.2818 817.5708 (47*2π)/2485 weeks
48-555.525 1,112.776 (48*2π)/2485 weeks
49-1,228.959 -491.1493 (49*2π)/2485 weeks
50562.1727 -1,047.592 (50*2π)/2485 weeks
51990.2277 337.0739 (51*2π)/2485 weeks
52-93.62521 1,020.183 (52*2π)/2485 weeks
53-775.6144 180.5494 (53*2π)/2485 weeks
54-461.9217 -687.2648 (54*2π)/2485 weeks
55678.5636 -544.1836 (55*2π)/2485 weeks
56719.5982 527.9821 (56*2π)/2484 weeks
57-447.8279 803.4366 (57*2π)/2484 weeks
58-581.017 -285.726 (58*2π)/2484 weeks
59-30.07902 -454.1687 (59*2π)/2484 weeks
60603.9782 -334.4468 (60*2π)/2484 weeks
61419.5388 650.1149 (61*2π)/2484 weeks
62-425.2263 489.8809 (62*2π)/2484 weeks
63-532.0988 -344.4901 (63*2π)/2484 weeks
64259.8143 -425.3705 (64*2π)/2484 weeks
65465.0705 -80.92453 (65*2π)/2484 weeks
66234.8034 629.2427 (66*2π)/2484 weeks
67-406.618 127.3103 (67*2π)/2484 weeks
68-262.1731 -84.12946 (68*2π)/2484 weeks
6956.66592 -565.4422 (69*2π)/2484 weeks
70700.0045 51.12103 (70*2π)/2484 weeks
71153.1495 662.4492 (71*2π)/2483 weeks
72-597.4509 311.4239 (72*2π)/2483 weeks
73-347.3241 -550.5911 (73*2π)/2483 weeks
74479.3167 -461.5981 (74*2π)/2483 weeks
75667.2963 328.8378 (75*2π)/2483 weeks
76-114.0117 805.311 (76*2π)/2483 weeks
77-889.1748 -57.72222 (77*2π)/2483 weeks
78143.5965 -831.055 (78*2π)/2483 weeks
79739.0328 8.29729 (79*2π)/2483 weeks
80215.4677 666.1221 (80*2π)/2483 weeks
81-487.8948 296.0256 (81*2π)/2483 weeks
82-316.5724 -298.9514 (82*2π)/2483 weeks
83238.48 -377.6117 (83*2π)/2483 weeks
84361.8814 139.7465 (84*2π)/2483 weeks
85107.7166 275.8793 (85*2π)/2483 weeks
86-168.6131 353.9778 (86*2π)/2483 weeks
87-576.5842 -156.0881 (87*2π)/2483 weeks
88273.8337 -811.9919 (88*2π)/2483 weeks
89956.8329 372.7175 (89*2π)/2483 weeks
90-368.897 869.0696 (90*2π)/2483 weeks
91-638.5913 -236.2201 (91*2π)/2483 weeks
9281.11041 -515.2866 (92*2π)/2483 weeks
93445.1016 -158.1649 (93*2π)/2483 weeks
94396.7578 526.403 (94*2π)/2483 weeks
95-467.0074 286.9975 (95*2π)/2483 weeks
96-225.8048 -204.738 (96*2π)/2483 weeks
9715.07449 -328.3631 (97*2π)/2483 weeks
98515.8244 -194.788 (98*2π)/2483 weeks
99307.1819 725.2728 (99*2π)/2483 weeks
100-732.7154 151.1358 (100*2π)/2482 weeks
10121.51131 -449.3111 (101*2π)/2482 weeks
10298.74901 -53.83819 (102*2π)/2482 weeks
103281.8814 -185.9567 (103*2π)/2482 weeks
104308.4674 471.4196 (104*2π)/2482 weeks
105-455.0577 276.2934 (105*2π)/2482 weeks
106-283.7353 -331.1967 (106*2π)/2482 weeks
107163.7122 -421.8797 (107*2π)/2482 weeks
108705.1437 6.07612 (108*2π)/2482 weeks
109-4.58079 897.7944 (109*2π)/2482 weeks
110-895.7885 -47.43953 (110*2π)/2482 weeks
11151.88633 -822.9249 (111*2π)/2482 weeks
112698.6754 -95.38873 (112*2π)/2482 weeks
113287.1383 585.61 (113*2π)/2482 weeks
114-422.4337 413.2737 (114*2π)/2482 weeks
115-591.5806 -346.9973 (115*2π)/2482 weeks
116424.1385 -733.1675 (116*2π)/2482 weeks
117683.7606 427.1343 (117*2π)/2482 weeks
118-257.5453 545.3975 (118*2π)/2482 weeks
119-459.873 -61.60679 (119*2π)/2482 weeks
120-70.23857 -454.2457 (120*2π)/2482 weeks
121441.2269 -198.1448 (121*2π)/2482 weeks
122267.7684 427.8611 (122*2π)/2482 weeks
123-328.9123 110.4082 (123*2π)/2482 weeks
12431.16764   (124*2π)/2482 weeks
125-328.9123 -110.4082 (125*2π)/2482 weeks
126267.7684 -427.8611 (126*2π)/2482 weeks
127441.2269 198.1448 (127*2π)/2482 weeks
128-70.23857 454.2457 (128*2π)/2482 weeks
129-459.873 61.60679 (129*2π)/2482 weeks
130-257.5453 -545.3975 (130*2π)/2482 weeks
131683.7606 -427.1343 (131*2π)/2482 weeks
132424.1385 733.1675 (132*2π)/2482 weeks
133-591.5806 346.9973 (133*2π)/2482 weeks
134-422.4337 -413.2737 (134*2π)/2482 weeks
135287.1383 -585.61 (135*2π)/2482 weeks
136698.6754 95.38873 (136*2π)/2482 weeks
13751.88633 822.9249 (137*2π)/2482 weeks
138-895.7885 47.43953 (138*2π)/2482 weeks
139-4.58079 -897.7944 (139*2π)/2482 weeks
140705.1437 -6.07612 (140*2π)/2482 weeks
141163.7122 421.8797 (141*2π)/2482 weeks
142-283.7353 331.1967 (142*2π)/2482 weeks
143-455.0577 -276.2934 (143*2π)/2482 weeks
144308.4674 -471.4196 (144*2π)/2482 weeks
145281.8814 185.9567 (145*2π)/2482 weeks
14698.74901 53.83819 (146*2π)/2482 weeks
14721.51131 449.3111 (147*2π)/2482 weeks
148-732.7154 -151.1358 (148*2π)/2482 weeks
149307.1819 -725.2728 (149*2π)/2482 weeks
150515.8244 194.788 (150*2π)/2482 weeks
15115.07449 328.3631 (151*2π)/2482 weeks
152-225.8048 204.738 (152*2π)/2482 weeks
153-467.0074 -286.9975 (153*2π)/2482 weeks
154396.7578 -526.403 (154*2π)/2482 weeks
155445.1016 158.1649 (155*2π)/2482 weeks
15681.11041 515.2866 (156*2π)/2482 weeks
157-638.5913 236.2201 (157*2π)/2482 weeks
158-368.897 -869.0696 (158*2π)/2482 weeks
159956.8329 -372.7175 (159*2π)/2482 weeks
160273.8337 811.9919 (160*2π)/2482 weeks
161-576.5842 156.0881 (161*2π)/2482 weeks
162-168.6131 -353.9778 (162*2π)/2482 weeks
163107.7166 -275.8793 (163*2π)/2482 weeks
164361.8814 -139.7465 (164*2π)/2482 weeks
165238.48 377.6117 (165*2π)/2482 weeks
166-316.5724 298.9514 (166*2π)/2481 weeks
167-487.8948 -296.0256 (167*2π)/2481 weeks
168215.4677 -666.1221 (168*2π)/2481 weeks
169739.0328 -8.29729 (169*2π)/2481 weeks
170143.5965 831.055 (170*2π)/2481 weeks
171-889.1748 57.72222 (171*2π)/2481 weeks
172-114.0117 -805.311 (172*2π)/2481 weeks
173667.2963 -328.8378 (173*2π)/2481 weeks
174479.3167 461.5981 (174*2π)/2481 weeks
175-347.3241 550.5911 (175*2π)/2481 weeks
176-597.4509 -311.4239 (176*2π)/2481 weeks
177153.1495 -662.4492 (177*2π)/2481 weeks
178700.0045 -51.12103 (178*2π)/2481 weeks
17956.66592 565.4422 (179*2π)/2481 weeks
180-262.1731 84.12946 (180*2π)/2481 weeks
181-406.618 -127.3103 (181*2π)/2481 weeks
182234.8034 -629.2427 (182*2π)/2481 weeks
183465.0705 80.92453 (183*2π)/2481 weeks
184259.8143 425.3705 (184*2π)/2481 weeks
185-532.0988 344.4901 (185*2π)/2481 weeks
186-425.2263 -489.8809 (186*2π)/2481 weeks
187419.5388 -650.1149 (187*2π)/2481 weeks
188603.9782 334.4468 (188*2π)/2481 weeks
189-30.07902 454.1687 (189*2π)/2481 weeks
190-581.017 285.726 (190*2π)/2481 weeks
191-447.8279 -803.4366 (191*2π)/2481 weeks
192719.5982 -527.9821 (192*2π)/2481 weeks
193678.5636 544.1836 (193*2π)/2481 weeks
194-461.9217 687.2648 (194*2π)/2481 weeks
195-775.6144 -180.5494 (195*2π)/2481 weeks
196-93.62521 -1,020.183 (196*2π)/2481 weeks
197990.2277 -337.0739 (197*2π)/2481 weeks
198562.1727 1,047.592 (198*2π)/2481 weeks
199-1,228.959 491.1493 (199*2π)/2481 weeks
200-555.525 -1,112.776 (200*2π)/2481 weeks
201882.2818 -817.5708 (201*2π)/2481 weeks
202902.6427 657.5806 (202*2π)/2481 weeks
203-536.6365 959.1478 (203*2π)/2481 weeks
204-1,053.563 -609.1342 (204*2π)/2481 weeks
205566.637 -839.8896 (205*2π)/2481 weeks
206364.8329 369.3347 (206*2π)/2481 weeks
207-218.4538 -123.3587 (207*2π)/2481 weeks
208275.9746 24.85078 (208*2π)/2481 weeks
209-362.7355 296.1965 (209*2π)/2481 weeks
210-367.5376 -637.4182 (210*2π)/2481 weeks
211358.4806 -518.8645 (211*2π)/2481 weeks
212790.3344 41.78441 (212*2π)/2481 weeks
213-40.59533 1,030.11 (213*2π)/2481 weeks
214-1,468.024 20.08806 (214*2π)/2481 weeks
215-307.9738 -1,948.712 (215*2π)/2481 weeks
2161,962.388 -481.218 (216*2π)/2481 weeks
217384.826 1,572.499 (217*2π)/2481 weeks
218-1,264.632 416.336 (218*2π)/2481 weeks
219-1,006.322 -1,234.689 (219*2π)/2481 weeks
2201,238.366 -1,660.947 (220*2π)/2481 weeks
2211,790.259 1,274.362 (221*2π)/2481 weeks
222-1,424.412 1,376.575 (222*2π)/2481 weeks
223-1,170.23 -1,117.891 (223*2π)/2481 weeks
224489.1852 -1,443.115 (224*2π)/2481 weeks
2251,190.413 -174.8904 (225*2π)/2481 weeks
226781.9985 1,070.976 (226*2π)/2481 weeks
227-1,489.885 367.386 (227*2π)/2481 weeks
228119.9553 -1,105.813 (228*2π)/2481 weeks
229-31.21468 -119.5019 (229*2π)/2481 weeks
230449.8121 -1,084.844 (230*2π)/2481 weeks
2311,444.165 620.37 (231*2π)/2481 weeks
232-1,083.334 1,321.893 (232*2π)/2481 weeks
233-1,101.554 -1,036.529 (233*2π)/2481 weeks
234-47.92202 -1,856.913 (234*2π)/2481 weeks
2352,501.454 -728.8853 (235*2π)/2481 weeks
236676.8919 2,544.247 (236*2π)/2481 weeks
237-2,419.639 278.5137 (237*2π)/2481 weeks
238-847.025 -1,929.925 (238*2π)/2481 weeks
239629.3482 -2,218.896 (239*2π)/2481 weeks
2404,223.377 -762.3439 (240*2π)/2481 weeks
241169.3025 5,486.449 (241*2π)/2481 weeks
242-6,124.379 477.1955 (242*2π)/2481 weeks
243-2,258.139 -9,016.024 (243*2π)/2481 weeks
24410,911.2 -2,010.752 (244*2π)/2481 weeks
2451,066.411 8,985.725 (245*2π)/2481 weeks
246-8,682.59 4,393.939 (246*2π)/2481 weeks

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