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# Fourier Analysis of CGPI (CHINA REDSTONE GROUP)

CGPI (CHINA REDSTONE GROUP) appears to have interesting cyclic behaviour every 40 weeks (.2014*cosine), 34 weeks (.175*sine), and 37 weeks (.1635*cosine).

CGPI (CHINA REDSTONE GROUP) has an average price of .72 (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.

## Fourier Analysis

Using data from 4/7/2004 to 3/20/2017 for CGPI (CHINA REDSTONE GROUP), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0.71503   0
1.75852 1.05217 (1*2π)/403403 weeks
2-.29095 .95545 (2*2π)/403202 weeks
3-.61057 .23883 (3*2π)/403134 weeks
4-.32032 -.18254 (4*2π)/403101 weeks
5-.02868 -.17756 (5*2π)/40381 weeks
6.05307 -.05243 (6*2π)/40367 weeks
7-.00425 -.00733 (7*2π)/40358 weeks
8-.01466 -.0803 (8*2π)/40350 weeks
9.10057 -.11998 (9*2π)/40345 weeks
10.20137 -.01171 (10*2π)/40340 weeks
11.16349 .13523 (11*2π)/40337 weeks
12.03857 .17502 (12*2π)/40334 weeks
13-.04259 .1302 (13*2π)/40331 weeks
14-.0723 .07847 (14*2π)/40329 weeks
15-.0794 .02088 (15*2π)/40327 weeks
16-.05001 -.02327 (16*2π)/40325 weeks
17-.00938 -.0211 (17*2π)/40324 weeks
18-.0187 -.01999 (18*2π)/40322 weeks
19-.00257 -.05573 (19*2π)/40321 weeks
20.06364 -.05898 (20*2π)/40320 weeks
21.09977 -.00107 (21*2π)/40319 weeks
22.08315 .05396 (22*2π)/40318 weeks
23.04977 .08371 (23*2π)/40318 weeks
24-.00226 .08883 (24*2π)/40317 weeks
25-.03973 .05773 (25*2π)/40316 weeks
26-.03562 .01288 (26*2π)/40316 weeks
27-.01007 -.00238 (27*2π)/40315 weeks
28.00915 .00997 (28*2π)/40314 weeks
29.00485 .02247 (29*2π)/40314 weeks
30-.01119 .02394 (30*2π)/40313 weeks
31-.01882 .00743 (31*2π)/40313 weeks
32-.00347 -.00851 (32*2π)/40313 weeks
33.00573 -.00128 (33*2π)/40312 weeks
34.00713 -.0015 (34*2π)/40312 weeks
35.01878 -.00928 (35*2π)/40312 weeks
36.03803 .00947 (36*2π)/40311 weeks
37.03073 .03887 (37*2π)/40311 weeks
38.00358 .04445 (38*2π)/40311 weeks
39-.01171 .03649 (39*2π)/40310 weeks
40-.02023 .02628 (40*2π)/40310 weeks
41-.0228 .00924 (41*2π)/40310 weeks
42-.01334 .00676 (42*2π)/40310 weeks
43-.01875 .00961 (43*2π)/4039 weeks
44-.03256 -.00923 (44*2π)/4039 weeks
45-.01597 -.0367 (45*2π)/4039 weeks
46.01817 -.04359 (46*2π)/4039 weeks
47.04712 -.02542 (47*2π)/4039 weeks
48.05789 .00919 (48*2π)/4038 weeks
49.04482 .03909 (49*2π)/4038 weeks
50.01542 .05208 (50*2π)/4038 weeks
51-.00462 .04643 (51*2π)/4038 weeks
52-.01617 .04064 (52*2π)/4038 weeks
53-.03955 .03786 (53*2π)/4038 weeks
54-.06539 .00192 (54*2π)/4037 weeks
55-.04506 -.05294 (55*2π)/4037 weeks
56.00977 -.06375 (56*2π)/4037 weeks
57.04274 -.03473 (57*2π)/4037 weeks
58.04387 -.01247 (58*2π)/4037 weeks
59.04859 -.00158 (59*2π)/4037 weeks
60.05848 .02083 (60*2π)/4037 weeks
61.04618 .05498 (61*2π)/4037 weeks
62.00915 .07652 (62*2π)/4037 weeks
63-.03733 .06356 (63*2π)/4036 weeks
64-.05716 .01899 (64*2π)/4036 weeks
65-.03823 -.01343 (65*2π)/4036 weeks
66-.01866 -.0176 (66*2π)/4036 weeks
67-.01473 -.02389 (67*2π)/4036 weeks
68.00525 -.0376 (68*2π)/4036 weeks
69.03868 -.02907 (69*2π)/4036 weeks
70.05208 .0075 (70*2π)/4036 weeks
71.03188 .03471 (71*2π)/4036 weeks
72.01151 .0354 (72*2π)/4036 weeks
73.00314 .03425 (73*2π)/4036 weeks
74-.00888 .03867 (74*2π)/4035 weeks
75-.03259 .03026 (75*2π)/4035 weeks
76-.04235 -.00134 (76*2π)/4035 weeks
77-.01896 -.02513 (77*2π)/4035 weeks
78.00268 -.01721 (78*2π)/4035 weeks
79.0022 -.00921 (79*2π)/4035 weeks
80.00625 -.01667 (80*2π)/4035 weeks
81.02668 -.01111 (81*2π)/4035 weeks
82.02864 .01581 (82*2π)/4035 weeks
83.00617 .02646 (83*2π)/4035 weeks
84-.00608 .01412 (84*2π)/4035 weeks
85-.00093 .00776 (85*2π)/4035 weeks
86-.00191 .01296 (86*2π)/4035 weeks
87-.01203 .01138 (87*2π)/4035 weeks
88-.01731 -.00263 (88*2π)/4035 weeks
89-.00733 -.01675 (89*2π)/4035 weeks
90.01321 -.01693 (90*2π)/4034 weeks
91.023 .00325 (91*2π)/4034 weeks
92.00755 .01826 (92*2π)/4034 weeks
93-.00538 .0084 (93*2π)/4034 weeks
94.00057 .00162 (94*2π)/4034 weeks
95-.0008 .00884 (95*2π)/4034 weeks
96-.01308 .00098 (96*2π)/4034 weeks
97-.00453 -.01945 (97*2π)/4034 weeks
98.02148 -.01486 (98*2π)/4034 weeks
99.02633 .00897 (99*2π)/4034 weeks
100.00978 .02188 (100*2π)/4034 weeks
101-.00397 .01646 (101*2π)/4034 weeks
102-.00542 .00847 (102*2π)/4034 weeks
103-.00692 .00791 (103*2π)/4034 weeks
104-.01245 .00408 (104*2π)/4034 weeks
105-.01505 -.00902 (105*2π)/4034 weeks
106-.0034 -.02131 (106*2π)/4034 weeks
107.01448 -.01779 (107*2π)/4034 weeks
108.01967 -.00545 (108*2π)/4034 weeks
109.01515 .00256 (109*2π)/4034 weeks
110.01372 .00058 (110*2π)/4034 weeks
111.02006 .00253 (111*2π)/4034 weeks
112.02294 .01608 (112*2π)/4034 weeks
113.01146 .03018 (113*2π)/4034 weeks
114-.01024 .02882 (114*2π)/4034 weeks
115-.02063 .01301 (115*2π)/4034 weeks
116-.01609 -.00087 (116*2π)/4033 weeks
117-.01121 -.00385 (117*2π)/4033 weeks
118-.0141 -.00766 (118*2π)/4033 weeks
119-.00917 -.0267 (119*2π)/4033 weeks
120.0195 -.03359 (120*2π)/4033 weeks
121.0438 -.00901 (121*2π)/4033 weeks
122.03701 .02216 (122*2π)/4033 weeks
123.01381 .03259 (123*2π)/4033 weeks
124.00048 .02942 (124*2π)/4033 weeks
125-.00986 .02597 (125*2π)/4033 weeks
126-.02137 .01903 (126*2π)/4033 weeks
127-.02743 .00457 (127*2π)/4033 weeks
128-.02447 -.01326 (128*2π)/4033 weeks
129-.00968 -.02286 (129*2π)/4033 weeks
130.00252 -.02107 (130*2π)/4033 weeks
131.00999 -.02161 (131*2π)/4033 weeks
132.02579 -.01714 (132*2π)/4033 weeks
133.03627 .00433 (133*2π)/4033 weeks
134.02204 .02536 (134*2π)/4033 weeks
135.00389 .02604 (135*2π)/4033 weeks
136-.00313 .02291 (136*2π)/4033 weeks
137-.01693 .02221 (137*2π)/4033 weeks
138-.02966 .00547 (138*2π)/4033 weeks
139-.02362 -.01609 (139*2π)/4033 weeks
140-.0072 -.02391 (140*2π)/4033 weeks
141.00328 -.02003 (141*2π)/4033 weeks
142.00892 -.02113 (142*2π)/4033 weeks
143.02094 -.01942 (143*2π)/4033 weeks
144.03449 -.00758 (144*2π)/4033 weeks
145.03677 .01647 (145*2π)/4033 weeks
146.0161 .0365 (146*2π)/4033 weeks
147-.01113 .03196 (147*2π)/4033 weeks
148-.02235 .01132 (148*2π)/4033 weeks
149-.01646 -.00314 (149*2π)/4033 weeks
150-.01055 -.00676 (150*2π)/4033 weeks
151-.0092 -.01338 (151*2π)/4033 weeks
152.0014 -.02172 (152*2π)/4033 weeks
153.0185 -.01839 (153*2π)/4033 weeks
154.02552 -.00159 (154*2π)/4033 weeks
155.01766 .01022 (155*2π)/4033 weeks
156.01037 .01253 (156*2π)/4033 weeks
157.00443 .01338 (157*2π)/4033 weeks
158-.00155 .01171 (158*2π)/4033 weeks
159-.00588 .00794 (159*2π)/4033 weeks
160-.01038 .00207 (160*2π)/4033 weeks
161-.00907 -.01004 (161*2π)/4033 weeks
162.00463 -.01683 (162*2π)/4032 weeks
163.01728 -.00865 (163*2π)/4032 weeks
164.01771 .00265 (164*2π)/4032 weeks
165.01458 .00979 (165*2π)/4032 weeks
166.00719 .01607 (166*2π)/4032 weeks
167-.00339 .01448 (167*2π)/4032 weeks
168-.00837 .00719 (168*2π)/4032 weeks
169-.00849 .00096 (169*2π)/4032 weeks
170-.00813 -.00501 (170*2π)/4032 weeks
171-.00315 -.01141 (171*2π)/4032 weeks
172.00547 -.01413 (172*2π)/4032 weeks
173.01486 -.0114 (173*2π)/4032 weeks
174.02299 -.00135 (174*2π)/4032 weeks
175.01909 .01227 (175*2π)/4032 weeks
176.01042 .0158 (176*2π)/4032 weeks
177.00648 .01974 (177*2π)/4032 weeks
178-.0055 .02381 (178*2π)/4032 weeks
179-.02195 .01683 (179*2π)/4032 weeks
180-.02818 -.00423 (180*2π)/4032 weeks
181-.01632 -.02261 (181*2π)/4032 weeks
182.00189 -.02678 (182*2π)/4032 weeks
183.01847 -.0208 (183*2π)/4032 weeks
184.02647 -.00613 (184*2π)/4032 weeks
185.0251 .00819 (185*2π)/4032 weeks
186.01822 .0205 (186*2π)/4032 weeks
187.00227 .02697 (187*2π)/4032 weeks
188-.01345 .02109 (188*2π)/4032 weeks
189-.01875 .00722 (189*2π)/4032 weeks
190-.01717 -.00005 (190*2π)/4032 weeks
191-.01888 -.00582 (191*2π)/4032 weeks
192-.01843 -.01927 (192*2π)/4032 weeks
193-.00563 -.03433 (193*2π)/4032 weeks
194.02169 -.03501 (194*2π)/4032 weeks
195.03972 -.01153 (195*2π)/4032 weeks
196.02994 .01362 (196*2π)/4032 weeks
197.01424 .01604 (197*2π)/4032 weeks
198.01311 .01382 (198*2π)/4032 weeks
199.00868 .02577 (199*2π)/4032 weeks
200-.0123 .02855 (200*2π)/4032 weeks
201-.02909 .0113 (201*2π)/4032 weeks
202-.02909 -.0113 (202*2π)/4032 weeks
203-.0123 -.02855 (203*2π)/4032 weeks
204.00868 -.02577 (204*2π)/4032 weeks
205.01311 -.01382 (205*2π)/4032 weeks
206.01424 -.01604 (206*2π)/4032 weeks
207.02994 -.01362 (207*2π)/4032 weeks
208.03972 .01153 (208*2π)/4032 weeks
209.02169 .03501 (209*2π)/4032 weeks
210-.00563 .03433 (210*2π)/4032 weeks
211-.01843 .01927 (211*2π)/4032 weeks
212-.01888 .00582 (212*2π)/4032 weeks
213-.01717 .00005 (213*2π)/4032 weeks
214-.01875 -.00722 (214*2π)/4032 weeks
215-.01345 -.02109 (215*2π)/4032 weeks
216.00227 -.02697 (216*2π)/4032 weeks
217.01822 -.0205 (217*2π)/4032 weeks
218.0251 -.00819 (218*2π)/4032 weeks
219.02647 .00613 (219*2π)/4032 weeks
220.01847 .0208 (220*2π)/4032 weeks
221.00189 .02678 (221*2π)/4032 weeks
222-.01632 .02261 (222*2π)/4032 weeks
223-.02818 .00423 (223*2π)/4032 weeks
224-.02195 -.01683 (224*2π)/4032 weeks
225-.0055 -.02381 (225*2π)/4032 weeks
226.00648 -.01974 (226*2π)/4032 weeks
227.01042 -.0158 (227*2π)/4032 weeks
228.01909 -.01227 (228*2π)/4032 weeks
229.02299 .00135 (229*2π)/4032 weeks
230.01486 .0114 (230*2π)/4032 weeks
231.00547 .01413 (231*2π)/4032 weeks
232-.00315 .01141 (232*2π)/4032 weeks
233-.00813 .00501 (233*2π)/4032 weeks
234-.00849 -.00096 (234*2π)/4032 weeks
235-.00837 -.00719 (235*2π)/4032 weeks
236-.00339 -.01448 (236*2π)/4032 weeks
237.00719 -.01607 (237*2π)/4032 weeks
238.01458 -.00979 (238*2π)/4032 weeks
239.01771 -.00265 (239*2π)/4032 weeks
240.01728 .00865 (240*2π)/4032 weeks
241.00463 .01683 (241*2π)/4032 weeks
242-.00907 .01004 (242*2π)/4032 weeks
243-.01038 -.00207 (243*2π)/4032 weeks
244-.00588 -.00794 (244*2π)/4032 weeks
245-.00155 -.01171 (245*2π)/4032 weeks
246.00443 -.01338 (246*2π)/4032 weeks
247.01037 -.01253 (247*2π)/4032 weeks
248.01766 -.01022 (248*2π)/4032 weeks
249.02552 .00159 (249*2π)/4032 weeks
250.0185 .01839 (250*2π)/4032 weeks
251.0014 .02172 (251*2π)/4032 weeks
252-.0092 .01338 (252*2π)/4032 weeks
253-.01055 .00676 (253*2π)/4032 weeks
254-.01646 .00314 (254*2π)/4032 weeks
255-.02235 -.01132 (255*2π)/4032 weeks
256-.01113 -.03196 (256*2π)/4032 weeks
257.0161 -.0365 (257*2π)/4032 weeks
258.03677 -.01647 (258*2π)/4032 weeks
259.03449 .00758 (259*2π)/4032 weeks
260.02094 .01942 (260*2π)/4032 weeks
261.00892 .02113 (261*2π)/4032 weeks
262.00328 .02003 (262*2π)/4032 weeks
263-.0072 .02391 (263*2π)/4032 weeks
264-.02362 .01609 (264*2π)/4032 weeks
265-.02966 -.00547 (265*2π)/4032 weeks
266-.01693 -.02221 (266*2π)/4032 weeks
267-.00313 -.02291 (267*2π)/4032 weeks
268.00389 -.02604 (268*2π)/4032 weeks
269.02204 -.02536 (269*2π)/4031 weeks
270.03627 -.00433 (270*2π)/4031 weeks
271.02579 .01714 (271*2π)/4031 weeks
272.00999 .02161 (272*2π)/4031 weeks
273.00252 .02107 (273*2π)/4031 weeks
274-.00968 .02286 (274*2π)/4031 weeks
275-.02447 .01326 (275*2π)/4031 weeks
276-.02743 -.00457 (276*2π)/4031 weeks
277-.02137 -.01903 (277*2π)/4031 weeks
278-.00986 -.02597 (278*2π)/4031 weeks
279.00048 -.02942 (279*2π)/4031 weeks
280.01381 -.03259 (280*2π)/4031 weeks
281.03701 -.02216 (281*2π)/4031 weeks
282.0438 .00901 (282*2π)/4031 weeks
283.0195 .03359 (283*2π)/4031 weeks
284-.00917 .0267 (284*2π)/4031 weeks
285-.0141 .00766 (285*2π)/4031 weeks
286-.01121 .00385 (286*2π)/4031 weeks
287-.01609 .00087 (287*2π)/4031 weeks
288-.02063 -.01301 (288*2π)/4031 weeks
289-.01024 -.02882 (289*2π)/4031 weeks
290.01146 -.03018 (290*2π)/4031 weeks
291.02294 -.01608 (291*2π)/4031 weeks
292.02006 -.00253 (292*2π)/4031 weeks
293.01372 -.00058 (293*2π)/4031 weeks
294.01515 -.00256 (294*2π)/4031 weeks
295.01967 .00545 (295*2π)/4031 weeks
296.01448 .01779 (296*2π)/4031 weeks
297-.0034 .02131 (297*2π)/4031 weeks
298-.01505 .00902 (298*2π)/4031 weeks
299-.01245 -.00408 (299*2π)/4031 weeks
300-.00692 -.00791 (300*2π)/4031 weeks
301-.00542 -.00847 (301*2π)/4031 weeks
302-.00397 -.01646 (302*2π)/4031 weeks
303.00978 -.02188 (303*2π)/4031 weeks
304.02633 -.00897 (304*2π)/4031 weeks
305.02148 .01486 (305*2π)/4031 weeks
306-.00453 .01945 (306*2π)/4031 weeks
307-.01308 -.00098 (307*2π)/4031 weeks
308-.0008 -.00884 (308*2π)/4031 weeks
309.00057 -.00162 (309*2π)/4031 weeks
310-.00538 -.0084 (310*2π)/4031 weeks
311.00755 -.01826 (311*2π)/4031 weeks
312.023 -.00325 (312*2π)/4031 weeks
313.01321 .01693 (313*2π)/4031 weeks
314-.00733 .01675 (314*2π)/4031 weeks
315-.01731 .00263 (315*2π)/4031 weeks
316-.01203 -.01138 (316*2π)/4031 weeks
317-.00191 -.01296 (317*2π)/4031 weeks
318-.00093 -.00776 (318*2π)/4031 weeks
319-.00608 -.01412 (319*2π)/4031 weeks
320.00617 -.02646 (320*2π)/4031 weeks
321.02864 -.01581 (321*2π)/4031 weeks
322.02668 .01111 (322*2π)/4031 weeks
323.00625 .01667 (323*2π)/4031 weeks
324.0022 .00921 (324*2π)/4031 weeks
325.00268 .01721 (325*2π)/4031 weeks
326-.01896 .02513 (326*2π)/4031 weeks
327-.04235 .00134 (327*2π)/4031 weeks
328-.03259 -.03026 (328*2π)/4031 weeks
329-.00888 -.03867 (329*2π)/4031 weeks
330.00314 -.03425 (330*2π)/4031 weeks
331.01151 -.0354 (331*2π)/4031 weeks
332.03188 -.03471 (332*2π)/4031 weeks
333.05208 -.0075 (333*2π)/4031 weeks
334.03868 .02907 (334*2π)/4031 weeks
335.00525 .0376 (335*2π)/4031 weeks
336-.01473 .02389 (336*2π)/4031 weeks
337-.01866 .0176 (337*2π)/4031 weeks
338-.03823 .01343 (338*2π)/4031 weeks
339-.05716 -.01899 (339*2π)/4031 weeks
340-.03733 -.06356 (340*2π)/4031 weeks
341.00915 -.07652 (341*2π)/4031 weeks
342.04618 -.05498 (342*2π)/4031 weeks
343.05848 -.02083 (343*2π)/4031 weeks
344.04859 .00158 (344*2π)/4031 weeks
345.04387 .01247 (345*2π)/4031 weeks
346.04274 .03473 (346*2π)/4031 weeks
347.00977 .06375 (347*2π)/4031 weeks
348-.04506 .05294 (348*2π)/4031 weeks
349-.06539 -.00192 (349*2π)/4031 weeks
350-.03955 -.03786 (350*2π)/4031 weeks
351-.01617 -.04064 (351*2π)/4031 weeks
352-.00462 -.04643 (352*2π)/4031 weeks
353.01542 -.05208 (353*2π)/4031 weeks
354.04482 -.03909 (354*2π)/4031 weeks
355.05789 -.00919 (355*2π)/4031 weeks
356.04712 .02542 (356*2π)/4031 weeks
357.01817 .04359 (357*2π)/4031 weeks
358-.01597 .0367 (358*2π)/4031 weeks
359-.03256 .00923 (359*2π)/4031 weeks
360-.01875 -.00961 (360*2π)/4031 weeks
361-.01334 -.00676 (361*2π)/4031 weeks
362-.0228 -.00924 (362*2π)/4031 weeks
363-.02023 -.02628 (363*2π)/4031 weeks
364-.01171 -.03649 (364*2π)/4031 weeks
365.00358 -.04445 (365*2π)/4031 weeks
366.03073 -.03887 (366*2π)/4031 weeks
367.03803 -.00947 (367*2π)/4031 weeks
368.01878 .00928 (368*2π)/4031 weeks
369.00713 .0015 (369*2π)/4031 weeks
370.00573 .00128 (370*2π)/4031 weeks
371-.00347 .00851 (371*2π)/4031 weeks
372-.01882 -.00743 (372*2π)/4031 weeks
373-.01119 -.02394 (373*2π)/4031 weeks
374.00485 -.02247 (374*2π)/4031 weeks
375.00915 -.00997 (375*2π)/4031 weeks
376-.01007 .00238 (376*2π)/4031 weeks
377-.03562 -.01288 (377*2π)/4031 weeks
378-.03973 -.05773 (378*2π)/4031 weeks
379-.00226 -.08883 (379*2π)/4031 weeks
380.04977 -.08371 (380*2π)/4031 weeks
381.08315 -.05396 (381*2π)/4031 weeks
382.09977 .00107 (382*2π)/4031 weeks
383.06364 .05898 (383*2π)/4031 weeks
384-.00257 .05573 (384*2π)/4031 weeks
385-.0187 .01999 (385*2π)/4031 weeks
386-.00938 .0211 (386*2π)/4031 weeks
387-.05001 .02327 (387*2π)/4031 weeks
388-.0794 -.02088 (388*2π)/4031 weeks
389-.0723 -.07847 (389*2π)/4031 weeks
390-.04259 -.1302 (390*2π)/4031 weeks
391.03857 -.17502 (391*2π)/4031 weeks
392.16349 -.13523 (392*2π)/4031 weeks
393.20137 .01171 (393*2π)/4031 weeks
394.10057 .11998 (394*2π)/4031 weeks
395-.01466 .0803 (395*2π)/4031 weeks
396-.00425 .00733 (396*2π)/4031 weeks
397.05307 .05243 (397*2π)/4031 weeks
398-.02868 .17756 (398*2π)/4031 weeks
399-.32032 .18254 (399*2π)/4031 weeks
400-.61057 -.23883 (400*2π)/4031 weeks
401-.29095 -.95545 (401*2π)/4031 weeks