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Fourier Analysis of NGVC (Natural Grocers by Vitamin Cott)


NGVC (Natural Grocers by Vitamin Cott) appears to have interesting cyclic behaviour every 20 weeks (1.0886*sine), 12 weeks (.7413*cosine), and 5 weeks (.2988*cosine).

NGVC (Natural Grocers by Vitamin Cott) has an average price of 23.5 (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 7/25/2012 to 3/20/2017 for NGVC (Natural Grocers by Vitamin Cott), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
023.49685   0 
1-5.35364 7.41414 (1*2π)/244244 weeks
2-5.10864 1.82734 (2*2π)/244122 weeks
32.64768 -2.52803 (3*2π)/24481 weeks
41.14002 2.82914 (4*2π)/24461 weeks
5-.11124 -.96792 (5*2π)/24449 weeks
6.57122 1.67441 (6*2π)/24441 weeks
7-.87 .34553 (7*2π)/24435 weeks
8-.42158 .28863 (8*2π)/24431 weeks
91.00178 .16603 (9*2π)/24427 weeks
10-.73075 .5715 (10*2π)/24424 weeks
11-.15931 -.29058 (11*2π)/24422 weeks
12-.19979 1.08864 (12*2π)/24420 weeks
13-.39973 .00273 (13*2π)/24419 weeks
14.54185 -.0499 (14*2π)/24417 weeks
15-.52862 .17964 (15*2π)/24416 weeks
16-.17052 -.28953 (16*2π)/24415 weeks
17.13578 .52612 (17*2π)/24414 weeks
18-.37397 .35829 (18*2π)/24414 weeks
19.3813 -.29175 (19*2π)/24413 weeks
20.31891 .34246 (20*2π)/24412 weeks
21-.74133 .1449 (21*2π)/24412 weeks
22.19222 .00019 (22*2π)/24411 weeks
23.25285 -.08786 (23*2π)/24411 weeks
24.24528 -.15504 (24*2π)/24410 weeks
25-.0461 .00778 (25*2π)/24410 weeks
26.25039 .40343 (26*2π)/2449 weeks
27-.08949 .10567 (27*2π)/2449 weeks
28.12974 .06436 (28*2π)/2449 weeks
29.22733 .00583 (29*2π)/2448 weeks
30.07419 .37469 (30*2π)/2448 weeks
31-.16486 .32769 (31*2π)/2448 weeks
32-.18495 -.02333 (32*2π)/2448 weeks
33.25466 -.04651 (33*2π)/2447 weeks
34.04813 .08936 (34*2π)/2447 weeks
35.17664 -.04948 (35*2π)/2447 weeks
36-.1448 .22365 (36*2π)/2447 weeks
37-.11983 .01137 (37*2π)/2447 weeks
38.12699 .13916 (38*2π)/2446 weeks
39.02468 -.0159 (39*2π)/2446 weeks
40.06428 -.00997 (40*2π)/2446 weeks
41-.04422 .0545 (41*2π)/2446 weeks
42.16158 .1176 (42*2π)/2446 weeks
43.19792 .11615 (43*2π)/2446 weeks
44-.12969 -.0192 (44*2π)/2446 weeks
45.12738 .0773 (45*2π)/2445 weeks
46.1 .07399 (46*2π)/2445 weeks
47.13906 .22403 (47*2π)/2445 weeks
48.29879 .05291 (48*2π)/2445 weeks
49-.05225 .12028 (49*2π)/2445 weeks
50.01642 -.00046 (50*2π)/2445 weeks
51.10383 .00291 (51*2π)/2445 weeks
52.11686 .01192 (52*2π)/2445 weeks
53-.04225 .01533 (53*2π)/2445 weeks
54.21843 -.01269 (54*2π)/2445 weeks
55-.0715 .10021 (55*2π)/2444 weeks
56.00425 -.04029 (56*2π)/2444 weeks
57.15297 .0614 (57*2π)/2444 weeks
58.0238 .13007 (58*2π)/2444 weeks
59.17696 .02131 (59*2π)/2444 weeks
60-.07111 .11607 (60*2π)/2444 weeks
61-.0909 .08262 (61*2π)/2444 weeks
62.10252 .10324 (62*2π)/2444 weeks
63.05883 .034 (63*2π)/2444 weeks
64.05388 -.17584 (64*2π)/2444 weeks
65.12219 .19105 (65*2π)/2444 weeks
66-.08741 .07528 (66*2π)/2444 weeks
67-.01078 .03891 (67*2π)/2444 weeks
68-.00338 .06135 (68*2π)/2444 weeks
69-.09334 -.13983 (69*2π)/2444 weeks
70.19374 .12683 (70*2π)/2443 weeks
71-.07185 .0885 (71*2π)/2443 weeks
72-.06043 -.08463 (72*2π)/2443 weeks
73.26958 .09462 (73*2π)/2443 weeks
74-.05101 -.01259 (74*2π)/2443 weeks
75.05459 .05466 (75*2π)/2443 weeks
76-.04568 .12088 (76*2π)/2443 weeks
77.01015 -.00793 (77*2π)/2443 weeks
78.2266 .00931 (78*2π)/2443 weeks
79.00725 .18903 (79*2π)/2443 weeks
80-.12219 .0267 (80*2π)/2443 weeks
81-.17889 .06486 (81*2π)/2443 weeks
82.02259 -.11903 (82*2π)/2443 weeks
83.21511 -.1023 (83*2π)/2443 weeks
84-.02912 .13537 (84*2π)/2443 weeks
85-.08635 -.05055 (85*2π)/2443 weeks
86.05436 -.10144 (86*2π)/2443 weeks
87.13961 .07986 (87*2π)/2443 weeks
88-.03601 -.06373 (88*2π)/2443 weeks
89.10386 .08303 (89*2π)/2443 weeks
90.0186 -.07074 (90*2π)/2443 weeks
91.08507 .01428 (91*2π)/2443 weeks
92.05714 .14226 (92*2π)/2443 weeks
93.0004 -.05806 (93*2π)/2443 weeks
94.04084 -.00337 (94*2π)/2443 weeks
95.10215 .14724 (95*2π)/2443 weeks
96-.06566 -.02619 (96*2π)/2443 weeks
97.03095 .22359 (97*2π)/2443 weeks
98-.05657 -.21731 (98*2π)/2442 weeks
99.20977 -.15962 (99*2π)/2442 weeks
100.08943 .23695 (100*2π)/2442 weeks
101-.02651 .06576 (101*2π)/2442 weeks
102.07591 -.0016 (102*2π)/2442 weeks
103.05919 .0466 (103*2π)/2442 weeks
104.08722 .02877 (104*2π)/2442 weeks
105.02755 .08367 (105*2π)/2442 weeks
106-.10153 .12514 (106*2π)/2442 weeks
107.2183 -.06666 (107*2π)/2442 weeks
108.05 .08342 (108*2π)/2442 weeks
109-.04192 .11012 (109*2π)/2442 weeks
110.05141 -.0551 (110*2π)/2442 weeks
111.02577 .04282 (111*2π)/2442 weeks
112-.00801 -.03249 (112*2π)/2442 weeks
113.0923 -.10683 (113*2π)/2442 weeks
114-.05318 -.03964 (114*2π)/2442 weeks
115.11249 -.06326 (115*2π)/2442 weeks
116.02758 .08216 (116*2π)/2442 weeks
117.01055 -.02789 (117*2π)/2442 weeks
118.12722 -.02773 (118*2π)/2442 weeks
119.05661 -.05449 (119*2π)/2442 weeks
120.07271 .08378 (120*2π)/2442 weeks
121.09182 .16757 (121*2π)/2442 weeks
122-.09189   (122*2π)/2442 weeks
123.09182 -.16757 (123*2π)/2442 weeks
124.07271 -.08378 (124*2π)/2442 weeks
125.05661 .05449 (125*2π)/2442 weeks
126.12722 .02773 (126*2π)/2442 weeks
127.01055 .02789 (127*2π)/2442 weeks
128.02758 -.08216 (128*2π)/2442 weeks
129.11249 .06326 (129*2π)/2442 weeks
130-.05318 .03964 (130*2π)/2442 weeks
131.0923 .10683 (131*2π)/2442 weeks
132-.00801 .03249 (132*2π)/2442 weeks
133.02577 -.04282 (133*2π)/2442 weeks
134.05141 .0551 (134*2π)/2442 weeks
135-.04192 -.11012 (135*2π)/2442 weeks
136.05 -.08342 (136*2π)/2442 weeks
137.2183 .06666 (137*2π)/2442 weeks
138-.10153 -.12514 (138*2π)/2442 weeks
139.02755 -.08367 (139*2π)/2442 weeks
140.08722 -.02877 (140*2π)/2442 weeks
141.05919 -.0466 (141*2π)/2442 weeks
142.07591 .0016 (142*2π)/2442 weeks
143-.02651 -.06576 (143*2π)/2442 weeks
144.08943 -.23695 (144*2π)/2442 weeks
145.20977 .15962 (145*2π)/2442 weeks
146-.05657 .21731 (146*2π)/2442 weeks
147.03095 -.22359 (147*2π)/2442 weeks
148-.06566 .02619 (148*2π)/2442 weeks
149.10215 -.14724 (149*2π)/2442 weeks
150.04084 .00337 (150*2π)/2442 weeks
151.0004 .05806 (151*2π)/2442 weeks
152.05714 -.14226 (152*2π)/2442 weeks
153.08507 -.01428 (153*2π)/2442 weeks
154.0186 .07074 (154*2π)/2442 weeks
155.10386 -.08303 (155*2π)/2442 weeks
156-.03601 .06373 (156*2π)/2442 weeks
157.13961 -.07986 (157*2π)/2442 weeks
158.05436 .10144 (158*2π)/2442 weeks
159-.08635 .05055 (159*2π)/2442 weeks
160-.02912 -.13537 (160*2π)/2442 weeks
161.21511 .1023 (161*2π)/2442 weeks
162.02259 .11903 (162*2π)/2442 weeks
163-.17889 -.06486 (163*2π)/2441 weeks
164-.12219 -.0267 (164*2π)/2441 weeks
165.00725 -.18903 (165*2π)/2441 weeks
166.2266 -.00931 (166*2π)/2441 weeks
167.01015 .00793 (167*2π)/2441 weeks
168-.04568 -.12088 (168*2π)/2441 weeks
169.05459 -.05466 (169*2π)/2441 weeks
170-.05101 .01259 (170*2π)/2441 weeks
171.26958 -.09462 (171*2π)/2441 weeks
172-.06043 .08463 (172*2π)/2441 weeks
173-.07185 -.0885 (173*2π)/2441 weeks
174.19374 -.12683 (174*2π)/2441 weeks
175-.09334 .13983 (175*2π)/2441 weeks
176-.00338 -.06135 (176*2π)/2441 weeks
177-.01078 -.03891 (177*2π)/2441 weeks
178-.08741 -.07528 (178*2π)/2441 weeks
179.12219 -.19105 (179*2π)/2441 weeks
180.05388 .17584 (180*2π)/2441 weeks
181.05883 -.034 (181*2π)/2441 weeks
182.10252 -.10324 (182*2π)/2441 weeks
183-.0909 -.08262 (183*2π)/2441 weeks
184-.07111 -.11607 (184*2π)/2441 weeks
185.17696 -.02131 (185*2π)/2441 weeks
186.0238 -.13007 (186*2π)/2441 weeks
187.15297 -.0614 (187*2π)/2441 weeks
188.00425 .04029 (188*2π)/2441 weeks
189-.0715 -.10021 (189*2π)/2441 weeks
190.21843 .01269 (190*2π)/2441 weeks
191-.04225 -.01533 (191*2π)/2441 weeks
192.11686 -.01192 (192*2π)/2441 weeks
193.10383 -.00291 (193*2π)/2441 weeks
194.01642 .00046 (194*2π)/2441 weeks
195-.05225 -.12028 (195*2π)/2441 weeks
196.29879 -.05291 (196*2π)/2441 weeks
197.13906 -.22403 (197*2π)/2441 weeks
198.1 -.07399 (198*2π)/2441 weeks
199.12738 -.0773 (199*2π)/2441 weeks
200-.12969 .0192 (200*2π)/2441 weeks
201.19792 -.11615 (201*2π)/2441 weeks
202.16158 -.1176 (202*2π)/2441 weeks
203-.04422 -.0545 (203*2π)/2441 weeks
204.06428 .00997 (204*2π)/2441 weeks
205.02468 .0159 (205*2π)/2441 weeks
206.12699 -.13916 (206*2π)/2441 weeks
207-.11983 -.01137 (207*2π)/2441 weeks
208-.1448 -.22365 (208*2π)/2441 weeks
209.17664 .04948 (209*2π)/2441 weeks
210.04813 -.08936 (210*2π)/2441 weeks
211.25466 .04651 (211*2π)/2441 weeks
212-.18495 .02333 (212*2π)/2441 weeks
213-.16486 -.32769 (213*2π)/2441 weeks
214.07419 -.37469 (214*2π)/2441 weeks
215.22733 -.00583 (215*2π)/2441 weeks
216.12974 -.06436 (216*2π)/2441 weeks
217-.08949 -.10567 (217*2π)/2441 weeks
218.25039 -.40343 (218*2π)/2441 weeks
219-.0461 -.00778 (219*2π)/2441 weeks
220.24528 .15504 (220*2π)/2441 weeks
221.25285 .08786 (221*2π)/2441 weeks
222.19222 -.00019 (222*2π)/2441 weeks
223-.74133 -.1449 (223*2π)/2441 weeks
224.31891 -.34246 (224*2π)/2441 weeks
225.3813 .29175 (225*2π)/2441 weeks
226-.37397 -.35829 (226*2π)/2441 weeks
227.13578 -.52612 (227*2π)/2441 weeks
228-.17052 .28953 (228*2π)/2441 weeks
229-.52862 -.17964 (229*2π)/2441 weeks
230.54185 .0499 (230*2π)/2441 weeks
231-.39973 -.00273 (231*2π)/2441 weeks
232-.19979 -1.08864 (232*2π)/2441 weeks
233-.15931 .29058 (233*2π)/2441 weeks
234-.73075 -.5715 (234*2π)/2441 weeks
2351.00178 -.16603 (235*2π)/2441 weeks
236-.42158 -.28863 (236*2π)/2441 weeks
237-.87 -.34553 (237*2π)/2441 weeks
238.57122 -1.67441 (238*2π)/2441 weeks
239-.11124 .96792 (239*2π)/2441 weeks
2401.14002 -2.82914 (240*2π)/2441 weeks
2412.64768 2.52803 (241*2π)/2441 weeks
242-5.10864 -1.82734 (242*2π)/2441 weeks

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