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Fourier Analysis of EMITF (Elbit Imaging Ltd.)


EMITF (Elbit Imaging Ltd.) appears to have interesting cyclic behaviour every 81 weeks (80.7639*sine), 96 weeks (76.0312*cosine), and 106 weeks (71.7396*cosine).

EMITF (Elbit Imaging Ltd.) has an average price of 608.03 (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 11/27/1996 to 3/13/2017 for EMITF (Elbit Imaging Ltd.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0608.0325   0 
1-698.0212 -99.19811 (1*2π)/10591,059 weeks
2405.0032 373.6013 (2*2π)/1059530 weeks
3-221.4958 -135.7761 (3*2π)/1059353 weeks
494.22491 116.4174 (4*2π)/1059265 weeks
5-112.826 -73.42143 (5*2π)/1059212 weeks
698.91756 119.9001 (6*2π)/1059177 weeks
7-37.23929 -141.1809 (7*2π)/1059151 weeks
8-32.96846 157.4344 (8*2π)/1059132 weeks
956.88214 -87.45672 (9*2π)/1059118 weeks
10-71.73956 53.92202 (10*2π)/1059106 weeks
1176.03124 -7.81101 (11*2π)/105996 weeks
12-37.91213 -19.07861 (12*2π)/105988 weeks
13-1.33007 80.76392 (13*2π)/105981 weeks
1427.67845 -50.12049 (14*2π)/105976 weeks
15-64.14207 29.94119 (15*2π)/105971 weeks
1633.69982 6.96733 (16*2π)/105966 weeks
17-9.29626 -21.55463 (17*2π)/105962 weeks
18-6.65401 22.46596 (18*2π)/105959 weeks
198.19614 -22.38049 (19*2π)/105956 weeks
20-8.38838 40.36658 (20*2π)/105953 weeks
2111.23899 -29.39751 (21*2π)/105950 weeks
22-20.86594 14.28436 (22*2π)/105948 weeks
235.26312 8.29535 (23*2π)/105946 weeks
247.72333 -18.21445 (24*2π)/105944 weeks
25-16.57698 13.68071 (25*2π)/105942 weeks
2625.59844 -4.6566 (26*2π)/105941 weeks
27-23.32187 1.48389 (27*2π)/105939 weeks
2824.21383 2.25367 (28*2π)/105938 weeks
29-17.99533 -3.6623 (29*2π)/105937 weeks
3013.13914 11.16709 (30*2π)/105935 weeks
311.37466 -11.81374 (31*2π)/105934 weeks
3213.28378 27.81839 (32*2π)/105933 weeks
33-8.26856 -14.67292 (33*2π)/105932 weeks
34-17.86357 24.22 (34*2π)/105931 weeks
3522.77421 -11.23973 (35*2π)/105930 weeks
36-29.90602 -4.40799 (36*2π)/105929 weeks
3727.40988 15.89713 (37*2π)/105929 weeks
38-14.84143 -10.68083 (38*2π)/105928 weeks
399.06049 12.12638 (39*2π)/105927 weeks
40-14.50538 -7.19008 (40*2π)/105926 weeks
4110.19168 12.20446 (41*2π)/105926 weeks
42-7.08305 -16.3534 (42*2π)/105925 weeks
434.34024 15.51955 (43*2π)/105925 weeks
445.94441 -8.57793 (44*2π)/105924 weeks
45-9.07261 9.972 (45*2π)/105924 weeks
467.72631 -1.81712 (46*2π)/105923 weeks
47-4.63848 -.9656 (47*2π)/105923 weeks
484.66065 6.40288 (48*2π)/105922 weeks
49-4.11449 1.60122 (49*2π)/105922 weeks
501.14414 3.3942 (50*2π)/105921 weeks
51-4.54275 -5.62642 (51*2π)/105921 weeks
522.90441 12.27242 (52*2π)/105920 weeks
53-2.75689 -13.22659 (53*2π)/105920 weeks
54.56995 10.70842 (54*2π)/105920 weeks
551.3816 -4.03478 (55*2π)/105919 weeks
56-.29912 2.92134 (56*2π)/105919 weeks
57-1.33885 2.92148 (57*2π)/105919 weeks
582.47673 -1.2947 (58*2π)/105918 weeks
59-3.62379 4.3215 (59*2π)/105918 weeks
60-.58296 -1.77532 (60*2π)/105918 weeks
61-1.78978 1.78985 (61*2π)/105917 weeks
624.61904 -2.34146 (62*2π)/105917 weeks
63-7.49595 -2.03805 (63*2π)/105917 weeks
647.39195 9.15021 (64*2π)/105917 weeks
651.3199 -5.64431 (65*2π)/105916 weeks
66-8.639 5.27598 (66*2π)/105916 weeks
679.91745 -4.42942 (67*2π)/105916 weeks
68-10.90589 3.21876 (68*2π)/105916 weeks
698.1309 4.20268 (69*2π)/105915 weeks
70-5.61532 -7.10802 (70*2π)/105915 weeks
711.75086 7.90823 (71*2π)/105915 weeks
723.28215 -5.79043 (72*2π)/105915 weeks
73-5.82336 -.10456 (73*2π)/105915 weeks
744.08466 1.28486 (74*2π)/105914 weeks
75-1.1175 3.64014 (75*2π)/105914 weeks
766.09248 -3.90452 (76*2π)/105914 weeks
77-5.66647 .5843 (77*2π)/105914 weeks
784.18699 4.45325 (78*2π)/105914 weeks
79.72443 -1.81215 (79*2π)/105913 weeks
802.36813 4.83311 (80*2π)/105913 weeks
81-8.57752 -4.55966 (81*2π)/105913 weeks
825.67976 9.24176 (82*2π)/105913 weeks
831.47779 -7.68569 (83*2π)/105913 weeks
84-5.10291 .85021 (84*2π)/105913 weeks
853.15932 9.61462 (85*2π)/105912 weeks
86.9612 -11.88299 (86*2π)/105912 weeks
87-5.30716 12.05888 (87*2π)/105912 weeks
886.54531 -11.64201 (88*2π)/105912 weeks
89-8.81253 9.58544 (89*2π)/105912 weeks
9010.18549 -5.39908 (90*2π)/105912 weeks
91-5.63026 .97309 (91*2π)/105912 weeks
927.68242 2.87591 (92*2π)/105912 weeks
93-10.19657 -.67362 (93*2π)/105911 weeks
947.73709 2.64908 (94*2π)/105911 weeks
95-7.78072 -5.60075 (95*2π)/105911 weeks
967.54527 4.83067 (96*2π)/105911 weeks
97-1.02169 -4.3922 (97*2π)/105911 weeks
98-.53355 1.46396 (98*2π)/105911 weeks
994.39346 .97928 (99*2π)/105911 weeks
100-.54586 1.60124 (100*2π)/105911 weeks
101.51259 -.31064 (101*2π)/105910 weeks
1021.31551 3.4621 (102*2π)/105910 weeks
103-.56664 -1.30389 (103*2π)/105910 weeks
104.21664 6.30735 (104*2π)/105910 weeks
105-.43618 -6.38038 (105*2π)/105910 weeks
106-2.82789 5.27619 (106*2π)/105910 weeks
1074.10921 -4.35546 (107*2π)/105910 weeks
108-5.11315 3.24026 (108*2π)/105910 weeks
1095.85987 -1.59841 (109*2π)/105910 weeks
110-1.62654 .59255 (110*2π)/105910 weeks
1112.91684 -1.69058 (111*2π)/105910 weeks
1121.14739 4.02731 (112*2π)/10599 weeks
113-2.6039 -1.38465 (113*2π)/10599 weeks
114.29994 5.55415 (114*2π)/10599 weeks
1152.42783 -6.13394 (115*2π)/10599 weeks
116-.5487 1.043 (116*2π)/10599 weeks
1172.40587 2.96004 (117*2π)/10599 weeks
1183.39534 1.22135 (118*2π)/10599 weeks
119-5.42937 -.70831 (119*2π)/10599 weeks
1203.34651 8.00355 (120*2π)/10599 weeks
121-.04663 -7.73035 (121*2π)/10599 weeks
122-3.4322 6.77037 (122*2π)/10599 weeks
1234.7157 -3.84677 (123*2π)/10599 weeks
124-3.67542 4.17406 (124*2π)/10599 weeks
1253.89357 .96001 (125*2π)/10598 weeks
126-6.09904 -1.32534 (126*2π)/10598 weeks
1271.6947 3.445 (127*2π)/10598 weeks
128-.72352 -4.88205 (128*2π)/10598 weeks
129-.05375 2.7922 (129*2π)/10598 weeks
1301.17905 -1.29412 (130*2π)/10598 weeks
131-1.97368 -.97296 (131*2π)/10598 weeks
1322.76325 -.30459 (132*2π)/10598 weeks
133.30289 -1.61975 (133*2π)/10598 weeks
1344.29469 1.07999 (134*2π)/10598 weeks
135-2.6018 4.36996 (135*2π)/10598 weeks
1367.42797 -1.31934 (136*2π)/10598 weeks
137-10.0309 1.65378 (137*2π)/10598 weeks
1388.75793 2.06224 (138*2π)/10598 weeks
139-5.95822 -1.74925 (139*2π)/10598 weeks
1403.98356 4.93027 (140*2π)/10598 weeks
141-3.37467 -4.37154 (141*2π)/10598 weeks
142.97842 4.48001 (142*2π)/10597 weeks
143-.62441 -4.62484 (143*2π)/10597 weeks
1441.21383 4.01286 (144*2π)/10597 weeks
145.82358 -4.09605 (145*2π)/10597 weeks
146.26956 3.19135 (146*2π)/10597 weeks
1471.44509 .42343 (147*2π)/10597 weeks
148.8141 -.96244 (148*2π)/10597 weeks
149-.3254 3.98219 (149*2π)/10597 weeks
150.94651 -.93366 (150*2π)/10597 weeks
151-1.14679 .03276 (151*2π)/10597 weeks
152.14648 1.82368 (152*2π)/10597 weeks
1532.94116 -1.1221 (153*2π)/10597 weeks
154-3.08559 4.01834 (154*2π)/10597 weeks
1553.51182 -1.72898 (155*2π)/10597 weeks
156-4.02339 2.21316 (156*2π)/10597 weeks
1571.78169 -.35011 (157*2π)/10597 weeks
158-.85269 1.95368 (158*2π)/10597 weeks
159.08443 -.88361 (159*2π)/10597 weeks
160-2.23792 -.22318 (160*2π)/10597 weeks
1611.0759 .67418 (161*2π)/10597 weeks
162.52067 -2.93597 (162*2π)/10597 weeks
1631.64234 2.03801 (163*2π)/10596 weeks
164-.94969 .89873 (164*2π)/10596 weeks
1651.70253 .77056 (165*2π)/10596 weeks
166-.80029 -.62383 (166*2π)/10596 weeks
167.43192 .66497 (167*2π)/10596 weeks
168-.14806 -.05556 (168*2π)/10596 weeks
169.24127 3.13761 (169*2π)/10596 weeks
1701.64702 -3.66332 (170*2π)/10596 weeks
171-2.3579 4.81603 (171*2π)/10596 weeks
1722.77425 -3.08659 (172*2π)/10596 weeks
173-4.53989 4.06639 (173*2π)/10596 weeks
1742.88033 -2.42331 (174*2π)/10596 weeks
175-2.49142 -1.15516 (175*2π)/10596 weeks
1762.38041 2.85906 (176*2π)/10596 weeks
177-1.14047 -2.52661 (177*2π)/10596 weeks
178-.4553 .97534 (178*2π)/10596 weeks
179-.73881 -2.15905 (179*2π)/10596 weeks
1802.53011 .14095 (180*2π)/10596 weeks
1812.23853 -1.84898 (181*2π)/10596 weeks
182.61766 1.20095 (182*2π)/10596 weeks
183-.25818 2.58569 (183*2π)/10596 weeks
1844.62958 -.56866 (184*2π)/10596 weeks
185-3.78308 .7361 (185*2π)/10596 weeks
1863.28161 1.69659 (186*2π)/10596 weeks
187-1.55611 .16085 (187*2π)/10596 weeks
188.61882 2.70271 (188*2π)/10596 weeks
189-.17643 -1.94326 (189*2π)/10596 weeks
190-2.09189 2.80974 (190*2π)/10596 weeks
1913.20908 -4.21095 (191*2π)/10596 weeks
192-2.0073 2.33914 (192*2π)/10596 weeks
1933.79961 .8235 (193*2π)/10595 weeks
194-1.79903 .24187 (194*2π)/10595 weeks
1951.89269 1.60868 (195*2π)/10595 weeks
196-1.80401 .51895 (196*2π)/10595 weeks
1971.30968 1.49715 (197*2π)/10595 weeks
198-2.10345 -1.33642 (198*2π)/10595 weeks
199.4785 .65852 (199*2π)/10595 weeks
200.50219 -.57399 (200*2π)/10595 weeks
2011.44307 .15615 (201*2π)/10595 weeks
202-1.12999 -.26741 (202*2π)/10595 weeks
2032.55109 2.85782 (203*2π)/10595 weeks
204-.22409 -1.42291 (204*2π)/10595 weeks
205-.43002 1.49926 (205*2π)/10595 weeks
206.10824 .28619 (206*2π)/10595 weeks
207.11983 .82983 (207*2π)/10595 weeks
208.32884 1.33014 (208*2π)/10595 weeks
209.75479 .67744 (209*2π)/10595 weeks
210-4.12953 -1.18363 (210*2π)/10595 weeks
2112.55275 2.41836 (211*2π)/10595 weeks
212-.52589 -5.3414 (212*2π)/10595 weeks
213.27557 4.43551 (213*2π)/10595 weeks
2141.78173 -2.04101 (214*2π)/10595 weeks
215-.84665 2.85382 (215*2π)/10595 weeks
2162.50883 -2.19212 (216*2π)/10595 weeks
217-3.34379 2.32944 (217*2π)/10595 weeks
2183.25466 -.12371 (218*2π)/10595 weeks
219-2.54287 -.09624 (219*2π)/10595 weeks
2202.83024 1.56028 (220*2π)/10595 weeks
221-1.34351 -1.23272 (221*2π)/10595 weeks
222-1.90207 3.39341 (222*2π)/10595 weeks
2233.95929 -3.05938 (223*2π)/10595 weeks
224-3.86357 .39377 (224*2π)/10595 weeks
2253.42071 2.03855 (225*2π)/10595 weeks
226-1.26302 -1.50798 (226*2π)/10595 weeks
227-.3906 2.35823 (227*2π)/10595 weeks
2281.02681 -1.34929 (228*2π)/10595 weeks
229-.83507 .70161 (229*2π)/10595 weeks
2302.23436 .26924 (230*2π)/10595 weeks
231-1.27656 -1.06652 (231*2π)/10595 weeks
232.18176 3.26095 (232*2π)/10595 weeks
233-.1526 -1.34721 (233*2π)/10595 weeks
234.61942 1.58403 (234*2π)/10595 weeks
235.5496 -2.60621 (235*2π)/10595 weeks
236-1.40908 2.42149 (236*2π)/10594 weeks
2372.8693 -.09 (237*2π)/10594 weeks
238-2.86641 .88033 (238*2π)/10594 weeks
2392.66011 .29918 (239*2π)/10594 weeks
240-2.3595 -1.12552 (240*2π)/10594 weeks
2412.09959 2.61303 (241*2π)/10594 weeks
242.02229 -1.13416 (242*2π)/10594 weeks
243-1.77022 1.37793 (243*2π)/10594 weeks
2441.2667 1.61354 (244*2π)/10594 weeks
245-2.78054 -3.34535 (245*2π)/10594 weeks
246.94326 3.1669 (246*2π)/10594 weeks
2471.16983 -5.06437 (247*2π)/10594 weeks
248-.58411 5.2957 (248*2π)/10594 weeks
2492.4545 -3.39754 (249*2π)/10594 weeks
250-3.28788 2.86362 (250*2π)/10594 weeks
2512.84819 -2.60251 (251*2π)/10594 weeks
252-2.81769 2.2484 (252*2π)/10594 weeks
2534.41782 -1.53018 (253*2π)/10594 weeks
254-3.02246 1.51716 (254*2π)/10594 weeks
2553.50818 .02924 (255*2π)/10594 weeks
256-3.49563 .17112 (256*2π)/10594 weeks
2573.31028 1.27742 (257*2π)/10594 weeks
258-3.36807 -1.15383 (258*2π)/10594 weeks
2591.98204 2.72205 (259*2π)/10594 weeks
260.63589 -2.6601 (260*2π)/10594 weeks
261-1.82071 1.79857 (261*2π)/10594 weeks
262.09955 .53229 (262*2π)/10594 weeks
263.06812 -1.2307 (263*2π)/10594 weeks
264-1.55872 .36811 (264*2π)/10594 weeks
2653.20918 -1.64267 (265*2π)/10594 weeks
266-1.9714 .67902 (266*2π)/10594 weeks
2671.91183 .53517 (267*2π)/10594 weeks
268-.22021 -.10665 (268*2π)/10594 weeks
269.75334 -.55585 (269*2π)/10594 weeks
270-2.05397 2.10456 (270*2π)/10594 weeks
2713.46726 -2.735 (271*2π)/10594 weeks
272-2.93843 1.04015 (272*2π)/10594 weeks
2734.22082 1.09157 (273*2π)/10594 weeks
274-1.47928 -.60608 (274*2π)/10594 weeks
275-.48425 1.7259 (275*2π)/10594 weeks
276.58492 -.88289 (276*2π)/10594 weeks
277-1.86159 -.28688 (277*2π)/10594 weeks
2783.84764 1.00078 (278*2π)/10594 weeks
279-1.2811 -1.13396 (279*2π)/10594 weeks
280-.11732 1.08452 (280*2π)/10594 weeks
281.15673 1.49561 (281*2π)/10594 weeks
282-.17317 -1.89806 (282*2π)/10594 weeks
283-.24318 .5041 (283*2π)/10594 weeks
2841.81177 -1.15697 (284*2π)/10594 weeks
2851.04863 1.97604 (285*2π)/10594 weeks
286-.38282 -.3191 (286*2π)/10594 weeks
287-.70763 2.46551 (287*2π)/10594 weeks
288-.03052 -1.23493 (288*2π)/10594 weeks
289-.73571 -.1682 (289*2π)/10594 weeks
290.93125 -.63224 (290*2π)/10594 weeks
291.36896 -.2849 (291*2π)/10594 weeks
292.74268 1.89936 (292*2π)/10594 weeks
293-.13839 -1.93532 (293*2π)/10594 weeks
294-.83163 2.63323 (294*2π)/10594 weeks
2952.97209 -2.28532 (295*2π)/10594 weeks
296-3.14792 .96477 (296*2π)/10594 weeks
2972.70574 .7747 (297*2π)/10594 weeks
298-.86667 -.84625 (298*2π)/10594 weeks
2991.09621 .79146 (299*2π)/10594 weeks
300-.1242 -1.30399 (300*2π)/10594 weeks
301.8891 2.99789 (301*2π)/10594 weeks
302-.05724 -2.85007 (302*2π)/10594 weeks
303.50117 3.37669 (303*2π)/10593 weeks
304.97795 -1.2404 (304*2π)/10593 weeks
305-1.58549 .46631 (305*2π)/10593 weeks
3061.42803 1.49537 (306*2π)/10593 weeks
307-.82277 -1.57522 (307*2π)/10593 weeks
3081.12259 1.95054 (308*2π)/10593 weeks
309.17529 .00904 (309*2π)/10593 weeks
310-.16921 .64104 (310*2π)/10593 weeks
311-1.72716 .25403 (311*2π)/10593 weeks
312.71696 .8104 (312*2π)/10593 weeks
313.01438 -.79321 (313*2π)/10593 weeks
314-1.44231 -.06344 (314*2π)/10593 weeks
315.44193 .1777 (315*2π)/10593 weeks
316.60235 -1.16317 (316*2π)/10593 weeks
317-.58719 .03997 (317*2π)/10593 weeks
318.68623 .15509 (318*2π)/10593 weeks
319.96785 -1.22629 (319*2π)/10593 weeks
320-.02473 2.15949 (320*2π)/10593 weeks
3211.12597 -1.61886 (321*2π)/10593 weeks
322-1.70114 1.44775 (322*2π)/10593 weeks
3231.83929 .28149 (323*2π)/10593 weeks
324-.93344 -1.14019 (324*2π)/10593 weeks
325.55013 1.29374 (325*2π)/10593 weeks
326-.69055 -1.76279 (326*2π)/10593 weeks
327.51392 2.59676 (327*2π)/10593 weeks
3281.64283 -3.86197 (328*2π)/10593 weeks
329-1.67969 3.54493 (329*2π)/10593 weeks
3302.24651 -1.77655 (330*2π)/10593 weeks
331-2.22933 .06131 (331*2π)/10593 weeks
3322.44033 -.0298 (332*2π)/10593 weeks
333-.1501 -.57039 (333*2π)/10593 weeks
3341.37564 2.78268 (334*2π)/10593 weeks
335-.36307 -2.99353 (335*2π)/10593 weeks
336-.75328 2.84684 (336*2π)/10593 weeks
3372.89032 -2.52294 (337*2π)/10593 weeks
338-2.22787 2.55109 (338*2π)/10593 weeks
3393.71941 .28177 (339*2π)/10593 weeks
340-2.66515 -.19617 (340*2π)/10593 weeks
3411.12774 2.96264 (341*2π)/10593 weeks
342-1.79464 -2.40702 (342*2π)/10593 weeks
343.40182 2.02348 (343*2π)/10593 weeks
344-.43788 -3.36413 (344*2π)/10593 weeks
345.208 2.60576 (345*2π)/10593 weeks
3461.42312 -2.07121 (346*2π)/10593 weeks
347-1.08853 1.41627 (347*2π)/10593 weeks
3482.22244 .01597 (348*2π)/10593 weeks
349-2.55005 -.61047 (349*2π)/10593 weeks
3502.75592 .09521 (350*2π)/10593 weeks
351-2.34682 .14494 (351*2π)/10593 weeks
3522.85982 -.06845 (352*2π)/10593 weeks
353-1.4456 .00685 (353*2π)/10593 weeks
3541.69817 1.17196 (354*2π)/10593 weeks
355-.24786 -2.31067 (355*2π)/10593 weeks
356-.36127 2.32088 (356*2π)/10593 weeks
3571.42759 -1.37833 (357*2π)/10593 weeks
358-.16516 2.26613 (358*2π)/10593 weeks
359.64072 -.9729 (359*2π)/10593 weeks
360-.82117 .79981 (360*2π)/10593 weeks
361.23602 .07135 (361*2π)/10593 weeks
362.18437 -1.52324 (362*2π)/10593 weeks
363-1.01806 1.72282 (363*2π)/10593 weeks
3642.99401 -1.00942 (364*2π)/10593 weeks
365-1.64666 .09968 (365*2π)/10593 weeks
3661.02392 1.00713 (366*2π)/10593 weeks
367-.2757 -.86996 (367*2π)/10593 weeks
368-.45453 .73306 (368*2π)/10593 weeks
3692.73372 -2.25421 (369*2π)/10593 weeks
370-1.66969 1.94649 (370*2π)/10593 weeks
3714.02753 .17185 (371*2π)/10593 weeks
372-3.64414 1.37608 (372*2π)/10593 weeks
3733.80557 1.05982 (373*2π)/10593 weeks
374-3.71288 -2.45321 (374*2π)/10593 weeks
3751.72877 3.98745 (375*2π)/10593 weeks
376.84944 -4.20331 (376*2π)/10593 weeks
377-2.32816 3.89892 (377*2π)/10593 weeks
3782.71746 -1.04321 (378*2π)/10593 weeks
379-2.29205 -1.34307 (379*2π)/10593 weeks
3802.6656 2.05772 (380*2π)/10593 weeks
381-2.06201 -1.57846 (381*2π)/10593 weeks
3821.55938 1.28916 (382*2π)/10593 weeks
383-.99624 -1.06988 (383*2π)/10593 weeks
3841.21337 1.43246 (384*2π)/10593 weeks
385-.05914 -1.28478 (385*2π)/10593 weeks
386-.0676 1.29727 (386*2π)/10593 weeks
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