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Fourier Analysis of XGTI (XG Technology Inc)


XGTI (XG Technology Inc) appears to have interesting cyclic behaviour every 22 weeks (837.4619*sine), 21 weeks (801.0345*sine), and 29 weeks (773.3241*sine).

XGTI (XG Technology Inc) has an average price of 4,754.06 (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 10/9/2017 for XGTI (XG Technology Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
04,754.057   0 
15,449.625 5,033.99 (1*2π)/287287 weeks
22,138.152 4,374.582 (2*2π)/287144 weeks
3408.3454 3,302.49 (3*2π)/28796 weeks
4273.5081 1,765.99 (4*2π)/28772 weeks
5595.2635 1,707.624 (5*2π)/28757 weeks
6198.8365 1,446.927 (6*2π)/28748 weeks
7269.1588 1,090.515 (7*2π)/28741 weeks
8353.989 910.3419 (8*2π)/28736 weeks
9385.5081 1,009.249 (9*2π)/28732 weeks
10137.3262 773.3241 (10*2π)/28729 weeks
11406.5181 519.3125 (11*2π)/28726 weeks
12586.8632 712.8113 (12*2π)/28724 weeks
13434.5565 837.4619 (13*2π)/28722 weeks
14342.4281 801.0345 (14*2π)/28721 weeks
15223.434 778.4773 (15*2π)/28719 weeks
16135.6142 584.5338 (16*2π)/28718 weeks
17320.2662 477.2728 (17*2π)/28717 weeks
18356.6845 585.1342 (18*2π)/28716 weeks
19353.7396 648.4687 (19*2π)/28715 weeks
20201.7863 745.395 (20*2π)/28714 weeks
21-15.06288 582.989 (21*2π)/28714 weeks
2292.05685 307.5361 (22*2π)/28713 weeks
23303.8849 379.0566 (23*2π)/28712 weeks
24215.0342 453.2798 (24*2π)/28712 weeks
25266.8371 360.9706 (25*2π)/28711 weeks
26320.6409 426.2693 (26*2π)/28711 weeks
27359.7333 482.3485 (27*2π)/28711 weeks
28307.3971 627.0391 (28*2π)/28710 weeks
29108.0061 691.59 (29*2π)/28710 weeks
30-101.7729 497.9627 (30*2π)/28710 weeks
318.3105 264.6677 (31*2π)/2879 weeks
32142.3431 265.5992 (32*2π)/2879 weeks
33192.3254 262.3169 (33*2π)/2879 weeks
34297.4645 290.316 (34*2π)/2878 weeks
35331.9203 405.8708 (35*2π)/2878 weeks
36323.699 498.7106 (36*2π)/2878 weeks
37248.9942 654.1342 (37*2π)/2878 weeks
38-2.54672 696.715 (38*2π)/2878 weeks
39-161.4459 506.7029 (39*2π)/2877 weeks
40-123.5045 343.9215 (40*2π)/2877 weeks
41-64.49088 301.479 (41*2π)/2877 weeks
42-72.74499 259.8093 (42*2π)/2877 weeks
43-11.68542 164.9389 (43*2π)/2877 weeks
4499.46818 163.4485 (44*2π)/2877 weeks
45203.3875 231.7921 (45*2π)/2876 weeks
46204.2121 414.2905 (46*2π)/2876 weeks
47.4894 518.0057 (47*2π)/2876 weeks
48-182.8435 366.3776 (48*2π)/2876 weeks
49-140.17 196.8607 (49*2π)/2876 weeks
50-76.61166 171.1532 (50*2π)/2876 weeks
51-76.15599 113.2612 (51*2π)/2876 weeks
5220.57946 48.87024 (52*2π)/2876 weeks
53126.7724 90.58899 (53*2π)/2875 weeks
54158.3057 194.8649 (54*2π)/2875 weeks
5594.50986 269.9137 (55*2π)/2875 weeks
56.8503 260.5432 (56*2π)/2875 weeks
57-14.86337 165.0882 (57*2π)/2875 weeks
5856.66039 173.6454 (58*2π)/2875 weeks
5925.12353 224.5289 (59*2π)/2875 weeks
60-47.19654 211.6479 (60*2π)/2875 weeks
61-74.20789 120.9204 (61*2π)/2875 weeks
62-30.8844 61.35442 (62*2π)/2875 weeks
6342.10395 33.88647 (63*2π)/2875 weeks
6497.13739 87.83186 (64*2π)/2874 weeks
6576.67468 145.1973 (65*2π)/2874 weeks
664.34606 139.3977 (66*2π)/2874 weeks
679.87883 62.43493 (67*2π)/2874 weeks
6855.78685 55.78904 (68*2π)/2874 weeks
6981.52845 49.78633 (69*2π)/2874 weeks
70121.9691 92.38854 (70*2π)/2874 weeks
7179.61993 132.9529 (71*2π)/2874 weeks
7240.09787 114.8324 (72*2π)/2874 weeks
7333.47419 64.95525 (73*2π)/2874 weeks
7470.94247 51.6937 (74*2π)/2874 weeks
7581.80715 44.17319 (75*2π)/2874 weeks
76120.451 62.43708 (76*2π)/2874 weeks
7795.50036 77.18899 (77*2π)/2874 weeks
78119.2273 68.11105 (78*2π)/2874 weeks
79105.0992 89.18877 (79*2π)/2874 weeks
80119.0176 62.59366 (80*2π)/2874 weeks
81150.9785 102.3307 (81*2π)/2874 weeks
82117.7467 144.0264 (82*2π)/2874 weeks
8361.13567 137.9604 (83*2π)/2873 weeks
8438.08751 73.91786 (84*2π)/2873 weeks
8590.98843 27.84229 (85*2π)/2873 weeks
86155.3383 49.34164 (86*2π)/2873 weeks
87175.4897 122.8777 (87*2π)/2873 weeks
88113.0062 184.7306 (88*2π)/2873 weeks
8917.41736 145.1481 (89*2π)/2873 weeks
9038.76752 45.24188 (90*2π)/2873 weeks
91112.9646 41.49378 (91*2π)/2873 weeks
92151.8868 86.01748 (92*2π)/2873 weeks
93138.159 147.9145 (93*2π)/2873 weeks
9486.66473 176.0693 (94*2π)/2873 weeks
9522.71964 168.7012 (95*2π)/2873 weeks
96-20.25256 108.5441 (96*2π)/2873 weeks
97-12.74278 41.96074 (97*2π)/2873 weeks
9843.28563 -11.17458 (98*2π)/2873 weeks
99122.763 12.80384 (99*2π)/2873 weeks
100122.9099 83.77441 (100*2π)/2873 weeks
10173.38477 80.3356 (101*2π)/2873 weeks
102104.2799 46.84832 (102*2π)/2873 weeks
103135.3196 106.6701 (103*2π)/2873 weeks
10464.91339 143.8797 (104*2π)/2873 weeks
10530.27923 93.73959 (105*2π)/2873 weeks
10643.39355 74.87383 (106*2π)/2873 weeks
10736.06792 69.76713 (107*2π)/2873 weeks
10841.14642 36.50805 (108*2π)/2873 weeks
10962.83526 42.52965 (109*2π)/2873 weeks
11070.17735 20.01884 (110*2π)/2873 weeks
111117.2066 42.87279 (111*2π)/2873 weeks
112103.3689 86.23012 (112*2π)/2873 weeks
11381.99003 89.15427 (113*2π)/2873 weeks
11481.5713 111.7732 (114*2π)/2873 weeks
1159.42847 133.7658 (115*2π)/2872 weeks
116-31.31628 45.6684 (116*2π)/2872 weeks
11721.28022 13.75138 (117*2π)/2872 weeks
11816.56217 10.46622 (118*2π)/2872 weeks
11953.86091 -39.72621 (119*2π)/2872 weeks
120132.6788 1.14514 (120*2π)/2872 weeks
121109.2435 77.6127 (121*2π)/2872 weeks
12255.04305 84.5796 (122*2π)/2872 weeks
12318.97721 59.24658 (123*2π)/2872 weeks
12414.27815 3.85298 (124*2π)/2872 weeks
12581.32426 -16.89499 (125*2π)/2872 weeks
12693.98083 52.68513 (126*2π)/2872 weeks
12732.01834 53.56329 (127*2π)/2872 weeks
12831.25849 2.45113 (128*2π)/2872 weeks
12962.14745 -2.34206 (129*2π)/2872 weeks
13070.10367 1.40631 (130*2π)/2872 weeks
13182.04341 4.96016 (131*2π)/2872 weeks
13293.5062 20.20629 (132*2π)/2872 weeks
13379.03163 38.0191 (133*2π)/2872 weeks
13479.53692 30.80441 (134*2π)/2872 weeks
13573.71051 67.6132 (135*2π)/2872 weeks
1369.37981 55.66278 (136*2π)/2872 weeks
1379.95038 -11.91831 (137*2π)/2872 weeks
13860.20536 -29.74968 (138*2π)/2872 weeks
13992.73174 -3.18073 (139*2π)/2872 weeks
14088.8047 35.62402 (140*2π)/2872 weeks
14151.73087 58.34377 (141*2π)/2872 weeks
1423.58437 24.87288 (142*2π)/2872 weeks
14338.52555 -18.31203 (143*2π)/2872 weeks
14438.52555 18.31203 (144*2π)/2872 weeks
1453.58437 -24.87288 (145*2π)/2872 weeks
14651.73087 -58.34377 (146*2π)/2872 weeks
14788.8047 -35.62402 (147*2π)/2872 weeks
14892.73174 3.18073 (148*2π)/2872 weeks
14960.20536 29.74968 (149*2π)/2872 weeks
1509.95038 11.91831 (150*2π)/2872 weeks
1519.37981 -55.66278 (151*2π)/2872 weeks
15273.71051 -67.6132 (152*2π)/2872 weeks
15379.53692 -30.80441 (153*2π)/2872 weeks
15479.03163 -38.0191 (154*2π)/2872 weeks
15593.5062 -20.20629 (155*2π)/2872 weeks
15682.04341 -4.96016 (156*2π)/2872 weeks
15770.10367 -1.40631 (157*2π)/2872 weeks
15862.14745 2.34206 (158*2π)/2872 weeks
15931.25849 -2.45113 (159*2π)/2872 weeks
16032.01834 -53.56329 (160*2π)/2872 weeks
16193.98083 -52.68513 (161*2π)/2872 weeks
16281.32426 16.89499 (162*2π)/2872 weeks
16314.27815 -3.85298 (163*2π)/2872 weeks
16418.97721 -59.24658 (164*2π)/2872 weeks
16555.04305 -84.5796 (165*2π)/2872 weeks
166109.2435 -77.6127 (166*2π)/2872 weeks
167132.6788 -1.14514 (167*2π)/2872 weeks
16853.86091 39.72621 (168*2π)/2872 weeks
16916.56217 -10.46622 (169*2π)/2872 weeks
17021.28022 -13.75138 (170*2π)/2872 weeks
171-31.31628 -45.6684 (171*2π)/2872 weeks
1729.42847 -133.7658 (172*2π)/2872 weeks
17381.5713 -111.7732 (173*2π)/2872 weeks
17481.99003 -89.15427 (174*2π)/2872 weeks
175103.3689 -86.23012 (175*2π)/2872 weeks
176117.2066 -42.87279 (176*2π)/2872 weeks
17770.17735 -20.01884 (177*2π)/2872 weeks
17862.83526 -42.52965 (178*2π)/2872 weeks
17941.14642 -36.50805 (179*2π)/2872 weeks
18036.06792 -69.76713 (180*2π)/2872 weeks
18143.39355 -74.87383 (181*2π)/2872 weeks
18230.27923 -93.73959 (182*2π)/2872 weeks
18364.91339 -143.8797 (183*2π)/2872 weeks
184135.3196 -106.6701 (184*2π)/2872 weeks
185104.2799 -46.84832 (185*2π)/2872 weeks
18673.38477 -80.3356 (186*2π)/2872 weeks
187122.9099 -83.77441 (187*2π)/2872 weeks
188122.763 -12.80384 (188*2π)/2872 weeks
18943.28563 11.17458 (189*2π)/2872 weeks
190-12.74278 -41.96074 (190*2π)/2872 weeks
191-20.25256 -108.5441 (191*2π)/2872 weeks
19222.71964 -168.7012 (192*2π)/2871 weeks
19386.66473 -176.0693 (193*2π)/2871 weeks
194138.159 -147.9145 (194*2π)/2871 weeks
195151.8868 -86.01748 (195*2π)/2871 weeks
196112.9646 -41.49378 (196*2π)/2871 weeks
19738.76752 -45.24188 (197*2π)/2871 weeks
19817.41736 -145.1481 (198*2π)/2871 weeks
199113.0062 -184.7306 (199*2π)/2871 weeks
200175.4897 -122.8777 (200*2π)/2871 weeks
201155.3383 -49.34164 (201*2π)/2871 weeks
20290.98843 -27.84229 (202*2π)/2871 weeks
20338.08751 -73.91786 (203*2π)/2871 weeks
20461.13567 -137.9604 (204*2π)/2871 weeks
205117.7467 -144.0264 (205*2π)/2871 weeks
206150.9785 -102.3307 (206*2π)/2871 weeks
207119.0176 -62.59366 (207*2π)/2871 weeks
208105.0992 -89.18877 (208*2π)/2871 weeks
209119.2273 -68.11105 (209*2π)/2871 weeks
21095.50036 -77.18899 (210*2π)/2871 weeks
211120.451 -62.43708 (211*2π)/2871 weeks
21281.80715 -44.17319 (212*2π)/2871 weeks
21370.94247 -51.6937 (213*2π)/2871 weeks
21433.47419 -64.95525 (214*2π)/2871 weeks
21540.09787 -114.8324 (215*2π)/2871 weeks
21679.61993 -132.9529 (216*2π)/2871 weeks
217121.9691 -92.38854 (217*2π)/2871 weeks
21881.52845 -49.78633 (218*2π)/2871 weeks
21955.78685 -55.78904 (219*2π)/2871 weeks
2209.87883 -62.43493 (220*2π)/2871 weeks
2214.34606 -139.3977 (221*2π)/2871 weeks
22276.67468 -145.1973 (222*2π)/2871 weeks
22397.13739 -87.83186 (223*2π)/2871 weeks
22442.10395 -33.88647 (224*2π)/2871 weeks
225-30.8844 -61.35442 (225*2π)/2871 weeks
226-74.20789 -120.9204 (226*2π)/2871 weeks
227-47.19654 -211.6479 (227*2π)/2871 weeks
22825.12353 -224.5289 (228*2π)/2871 weeks
22956.66039 -173.6454 (229*2π)/2871 weeks
230-14.86337 -165.0882 (230*2π)/2871 weeks
231.8503 -260.5432 (231*2π)/2871 weeks
23294.50986 -269.9137 (232*2π)/2871 weeks
233158.3057 -194.8649 (233*2π)/2871 weeks
234126.7724 -90.58899 (234*2π)/2871 weeks
23520.57946 -48.87024 (235*2π)/2871 weeks
236-76.15599 -113.2612 (236*2π)/2871 weeks
237-76.61166 -171.1532 (237*2π)/2871 weeks
238-140.17 -196.8607 (238*2π)/2871 weeks
239-182.8435 -366.3776 (239*2π)/2871 weeks
240.4894 -518.0057 (240*2π)/2871 weeks
241204.2121 -414.2905 (241*2π)/2871 weeks
242203.3875 -231.7921 (242*2π)/2871 weeks
24399.46818 -163.4485 (243*2π)/2871 weeks
244-11.68542 -164.9389 (244*2π)/2871 weeks
245-72.74499 -259.8093 (245*2π)/2871 weeks
246-64.49088 -301.479 (246*2π)/2871 weeks
247-123.5045 -343.9215 (247*2π)/2871 weeks
248-161.4459 -506.7029 (248*2π)/2871 weeks
249-2.54672 -696.715 (249*2π)/2871 weeks
250248.9942 -654.1342 (250*2π)/2871 weeks
251323.699 -498.7106 (251*2π)/2871 weeks
252331.9203 -405.8708 (252*2π)/2871 weeks
253297.4645 -290.316 (253*2π)/2871 weeks
254192.3254 -262.3169 (254*2π)/2871 weeks
255142.3431 -265.5992 (255*2π)/2871 weeks
2568.3105 -264.6677 (256*2π)/2871 weeks
257-101.7729 -497.9627 (257*2π)/2871 weeks
258108.0061 -691.59 (258*2π)/2871 weeks
259307.3971 -627.0391 (259*2π)/2871 weeks
260359.7333 -482.3485 (260*2π)/2871 weeks
261320.6409 -426.2693 (261*2π)/2871 weeks
262266.8371 -360.9706 (262*2π)/2871 weeks
263215.0342 -453.2798 (263*2π)/2871 weeks
264303.8849 -379.0566 (264*2π)/2871 weeks
26592.05685 -307.5361 (265*2π)/2871 weeks
266-15.06288 -582.989 (266*2π)/2871 weeks
267201.7863 -745.395 (267*2π)/2871 weeks
268353.7396 -648.4687 (268*2π)/2871 weeks
269356.6845 -585.1342 (269*2π)/2871 weeks
270320.2662 -477.2728 (270*2π)/2871 weeks
271135.6142 -584.5338 (271*2π)/2871 weeks
272223.434 -778.4773 (272*2π)/2871 weeks
273342.4281 -801.0345 (273*2π)/2871 weeks
274434.5565 -837.4619 (274*2π)/2871 weeks
275586.8632 -712.8113 (275*2π)/2871 weeks
276406.5181 -519.3125 (276*2π)/2871 weeks
277137.3262 -773.3241 (277*2π)/2871 weeks
278385.5081 -1,009.249 (278*2π)/2871 weeks
279353.989 -910.3419 (279*2π)/2871 weeks
280269.1588 -1,090.515 (280*2π)/2871 weeks
281198.8365 -1,446.927 (281*2π)/2871 weeks
282595.2635 -1,707.624 (282*2π)/2871 weeks
283273.5081 -1,765.99 (283*2π)/2871 weeks
284408.3454 -3,302.49 (284*2π)/2871 weeks
2852,138.152 -4,374.582 (285*2π)/2871 weeks



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