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# Fourier Analysis of NOAH (Noah Holdings Limited)

NOAH (Noah Holdings Limited) appears to have interesting cyclic behaviour every 39 weeks (1.7473*sine), 22 weeks (1.1154*sine), and 25 weeks (1.0923*sine).

NOAH (Noah Holdings Limited) has an average price of 20.02 (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 11/10/2010 to 5/21/2018 for NOAH (Noah Holdings Limited), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
020.0199   0
13.90032 -11.32403 (1*2π)/394394 weeks
25.2939 -3.1466 (2*2π)/394197 weeks
34.39885 -3.05298 (3*2π)/394131 weeks
4-.22905 -3.233 (4*2π)/39499 weeks
52.23593 -3.00349 (5*2π)/39479 weeks
6-.62589 -1.997 (6*2π)/39466 weeks
7.19828 -1.92114 (7*2π)/39456 weeks
8-.02995 -1.6633 (8*2π)/39449 weeks
9-.4311 -1.22656 (9*2π)/39444 weeks
10.56046 -1.74728 (10*2π)/39439 weeks
11-.82105 -.51179 (11*2π)/39436 weeks
12.6333 -.13113 (12*2π)/39433 weeks
13.33448 -1.01398 (13*2π)/39430 weeks
14-.44099 -.35453 (14*2π)/39428 weeks
151.01779 -.849 (15*2π)/39426 weeks
16-.33997 -1.09231 (16*2π)/39425 weeks
17.60065 .01406 (17*2π)/39423 weeks
181.00138 -1.11536 (18*2π)/39422 weeks
19-.37792 -.72829 (19*2π)/39421 weeks
20.46492 -.76757 (20*2π)/39420 weeks
21-.10475 -.53717 (21*2π)/39419 weeks
22.05963 -.61166 (22*2π)/39418 weeks
23-.2143 -.10744 (23*2π)/39417 weeks
24.12698 -.31417 (24*2π)/39416 weeks
25.06135 -.58976 (25*2π)/39416 weeks
26-.16329 -.82586 (26*2π)/39415 weeks
27.22041 -.82896 (27*2π)/39415 weeks
28-.14184 -.77526 (28*2π)/39414 weeks
29-.22534 -.90081 (29*2π)/39414 weeks
30.24295 -.6363 (30*2π)/39413 weeks
31-.43226 -.69505 (31*2π)/39413 weeks
32-.00823 -.58922 (32*2π)/39412 weeks
33-.13796 -.42546 (33*2π)/39412 weeks
34-.02567 -.12134 (34*2π)/39412 weeks
35.10455 -.45789 (35*2π)/39411 weeks
36.14096 -.175 (36*2π)/39411 weeks
37.11479 -.26851 (37*2π)/39411 weeks
38.00492 -.64228 (38*2π)/39410 weeks
39-.03173 -.30317 (39*2π)/39410 weeks
40-.27876 -.41941 (40*2π)/39410 weeks
41.03335 -.55566 (41*2π)/39410 weeks
42-.16679 -.43865 (42*2π)/3949 weeks
43-.06453 -.38331 (43*2π)/3949 weeks
44.18591 -.59396 (44*2π)/3949 weeks
45-.07252 -.43086 (45*2π)/3949 weeks
46.19175 -.58628 (46*2π)/3949 weeks
47-.20159 -.55097 (47*2π)/3948 weeks
48-.08268 -.22879 (48*2π)/3948 weeks
49-.12725 -.49542 (49*2π)/3948 weeks
50-.23926 -.35436 (50*2π)/3948 weeks
51-.1205 -.39145 (51*2π)/3948 weeks
52-.39398 -.56755 (52*2π)/3948 weeks
53-.19401 -.18455 (53*2π)/3947 weeks
54-.20348 -.35784 (54*2π)/3947 weeks
55-.09533 -.35341 (55*2π)/3947 weeks
56-.11726 -.18329 (56*2π)/3947 weeks
57-.0525 -.16538 (57*2π)/3947 weeks
58-.00677 -.06413 (58*2π)/3947 weeks
59-.05608 -.18584 (59*2π)/3947 weeks
60.06607 -.25376 (60*2π)/3947 weeks
61-.02924 -.32142 (61*2π)/3946 weeks
62-.08561 -.49298 (62*2π)/3946 weeks
63-.10079 -.30286 (63*2π)/3946 weeks
64-.21391 -.16457 (64*2π)/3946 weeks
65-.12806 -.34474 (65*2π)/3946 weeks
66-.18909 -.17192 (66*2π)/3946 weeks
67-.20956 -.19503 (67*2π)/3946 weeks
68-.04662 -.23638 (68*2π)/3946 weeks
69-.05524 -.29032 (69*2π)/3946 weeks
70-.25524 -.28354 (70*2π)/3946 weeks
71-.01688 -.12023 (71*2π)/3946 weeks
72-.19036 -.30903 (72*2π)/3945 weeks
73-.28119 -.18439 (73*2π)/3945 weeks
74-.18306 -.24426 (74*2π)/3945 weeks
75-.2426 -.1858 (75*2π)/3945 weeks
76-.26589 -.34317 (76*2π)/3945 weeks
77-.28516 -.19404 (77*2π)/3945 weeks
78-.26315 -.17946 (78*2π)/3945 weeks
79-.22217 -.1997 (79*2π)/3945 weeks
80-.12626 -.04943 (80*2π)/3945 weeks
81-.16758 -.13066 (81*2π)/3945 weeks
82-.11003 -.18233 (82*2π)/3945 weeks
83-.17289 .10673 (83*2π)/3945 weeks
84-.05953 -.19255 (84*2π)/3945 weeks
85-.09593 -.25445 (85*2π)/3945 weeks
86-.17256 -.0074 (86*2π)/3945 weeks
87-.00677 -.3849 (87*2π)/3945 weeks
88-.09631 -.13533 (88*2π)/3944 weeks
89-.23698 -.28483 (89*2π)/3944 weeks
90-.2136 -.30418 (90*2π)/3944 weeks
91-.18444 -.10412 (91*2π)/3944 weeks
92-.31236 -.24348 (92*2π)/3944 weeks
93-.22404 -.1368 (93*2π)/3944 weeks
94-.30182 -.05949 (94*2π)/3944 weeks
95-.28334 -.16982 (95*2π)/3944 weeks
96-.26696 -.02567 (96*2π)/3944 weeks
97-.16721 -.06451 (97*2π)/3944 weeks
98-.25278 -.10584 (98*2π)/3944 weeks
99-.03681 .09771 (99*2π)/3944 weeks
100-.13741 -.22809 (100*2π)/3944 weeks
101-.22233 .03228 (101*2π)/3944 weeks
102-.09273 -.02048 (102*2π)/3944 weeks
103-.11893 -.10533 (103*2π)/3944 weeks
104-.17249 -.1365 (104*2π)/3944 weeks
105-.16601 -.08226 (105*2π)/3944 weeks
106.00734 -.11262 (106*2π)/3944 weeks
107-.209 -.22605 (107*2π)/3944 weeks
108-.07633 -.02045 (108*2π)/3944 weeks
109-.04843 -.13045 (109*2π)/3944 weeks
110-.1354 -.20217 (110*2π)/3944 weeks
111-.1515 -.11669 (111*2π)/3944 weeks
112-.13211 -.15445 (112*2π)/3944 weeks
113-.1374 -.17222 (113*2π)/3943 weeks
114-.13917 -.14786 (114*2π)/3943 weeks
115-.14951 -.19967 (115*2π)/3943 weeks
116-.13207 -.12066 (116*2π)/3943 weeks
117-.02743 -.16458 (117*2π)/3943 weeks
118-.14705 -.19254 (118*2π)/3943 weeks
119-.17848 -.08532 (119*2π)/3943 weeks
120-.13645 -.17701 (120*2π)/3943 weeks
121-.18895 -.04747 (121*2π)/3943 weeks
122-.26657 -.1272 (122*2π)/3943 weeks
123-.18575 -.06234 (123*2π)/3943 weeks
124-.26109 -.00182 (124*2π)/3943 weeks
125-.3035 .02865 (125*2π)/3943 weeks
126-.07889 .03481 (126*2π)/3943 weeks
127-.18933 .03077 (127*2π)/3943 weeks
128-.06712 -.00435 (128*2π)/3943 weeks
129-.02872 .11277 (129*2π)/3943 weeks
130-.12209 -.11292 (130*2π)/3943 weeks
131-.06302 .12389 (131*2π)/3943 weeks
132.00724 -.0465 (132*2π)/3943 weeks
133-.07558 -.17059 (133*2π)/3943 weeks
134-.09658 -.05577 (134*2π)/3943 weeks
135-.08247 -.14204 (135*2π)/3943 weeks
136-.16377 -.05043 (136*2π)/3943 weeks
137-.07285 -.09853 (137*2π)/3943 weeks
138-.20965 -.02954 (138*2π)/3943 weeks
139-.03444 -.07675 (139*2π)/3943 weeks
140-.15558 -.09578 (140*2π)/3943 weeks
141-.1205 -.03406 (141*2π)/3943 weeks
142-.05682 -.04463 (142*2π)/3943 weeks
143-.09083 -.08122 (143*2π)/3943 weeks
144-.18506 -.10252 (144*2π)/3943 weeks
145-.17198 -.01407 (145*2π)/3943 weeks
146-.14119 -.03314 (146*2π)/3943 weeks
147-.10656 -.15362 (147*2π)/3943 weeks
148-.29321 -.0198 (148*2π)/3943 weeks
149-.18295 .00283 (149*2π)/3943 weeks
150-.20627 -.0019 (150*2π)/3943 weeks
151-.20527 .07994 (151*2π)/3943 weeks
152-.17848 .05981 (152*2π)/3943 weeks
153-.12917 .09286 (153*2π)/3943 weeks
154-.23746 .0309 (154*2π)/3943 weeks
155-.1609 .18436 (155*2π)/3943 weeks
156-.05537 .05208 (156*2π)/3943 weeks
157-.18124 -.0132 (157*2π)/3943 weeks
158-.01991 .0879 (158*2π)/3942 weeks
159-.06304 -.05233 (159*2π)/3942 weeks
160-.07007 -.0413 (160*2π)/3942 weeks
161-.05185 -.04831 (161*2π)/3942 weeks
162-.07238 -.12586 (162*2π)/3942 weeks
163-.07504 -.03228 (163*2π)/3942 weeks
164-.07022 -.0227 (164*2π)/3942 weeks
165-.07868 -.07648 (165*2π)/3942 weeks
166-.12749 .01401 (166*2π)/3942 weeks
167-.17745 -.02636 (167*2π)/3942 weeks
168-.15346 -.02424 (168*2π)/3942 weeks
169-.12472 .05425 (169*2π)/3942 weeks
170-.05919 .02765 (170*2π)/3942 weeks
171.03339 -.03893 (171*2π)/3942 weeks
172-.15304 -.00238 (172*2π)/3942 weeks
173.01536 .10916 (173*2π)/3942 weeks
174-.14393 -.05544 (174*2π)/3942 weeks
175-.0966 .00343 (175*2π)/3942 weeks
176-.0588 -.06984 (176*2π)/3942 weeks
177-.15605 -.10603 (177*2π)/3942 weeks
178-.08855 -.0794 (178*2π)/3942 weeks
179-.13974 .02277 (179*2π)/3942 weeks
180-.05279 -.1489 (180*2π)/3942 weeks
181-.20528 .00597 (181*2π)/3942 weeks
182-.18057 -.05988 (182*2π)/3942 weeks
183-.17108 .00257 (183*2π)/3942 weeks
184-.25095 .00148 (184*2π)/3942 weeks
185-.15763 -.05456 (185*2π)/3942 weeks
186-.22313 -.00537 (186*2π)/3942 weeks
187-.18243 .02672 (187*2π)/3942 weeks
188-.06874 .09908 (188*2π)/3942 weeks
189-.12401 .1106 (189*2π)/3942 weeks
190-.05204 .05511 (190*2π)/3942 weeks
191-.00845 .08434 (191*2π)/3942 weeks
192-.1422 -.0189 (192*2π)/3942 weeks
193-.08838 .02945 (193*2π)/3942 weeks
194-.04822 .0954 (194*2π)/3942 weeks
195-.11778 -.15352 (195*2π)/3942 weeks
196-.1222 .14509 (196*2π)/3942 weeks
197.02725   (197*2π)/3942 weeks
198-.1222 -.14509 (198*2π)/3942 weeks
199-.11778 .15352 (199*2π)/3942 weeks
200-.04822 -.0954 (200*2π)/3942 weeks
201-.08838 -.02945 (201*2π)/3942 weeks
202-.1422 .0189 (202*2π)/3942 weeks
203-.00845 -.08434 (203*2π)/3942 weeks
204-.05204 -.05511 (204*2π)/3942 weeks
205-.12401 -.1106 (205*2π)/3942 weeks
206-.06874 -.09908 (206*2π)/3942 weeks
207-.18243 -.02672 (207*2π)/3942 weeks
208-.22313 .00537 (208*2π)/3942 weeks
209-.15763 .05456 (209*2π)/3942 weeks
210-.25095 -.00148 (210*2π)/3942 weeks
211-.17108 -.00257 (211*2π)/3942 weeks
212-.18057 .05988 (212*2π)/3942 weeks
213-.20528 -.00597 (213*2π)/3942 weeks
214-.05279 .1489 (214*2π)/3942 weeks
215-.13974 -.02277 (215*2π)/3942 weeks
216-.08855 .0794 (216*2π)/3942 weeks
217-.15605 .10603 (217*2π)/3942 weeks
218-.0588 .06984 (218*2π)/3942 weeks
219-.0966 -.00343 (219*2π)/3942 weeks
220-.14393 .05544 (220*2π)/3942 weeks
221.01536 -.10916 (221*2π)/3942 weeks
222-.15304 .00238 (222*2π)/3942 weeks
223.03339 .03893 (223*2π)/3942 weeks
224-.05919 -.02765 (224*2π)/3942 weeks
225-.12472 -.05425 (225*2π)/3942 weeks
226-.15346 .02424 (226*2π)/3942 weeks
227-.17745 .02636 (227*2π)/3942 weeks
228-.12749 -.01401 (228*2π)/3942 weeks
229-.07868 .07648 (229*2π)/3942 weeks
230-.07022 .0227 (230*2π)/3942 weeks
231-.07504 .03228 (231*2π)/3942 weeks
232-.07238 .12586 (232*2π)/3942 weeks
233-.05185 .04831 (233*2π)/3942 weeks
234-.07007 .0413 (234*2π)/3942 weeks
235-.06304 .05233 (235*2π)/3942 weeks
236-.01991 -.0879 (236*2π)/3942 weeks
237-.18124 .0132 (237*2π)/3942 weeks
238-.05537 -.05208 (238*2π)/3942 weeks
239-.1609 -.18436 (239*2π)/3942 weeks
240-.23746 -.0309 (240*2π)/3942 weeks
241-.12917 -.09286 (241*2π)/3942 weeks
242-.17848 -.05981 (242*2π)/3942 weeks
243-.20527 -.07994 (243*2π)/3942 weeks
244-.20627 .0019 (244*2π)/3942 weeks
245-.18295 -.00283 (245*2π)/3942 weeks
246-.29321 .0198 (246*2π)/3942 weeks
247-.10656 .15362 (247*2π)/3942 weeks
248-.14119 .03314 (248*2π)/3942 weeks
249-.17198 .01407 (249*2π)/3942 weeks
250-.18506 .10252 (250*2π)/3942 weeks
251-.09083 .08122 (251*2π)/3942 weeks
252-.05682 .04463 (252*2π)/3942 weeks
253-.1205 .03406 (253*2π)/3942 weeks
254-.15558 .09578 (254*2π)/3942 weeks
255-.03444 .07675 (255*2π)/3942 weeks
256-.20965 .02954 (256*2π)/3942 weeks
257-.07285 .09853 (257*2π)/3942 weeks
258-.16377 .05043 (258*2π)/3942 weeks
259-.08247 .14204 (259*2π)/3942 weeks
260-.09658 .05577 (260*2π)/3942 weeks
261-.07558 .17059 (261*2π)/3942 weeks
262.00724 .0465 (262*2π)/3942 weeks
263-.06302 -.12389 (263*2π)/3941 weeks
264-.12209 .11292 (264*2π)/3941 weeks
265-.02872 -.11277 (265*2π)/3941 weeks
266-.06712 .00435 (266*2π)/3941 weeks
267-.18933 -.03077 (267*2π)/3941 weeks
268-.07889 -.03481 (268*2π)/3941 weeks
269-.3035 -.02865 (269*2π)/3941 weeks
270-.26109 .00182 (270*2π)/3941 weeks
271-.18575 .06234 (271*2π)/3941 weeks
272-.26657 .1272 (272*2π)/3941 weeks
273-.18895 .04747 (273*2π)/3941 weeks
274-.13645 .17701 (274*2π)/3941 weeks
275-.17848 .08532 (275*2π)/3941 weeks
276-.14705 .19254 (276*2π)/3941 weeks
277-.02743 .16458 (277*2π)/3941 weeks
278-.13207 .12066 (278*2π)/3941 weeks
279-.14951 .19967 (279*2π)/3941 weeks
280-.13917 .14786 (280*2π)/3941 weeks
281-.1374 .17222 (281*2π)/3941 weeks
282-.13211 .15445 (282*2π)/3941 weeks
283-.1515 .11669 (283*2π)/3941 weeks
284-.1354 .20217 (284*2π)/3941 weeks
285-.04843 .13045 (285*2π)/3941 weeks
286-.07633 .02045 (286*2π)/3941 weeks
287-.209 .22605 (287*2π)/3941 weeks
288.00734 .11262 (288*2π)/3941 weeks
289-.16601 .08226 (289*2π)/3941 weeks
290-.17249 .1365 (290*2π)/3941 weeks
291-.11893 .10533 (291*2π)/3941 weeks
292-.09273 .02048 (292*2π)/3941 weeks
293-.22233 -.03228 (293*2π)/3941 weeks
294-.13741 .22809 (294*2π)/3941 weeks
295-.03681 -.09771 (295*2π)/3941 weeks
296-.25278 .10584 (296*2π)/3941 weeks
297-.16721 .06451 (297*2π)/3941 weeks
298-.26696 .02567 (298*2π)/3941 weeks
299-.28334 .16982 (299*2π)/3941 weeks
300-.30182 .05949 (300*2π)/3941 weeks
301-.22404 .1368 (301*2π)/3941 weeks
302-.31236 .24348 (302*2π)/3941 weeks
303-.18444 .10412 (303*2π)/3941 weeks
304-.2136 .30418 (304*2π)/3941 weeks
305-.23698 .28483 (305*2π)/3941 weeks
306-.09631 .13533 (306*2π)/3941 weeks
307-.00677 .3849 (307*2π)/3941 weeks
308-.17256 .0074 (308*2π)/3941 weeks
309-.09593 .25445 (309*2π)/3941 weeks
310-.05953 .19255 (310*2π)/3941 weeks
311-.17289 -.10673 (311*2π)/3941 weeks
312-.11003 .18233 (312*2π)/3941 weeks
313-.16758 .13066 (313*2π)/3941 weeks
314-.12626 .04943 (314*2π)/3941 weeks
315-.22217 .1997 (315*2π)/3941 weeks
316-.26315 .17946 (316*2π)/3941 weeks
317-.28516 .19404 (317*2π)/3941 weeks
318-.26589 .34317 (318*2π)/3941 weeks
319-.2426 .1858 (319*2π)/3941 weeks
320-.18306 .24426 (320*2π)/3941 weeks
321-.28119 .18439 (321*2π)/3941 weeks
322-.19036 .30903 (322*2π)/3941 weeks
323-.01688 .12023 (323*2π)/3941 weeks
324-.25524 .28354 (324*2π)/3941 weeks
325-.05524 .29032 (325*2π)/3941 weeks
326-.04662 .23638 (326*2π)/3941 weeks
327-.20956 .19503 (327*2π)/3941 weeks
328-.18909 .17192 (328*2π)/3941 weeks
329-.12806 .34474 (329*2π)/3941 weeks
330-.21391 .16457 (330*2π)/3941 weeks
331-.10079 .30286 (331*2π)/3941 weeks
332-.08561 .49298 (332*2π)/3941 weeks
333-.02924 .32142 (333*2π)/3941 weeks
334.06607 .25376 (334*2π)/3941 weeks
335-.05608 .18584 (335*2π)/3941 weeks
336-.00677 .06413 (336*2π)/3941 weeks
337-.0525 .16538 (337*2π)/3941 weeks
338-.11726 .18329 (338*2π)/3941 weeks
339-.09533 .35341 (339*2π)/3941 weeks
340-.20348 .35784 (340*2π)/3941 weeks
341-.19401 .18455 (341*2π)/3941 weeks
342-.39398 .56755 (342*2π)/3941 weeks
343-.1205 .39145 (343*2π)/3941 weeks
344-.23926 .35436 (344*2π)/3941 weeks
345-.12725 .49542 (345*2π)/3941 weeks
346-.08268 .22879 (346*2π)/3941 weeks
347-.20159 .55097 (347*2π)/3941 weeks
348.19175 .58628 (348*2π)/3941 weeks
349-.07252 .43086 (349*2π)/3941 weeks
350.18591 .59396 (350*2π)/3941 weeks
351-.06453 .38331 (351*2π)/3941 weeks
352-.16679 .43865 (352*2π)/3941 weeks
353.03335 .55566 (353*2π)/3941 weeks
354-.27876 .41941 (354*2π)/3941 weeks
355-.03173 .30317 (355*2π)/3941 weeks
356.00492 .64228 (356*2π)/3941 weeks
357.11479 .26851 (357*2π)/3941 weeks
358.14096 .175 (358*2π)/3941 weeks
359.10455 .45789 (359*2π)/3941 weeks
360-.02567 .12134 (360*2π)/3941 weeks
361-.13796 .42546 (361*2π)/3941 weeks
362-.00823 .58922 (362*2π)/3941 weeks
363-.43226 .69505 (363*2π)/3941 weeks
364.24295 .6363 (364*2π)/3941 weeks
365-.22534 .90081 (365*2π)/3941 weeks
366-.14184 .77526 (366*2π)/3941 weeks
367.22041 .82896 (367*2π)/3941 weeks
368-.16329 .82586 (368*2π)/3941 weeks
369.06135 .58976 (369*2π)/3941 weeks
370.12698 .31417 (370*2π)/3941 weeks
371-.2143 .10744 (371*2π)/3941 weeks
372.05963 .61166 (372*2π)/3941 weeks
373-.10475 .53717 (373*2π)/3941 weeks
374.46492 .76757 (374*2π)/3941 weeks
375-.37792 .72829 (375*2π)/3941 weeks
3761.00138 1.11536 (376*2π)/3941 weeks
377.60065 -.01406 (377*2π)/3941 weeks
378-.33997 1.09231 (378*2π)/3941 weeks
3791.01779 .849 (379*2π)/3941 weeks
380-.44099 .35453 (380*2π)/3941 weeks
381.33448 1.01398 (381*2π)/3941 weeks
382.6333 .13113 (382*2π)/3941 weeks
383-.82105 .51179 (383*2π)/3941 weeks
384.56046 1.74728 (384*2π)/3941 weeks
385-.4311 1.22656 (385*2π)/3941 weeks
386-.02995 1.6633 (386*2π)/3941 weeks
387.19828 1.92114 (387*2π)/3941 weeks
388-.62589 1.997 (388*2π)/3941 weeks
3892.23593 3.00349 (389*2π)/3941 weeks
390-.22905 3.233 (390*2π)/3941 weeks
3914.39885 3.05298 (391*2π)/3941 weeks
3925.2939 3.1466 (392*2π)/3941 weeks