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Fourier Analysis of MITSY (Mitsui & Co Ltd)


MITSY (Mitsui & Co Ltd) appears to have interesting cyclic behaviour every 28 weeks (6.5957*cosine), 33 weeks (5.685*sine), and 28 weeks (4.0968*sine).

MITSY (Mitsui & Co Ltd) has an average price of 283.48 (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 4/25/2011 to 9/5/2017 for MITSY (Mitsui & Co Ltd), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0283.4814   0 
18.40266 23.61239 (1*2π)/333333 weeks
225.18564 10.76359 (2*2π)/333167 weeks
3-1.66286 -2.72094 (3*2π)/333111 weeks
4.93405 .48239 (4*2π)/33383 weeks
5-5.76376 5.23524 (5*2π)/33367 weeks
66.48339 3.60931 (6*2π)/33356 weeks
71.7529 .09458 (7*2π)/33348 weeks
87.99331 9.35744 (8*2π)/33342 weeks
9-1.65826 3.86885 (9*2π)/33337 weeks
101.29078 5.685 (10*2π)/33333 weeks
11-.38288 2.80341 (11*2π)/33330 weeks
12-6.59574 4.09678 (12*2π)/33328 weeks
13-.59617 -3.29078 (13*2π)/33326 weeks
142.61726 -2.05522 (14*2π)/33324 weeks
15.3176 -3.45433 (15*2π)/33322 weeks
16-.07685 1.19714 (16*2π)/33321 weeks
17-2.01633 1.72301 (17*2π)/33320 weeks
18.57298 -2.24787 (18*2π)/33319 weeks
19-.64065 -.3514 (19*2π)/33318 weeks
20-.15672 -1.35034 (20*2π)/33317 weeks
211.42247 .00322 (21*2π)/33316 weeks
222.1012 -.87658 (22*2π)/33315 weeks
23.72215 1.51234 (23*2π)/33314 weeks
24-.54786 .85307 (24*2π)/33314 weeks
252.73198 -.2858 (25*2π)/33313 weeks
26-.14752 -.41542 (26*2π)/33313 weeks
27.69495 .98052 (27*2π)/33312 weeks
28.45961 1.01204 (28*2π)/33312 weeks
29.31861 .87689 (29*2π)/33311 weeks
30.50744 -.04234 (30*2π)/33311 weeks
311.23664 -.71256 (31*2π)/33311 weeks
321.32788 2.12162 (32*2π)/33310 weeks
331.17859 .37113 (33*2π)/33310 weeks
342.52702 .82567 (34*2π)/33310 weeks
35-.07082 2.03961 (35*2π)/33310 weeks
36-.31766 1.09139 (36*2π)/3339 weeks
37.20136 .78691 (37*2π)/3339 weeks
381.58888 .20817 (38*2π)/3339 weeks
39-2.16634 1.4543 (39*2π)/3339 weeks
40-.13063 1.82817 (40*2π)/3338 weeks
41.05029 1.43749 (41*2π)/3338 weeks
42-.29216 .29386 (42*2π)/3338 weeks
43-.08866 -.28809 (43*2π)/3338 weeks
44-1.21565 -.57773 (44*2π)/3338 weeks
45-.03889 .42441 (45*2π)/3337 weeks
46-.86351 .61062 (46*2π)/3337 weeks
47.3078 -.72012 (47*2π)/3337 weeks
48-.55451 .09219 (48*2π)/3337 weeks
49.33557 -.83389 (49*2π)/3337 weeks
501.91084 -.53 (50*2π)/3337 weeks
51.89615 .27254 (51*2π)/3337 weeks
52.94037 -.21318 (52*2π)/3336 weeks
53-.02281 1.28979 (53*2π)/3336 weeks
541.70853 .27256 (54*2π)/3336 weeks
55.22662 .82445 (55*2π)/3336 weeks
56.16773 .18682 (56*2π)/3336 weeks
57-.66884 1.26265 (57*2π)/3336 weeks
58-.07066 -.16181 (58*2π)/3336 weeks
591.15779 .52261 (59*2π)/3336 weeks
60.67107 -.37983 (60*2π)/3336 weeks
61-.31075 -.5338 (61*2π)/3335 weeks
62-1.1609 .40445 (62*2π)/3335 weeks
63.0275 -.20408 (63*2π)/3335 weeks
641.53579 -.38678 (64*2π)/3335 weeks
65-.09818 .59379 (65*2π)/3335 weeks
66-.10748 1.5154 (66*2π)/3335 weeks
671.20806 -.06475 (67*2π)/3335 weeks
68.3087 -.47082 (68*2π)/3335 weeks
69.82788 -.22017 (69*2π)/3335 weeks
70.01935 1.07962 (70*2π)/3335 weeks
71.4485 -.55179 (71*2π)/3335 weeks
72-.06882 -.20212 (72*2π)/3335 weeks
73.09928 -.40789 (73*2π)/3335 weeks
74.24227 -.35073 (74*2π)/3335 weeks
75.80165 .02445 (75*2π)/3334 weeks
76-.54393 -.34263 (76*2π)/3334 weeks
77.58276 -.65348 (77*2π)/3334 weeks
78.73046 .24869 (78*2π)/3334 weeks
79-.33646 .74755 (79*2π)/3334 weeks
80.20241 -.06681 (80*2π)/3334 weeks
81-.28251 .29406 (81*2π)/3334 weeks
82.72683 .1785 (82*2π)/3334 weeks
83.82811 -.22148 (83*2π)/3334 weeks
84.79506 .5834 (84*2π)/3334 weeks
85.96418 .92725 (85*2π)/3334 weeks
86.09694 .29042 (86*2π)/3334 weeks
87.91783 .15929 (87*2π)/3334 weeks
88-.43603 1.06 (88*2π)/3334 weeks
89-.26319 .87834 (89*2π)/3334 weeks
90-.2758 .05055 (90*2π)/3334 weeks
91-.14217 -.03723 (91*2π)/3334 weeks
92.13724 .07321 (92*2π)/3334 weeks
93.39383 .38819 (93*2π)/3334 weeks
94.56135 -.46061 (94*2π)/3334 weeks
95-.93921 -.0502 (95*2π)/3334 weeks
96.39203 -.03411 (96*2π)/3333 weeks
97.02982 .50395 (97*2π)/3333 weeks
98.28504 .65017 (98*2π)/3333 weeks
99-.33729 .82133 (99*2π)/3333 weeks
100-.23229 -.61693 (100*2π)/3333 weeks
101.89279 -.20403 (101*2π)/3333 weeks
102-.3655 .27744 (102*2π)/3333 weeks
103.38865 -.01173 (103*2π)/3333 weeks
104-.21385 -.27415 (104*2π)/3333 weeks
105.61277 .45261 (105*2π)/3333 weeks
106.38874 .28125 (106*2π)/3333 weeks
107.41773 -.77364 (107*2π)/3333 weeks
108.47996 .59689 (108*2π)/3333 weeks
109.21249 .11393 (109*2π)/3333 weeks
110-.19988 -.00907 (110*2π)/3333 weeks
111-.08174 .13812 (111*2π)/3333 weeks
112-.01629 .25018 (112*2π)/3333 weeks
113.5485 .21665 (113*2π)/3333 weeks
114.72512 -.08574 (114*2π)/3333 weeks
115.61435 .47523 (115*2π)/3333 weeks
116.48968 -.51048 (116*2π)/3333 weeks
117.15988 .57929 (117*2π)/3333 weeks
118.39923 .85627 (118*2π)/3333 weeks
119-.31704 .30864 (119*2π)/3333 weeks
120.14504 .26184 (120*2π)/3333 weeks
121-.44245 .50511 (121*2π)/3333 weeks
122-.31388 .07004 (122*2π)/3333 weeks
123-.68224 -1.12955 (123*2π)/3333 weeks
124.33323 -.36459 (124*2π)/3333 weeks
125.5002 -.0164 (125*2π)/3333 weeks
126.44296 -.25836 (126*2π)/3333 weeks
127.64289 -.51966 (127*2π)/3333 weeks
128.56629 .33414 (128*2π)/3333 weeks
129.23218 .10017 (129*2π)/3333 weeks
130.56281 .32918 (130*2π)/3333 weeks
131.20689 .58776 (131*2π)/3333 weeks
132-.05934 .16089 (132*2π)/3333 weeks
133.20323 -.14362 (133*2π)/3333 weeks
134-.60795 -.02771 (134*2π)/3332 weeks
135.01501 .46957 (135*2π)/3332 weeks
136-.5154 -.25196 (136*2π)/3332 weeks
137-.11327 -.1256 (137*2π)/3332 weeks
138.34467 -.39512 (138*2π)/3332 weeks
139.28233 .05476 (139*2π)/3332 weeks
140.31062 -.02404 (140*2π)/3332 weeks
141-.15834 .72471 (141*2π)/3332 weeks
142.26367 -.18967 (142*2π)/3332 weeks
143-.00875 -.10361 (143*2π)/3332 weeks
144-.53385 .50908 (144*2π)/3332 weeks
145-.25146 .18947 (145*2π)/3332 weeks
146-.12874 -.5608 (146*2π)/3332 weeks
147-.06353 -.48958 (147*2π)/3332 weeks
148-.33427 .46403 (148*2π)/3332 weeks
149.14132 .04585 (149*2π)/3332 weeks
150.89565 -.33798 (150*2π)/3332 weeks
151.6505 -.1139 (151*2π)/3332 weeks
152.4897 .19911 (152*2π)/3332 weeks
153.08935 -.09228 (153*2π)/3332 weeks
154.55441 .55253 (154*2π)/3332 weeks
155.35986 .61714 (155*2π)/3332 weeks
156.09773 -.19666 (156*2π)/3332 weeks
157.39074 .60103 (157*2π)/3332 weeks
158.22653 .59309 (158*2π)/3332 weeks
159.4011 -.09149 (159*2π)/3332 weeks
160-.22148 -.42587 (160*2π)/3332 weeks
161.09578 .63308 (161*2π)/3332 weeks
162-.03853 -.74874 (162*2π)/3332 weeks
163-.10629 -.43024 (163*2π)/3332 weeks
164-.49141 .3252 (164*2π)/3332 weeks
165.07924 -.23955 (165*2π)/3332 weeks
166.35709 -.32905 (166*2π)/3332 weeks
167.35709 .32905 (167*2π)/3332 weeks
168.07924 .23955 (168*2π)/3332 weeks
169-.49141 -.3252 (169*2π)/3332 weeks
170-.10629 .43024 (170*2π)/3332 weeks
171-.03853 .74874 (171*2π)/3332 weeks
172.09578 -.63308 (172*2π)/3332 weeks
173-.22148 .42587 (173*2π)/3332 weeks
174.4011 .09149 (174*2π)/3332 weeks
175.22653 -.59309 (175*2π)/3332 weeks
176.39074 -.60103 (176*2π)/3332 weeks
177.09773 .19666 (177*2π)/3332 weeks
178.35986 -.61714 (178*2π)/3332 weeks
179.55441 -.55253 (179*2π)/3332 weeks
180.08935 .09228 (180*2π)/3332 weeks
181.4897 -.19911 (181*2π)/3332 weeks
182.6505 .1139 (182*2π)/3332 weeks
183.89565 .33798 (183*2π)/3332 weeks
184.14132 -.04585 (184*2π)/3332 weeks
185-.33427 -.46403 (185*2π)/3332 weeks
186-.06353 .48958 (186*2π)/3332 weeks
187-.12874 .5608 (187*2π)/3332 weeks
188-.25146 -.18947 (188*2π)/3332 weeks
189-.53385 -.50908 (189*2π)/3332 weeks
190-.00875 .10361 (190*2π)/3332 weeks
191.26367 .18967 (191*2π)/3332 weeks
192-.15834 -.72471 (192*2π)/3332 weeks
193.31062 .02404 (193*2π)/3332 weeks
194.28233 -.05476 (194*2π)/3332 weeks
195.34467 .39512 (195*2π)/3332 weeks
196-.11327 .1256 (196*2π)/3332 weeks
197-.5154 .25196 (197*2π)/3332 weeks
198.01501 -.46957 (198*2π)/3332 weeks
199-.60795 .02771 (199*2π)/3332 weeks
200.20323 .14362 (200*2π)/3332 weeks
201-.05934 -.16089 (201*2π)/3332 weeks
202.20689 -.58776 (202*2π)/3332 weeks
203.56281 -.32918 (203*2π)/3332 weeks
204.23218 -.10017 (204*2π)/3332 weeks
205.56629 -.33414 (205*2π)/3332 weeks
206.64289 .51966 (206*2π)/3332 weeks
207.44296 .25836 (207*2π)/3332 weeks
208.5002 .0164 (208*2π)/3332 weeks
209.33323 .36459 (209*2π)/3332 weeks
210-.68224 1.12955 (210*2π)/3332 weeks
211-.31388 -.07004 (211*2π)/3332 weeks
212-.44245 -.50511 (212*2π)/3332 weeks
213.14504 -.26184 (213*2π)/3332 weeks
214-.31704 -.30864 (214*2π)/3332 weeks
215.39923 -.85627 (215*2π)/3332 weeks
216.15988 -.57929 (216*2π)/3332 weeks
217.48968 .51048 (217*2π)/3332 weeks
218.61435 -.47523 (218*2π)/3332 weeks
219.72512 .08574 (219*2π)/3332 weeks
220.5485 -.21665 (220*2π)/3332 weeks
221-.01629 -.25018 (221*2π)/3332 weeks
222-.08174 -.13812 (222*2π)/3332 weeks
223-.19988 .00907 (223*2π)/3331 weeks
224.21249 -.11393 (224*2π)/3331 weeks
225.47996 -.59689 (225*2π)/3331 weeks
226.41773 .77364 (226*2π)/3331 weeks
227.38874 -.28125 (227*2π)/3331 weeks
228.61277 -.45261 (228*2π)/3331 weeks
229-.21385 .27415 (229*2π)/3331 weeks
230.38865 .01173 (230*2π)/3331 weeks
231-.3655 -.27744 (231*2π)/3331 weeks
232.89279 .20403 (232*2π)/3331 weeks
233-.23229 .61693 (233*2π)/3331 weeks
234-.33729 -.82133 (234*2π)/3331 weeks
235.28504 -.65017 (235*2π)/3331 weeks
236.02982 -.50395 (236*2π)/3331 weeks
237.39203 .03411 (237*2π)/3331 weeks
238-.93921 .0502 (238*2π)/3331 weeks
239.56135 .46061 (239*2π)/3331 weeks
240.39383 -.38819 (240*2π)/3331 weeks
241.13724 -.07321 (241*2π)/3331 weeks
242-.14217 .03723 (242*2π)/3331 weeks
243-.2758 -.05055 (243*2π)/3331 weeks
244-.26319 -.87834 (244*2π)/3331 weeks
245-.43603 -1.06 (245*2π)/3331 weeks
246.91783 -.15929 (246*2π)/3331 weeks
247.09694 -.29042 (247*2π)/3331 weeks
248.96418 -.92725 (248*2π)/3331 weeks
249.79506 -.5834 (249*2π)/3331 weeks
250.82811 .22148 (250*2π)/3331 weeks
251.72683 -.1785 (251*2π)/3331 weeks
252-.28251 -.29406 (252*2π)/3331 weeks
253.20241 .06681 (253*2π)/3331 weeks
254-.33646 -.74755 (254*2π)/3331 weeks
255.73046 -.24869 (255*2π)/3331 weeks
256.58276 .65348 (256*2π)/3331 weeks
257-.54393 .34263 (257*2π)/3331 weeks
258.80165 -.02445 (258*2π)/3331 weeks
259.24227 .35073 (259*2π)/3331 weeks
260.09928 .40789 (260*2π)/3331 weeks
261-.06882 .20212 (261*2π)/3331 weeks
262.4485 .55179 (262*2π)/3331 weeks
263.01935 -1.07962 (263*2π)/3331 weeks
264.82788 .22017 (264*2π)/3331 weeks
265.3087 .47082 (265*2π)/3331 weeks
2661.20806 .06475 (266*2π)/3331 weeks
267-.10748 -1.5154 (267*2π)/3331 weeks
268-.09818 -.59379 (268*2π)/3331 weeks
2691.53579 .38678 (269*2π)/3331 weeks
270.0275 .20408 (270*2π)/3331 weeks
271-1.1609 -.40445 (271*2π)/3331 weeks
272-.31075 .5338 (272*2π)/3331 weeks
273.67107 .37983 (273*2π)/3331 weeks
2741.15779 -.52261 (274*2π)/3331 weeks
275-.07066 .16181 (275*2π)/3331 weeks
276-.66884 -1.26265 (276*2π)/3331 weeks
277.16773 -.18682 (277*2π)/3331 weeks
278.22662 -.82445 (278*2π)/3331 weeks
2791.70853 -.27256 (279*2π)/3331 weeks
280-.02281 -1.28979 (280*2π)/3331 weeks
281.94037 .21318 (281*2π)/3331 weeks
282.89615 -.27254 (282*2π)/3331 weeks
2831.91084 .53 (283*2π)/3331 weeks
284.33557 .83389 (284*2π)/3331 weeks
285-.55451 -.09219 (285*2π)/3331 weeks
286.3078 .72012 (286*2π)/3331 weeks
287-.86351 -.61062 (287*2π)/3331 weeks
288-.03889 -.42441 (288*2π)/3331 weeks
289-1.21565 .57773 (289*2π)/3331 weeks
290-.08866 .28809 (290*2π)/3331 weeks
291-.29216 -.29386 (291*2π)/3331 weeks
292.05029 -1.43749 (292*2π)/3331 weeks
293-.13063 -1.82817 (293*2π)/3331 weeks
294-2.16634 -1.4543 (294*2π)/3331 weeks
2951.58888 -.20817 (295*2π)/3331 weeks
296.20136 -.78691 (296*2π)/3331 weeks
297-.31766 -1.09139 (297*2π)/3331 weeks
298-.07082 -2.03961 (298*2π)/3331 weeks
2992.52702 -.82567 (299*2π)/3331 weeks
3001.17859 -.37113 (300*2π)/3331 weeks
3011.32788 -2.12162 (301*2π)/3331 weeks
3021.23664 .71256 (302*2π)/3331 weeks
303.50744 .04234 (303*2π)/3331 weeks
304.31861 -.87689 (304*2π)/3331 weeks
305.45961 -1.01204 (305*2π)/3331 weeks
306.69495 -.98052 (306*2π)/3331 weeks
307-.14752 .41542 (307*2π)/3331 weeks
3082.73198 .2858 (308*2π)/3331 weeks
309-.54786 -.85307 (309*2π)/3331 weeks
310.72215 -1.51234 (310*2π)/3331 weeks
3112.1012 .87658 (311*2π)/3331 weeks
3121.42247 -.00322 (312*2π)/3331 weeks
313-.15672 1.35034 (313*2π)/3331 weeks
314-.64065 .3514 (314*2π)/3331 weeks
315.57298 2.24787 (315*2π)/3331 weeks
316-2.01633 -1.72301 (316*2π)/3331 weeks
317-.07685 -1.19714 (317*2π)/3331 weeks
318.3176 3.45433 (318*2π)/3331 weeks
3192.61726 2.05522 (319*2π)/3331 weeks
320-.59617 3.29078 (320*2π)/3331 weeks
321-6.59574 -4.09678 (321*2π)/3331 weeks
322-.38288 -2.80341 (322*2π)/3331 weeks
3231.29078 -5.685 (323*2π)/3331 weeks
324-1.65826 -3.86885 (324*2π)/3331 weeks
3257.99331 -9.35744 (325*2π)/3331 weeks
3261.7529 -.09458 (326*2π)/3331 weeks
3276.48339 -3.60931 (327*2π)/3331 weeks
328-5.76376 -5.23524 (328*2π)/3331 weeks
329.93405 -.48239 (329*2π)/3331 weeks
330-1.66286 2.72094 (330*2π)/3331 weeks
33125.18564 -10.76359 (331*2π)/3331 weeks



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