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Fourier Analysis of DCM (NTT DOCOMO)


DCM (NTT DOCOMO) appears to have interesting cyclic behaviour every 96 weeks (25.5202*cosine), 64 weeks (25.1085*cosine), and 2 weeks (25.1066*cosine).

DCM (NTT DOCOMO) has an average price of 28.71 (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 1/3/2000 to 4/23/2018 for DCM (NTT DOCOMO), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
028.71104   0 
132.38336 -1.47148 (1*2π)/956956 weeks
229.24294 -.10691 (2*2π)/956478 weeks
327.69403 -.63815 (3*2π)/956319 weeks
426.41107 -.14497 (4*2π)/956239 weeks
526.34452 .82232 (5*2π)/956191 weeks
625.58887 .54622 (6*2π)/956159 weeks
725.12859 .47831 (7*2π)/956137 weeks
825.57623 -.0942 (8*2π)/956120 weeks
925.46533 -.58015 (9*2π)/956106 weeks
1025.52018 -.78017 (10*2π)/95696 weeks
1125.05525 -.84197 (11*2π)/95687 weeks
1224.91931 -1.50601 (12*2π)/95680 weeks
1324.97025 -1.75614 (13*2π)/95674 weeks
1424.94947 -2.04411 (14*2π)/95668 weeks
1525.10848 -1.98212 (15*2π)/95664 weeks
1624.97988 -1.90721 (16*2π)/95660 weeks
1724.74382 -2.0213 (17*2π)/95656 weeks
1824.95697 -2.34854 (18*2π)/95653 weeks
1924.95786 -2.55947 (19*2π)/95650 weeks
2024.96358 -3.18086 (20*2π)/95648 weeks
2124.81605 -3.27559 (21*2π)/95646 weeks
2224.84683 -3.541 (22*2π)/95643 weeks
2324.92419 -3.36988 (23*2π)/95642 weeks
2424.73631 -3.64473 (24*2π)/95640 weeks
2524.97191 -3.68055 (25*2π)/95638 weeks
2624.78093 -3.80136 (26*2π)/95637 weeks
2724.54727 -3.8693 (27*2π)/95635 weeks
2824.56798 -4.00548 (28*2π)/95634 weeks
2924.6123 -4.14599 (29*2π)/95633 weeks
3024.52037 -4.43864 (30*2π)/95632 weeks
3124.36095 -4.369 (31*2π)/95631 weeks
3224.24647 -4.66262 (32*2π)/95630 weeks
3324.09172 -4.77209 (33*2π)/95629 weeks
3423.96803 -5.34546 (34*2π)/95628 weeks
3524.06434 -5.4953 (35*2π)/95627 weeks
3624.00048 -5.8081 (36*2π)/95627 weeks
3723.91418 -5.97956 (37*2π)/95626 weeks
3824.08031 -6.11697 (38*2π)/95625 weeks
3924.23409 -6.23923 (39*2π)/95625 weeks
4024.16123 -6.37089 (40*2π)/95624 weeks
4124.19596 -6.51077 (41*2π)/95623 weeks
4223.99805 -6.69383 (42*2π)/95623 weeks
4324.0249 -6.83052 (43*2π)/95622 weeks
4423.80959 -6.97176 (44*2π)/95622 weeks
4523.81291 -7.1191 (45*2π)/95621 weeks
4623.7493 -7.36 (46*2π)/95621 weeks
4723.74678 -7.5406 (47*2π)/95620 weeks
4823.71216 -7.83362 (48*2π)/95620 weeks
4923.70273 -7.85865 (49*2π)/95620 weeks
5023.54049 -7.96618 (50*2π)/95619 weeks
5123.61271 -8.06659 (51*2π)/95619 weeks
5223.45452 -8.22343 (52*2π)/95618 weeks
5323.42046 -8.46515 (53*2π)/95618 weeks
5423.29458 -8.66427 (54*2π)/95618 weeks
5523.39865 -8.77985 (55*2π)/95617 weeks
5623.16656 -8.91131 (56*2π)/95617 weeks
5723.16565 -9.07972 (57*2π)/95617 weeks
5823.15757 -9.19828 (58*2π)/95616 weeks
5923.13513 -9.41712 (59*2π)/95616 weeks
6023.07319 -9.52211 (60*2π)/95616 weeks
6122.95923 -9.70213 (61*2π)/95616 weeks
6222.82578 -9.94293 (62*2π)/95615 weeks
6322.78105 -10.11211 (63*2π)/95615 weeks
6422.80412 -10.23304 (64*2π)/95615 weeks
6522.70664 -10.32573 (65*2π)/95615 weeks
6622.70589 -10.50098 (66*2π)/95614 weeks
6722.65274 -10.6339 (67*2π)/95614 weeks
6822.57591 -10.78912 (68*2π)/95614 weeks
6922.5541 -10.9481 (69*2π)/95614 weeks
7022.47835 -10.99752 (70*2π)/95614 weeks
7122.35072 -11.12814 (71*2π)/95613 weeks
7222.31592 -11.21791 (72*2π)/95613 weeks
7322.27286 -11.43951 (73*2π)/95613 weeks
7422.19672 -11.60816 (74*2π)/95613 weeks
7522.03115 -11.76636 (75*2π)/95613 weeks
7621.93714 -11.99135 (76*2π)/95613 weeks
7721.83578 -12.11484 (77*2π)/95612 weeks
7821.80368 -12.18356 (78*2π)/95612 weeks
7921.77076 -12.30487 (79*2π)/95612 weeks
8021.6741 -12.48016 (80*2π)/95612 weeks
8121.67734 -12.708 (81*2π)/95612 weeks
8221.66544 -12.83026 (82*2π)/95612 weeks
8321.5785 -12.91449 (83*2π)/95612 weeks
8421.46827 -12.96023 (84*2π)/95611 weeks
8521.29775 -13.114 (85*2π)/95611 weeks
8621.13033 -13.1879 (86*2π)/95611 weeks
8720.99704 -13.33863 (87*2π)/95611 weeks
8820.86556 -13.53169 (88*2π)/95611 weeks
8920.80376 -13.72672 (89*2π)/95611 weeks
9020.70011 -13.91696 (90*2π)/95611 weeks
9120.66812 -14.02462 (91*2π)/95611 weeks
9220.57983 -14.1752 (92*2π)/95610 weeks
9320.40562 -14.29053 (93*2π)/95610 weeks
9420.36728 -14.46802 (94*2π)/95610 weeks
9520.316 -14.56072 (95*2π)/95610 weeks
9620.19458 -14.74587 (96*2π)/95610 weeks
9720.06412 -14.90548 (97*2π)/95610 weeks
9820.06179 -15.0413 (98*2π)/95610 weeks
9919.95344 -15.09382 (99*2π)/95610 weeks
10019.92363 -15.24227 (100*2π)/95610 weeks
10119.77578 -15.33547 (101*2π)/9569 weeks
10219.72003 -15.52034 (102*2π)/9569 weeks
10319.603 -15.62189 (103*2π)/9569 weeks
10419.42535 -15.69538 (104*2π)/9569 weeks
10519.33746 -15.81478 (105*2π)/9569 weeks
10619.26205 -15.92414 (106*2π)/9569 weeks
10719.171 -16.03973 (107*2π)/9569 weeks
10819.00921 -16.14696 (108*2π)/9569 weeks
10918.89648 -16.29604 (109*2π)/9569 weeks
11018.78277 -16.45165 (110*2π)/9569 weeks
11118.6503 -16.62313 (111*2π)/9569 weeks
11218.53156 -16.70423 (112*2π)/9569 weeks
11318.4246 -16.81697 (113*2π)/9568 weeks
11418.32402 -16.95301 (114*2π)/9568 weeks
11518.26945 -17.07863 (115*2π)/9568 weeks
11618.16391 -17.17941 (116*2π)/9568 weeks
11718.03393 -17.29269 (117*2π)/9568 weeks
11817.90238 -17.42706 (118*2π)/9568 weeks
11917.78478 -17.50105 (119*2π)/9568 weeks
12017.64334 -17.65559 (120*2π)/9568 weeks
12117.54596 -17.73138 (121*2π)/9568 weeks
12217.44407 -17.88579 (122*2π)/9568 weeks
12317.29774 -18.0275 (123*2π)/9568 weeks
12417.19588 -18.15489 (124*2π)/9568 weeks
12517.10502 -18.22788 (125*2π)/9568 weeks
12616.94333 -18.3505 (126*2π)/9568 weeks
12716.84402 -18.39935 (127*2π)/9568 weeks
12816.65586 -18.53652 (128*2π)/9567 weeks
12916.52802 -18.65063 (129*2π)/9567 weeks
13016.36542 -18.80458 (130*2π)/9567 weeks
13116.31957 -18.94282 (131*2π)/9567 weeks
13216.2258 -19.06012 (132*2π)/9567 weeks
13316.11131 -19.19845 (133*2π)/9567 weeks
13415.92656 -19.27699 (134*2π)/9567 weeks
13515.84833 -19.37103 (135*2π)/9567 weeks
13615.71002 -19.49165 (136*2π)/9567 weeks
13715.61988 -19.56324 (137*2π)/9567 weeks
13815.45068 -19.60609 (138*2π)/9567 weeks
13915.31991 -19.726 (139*2π)/9567 weeks
14015.18529 -19.84715 (140*2π)/9567 weeks
14115.09395 -19.9689 (141*2π)/9567 weeks
14214.92311 -20.02999 (142*2π)/9567 weeks
14314.7463 -20.1469 (143*2π)/9567 weeks
14414.63687 -20.26671 (144*2π)/9567 weeks
14514.51755 -20.35151 (145*2π)/9567 weeks
14614.41648 -20.48627 (146*2π)/9567 weeks
14714.29233 -20.51194 (147*2π)/9567 weeks
14814.07501 -20.60667 (148*2π)/9566 weeks
14913.94977 -20.75616 (149*2π)/9566 weeks
15013.80145 -20.85465 (150*2π)/9566 weeks
15113.6911 -20.96437 (151*2π)/9566 weeks
15213.57243 -21.02389 (152*2π)/9566 weeks
15313.38563 -21.13148 (153*2π)/9566 weeks
15413.28051 -21.23066 (154*2π)/9566 weeks
15513.18289 -21.30951 (155*2π)/9566 weeks
15613.04531 -21.38818 (156*2π)/9566 weeks
15712.91814 -21.48417 (157*2π)/9566 weeks
15812.77727 -21.55966 (158*2π)/9566 weeks
15912.63195 -21.63033 (159*2π)/9566 weeks
16012.51524 -21.68913 (160*2π)/9566 weeks
16112.38783 -21.74475 (161*2π)/9566 weeks
16212.25578 -21.84242 (162*2π)/9566 weeks
16312.06889 -21.90899 (163*2π)/9566 weeks
16411.92436 -22.00026 (164*2π)/9566 weeks
16511.73862 -22.05081 (165*2π)/9566 weeks
16611.61874 -22.12263 (166*2π)/9566 weeks
16711.46871 -22.20558 (167*2π)/9566 weeks
16811.3489 -22.29557 (168*2π)/9566 weeks
16911.17694 -22.36364 (169*2π)/9566 weeks
17011.07168 -22.44053 (170*2π)/9566 weeks
17110.89733 -22.48669 (171*2π)/9566 weeks
17210.73997 -22.58949 (172*2π)/9566 weeks
17310.59806 -22.66271 (173*2π)/9566 weeks
17410.43188 -22.7728 (174*2π)/9565 weeks
17510.29356 -22.82919 (175*2π)/9565 weeks
17610.13102 -22.86582 (176*2π)/9565 weeks
1779.99125 -22.89553 (177*2π)/9565 weeks
1789.83469 -22.93987 (178*2π)/9565 weeks
1799.68188 -23.00248 (179*2π)/9565 weeks
1809.5418 -23.10989 (180*2π)/9565 weeks
1819.38738 -23.1729 (181*2π)/9565 weeks
1829.2337 -23.24 (182*2π)/9565 weeks
1839.106 -23.29 (183*2π)/9565 weeks
1848.8832 -23.3287 (184*2π)/9565 weeks
1858.7222 -23.39924 (185*2π)/9565 weeks
1868.56255 -23.46607 (186*2π)/9565 weeks
1878.4085 -23.53145 (187*2π)/9565 weeks
1888.25629 -23.58415 (188*2π)/9565 weeks
1898.0823 -23.68921 (189*2π)/9565 weeks
1907.91696 -23.74738 (190*2π)/9565 weeks
1917.80045 -23.78308 (191*2π)/9565 weeks
1927.68468 -23.81748 (192*2π)/9565 weeks
1937.5354 -23.83885 (193*2π)/9565 weeks
1947.38707 -23.91389 (194*2π)/9565 weeks
1957.20752 -23.94581 (195*2π)/9565 weeks
1967.03145 -23.98191 (196*2π)/9565 weeks
1976.85713 -24.06351 (197*2π)/9565 weeks
1986.7081 -24.1003 (198*2π)/9565 weeks
1996.53905 -24.1393 (199*2π)/9565 weeks
2006.35145 -24.18019 (200*2π)/9565 weeks
2016.21101 -24.21463 (201*2π)/9565 weeks
2026.02411 -24.24616 (202*2π)/9565 weeks
2035.86042 -24.32179 (203*2π)/9565 weeks
2045.72133 -24.35823 (204*2π)/9565 weeks
2055.56628 -24.43014 (205*2π)/9565 weeks
2065.43178 -24.46922 (206*2π)/9565 weeks
2075.25284 -24.50398 (207*2π)/9565 weeks
2085.09604 -24.55086 (208*2π)/9565 weeks
2094.94732 -24.58861 (209*2π)/9565 weeks
2104.80725 -24.63154 (210*2π)/9565 weeks
2114.65295 -24.67627 (211*2π)/9565 weeks
2124.5323 -24.7066 (212*2π)/9565 weeks
2134.36796 -24.69528 (213*2π)/9564 weeks
2144.20683 -24.71649 (214*2π)/9564 weeks
2154.01101 -24.74391 (215*2π)/9564 weeks
2163.85446 -24.76638 (216*2π)/9564 weeks
2173.70066 -24.78847 (217*2π)/9564 weeks
2183.55618 -24.80941 (218*2π)/9564 weeks
2193.39742 -24.8386 (219*2π)/9564 weeks
2203.24892 -24.86282 (220*2π)/9564 weeks
2213.07326 -24.85831 (221*2π)/9564 weeks
2222.91532 -24.87359 (222*2π)/9564 weeks
2232.72542 -24.86698 (223*2π)/9564 weeks
2242.52813 -24.89946 (224*2π)/9564 weeks
2252.35741 -24.87488 (225*2π)/9564 weeks
2262.17249 -24.92111 (226*2π)/9564 weeks
2272.03832 -24.90875 (227*2π)/9564 weeks
2281.87659 -24.96391 (228*2π)/9564 weeks
2291.76578 -24.97313 (229*2π)/9564 weeks
2301.55189 -25.00502 (230*2π)/9564 weeks
2311.37049 -24.98436 (231*2π)/9564 weeks
2321.20402 -25.04518 (232*2π)/9564 weeks
2331.06246 -25.06075 (233*2π)/9564 weeks
234.89978 -25.07046 (234*2π)/9564 weeks
235.76053 -25.07257 (235*2π)/9564 weeks
236.56336 -25.06522 (236*2π)/9564 weeks
237.40687 -25.05769 (237*2π)/9564 weeks
238.24764 -25.04968 (238*2π)/9564 weeks
239.10121 -25.02368 (239*2π)/9564 weeks
240-.04744 -25.03357 (240*2π)/9564 weeks
241-.19113 -25.03955 (241*2π)/9564 weeks
242-.37622 -25.0343 (242*2π)/9564 weeks
243-.54667 -25.01293 (243*2π)/9564 weeks
244-.74714 -25.01982 (244*2π)/9564 weeks
245-.92003 -25.00412 (245*2π)/9564 weeks
246-1.05911 -24.98788 (246*2π)/9564 weeks
247-1.23956 -24.96112 (247*2π)/9564 weeks
248-1.41222 -24.9483 (248*2π)/9564 weeks
249-1.60658 -24.95054 (249*2π)/9564 weeks
250-1.76411 -24.96628 (250*2π)/9564 weeks
251-1.90838 -24.96557 (251*2π)/9564 weeks
252-2.06247 -24.98781 (252*2π)/9564 weeks
253-2.22898 -24.95159 (253*2π)/9564 weeks
254-2.37165 -24.92421 (254*2π)/9564 weeks
255-2.53305 -24.90803 (255*2π)/9564 weeks
256-2.72723 -24.89348 (256*2π)/9564 weeks
257-2.89624 -24.87664 (257*2π)/9564 weeks
258-3.03523 -24.86408 (258*2π)/9564 weeks
259-3.19642 -24.82316 (259*2π)/9564 weeks
260-3.35853 -24.81994 (260*2π)/9564 weeks
261-3.51095 -24.81148 (261*2π)/9564 weeks
262-3.68222 -24.79104 (262*2π)/9564 weeks
263-3.84931 -24.73468 (263*2π)/9564 weeks
264-4.0514 -24.72141 (264*2π)/9564 weeks
265-4.17524 -24.68928 (265*2π)/9564 weeks
266-4.35529 -24.65176 (266*2π)/9564 weeks
267-4.48912 -24.6273 (267*2π)/9564 weeks
268-4.64171 -24.6137 (268*2π)/9564 weeks
269-4.78766 -24.56453 (269*2π)/9564 weeks
270-4.99855 -24.54793 (270*2π)/9564 weeks
271-5.12807 -24.53496 (271*2π)/9564 weeks
272-5.30058 -24.48263 (272*2π)/9564 weeks
273-5.47289 -24.45007 (273*2π)/9564 weeks
274-5.65382 -24.39285 (274*2π)/9563 weeks
275-5.79838 -24.37636 (275*2π)/9563 weeks
276-5.92798 -24.33393 (276*2π)/9563 weeks
277-6.05525 -24.3027 (277*2π)/9563 weeks
278-6.2021 -24.23107 (278*2π)/9563 weeks
279-6.38906 -24.19549 (279*2π)/9563 weeks
280-6.57669 -24.12575 (280*2π)/9563 weeks
281-6.73034 -24.09077 (281*2π)/9563 weeks
282-6.91566 -24.0276 (282*2π)/9563 weeks
283-7.08026 -24.01177 (283*2π)/9563 weeks
284-7.24057 -23.96059 (284*2π)/9563 weeks
285-7.39263 -23.92096 (285*2π)/9563 weeks
286-7.53514 -23.84405 (286*2π)/9563 weeks
287-7.71403 -23.81966 (287*2π)/9563 weeks
288-7.89493 -23.74648 (288*2π)/9563 weeks
289-8.03122 -23.71588 (289*2π)/9563 weeks
290-8.19834 -23.64314 (290*2π)/9563 weeks
291-8.37166 -23.61454 (291*2π)/9563 weeks
292-8.51232 -23.58628 (292*2π)/9563 weeks
293-8.64591 -23.5151 (293*2π)/9563 weeks
294-8.78112 -23.44095 (294*2π)/9563 weeks
295-8.95472 -23.40043 (295*2π)/9563 weeks
296-9.0847 -23.34777 (296*2π)/9563 weeks
297-9.24229 -23.27078 (297*2π)/9563 weeks
298-9.40745 -23.22114 (298*2π)/9563 weeks
299-9.59632 -23.14125 (299*2π)/9563 weeks
300-9.72524 -23.07169 (300*2π)/9563 weeks
301-9.87791 -23.03548 (301*2π)/9563 weeks
302-9.99291 -22.96146 (302*2π)/9563 weeks
303-10.15651 -22.86409 (303*2π)/9563 weeks
304-10.30549 -22.78769 (304*2π)/9563 weeks
305-10.48666 -22.69552 (305*2π)/9563 weeks
306-10.66567 -22.61352 (306*2π)/9563 weeks
307-10.81557 -22.55653 (307*2π)/9563 weeks
308-10.96961 -22.52305 (308*2π)/9563 weeks
309-11.1098 -22.47605 (309*2π)/9563 weeks
310-11.2548 -22.43565 (310*2π)/9563 weeks
311-11.38369 -22.35193 (311*2π)/9563 weeks
312-11.5217 -22.28264 (312*2π)/9563 weeks
313-11.67674 -22.18383 (313*2π)/9563 weeks
314-11.79939 -22.09392 (314*2π)/9563 weeks
315-11.97165 -22.00824 (315*2π)/9563 weeks
316-12.11318 -21.9295 (316*2π)/9563 weeks
317-12.24777 -21.854 (317*2π)/9563 weeks
318-12.38097 -21.76489 (318*2π)/9563 weeks
319-12.51938 -21.68989 (319*2π)/9563 weeks
320-12.67061 -21.59684 (320*2π)/9563 weeks
321-12.81009 -21.50423 (321*2π)/9563 weeks
322-12.96722 -21.42644 (322*2π)/9563 weeks
323-13.12346 -21.36164 (323*2π)/9563 weeks
324-13.26042 -21.25593 (324*2π)/9563 weeks
325-13.40201 -21.18162 (325*2π)/9563 weeks
326-13.54751 -21.09632 (326*2π)/9563 weeks
327-13.67849 -21.0071 (327*2π)/9563 weeks
328-13.83188 -20.89905 (328*2π)/9563 weeks
329-13.94355 -20.83203 (329*2π)/9563 weeks
330-14.09112 -20.72038 (330*2π)/9563 weeks
331-14.23889 -20.63763 (331*2π)/9563 weeks
332-14.3602 -20.55154 (332*2π)/9563 weeks
333-14.50318 -20.47966 (333*2π)/9563 weeks
334-14.63317 -20.37617 (334*2π)/9563 weeks
335-14.78034 -20.28833 (335*2π)/9563 weeks
336-14.89753 -20.17526 (336*2π)/9563 weeks
337-15.05628 -20.06803 (337*2π)/9563 weeks
338-15.16925 -19.96654 (338*2π)/9563 weeks
339-15.30662 -19.8518 (339*2π)/9563 weeks
340-15.40431 -19.76741 (340*2π)/9563 weeks
341-15.54895 -19.6796 (341*2π)/9563 weeks
342-15.6911 -19.59508 (342*2π)/9563 weeks
343-15.8083 -19.48408 (343*2π)/9563 weeks
344-15.9447 -19.41372 (344*2π)/9563 weeks
345-16.05869 -19.30361 (345*2π)/9563 weeks
346-16.18941 -19.19938 (346*2π)/9563 weeks
347-16.29421 -19.06181 (347*2π)/9563 weeks
348-16.41378 -18.93826 (348*2π)/9563 weeks
349-16.55982 -18.83892 (349*2π)/9563 weeks
350-16.6959 -18.72576 (350*2π)/9563 weeks
351-16.8058 -18.61468 (351*2π)/9563 weeks
352-16.92296 -18.54377 (352*2π)/9563 weeks
353-17.04146 -18.37427 (353*2π)/9563 weeks
354-17.1422 -18.28756 (354*2π)/9563 weeks
355-17.26629 -18.1495 (355*2π)/9563 weeks
356-17.41122 -18.05554 (356*2π)/9563 weeks
357-17.52224 -17.90618 (357*2π)/9563 weeks
358-17.66257 -17.81849 (358*2π)/9563 weeks
359-17.75587 -17.70284 (359*2π)/9563 weeks
360-17.88947 -17.60575 (360*2π)/9563 weeks
361-17.98275 -17.47743 (361*2π)/9563 weeks
362-18.11979 -17.34331 (362*2π)/9563 weeks
363-18.21027 -17.22932 (363*2π)/9563 weeks
364-18.34937 -17.08642 (364*2π)/9563 weeks
365-18.45282 -16.9694 (365*2π)/9563 weeks
366-18.56113 -16.86779 (366*2π)/9563 weeks
367-18.69616 -16.75338 (367*2π)/9563 weeks
368-18.82372 -16.63627 (368*2π)/9563 weeks
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