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Fourier Analysis of XGTI (xG Technology)


XGTI (xG Technology) appears to have interesting cyclic behaviour every 32 weeks (913.0123*sine), 23 weeks (747.7302*sine), and 29 weeks (727.926*sine).

XGTI (xG Technology) has an average price of 4,290.74 (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 5/14/2018 for XGTI (xG Technology), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
04,290.743   0 
15,395.526 4,432.416 (1*2π)/318318 weeks
22,286.133 4,106.577 (2*2π)/318159 weeks
3764.9805 3,370.382 (3*2π)/318106 weeks
477.41518 2,016.963 (4*2π)/31880 weeks
5522.0796 1,452.162 (5*2π)/31864 weeks
6372.4996 1,539.594 (6*2π)/31853 weeks
7173.5072 1,157.278 (7*2π)/31845 weeks
8252.1153 950.1526 (8*2π)/31840 weeks
9340.801 814.2983 (9*2π)/31835 weeks
10341.8228 913.0123 (10*2π)/31832 weeks
11124.7866 727.926 (11*2π)/31829 weeks
12312.4171 471.9975 (12*2π)/31827 weeks
13522.3349 579.8342 (13*2π)/31824 weeks
14452.8358 747.7302 (14*2π)/31823 weeks
15336.0511 733.7995 (15*2π)/31821 weeks
16273.6398 722.6394 (16*2π)/31820 weeks
17154.6375 662.7298 (17*2π)/31819 weeks
18145.6569 475.0623 (18*2π)/31818 weeks
19310.248 445.3561 (19*2π)/31817 weeks
20320.5464 529.916 (20*2π)/31816 weeks
21320.502 579.9968 (21*2π)/31815 weeks
22213.2598 670.0005 (22*2π)/31814 weeks
2318.00276 587.3267 (23*2π)/31814 weeks
2411.47723 340.2271 (24*2π)/31813 weeks
25219.5957 275.673 (25*2π)/31813 weeks
26255.5895 409.3351 (26*2π)/31812 weeks
27181.4912 367.7465 (27*2π)/31812 weeks
28269.3677 337.4805 (28*2π)/31811 weeks
29290.6931 389.6349 (29*2π)/31811 weeks
30326.8462 444.1257 (30*2π)/31811 weeks
31280.0822 563.4633 (31*2π)/31810 weeks
32125.3252 625.5267 (32*2π)/31810 weeks
33-71.28571 508.763 (33*2π)/31810 weeks
34-46.21494 279.0291 (34*2π)/3189 weeks
3595.34601 227.5648 (35*2π)/3189 weeks
36148.1741 245.2768 (36*2π)/3189 weeks
37207.1315 233.5966 (37*2π)/3189 weeks
38289.8052 291.4554 (38*2π)/3188 weeks
39296.8246 382.8788 (39*2π)/3188 weeks
40291.252 461.4011 (40*2π)/3188 weeks
41224.2217 590.804 (41*2π)/3188 weeks
4220.65889 636.2115 (42*2π)/3188 weeks
43-135.3266 495.6808 (43*2π)/3187 weeks
44-130.6387 340.557 (44*2π)/3187 weeks
45-71.98849 278.2776 (45*2π)/3187 weeks
46-58.27635 262.4845 (46*2π)/3187 weeks
47-57.86499 195.1892 (47*2π)/3187 weeks
4824.45696 139.4674 (48*2π)/3187 weeks
49109.6956 153.9372 (49*2π)/3186 weeks
50192.991 225.6874 (50*2π)/3186 weeks
51181.457 378.6949 (51*2π)/3186 weeks
5216.63726 468.3815 (52*2π)/3186 weeks
53-152.3735 363.6678 (53*2π)/3186 weeks
54-148.9203 204.3594 (54*2π)/3186 weeks
55-78.71379 155.283 (55*2π)/3186 weeks
56-73.38528 138.0286 (56*2π)/3186 weeks
57-40.2618 65.41156 (57*2π)/3186 weeks
5856.17215 48.00098 (58*2π)/3185 weeks
59130.0802 101.9894 (59*2π)/3185 weeks
60138.5535 190.0877 (60*2π)/3185 weeks
6180.99354 245.2247 (61*2π)/3185 weeks
624.20132 237.5562 (62*2π)/3185 weeks
63-20.75844 160.1359 (63*2π)/3185 weeks
6442.38634 143.025 (64*2π)/3185 weeks
6539.5411 193.4061 (65*2π)/3185 weeks
66-12.16806 204.6767 (66*2π)/3185 weeks
67-66.91994 156.7972 (67*2π)/3185 weeks
68-53.7021 83.97637 (68*2π)/3185 weeks
69-14.54303 44.0465 (69*2π)/3185 weeks
7051.73902 34.45486 (70*2π)/3185 weeks
7188.20171 84.10155 (71*2π)/3184 weeks
7270.06744 130.2965 (72*2π)/3184 weeks
7310.7978 132.2608 (73*2π)/3184 weeks
74-.89067 67.51628 (74*2π)/3184 weeks
7542.22455 47.69199 (75*2π)/3184 weeks
7659.85949 48.69649 (76*2π)/3184 weeks
7797.84044 54.06798 (77*2π)/3184 weeks
78101.0716 106.7888 (78*2π)/3184 weeks
7959.08573 117.8121 (79*2π)/3184 weeks
8030.84142 96.79057 (80*2π)/3184 weeks
8133.36623 54.34139 (81*2π)/3184 weeks
8264.13254 46.71945 (82*2π)/3184 weeks
8371.56114 41.64793 (83*2π)/3184 weeks
84105.6486 47.75236 (84*2π)/3184 weeks
8592.71053 75.06788 (85*2π)/3184 weeks
8695.84076 56.13109 (86*2π)/3184 weeks
87107.7819 77.8132 (87*2π)/3184 weeks
8890.17746 69.23117 (88*2π)/3184 weeks
89122.3564 60.95702 (89*2π)/3184 weeks
90133.3855 103.8997 (90*2π)/3184 weeks
91100.2348 132.0456 (91*2π)/3183 weeks
9253.6484 123.4091 (92*2π)/3183 weeks
9333.37733 71.1412 (93*2π)/3183 weeks
9471.88338 27.61148 (94*2π)/3183 weeks
95126.8916 34.18425 (95*2π)/3183 weeks
96159.8824 83.91169 (96*2π)/3183 weeks
97136.2718 147.8984 (97*2π)/3183 weeks
9859.88938 166.1301 (98*2π)/3183 weeks
996.59323 95.31103 (99*2π)/3183 weeks
10053.95642 31.92709 (100*2π)/3183 weeks
101109.2429 41.74085 (101*2π)/3183 weeks
102137.9599 80.81992 (102*2π)/3183 weeks
103126.2188 131.674 (103*2π)/3183 weeks
10485.22879 157.1875 (104*2π)/3183 weeks
10534.88231 157.9717 (105*2π)/3183 weeks
106-11.4315 119.3794 (106*2π)/3183 weeks
107-18.16877 63.12768 (107*2π)/3183 weeks
1085.30614 10.82679 (108*2π)/3183 weeks
10968.66594 -12.24095 (109*2π)/3183 weeks
110120.4448 29.94331 (110*2π)/3183 weeks
111102.4995 82.01784 (111*2π)/3183 weeks
11265.00334 68.86909 (112*2π)/3183 weeks
11393.21297 42.14011 (113*2π)/3183 weeks
114123.9695 87.76895 (114*2π)/3183 weeks
11574.70717 131.9656 (115*2π)/3183 weeks
11627.8599 99.04099 (116*2π)/3183 weeks
11735.37107 69.98769 (117*2π)/3183 weeks
11838.7216 66.91979 (118*2π)/3183 weeks
11928.00613 52.69364 (119*2π)/3183 weeks
12047.57715 29.84823 (120*2π)/3183 weeks
12154.45666 38.17138 (121*2π)/3183 weeks
12268.17204 16.30465 (122*2π)/3183 weeks
123105.9354 39.16703 (123*2π)/3183 weeks
12495.74812 75.98258 (124*2π)/3183 weeks
12575.17714 81.17192 (125*2π)/3183 weeks
12676.53246 89.72052 (126*2π)/3183 weeks
12741.57063 123.9074 (127*2π)/3183 weeks
128-27.02606 85.55849 (128*2π)/3182 weeks
129-7.87226 15.65051 (129*2π)/3182 weeks
13023.28667 17.20103 (130*2π)/3182 weeks
13114.55475 -.72923 (131*2π)/3182 weeks
13259.29916 -37.73053 (132*2π)/3182 weeks
133120.7709 3.91341 (133*2π)/3182 weeks
134101.9256 67.66254 (134*2π)/3182 weeks
13556.25095 78.0095 (135*2π)/3182 weeks
13624.30293 61.63662 (136*2π)/3182 weeks
1377.68681 23.69057 (137*2π)/3182 weeks
13840.95336 -19.11244 (138*2π)/3182 weeks
13993.68663 10.63549 (139*2π)/3182 weeks
14064.86186 59.25273 (140*2π)/3182 weeks
14121.47948 36.32628 (141*2π)/3182 weeks
14233.31439 -1.79423 (142*2π)/3182 weeks
14356.8433 -1.54066 (143*2π)/3182 weeks
14462.93198 1.29652 (144*2π)/3182 weeks
14572.59413 3.68098 (145*2π)/3182 weeks
14682.94829 13.2192 (146*2π)/3182 weeks
14778.08954 32.44794 (147*2π)/3182 weeks
14866.15807 28.96605 (148*2π)/3182 weeks
14977.99042 39.61132 (149*2π)/3182 weeks
15045.04943 68.1937 (150*2π)/3182 weeks
151-.11854 33.09308 (151*2π)/3182 weeks
15216.51507 -18.1153 (152*2π)/3182 weeks
15357.8292 -25.94359 (153*2π)/3182 weeks
15483.51434 -3.30484 (154*2π)/3182 weeks
15582.14215 28.66778 (155*2π)/3182 weeks
15656.0039 50.69452 (156*2π)/3182 weeks
15712.05289 39.38794 (157*2π)/3182 weeks
15814.06211 -11.35381 (158*2π)/3182 weeks
15948.74419   (159*2π)/3182 weeks
16014.06211 11.35381 (160*2π)/3182 weeks
16112.05289 -39.38794 (161*2π)/3182 weeks
16256.0039 -50.69452 (162*2π)/3182 weeks
16382.14215 -28.66778 (163*2π)/3182 weeks
16483.51434 3.30484 (164*2π)/3182 weeks
16557.8292 25.94359 (165*2π)/3182 weeks
16616.51507 18.1153 (166*2π)/3182 weeks
167-.11854 -33.09308 (167*2π)/3182 weeks
16845.04943 -68.1937 (168*2π)/3182 weeks
16977.99042 -39.61132 (169*2π)/3182 weeks
17066.15807 -28.96605 (170*2π)/3182 weeks
17178.08954 -32.44794 (171*2π)/3182 weeks
17282.94829 -13.2192 (172*2π)/3182 weeks
17372.59413 -3.68098 (173*2π)/3182 weeks
17462.93198 -1.29652 (174*2π)/3182 weeks
17556.8433 1.54066 (175*2π)/3182 weeks
17633.31439 1.79423 (176*2π)/3182 weeks
17721.47948 -36.32628 (177*2π)/3182 weeks
17864.86186 -59.25273 (178*2π)/3182 weeks
17993.68663 -10.63549 (179*2π)/3182 weeks
18040.95336 19.11244 (180*2π)/3182 weeks
1817.68681 -23.69057 (181*2π)/3182 weeks
18224.30293 -61.63662 (182*2π)/3182 weeks
18356.25095 -78.0095 (183*2π)/3182 weeks
184101.9256 -67.66254 (184*2π)/3182 weeks
185120.7709 -3.91341 (185*2π)/3182 weeks
18659.29916 37.73053 (186*2π)/3182 weeks
18714.55475 .72923 (187*2π)/3182 weeks
18823.28667 -17.20103 (188*2π)/3182 weeks
189-7.87226 -15.65051 (189*2π)/3182 weeks
190-27.02606 -85.55849 (190*2π)/3182 weeks
19141.57063 -123.9074 (191*2π)/3182 weeks
19276.53246 -89.72052 (192*2π)/3182 weeks
19375.17714 -81.17192 (193*2π)/3182 weeks
19495.74812 -75.98258 (194*2π)/3182 weeks
195105.9354 -39.16703 (195*2π)/3182 weeks
19668.17204 -16.30465 (196*2π)/3182 weeks
19754.45666 -38.17138 (197*2π)/3182 weeks
19847.57715 -29.84823 (198*2π)/3182 weeks
19928.00613 -52.69364 (199*2π)/3182 weeks
20038.7216 -66.91979 (200*2π)/3182 weeks
20135.37107 -69.98769 (201*2π)/3182 weeks
20227.8599 -99.04099 (202*2π)/3182 weeks
20374.70717 -131.9656 (203*2π)/3182 weeks
204123.9695 -87.76895 (204*2π)/3182 weeks
20593.21297 -42.14011 (205*2π)/3182 weeks
20665.00334 -68.86909 (206*2π)/3182 weeks
207102.4995 -82.01784 (207*2π)/3182 weeks
208120.4448 -29.94331 (208*2π)/3182 weeks
20968.66594 12.24095 (209*2π)/3182 weeks
2105.30614 -10.82679 (210*2π)/3182 weeks
211-18.16877 -63.12768 (211*2π)/3182 weeks
212-11.4315 -119.3794 (212*2π)/3182 weeks
21334.88231 -157.9717 (213*2π)/3181 weeks
21485.22879 -157.1875 (214*2π)/3181 weeks
215126.2188 -131.674 (215*2π)/3181 weeks
216137.9599 -80.81992 (216*2π)/3181 weeks
217109.2429 -41.74085 (217*2π)/3181 weeks
21853.95642 -31.92709 (218*2π)/3181 weeks
2196.59323 -95.31103 (219*2π)/3181 weeks
22059.88938 -166.1301 (220*2π)/3181 weeks
221136.2718 -147.8984 (221*2π)/3181 weeks
222159.8824 -83.91169 (222*2π)/3181 weeks
223126.8916 -34.18425 (223*2π)/3181 weeks
22471.88338 -27.61148 (224*2π)/3181 weeks
22533.37733 -71.1412 (225*2π)/3181 weeks
22653.6484 -123.4091 (226*2π)/3181 weeks
227100.2348 -132.0456 (227*2π)/3181 weeks
228133.3855 -103.8997 (228*2π)/3181 weeks
229122.3564 -60.95702 (229*2π)/3181 weeks
23090.17746 -69.23117 (230*2π)/3181 weeks
231107.7819 -77.8132 (231*2π)/3181 weeks
23295.84076 -56.13109 (232*2π)/3181 weeks
23392.71053 -75.06788 (233*2π)/3181 weeks
234105.6486 -47.75236 (234*2π)/3181 weeks
23571.56114 -41.64793 (235*2π)/3181 weeks
23664.13254 -46.71945 (236*2π)/3181 weeks
23733.36623 -54.34139 (237*2π)/3181 weeks
23830.84142 -96.79057 (238*2π)/3181 weeks
23959.08573 -117.8121 (239*2π)/3181 weeks
240101.0716 -106.7888 (240*2π)/3181 weeks
24197.84044 -54.06798 (241*2π)/3181 weeks
24259.85949 -48.69649 (242*2π)/3181 weeks
24342.22455 -47.69199 (243*2π)/3181 weeks
244-.89067 -67.51628 (244*2π)/3181 weeks
24510.7978 -132.2608 (245*2π)/3181 weeks
24670.06744 -130.2965 (246*2π)/3181 weeks
24788.20171 -84.10155 (247*2π)/3181 weeks
24851.73902 -34.45486 (248*2π)/3181 weeks
249-14.54303 -44.0465 (249*2π)/3181 weeks
250-53.7021 -83.97637 (250*2π)/3181 weeks
251-66.91994 -156.7972 (251*2π)/3181 weeks
252-12.16806 -204.6767 (252*2π)/3181 weeks
25339.5411 -193.4061 (253*2π)/3181 weeks
25442.38634 -143.025 (254*2π)/3181 weeks
255-20.75844 -160.1359 (255*2π)/3181 weeks
2564.20132 -237.5562 (256*2π)/3181 weeks
25780.99354 -245.2247 (257*2π)/3181 weeks
258138.5535 -190.0877 (258*2π)/3181 weeks
259130.0802 -101.9894 (259*2π)/3181 weeks
26056.17215 -48.00098 (260*2π)/3181 weeks
261-40.2618 -65.41156 (261*2π)/3181 weeks
262-73.38528 -138.0286 (262*2π)/3181 weeks
263-78.71379 -155.283 (263*2π)/3181 weeks
264-148.9203 -204.3594 (264*2π)/3181 weeks
265-152.3735 -363.6678 (265*2π)/3181 weeks
26616.63726 -468.3815 (266*2π)/3181 weeks
267181.457 -378.6949 (267*2π)/3181 weeks
268192.991 -225.6874 (268*2π)/3181 weeks
269109.6956 -153.9372 (269*2π)/3181 weeks
27024.45696 -139.4674 (270*2π)/3181 weeks
271-57.86499 -195.1892 (271*2π)/3181 weeks
272-58.27635 -262.4845 (272*2π)/3181 weeks
273-71.98849 -278.2776 (273*2π)/3181 weeks
274-130.6387 -340.557 (274*2π)/3181 weeks
275-135.3266 -495.6808 (275*2π)/3181 weeks
27620.65889 -636.2115 (276*2π)/3181 weeks
277224.2217 -590.804 (277*2π)/3181 weeks
278291.252 -461.4011 (278*2π)/3181 weeks
279296.8246 -382.8788 (279*2π)/3181 weeks
280289.8052 -291.4554 (280*2π)/3181 weeks
281207.1315 -233.5966 (281*2π)/3181 weeks
282148.1741 -245.2768 (282*2π)/3181 weeks
28395.34601 -227.5648 (283*2π)/3181 weeks
284-46.21494 -279.0291 (284*2π)/3181 weeks
285-71.28571 -508.763 (285*2π)/3181 weeks
286125.3252 -625.5267 (286*2π)/3181 weeks
287280.0822 -563.4633 (287*2π)/3181 weeks
288326.8462 -444.1257 (288*2π)/3181 weeks
289290.6931 -389.6349 (289*2π)/3181 weeks
290269.3677 -337.4805 (290*2π)/3181 weeks
291181.4912 -367.7465 (291*2π)/3181 weeks
292255.5895 -409.3351 (292*2π)/3181 weeks
293219.5957 -275.673 (293*2π)/3181 weeks
29411.47723 -340.2271 (294*2π)/3181 weeks
29518.00276 -587.3267 (295*2π)/3181 weeks
296213.2598 -670.0005 (296*2π)/3181 weeks
297320.502 -579.9968 (297*2π)/3181 weeks
298320.5464 -529.916 (298*2π)/3181 weeks
299310.248 -445.3561 (299*2π)/3181 weeks
300145.6569 -475.0623 (300*2π)/3181 weeks
301154.6375 -662.7298 (301*2π)/3181 weeks
302273.6398 -722.6394 (302*2π)/3181 weeks
303336.0511 -733.7995 (303*2π)/3181 weeks
304452.8358 -747.7302 (304*2π)/3181 weeks
305522.3349 -579.8342 (305*2π)/3181 weeks
306312.4171 -471.9975 (306*2π)/3181 weeks
307124.7866 -727.926 (307*2π)/3181 weeks
308341.8228 -913.0123 (308*2π)/3181 weeks
309340.801 -814.2983 (309*2π)/3181 weeks
310252.1153 -950.1526 (310*2π)/3181 weeks
311173.5072 -1,157.278 (311*2π)/3181 weeks
312372.4996 -1,539.594 (312*2π)/3181 weeks
313522.0796 -1,452.162 (313*2π)/3181 weeks
31477.41518 -2,016.963 (314*2π)/3181 weeks
315764.9805 -3,370.382 (315*2π)/3181 weeks
3162,286.133 -4,106.577 (316*2π)/3181 weeks



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