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Fourier Analysis of XGTI (xG Technology)


XGTI (xG Technology) appears to have interesting cyclic behaviour every 32 weeks (896.2836*sine), 29 weeks (758.5026*sine), and 25 weeks (506.0891*cosine).

XGTI (xG Technology) has an average price of 4,250.65 (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 6/4/2018 for XGTI (xG Technology), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
04,250.649   0 
15,386.895 4,378.335 (1*2π)/321321 weeks
22,297.881 4,083.005 (2*2π)/321161 weeks
3796.5298 3,367.003 (3*2π)/321107 weeks
472.06596 2,045.853 (4*2π)/32180 weeks
5502.1171 1,436.005 (5*2π)/32164 weeks
6392.1504 1,533.719 (6*2π)/32154 weeks
7168.5344 1,171.188 (7*2π)/32146 weeks
8247.6007 951.8606 (8*2π)/32140 weeks
9324.4486 810.3666 (9*2π)/32136 weeks
10357.621 896.2836 (10*2π)/32132 weeks
11130.1458 758.5026 (11*2π)/32129 weeks
12276.6691 476.6065 (12*2π)/32127 weeks
13506.0891 549.5797 (13*2π)/32125 weeks
14468.6811 730.0635 (14*2π)/32123 weeks
15342.2202 732.4926 (15*2π)/32121 weeks
16283.9052 716.0417 (16*2π)/32120 weeks
17171.7841 676.0877 (17*2π)/32119 weeks
18127.5686 501.8226 (18*2π)/32118 weeks
19284.2917 425.7647 (19*2π)/32117 weeks
20322.6326 517.7426 (20*2π)/32116 weeks
21318.9714 557.1924 (21*2π)/32115 weeks
22246.6861 653.1696 (22*2π)/32115 weeks
2353.93855 619.9445 (23*2π)/32114 weeks
24-14.35977 389.7308 (24*2π)/32113 weeks
25170.5925 258.8511 (25*2π)/32113 weeks
26270.4643 379.212 (26*2π)/32112 weeks
27182.7292 391.5331 (27*2π)/32112 weeks
28242.6487 323.3435 (28*2π)/32111 weeks
29286.6006 378.4172 (29*2π)/32111 weeks
30314.1233 413.9078 (30*2π)/32111 weeks
31304.0639 526.5134 (31*2π)/32110 weeks
32180.4844 611.6921 (32*2π)/32110 weeks
33-21.92585 566.0676 (33*2π)/32110 weeks
34-82.18974 336.9307 (34*2π)/3219 weeks
3555.80341 223.256 (35*2π)/3219 weeks
36135.9158 241.5337 (36*2π)/3219 weeks
37177.7981 233.1138 (37*2π)/3219 weeks
38263.7477 257.4905 (38*2π)/3218 weeks
39298.1158 350.7916 (39*2π)/3218 weeks
40290.0786 423.0668 (40*2π)/3218 weeks
41264.2558 533.9988 (41*2π)/3218 weeks
42108.6736 636.0104 (42*2π)/3218 weeks
43-91.98566 560.9536 (43*2π)/3217 weeks
44-145.5298 391.1286 (44*2π)/3217 weeks
45-94.19143 290.8574 (45*2π)/3217 weeks
46-55.84151 268.1021 (46*2π)/3217 weeks
47-65.11826 230.5111 (47*2π)/3217 weeks
48-19.14957 152.0115 (48*2π)/3217 weeks
4972.23215 141.8946 (49*2π)/3217 weeks
50154.796 177.6911 (50*2π)/3216 weeks
51204.863 299.8093 (51*2π)/3216 weeks
52111.1381 440.274 (52*2π)/3216 weeks
53-84.17973 434.0581 (53*2π)/3216 weeks
54-169.3633 273.4355 (54*2π)/3216 weeks
55-110.046 164.7926 (55*2π)/3216 weeks
56-68.24223 152.4442 (56*2π)/3216 weeks
57-69.32951 104.5661 (57*2π)/3216 weeks
582.4714 45.7388 (58*2π)/3216 weeks
5993.80818 64.75262 (59*2π)/3215 weeks
60142.6759 138.8417 (60*2π)/3215 weeks
61117.8032 218.8073 (61*2π)/3215 weeks
6248.53922 248.2857 (62*2π)/3215 weeks
63-19.46107 208.9233 (63*2π)/3215 weeks
642.47629 135.9978 (64*2π)/3215 weeks
6552.08158 162.5565 (65*2π)/3215 weeks
6621.95782 200.916 (66*2π)/3215 weeks
67-35.60022 193.7557 (67*2π)/3215 weeks
68-69.88075 125.3595 (68*2π)/3215 weeks
69-40.18315 67.80901 (69*2π)/3215 weeks
705.35128 33.22663 (70*2π)/3215 weeks
7170.85265 47.11253 (71*2π)/3215 weeks
7286.03227 100.1545 (72*2π)/3214 weeks
7353.87765 138.2292 (73*2π)/3214 weeks
74-3.34147 113.69 (74*2π)/3214 weeks
7511.73161 53.64849 (75*2π)/3214 weeks
7648.9092 49.51049 (76*2π)/3214 weeks
7766.61979 45.41404 (77*2π)/3214 weeks
78105.8358 65.96522 (78*2π)/3214 weeks
7989.38964 114.4775 (79*2π)/3214 weeks
8050.45815 113.3315 (80*2π)/3214 weeks
8126.34696 86.59073 (81*2π)/3214 weeks
8240.89404 47.36091 (82*2π)/3214 weeks
8365.79905 47.99292 (83*2π)/3214 weeks
8476.35477 37.7819 (84*2π)/3214 weeks
85107.6754 55.67833 (85*2π)/3214 weeks
8687.13599 71.7134 (86*2π)/3214 weeks
87100.6314 56.44907 (87*2π)/3214 weeks
88102.9385 80.09248 (88*2π)/3214 weeks
8991.35924 63.70337 (89*2π)/3214 weeks
90126.7822 65.22827 (90*2π)/3214 weeks
91129.0167 109.0616 (91*2π)/3214 weeks
9293.14952 132.1343 (92*2π)/3213 weeks
9347.7399 117.591 (93*2π)/3213 weeks
9434.9086 63.24525 (94*2π)/3213 weeks
9577.46104 25.62535 (95*2π)/3213 weeks
96130.6191 37.10228 (96*2π)/3213 weeks
97158.9668 89.31347 (97*2π)/3213 weeks
98130.2227 150.6127 (98*2π)/3213 weeks
9952.95708 162.3761 (99*2π)/3213 weeks
1006.87378 88.29702 (100*2π)/3213 weeks
10157.24949 30.70098 (101*2π)/3213 weeks
102110.0776 42.62455 (102*2π)/3213 weeks
103137.1064 81.98166 (103*2π)/3213 weeks
104124.11 131.5692 (104*2π)/3213 weeks
10583.59531 155.9511 (105*2π)/3213 weeks
10634.04453 156.3483 (106*2π)/3213 weeks
107-11.3243 118.2642 (107*2π)/3213 weeks
108-18.07272 63.02771 (108*2π)/3213 weeks
1094.44158 11.61431 (109*2π)/3213 weeks
11066.02634 -12.37801 (110*2π)/3213 weeks
111118.5435 27.31904 (111*2π)/3213 weeks
112103.6287 80.01984 (112*2π)/3213 weeks
11365.07073 70.48125 (113*2π)/3213 weeks
11489.00036 41.46402 (114*2π)/3213 weeks
115123.1563 81.91258 (115*2π)/3213 weeks
11679.9636 130.1936 (116*2π)/3213 weeks
11728.98627 102.5199 (117*2π)/3213 weeks
11833.75411 70.50766 (118*2π)/3213 weeks
11938.93193 66.45087 (119*2π)/3213 weeks
12028.46913 55.6684 (120*2π)/3213 weeks
12143.07432 29.94885 (121*2π)/3213 weeks
12255.41679 38.30062 (122*2π)/3213 weeks
12361.60384 18.49573 (123*2π)/3213 weeks
124101.8915 31.87422 (124*2π)/3213 weeks
12598.82697 71.28651 (125*2π)/3213 weeks
12676.57704 81.06817 (126*2π)/3213 weeks
12775.43032 84.2066 (127*2π)/3213 weeks
12853.98197 118.3784 (128*2π)/3213 weeks
129-17.45472 100.4631 (129*2π)/3212 weeks
130-18.42596 24.51695 (130*2π)/3212 weeks
13121.65819 14.18152 (131*2π)/3212 weeks
13214.65103 8.65251 (132*2π)/3212 weeks
13341.68853 -33.25914 (133*2π)/3212 weeks
134110.3315 -13.87006 (134*2π)/3212 weeks
135112.1943 55.28961 (135*2π)/3212 weeks
13666.68356 78.43206 (136*2π)/3212 weeks
13731.90015 67.30141 (137*2π)/3212 weeks
1389.29115 37.01939 (138*2π)/3212 weeks
13924.04102 -10.42235 (139*2π)/3212 weeks
14082.80937 -7.32019 (140*2π)/3212 weeks
14180.86173 50.21449 (141*2π)/3212 weeks
14230.2494 49.52453 (142*2π)/3212 weeks
14323.9327 7.21595 (143*2π)/3212 weeks
14451.04256 -4.36896 (144*2π)/3212 weeks
14560.10933 1.46501 (145*2π)/3212 weeks
14668.39951 2.06875 (146*2π)/3212 weeks
14778.37985 7.97995 (147*2π)/3212 weeks
14882.55733 25.7573 (148*2π)/3212 weeks
14967.10689 32.75048 (149*2π)/3212 weeks
15073.1655 28.97517 (150*2π)/3212 weeks
15165.62582 60.66179 (151*2π)/3212 weeks
15212.96148 54.85011 (152*2π)/3212 weeks
1532.36714 -.07941 (153*2π)/3212 weeks
15440.04751 -27.39468 (154*2π)/3212 weeks
15574.21972 -15.77609 (155*2π)/3212 weeks
15685.46986 14.18704 (156*2π)/3212 weeks
15770.33463 42.04052 (157*2π)/3212 weeks
15832.97071 51.35003 (158*2π)/3212 weeks
1592.32245 12.20244 (159*2π)/3212 weeks
16036.96034 -15.60376 (160*2π)/3212 weeks
16136.96034 15.60376 (161*2π)/3212 weeks
1622.32245 -12.20244 (162*2π)/3212 weeks
16332.97071 -51.35003 (163*2π)/3212 weeks
16470.33463 -42.04052 (164*2π)/3212 weeks
16585.46986 -14.18704 (165*2π)/3212 weeks
16674.21972 15.77609 (166*2π)/3212 weeks
16740.04751 27.39468 (167*2π)/3212 weeks
1682.36714 .07941 (168*2π)/3212 weeks
16912.96148 -54.85011 (169*2π)/3212 weeks
17065.62582 -60.66179 (170*2π)/3212 weeks
17173.1655 -28.97517 (171*2π)/3212 weeks
17267.10689 -32.75048 (172*2π)/3212 weeks
17382.55733 -25.7573 (173*2π)/3212 weeks
17478.37985 -7.97995 (174*2π)/3212 weeks
17568.39951 -2.06875 (175*2π)/3212 weeks
17660.10933 -1.46501 (176*2π)/3212 weeks
17751.04256 4.36896 (177*2π)/3212 weeks
17823.9327 -7.21595 (178*2π)/3212 weeks
17930.2494 -49.52453 (179*2π)/3212 weeks
18080.86173 -50.21449 (180*2π)/3212 weeks
18182.80937 7.32019 (181*2π)/3212 weeks
18224.04102 10.42235 (182*2π)/3212 weeks
1839.29115 -37.01939 (183*2π)/3212 weeks
18431.90015 -67.30141 (184*2π)/3212 weeks
18566.68356 -78.43206 (185*2π)/3212 weeks
186112.1943 -55.28961 (186*2π)/3212 weeks
187110.3315 13.87006 (187*2π)/3212 weeks
18841.68853 33.25914 (188*2π)/3212 weeks
18914.65103 -8.65251 (189*2π)/3212 weeks
19021.65819 -14.18152 (190*2π)/3212 weeks
191-18.42596 -24.51695 (191*2π)/3212 weeks
192-17.45472 -100.4631 (192*2π)/3212 weeks
19353.98197 -118.3784 (193*2π)/3212 weeks
19475.43032 -84.2066 (194*2π)/3212 weeks
19576.57704 -81.06817 (195*2π)/3212 weeks
19698.82697 -71.28651 (196*2π)/3212 weeks
197101.8915 -31.87422 (197*2π)/3212 weeks
19861.60384 -18.49573 (198*2π)/3212 weeks
19955.41679 -38.30062 (199*2π)/3212 weeks
20043.07432 -29.94885 (200*2π)/3212 weeks
20128.46913 -55.6684 (201*2π)/3212 weeks
20238.93193 -66.45087 (202*2π)/3212 weeks
20333.75411 -70.50766 (203*2π)/3212 weeks
20428.98627 -102.5199 (204*2π)/3212 weeks
20579.9636 -130.1936 (205*2π)/3212 weeks
206123.1563 -81.91258 (206*2π)/3212 weeks
20789.00036 -41.46402 (207*2π)/3212 weeks
20865.07073 -70.48125 (208*2π)/3212 weeks
209103.6287 -80.01984 (209*2π)/3212 weeks
210118.5435 -27.31904 (210*2π)/3212 weeks
21166.02634 12.37801 (211*2π)/3212 weeks
2124.44158 -11.61431 (212*2π)/3212 weeks
213-18.07272 -63.02771 (213*2π)/3212 weeks
214-11.3243 -118.2642 (214*2π)/3212 weeks
21534.04453 -156.3483 (215*2π)/3211 weeks
21683.59531 -155.9511 (216*2π)/3211 weeks
217124.11 -131.5692 (217*2π)/3211 weeks
218137.1064 -81.98166 (218*2π)/3211 weeks
219110.0776 -42.62455 (219*2π)/3211 weeks
22057.24949 -30.70098 (220*2π)/3211 weeks
2216.87378 -88.29702 (221*2π)/3211 weeks
22252.95708 -162.3761 (222*2π)/3211 weeks
223130.2227 -150.6127 (223*2π)/3211 weeks
224158.9668 -89.31347 (224*2π)/3211 weeks
225130.6191 -37.10228 (225*2π)/3211 weeks
22677.46104 -25.62535 (226*2π)/3211 weeks
22734.9086 -63.24525 (227*2π)/3211 weeks
22847.7399 -117.591 (228*2π)/3211 weeks
22993.14952 -132.1343 (229*2π)/3211 weeks
230129.0167 -109.0616 (230*2π)/3211 weeks
231126.7822 -65.22827 (231*2π)/3211 weeks
23291.35924 -63.70337 (232*2π)/3211 weeks
233102.9385 -80.09248 (233*2π)/3211 weeks
234100.6314 -56.44907 (234*2π)/3211 weeks
23587.13599 -71.7134 (235*2π)/3211 weeks
236107.6754 -55.67833 (236*2π)/3211 weeks
23776.35477 -37.7819 (237*2π)/3211 weeks
23865.79905 -47.99292 (238*2π)/3211 weeks
23940.89404 -47.36091 (239*2π)/3211 weeks
24026.34696 -86.59073 (240*2π)/3211 weeks
24150.45815 -113.3315 (241*2π)/3211 weeks
24289.38964 -114.4775 (242*2π)/3211 weeks
243105.8358 -65.96522 (243*2π)/3211 weeks
24466.61979 -45.41404 (244*2π)/3211 weeks
24548.9092 -49.51049 (245*2π)/3211 weeks
24611.73161 -53.64849 (246*2π)/3211 weeks
247-3.34147 -113.69 (247*2π)/3211 weeks
24853.87765 -138.2292 (248*2π)/3211 weeks
24986.03227 -100.1545 (249*2π)/3211 weeks
25070.85265 -47.11253 (250*2π)/3211 weeks
2515.35128 -33.22663 (251*2π)/3211 weeks
252-40.18315 -67.80901 (252*2π)/3211 weeks
253-69.88075 -125.3595 (253*2π)/3211 weeks
254-35.60022 -193.7557 (254*2π)/3211 weeks
25521.95782 -200.916 (255*2π)/3211 weeks
25652.08158 -162.5565 (256*2π)/3211 weeks
2572.47629 -135.9978 (257*2π)/3211 weeks
258-19.46107 -208.9233 (258*2π)/3211 weeks
25948.53922 -248.2857 (259*2π)/3211 weeks
260117.8032 -218.8073 (260*2π)/3211 weeks
261142.6759 -138.8417 (261*2π)/3211 weeks
26293.80818 -64.75262 (262*2π)/3211 weeks
2632.4714 -45.7388 (263*2π)/3211 weeks
264-69.32951 -104.5661 (264*2π)/3211 weeks
265-68.24223 -152.4442 (265*2π)/3211 weeks
266-110.046 -164.7926 (266*2π)/3211 weeks
267-169.3633 -273.4355 (267*2π)/3211 weeks
268-84.17973 -434.0581 (268*2π)/3211 weeks
269111.1381 -440.274 (269*2π)/3211 weeks
270204.863 -299.8093 (270*2π)/3211 weeks
271154.796 -177.6911 (271*2π)/3211 weeks
27272.23215 -141.8946 (272*2π)/3211 weeks
273-19.14957 -152.0115 (273*2π)/3211 weeks
274-65.11826 -230.5111 (274*2π)/3211 weeks
275-55.84151 -268.1021 (275*2π)/3211 weeks
276-94.19143 -290.8574 (276*2π)/3211 weeks
277-145.5298 -391.1286 (277*2π)/3211 weeks
278-91.98566 -560.9536 (278*2π)/3211 weeks
279108.6736 -636.0104 (279*2π)/3211 weeks
280264.2558 -533.9988 (280*2π)/3211 weeks
281290.0786 -423.0668 (281*2π)/3211 weeks
282298.1158 -350.7916 (282*2π)/3211 weeks
283263.7477 -257.4905 (283*2π)/3211 weeks
284177.7981 -233.1138 (284*2π)/3211 weeks
285135.9158 -241.5337 (285*2π)/3211 weeks
28655.80341 -223.256 (286*2π)/3211 weeks
287-82.18974 -336.9307 (287*2π)/3211 weeks
288-21.92585 -566.0676 (288*2π)/3211 weeks
289180.4844 -611.6921 (289*2π)/3211 weeks
290304.0639 -526.5134 (290*2π)/3211 weeks
291314.1233 -413.9078 (291*2π)/3211 weeks
292286.6006 -378.4172 (292*2π)/3211 weeks
293242.6487 -323.3435 (293*2π)/3211 weeks
294182.7292 -391.5331 (294*2π)/3211 weeks
295270.4643 -379.212 (295*2π)/3211 weeks
296170.5925 -258.8511 (296*2π)/3211 weeks
297-14.35977 -389.7308 (297*2π)/3211 weeks
29853.93855 -619.9445 (298*2π)/3211 weeks
299246.6861 -653.1696 (299*2π)/3211 weeks
300318.9714 -557.1924 (300*2π)/3211 weeks
301322.6326 -517.7426 (301*2π)/3211 weeks
302284.2917 -425.7647 (302*2π)/3211 weeks
303127.5686 -501.8226 (303*2π)/3211 weeks
304171.7841 -676.0877 (304*2π)/3211 weeks
305283.9052 -716.0417 (305*2π)/3211 weeks
306342.2202 -732.4926 (306*2π)/3211 weeks
307468.6811 -730.0635 (307*2π)/3211 weeks
308506.0891 -549.5797 (308*2π)/3211 weeks
309276.6691 -476.6065 (309*2π)/3211 weeks
310130.1458 -758.5026 (310*2π)/3211 weeks
311357.621 -896.2836 (311*2π)/3211 weeks
312324.4486 -810.3666 (312*2π)/3211 weeks
313247.6007 -951.8606 (313*2π)/3211 weeks
314168.5344 -1,171.188 (314*2π)/3211 weeks
315392.1504 -1,533.719 (315*2π)/3211 weeks
316502.1171 -1,436.005 (316*2π)/3211 weeks
31772.06596 -2,045.853 (317*2π)/3211 weeks
318796.5298 -3,367.003 (318*2π)/3211 weeks
3192,297.881 -4,083.005 (319*2π)/3211 weeks



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