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Fourier Analysis of GILT (Gilat Satellite Networks Ltd.)


GILT (Gilat Satellite Networks Ltd.) appears to have interesting cyclic behaviour every 124 weeks (71.2484*cosine), 113 weeks (69.7673*sine), and 83 weeks (50.082*cosine).

GILT (Gilat Satellite Networks Ltd.) has an average price of 253.48 (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 3/26/1993 to 1/9/2017 for GILT (Gilat Satellite Networks Ltd.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0253.4805   0 
154.07571 422.7909 (1*2π)/12421,242 weeks
2-273.1229 21.32374 (2*2π)/1242621 weeks
373.0602 -162.7299 (3*2π)/1242414 weeks
4109.456 132.7524 (4*2π)/1242311 weeks
5-130.948 64.0732 (5*2π)/1242248 weeks
6-5.91448 -114.3587 (6*2π)/1242207 weeks
7103.0639 33.65193 (7*2π)/1242177 weeks
8-42.46555 76.44962 (8*2π)/1242155 weeks
9-34.74187 -53.06245 (9*2π)/1242138 weeks
1071.24839 -7.70223 (10*2π)/1242124 weeks
116.6819 69.76725 (11*2π)/1242113 weeks
12-40.26533 .07381 (12*2π)/1242104 weeks
1325.89666 -12.41547 (13*2π)/124296 weeks
147.06666 47.9646 (14*2π)/124289 weeks
15-50.08199 7.136 (15*2π)/124283 weeks
161.71179 -43.94361 (16*2π)/124278 weeks
1744.39214 9.19031 (17*2π)/124273 weeks
18-7.72733 42.1083 (18*2π)/124269 weeks
19-29.541 -7.47562 (19*2π)/124265 weeks
2017.19403 -19.17309 (20*2π)/124262 weeks
2118.9451 26.62361 (21*2π)/124259 weeks
22-26.80182 20.32544 (22*2π)/124256 weeks
23-13.8677 -25.39111 (23*2π)/124254 weeks
2429.33171 -6.45993 (24*2π)/124252 weeks
255.09062 32.22259 (25*2π)/124250 weeks
26-29.01077 2.80817 (26*2π)/124248 weeks
273.65496 -25.61167 (27*2π)/124246 weeks
2826.0683 9.05552 (28*2π)/124244 weeks
29-11.13805 22.8928 (29*2π)/124243 weeks
30-15.41658 -16.62609 (30*2π)/124241 weeks
3125.86354 -12.24428 (31*2π)/124240 weeks
3213.94369 27.6713 (32*2π)/124239 weeks
33-19.65303 9.95022 (33*2π)/124238 weeks
344.02241 -13.04748 (34*2π)/124237 weeks
3513.81018 15.72099 (35*2π)/124235 weeks
36-17.85062 13.77681 (36*2π)/124235 weeks
37-6.68126 -17.55781 (37*2π)/124234 weeks
3821.50698 .66397 (38*2π)/124233 weeks
39-1.97411 24.6995 (39*2π)/124232 weeks
40-22.08399 -3.17168 (40*2π)/124231 weeks
418.54242 -19.11708 (41*2π)/124230 weeks
4219.98528 13.13804 (42*2π)/124230 weeks
43-12.95563 18.32681 (43*2π)/124229 weeks
44-10.42864 -13.00666 (44*2π)/124228 weeks
4517.31987 -1.46422 (45*2π)/124228 weeks
46-4.05195 19.79654 (46*2π)/124227 weeks
47-16.46173 -9.29146 (47*2π)/124226 weeks
4816.48691 -11.4736 (48*2π)/124226 weeks
498.15362 19.92855 (49*2π)/124225 weeks
50-16.9805 2.53316 (50*2π)/124225 weeks
516.87541 -13.54497 (51*2π)/124224 weeks
5213.59095 12.69831 (52*2π)/124224 weeks
53-10.63688 11.96782 (53*2π)/124223 weeks
54-5.25101 -6.13168 (54*2π)/124223 weeks
554.581 1.12462 (55*2π)/124223 weeks
56-2.32717 3.29008 (56*2π)/124222 weeks
57.89367 -2.12337 (57*2π)/124222 weeks
583.7619 3.8096 (58*2π)/124221 weeks
59-2.47155 4.52521 (59*2π)/124221 weeks
60-1.81904 -.80245 (60*2π)/124221 weeks
612.04326 -.1631 (61*2π)/124220 weeks
622.46948 2.90225 (62*2π)/124220 weeks
63-.46378 4.68799 (63*2π)/124220 weeks
64-3.45989 1.59297 (64*2π)/124219 weeks
65.03233 -1.84033 (65*2π)/124219 weeks
662.30732 1.74605 (66*2π)/124219 weeks
67-.83951 1.89134 (67*2π)/124219 weeks
681.64228 -.4821 (68*2π)/124218 weeks
692.46697 4.87141 (69*2π)/124218 weeks
70-5.22498 3.43697 (70*2π)/124218 weeks
71-1.18266 -5.86467 (71*2π)/124217 weeks
728.7058 1.1427 (72*2π)/124217 weeks
73-1.19721 9.93222 (73*2π)/124217 weeks
74-7.12053 -2.15845 (74*2π)/124217 weeks
756.20507 -4.23766 (75*2π)/124217 weeks
763.87897 9.4881 (76*2π)/124216 weeks
77-8.67508 2.84588 (77*2π)/124216 weeks
781.33899 -6.63214 (78*2π)/124216 weeks
796.34509 5.34218 (79*2π)/124216 weeks
80-6.02645 5.20558 (80*2π)/124216 weeks
81-.97804 -5.78876 (81*2π)/124215 weeks
826.96879 3.1836 (82*2π)/124215 weeks
83-4.39207 7.059 (83*2π)/124215 weeks
84-4.29278 -4.87113 (84*2π)/124215 weeks
856.63885 -1.5402 (85*2π)/124215 weeks
861.63764 7.26979 (86*2π)/124214 weeks
87-4.68789 2.276 (87*2π)/124214 weeks
88-.85891 -1.94467 (88*2π)/124214 weeks
892.104 .44951 (89*2π)/124214 weeks
90.60388 3.40278 (90*2π)/124214 weeks
91-3.00003 1.80598 (91*2π)/124214 weeks
92-.24217 -2.36822 (92*2π)/124214 weeks
933.43194 2.62494 (93*2π)/124213 weeks
94-4.32419 4.57307 (94*2π)/124213 weeks
95-3.49689 -5.27893 (95*2π)/124213 weeks
966.63327 -1.30575 (96*2π)/124213 weeks
97-.90616 6.95054 (97*2π)/124213 weeks
98-5.34058 -3.75259 (98*2π)/124213 weeks
997.71764 -3.58978 (99*2π)/124213 weeks
1002.73464 10.14731 (100*2π)/124212 weeks
101-9.79825 1.28257 (101*2π)/124212 weeks
1021.56731 -8.58669 (102*2π)/124212 weeks
1037.85856 3.61698 (103*2π)/124212 weeks
104-3.71316 6.00856 (104*2π)/124212 weeks
105-2.42027 -3.95459 (105*2π)/124212 weeks
1065.4961 .30696 (106*2π)/124212 weeks
107-.58174 6.3118 (107*2π)/124212 weeks
108-5.21988 -.20948 (108*2π)/124212 weeks
109.73262 -4.16686 (109*2π)/124211 weeks
1104.43521 .76253 (110*2π)/124211 weeks
111.14501 4.31555 (111*2π)/124211 weeks
112-3.21004 .1217 (112*2π)/124211 weeks
1131.457 -2.82617 (113*2π)/124211 weeks
1143.46751 2.51888 (114*2π)/124211 weeks
115-2.53264 2.63578 (115*2π)/124211 weeks
116.098 -3.76945 (116*2π)/124211 weeks
1176.68606 1.79324 (117*2π)/124211 weeks
118-1.22965 8.15105 (118*2π)/124211 weeks
119-6.78981 -1.11306 (119*2π)/124210 weeks
1202.98203 -5.02573 (120*2π)/124210 weeks
1214.57925 4.33202 (121*2π)/124210 weeks
122-3.77825 3.44854 (122*2π)/124210 weeks
123-.60541 -3.38369 (123*2π)/124210 weeks
1244.38603 1.27394 (124*2π)/124210 weeks
125-.53305 4.28044 (125*2π)/124210 weeks
126-1.22896 .08988 (126*2π)/124210 weeks
1271.60316 2.02725 (127*2π)/124210 weeks
128-2.54682 3.67981 (128*2π)/124210 weeks
129-3.49008 -1.32598 (129*2π)/124210 weeks
130.65948 -1.90052 (130*2π)/124210 weeks
131.96146 .29824 (131*2π)/12429 weeks
132.82656 .50447 (132*2π)/12429 weeks
133.21334 1.57092 (133*2π)/12429 weeks
134-1.1636 .23503 (134*2π)/12429 weeks
1351.17891 -.72985 (135*2π)/12429 weeks
1361.21532 2.36648 (136*2π)/12429 weeks
137-2.02289 1.43805 (137*2π)/12429 weeks
138-.3585 -1.11901 (138*2π)/12429 weeks
139.88871 .93338 (139*2π)/12429 weeks
140-1.38755 .6665 (140*2π)/12429 weeks
141-.01216 -1.74097 (141*2π)/12429 weeks
1422.48382 .05253 (142*2π)/12429 weeks
143.74771 2.4877 (143*2π)/12429 weeks
144-1.48186 .88767 (144*2π)/12429 weeks
145.14062 -.99409 (145*2π)/12429 weeks
1461.67228 .83054 (146*2π)/12429 weeks
147-.3276 1.76329 (147*2π)/12428 weeks
148-.46298 .06513 (148*2π)/12428 weeks
149.40527 1.03841 (149*2π)/12428 weeks
150-1.80103 .52376 (150*2π)/12428 weeks
151.26227 -2.57892 (151*2π)/12428 weeks
1523.60966 .86555 (152*2π)/12428 weeks
153-.91682 3.60885 (153*2π)/12428 weeks
154-2.31316 -1.69713 (154*2π)/12428 weeks
1553.49926 -1.284 (155*2π)/12428 weeks
1561.17716 4.5591 (156*2π)/12428 weeks
157-4.12306 .49943 (157*2π)/12428 weeks
1581.47899 -3.55246 (158*2π)/12428 weeks
1593.60563 3.43222 (159*2π)/12428 weeks
160-4.41362 3.29638 (160*2π)/12428 weeks
161-2.10088 -5.24426 (161*2π)/12428 weeks
1626.02527 -.98795 (162*2π)/12428 weeks
163.44525 5.65139 (163*2π)/12428 weeks
164-3.9637 -.70079 (164*2π)/12428 weeks
1652.62309 -2.33738 (165*2π)/12428 weeks
1661.49824 3.92834 (166*2π)/12427 weeks
167-4.15729 .49675 (167*2π)/12427 weeks
168.87942 -4.3405 (168*2π)/12427 weeks
1694.89939 1.47122 (169*2π)/12427 weeks
170-.99544 4.80824 (170*2π)/12427 weeks
171-3.88086 -.64663 (171*2π)/12427 weeks
172.75973 -3.24962 (172*2π)/12427 weeks
1733.03669 .40455 (173*2π)/12427 weeks
174.13503 2.13046 (174*2π)/12427 weeks
175-.77983 -.47473 (175*2π)/12427 weeks
1761.79058 -.2902 (176*2π)/12427 weeks
177.65052 2.17578 (177*2π)/12427 weeks
178-1.41446 .00996 (178*2π)/12427 weeks
1791.57443 -1.08873 (179*2π)/12427 weeks
1801.45406 2.45271 (180*2π)/12427 weeks
181-2.19938 .90186 (181*2π)/12427 weeks
182.71034 -2.26 (182*2π)/12427 weeks
1832.93446 1.65039 (183*2π)/12427 weeks
184-1.44444 2.60824 (184*2π)/12427 weeks
185-.95796 -1.52694 (185*2π)/12427 weeks
1862.38074 .36441 (186*2π)/12427 weeks
187-.67631 2.73893 (187*2π)/12427 weeks
188-2.14359 -1.0578 (188*2π)/12427 weeks
1891.61757 -1.78729 (189*2π)/12427 weeks
1901.80388 1.21901 (190*2π)/12427 weeks
191.00433 1.04413 (191*2π)/12427 weeks
192.35184 .32336 (192*2π)/12426 weeks
193.44728 .64754 (193*2π)/12426 weeks
194.37826 .82348 (194*2π)/12426 weeks
195-.47339 .95477 (195*2π)/12426 weeks
196-.61753 -.97838 (196*2π)/12426 weeks
1972.45243 -.60662 (197*2π)/12426 weeks
1981.09386 3.17621 (198*2π)/12426 weeks
199-2.78811 .51549 (199*2π)/12426 weeks
2001.33737 -2.76068 (200*2π)/12426 weeks
2013.45558 2.57109 (201*2π)/12426 weeks
202-2.62581 3.26481 (202*2π)/12426 weeks
203-1.75366 -2.85988 (203*2π)/12426 weeks
2043.71906 -.5191 (204*2π)/12426 weeks
205.2567 3.78127 (205*2π)/12426 weeks
206-2.66015 -.28531 (206*2π)/12426 weeks
2071.44898 -1.94177 (207*2π)/12426 weeks
2082.22974 1.68778 (208*2π)/12426 weeks
209-.57256 2.01098 (209*2π)/12426 weeks
210-.65227 .27799 (210*2π)/12426 weeks
211-.01869 .3954 (211*2π)/12426 weeks
212-.46281 .18901 (212*2π)/12426 weeks
213.28164 -.70057 (213*2π)/12426 weeks
2141.68871 .2458 (214*2π)/12426 weeks
215.77331 1.97877 (215*2π)/12426 weeks
216-.96728 1.36075 (216*2π)/12426 weeks
217-.4882 .02821 (217*2π)/12426 weeks
218.08286 .67051 (218*2π)/12426 weeks
219-1.24583 .50447 (219*2π)/12426 weeks
220-.38058 -1.78943 (220*2π)/12426 weeks
2212.85097 -.27591 (221*2π)/12426 weeks
222.45911 3.7017 (222*2π)/12426 weeks
223-3.81791 -.006 (223*2π)/12426 weeks
2241.29713 -3.98765 (224*2π)/12426 weeks
2254.38823 2.48456 (225*2π)/12426 weeks
226-2.9378 3.73706 (226*2π)/12425 weeks
227-1.73826 -3.45401 (227*2π)/12425 weeks
2284.43891 .53174 (228*2π)/12425 weeks
229-2.23068 4.83269 (229*2π)/12425 weeks
230-3.99759 -3.65465 (230*2π)/12425 weeks
2314.86939 -2.61641 (231*2π)/12425 weeks
2321.09253 5.24337 (232*2π)/12425 weeks
233-4.55145 -.83531 (233*2π)/12425 weeks
2342.99685 -3.65279 (234*2π)/12425 weeks
2352.83906 4.40338 (235*2π)/12425 weeks
236-4.74775 1.61829 (236*2π)/12425 weeks
237-.01144 -4.72887 (237*2π)/12425 weeks
2384.44095 1.05562 (238*2π)/12425 weeks
239-1.54159 3.32435 (239*2π)/12425 weeks
240-1.58436 -2.17809 (240*2π)/12425 weeks
2413.01655 -.3297 (241*2π)/12425 weeks
242-.19767 3.20569 (242*2π)/12425 weeks
243-2.5657 -.79711 (243*2π)/12425 weeks
2441.54781 -1.95735 (244*2π)/12425 weeks
2451.54305 1.81682 (245*2π)/12425 weeks
246-1.60282 .81287 (246*2π)/12425 weeks
247.18552 -1.60769 (247*2π)/12425 weeks
2481.78609 .75808 (248*2π)/12425 weeks
249-.99236 1.52523 (249*2π)/12425 weeks
250-1.06166 -1.59015 (250*2π)/12425 weeks
2512.42704 -1.1073 (251*2π)/12425 weeks
2521.43237 2.72219 (252*2π)/12425 weeks
253-2.62666 1.23471 (253*2π)/12425 weeks
254-.68299 -2.8566 (254*2π)/12425 weeks
2553.18146 -.41098 (255*2π)/12425 weeks
256.16083 2.87749 (256*2π)/12425 weeks
257-2.41359 -.68385 (257*2π)/12425 weeks
2581.51886 -2.57906 (258*2π)/12425 weeks
2592.67227 1.28469 (259*2π)/12425 weeks
260-.65451 1.56774 (260*2π)/12425 weeks
261.0612 -.95799 (261*2π)/12425 weeks
2621.80443 .64689 (262*2π)/12425 weeks
263-.40172 1.62113 (263*2π)/12425 weeks
264-.53398 -.77995 (264*2π)/12425 weeks
2651.89336 -.07752 (265*2π)/12425 weeks
266.37927 2.29469 (266*2π)/12425 weeks
267-1.95417 .20787 (267*2π)/12425 weeks
268.71766 -2.08977 (268*2π)/12425 weeks
2692.90587 1.14694 (269*2π)/12425 weeks
270-.93729 3.152 (270*2π)/12425 weeks
271-2.53458 -1.13246 (271*2π)/12425 weeks
2721.84156 -2.01742 (272*2π)/12425 weeks
2731.74393 2.14443 (273*2π)/12425 weeks
274-1.89413 .80871 (274*2π)/12425 weeks
275.63307 -2.10056 (275*2π)/12425 weeks
2762.78128 1.32294 (276*2π)/12425 weeks
277-1.06845 2.78013 (277*2π)/12424 weeks
278-1.90078 -.85737 (278*2π)/12424 weeks
2791.10621 -1.23419 (279*2π)/12424 weeks
2801.07472 1.02274 (280*2π)/12424 weeks
281-.49718 .67789 (281*2π)/12424 weeks
282.01987 -.51275 (282*2π)/12424 weeks
2831.13178 .12759 (283*2π)/12424 weeks
284.59489 1.42996 (284*2π)/12424 weeks
285-.96109 1.10017 (285*2π)/12424 weeks
286-.91251 -.43175 (286*2π)/12424 weeks
287.2374 -.36549 (287*2π)/12424 weeks
288-.27894 .07268 (288*2π)/12424 weeks
289.03312 -1.27223 (289*2π)/12424 weeks
2902.36418 -.25647 (290*2π)/12424 weeks
291.59595 2.94349 (291*2π)/12424 weeks
292-3.13632 .36397 (292*2π)/12424 weeks
293.24806 -3.42336 (293*2π)/12424 weeks
2943.47797 .67221 (294*2π)/12424 weeks
295-1.04984 2.76676 (295*2π)/12424 weeks
296-1.60613 -1.65384 (296*2π)/12424 weeks
2972.00783 -.56454 (297*2π)/12424 weeks
298-.79903 1.63946 (298*2π)/12424 weeks
299-1.22603 -2.70635 (299*2π)/12424 weeks
3004.11532 -1.45491 (300*2π)/12424 weeks
3011.52256 4.09092 (301*2π)/12424 weeks
302-3.46556 .44767 (302*2π)/12424 weeks
303.97555 -3.39268 (303*2π)/12424 weeks
3043.35702 1.54969 (304*2π)/12424 weeks
305-1.73843 2.30211 (305*2π)/12424 weeks
306-.85688 -2.64327 (306*2π)/12424 weeks
3073.69799 -.30026 (307*2π)/12424 weeks
308.25794 3.61153 (308*2π)/12424 weeks
309-2.7405 -.49835 (309*2π)/12424 weeks
3101.53087 -2.33963 (310*2π)/12424 weeks
3112.0998 1.68477 (311*2π)/12424 weeks
312-1.37469 .89043 (312*2π)/12424 weeks
313.76924 -1.96563 (313*2π)/12424 weeks
3143.13116 1.36223 (314*2π)/12424 weeks
315-.97368 3.34393 (315*2π)/12424 weeks
316-2.52969 -1.08939 (316*2π)/12424 weeks
3171.83905 -2.10559 (317*2π)/12424 weeks
3182.26589 1.98841 (318*2π)/12424 weeks
319-1.34425 1.8568 (319*2π)/12424 weeks
320-.76329 -1.05511 (320*2π)/12424 weeks
3211.47954 .00121 (321*2π)/12424 weeks
322-.08027 1.74032 (322*2π)/12424 weeks
323-1.61299 -.13117 (323*2π)/12424 weeks
324.32981 -1.6922 (324*2π)/12424 weeks
3251.97177 .17958 (325*2π)/12424 weeks
326-.02497 1.8157 (326*2π)/12424 weeks
327-1.53604 -.54875 (327*2π)/12424 weeks
3281.41064 -1.82033 (328*2π)/12424 weeks
3292.23045 1.72887 (329*2π)/12424 weeks
330-1.73694 1.77226 (330*2π)/12424 weeks
331-.75598 -2.21602 (331*2π)/12424 weeks
3322.81218 -.15402 (332*2π)/12424 weeks
333-.25708 2.43384 (333*2π)/12424 weeks
334-1.44514 -1.36079 (334*2π)/12424 weeks
3352.7125 -.9032 (335*2π)/12424 weeks
336.70245 3.00593 (336*2π)/12424 weeks
337-2.38624 -.20534 (337*2π)/12424 weeks
3381.69094 -1.90656 (338*2π)/12424 weeks
3391.71272 2.60761 (339*2π)/12424 weeks
340-2.84943 .9981 (340*2π)/12424 weeks
341.10986 -3.17592 (341*2π)/12424 weeks
3423.48584 .73 (342*2π)/12424 weeks
343-.93513 3.03438 (343*2π)/12424 weeks
344-2.09327 -1.4594 (344*2π)/12424 weeks
3452.12103 -1.56676 (345*2π)/12424 weeks
3461.31453 2.14302 (346*2π)/12424 weeks
347-1.72313 .56061 (347*2π)/12424 weeks
348.41015 -1.74977 (348*2π)/12424 weeks
3492.02499 .80523 (349*2π)/12424 weeks
350-.82525 1.66601 (350*2π)/12424 weeks
351-.99745 -1.40519 (351*2π)/12424 weeks
3522.23885 -.88162 (352*2π)/12424 weeks
3531.06674 2.32961 (353*2π)/12424 weeks
354-1.83732 .50596 (354*2π)/12424 weeks
355.74394 -1.77212 (355*2π)/12423 weeks
3562.21946 1.68155 (356*2π)/12423 weeks
357-2.04991 2.30146 (357*2π)/12423 weeks
358-1.91301 -2.39403 (358*2π)/12423 weeks
3592.60151 -1.50191 (359*2π)/12423 weeks
360.90349 2.24277 (360*2π)/12423 weeks
361-1.72724 -.2151 (361*2π)/12423 weeks
3621.29439 -1.72334 (362*2π)/12423 weeks
3631.75847 1.53542 (363*2π)/12423 weeks
364-1.30705 1.10892 (364*2π)/12423 weeks
365-.20267 -1.49465 (365*2π)/12423 weeks
3661.73372 .19251 (366*2π)/12423 weeks
367-.39207 1.31727 (367*2π)/12423 weeks
368-.68645 -1.09054 (368*2π)/12423 weeks
3691.77037 -.64651 (369*2π)/12423 weeks
370.68258 1.57358 (370*2π)/12423 weeks
371-.93624 -.07773 (371*2π)/12423 weeks
3721.19159 -.9309 (372*2π)/12423 weeks
3731.2548 1.47301 (373*2π)/12423 weeks
374-1.1487 .98347 (374*2π)/12423 weeks
375-.32578 -1.10594 (375*2π)/12423 weeks
3761.30581 -.08894 (376*2π)/12423 weeks
377.11937 1.17897 (377*2π)/12423 weeks
378-1.14058 -.13417 (378*2π)/12423 weeks
379.29811 -1.7135 (379*2π)/12423 weeks
3802.20709 -.14728 (380*2π)/12423 weeks
381.37082 1.8593 (381*2π)/12423 weeks
382-1.34984 -.47343 (382*2π)/12423 weeks
3831.54302 -1.60163 (383*2π)/12423 weeks
3841.87246 1.71332 (384*2π)/12423 weeks
385-1.49871 1.014 (385*2π)/12423 weeks
386.26229 -1.97151 (386*2π)/12423 weeks
3872.59099 .65904 (387*2π)/12423 weeks
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