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Fourier Analysis of PF (Pinnacle Foods, Inc. Common Sto)


PF (Pinnacle Foods, Inc. Common Sto) appears to have interesting cyclic behaviour every 21 weeks (1.2666*sine), 16 weeks (1.1643*sine), and 17 weeks (.8362*sine).

PF (Pinnacle Foods, Inc. Common Sto) has an average price of 36.43 (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 3/28/2013 to 3/13/2017 for PF (Pinnacle Foods, Inc. Common Sto), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
036.42862   0 
1-.08478 -10.8696 (1*2π)/208208 weeks
21.53885 -4.37536 (2*2π)/208104 weeks
3-.05537 -4.88673 (3*2π)/20869 weeks
4-.29833 -1.92306 (4*2π)/20852 weeks
5-.11092 -2.35276 (5*2π)/20842 weeks
6-.06121 -1.8381 (6*2π)/20835 weeks
7.64559 -1.50906 (7*2π)/20830 weeks
8.17719 -1.70362 (8*2π)/20826 weeks
9-.33885 -1.64438 (9*2π)/20823 weeks
10-.30238 -1.26659 (10*2π)/20821 weeks
11-.24769 -.7052 (11*2π)/20819 weeks
12.17948 -.83617 (12*2π)/20817 weeks
13-.10911 -1.16425 (13*2π)/20816 weeks
14-.20836 -.70885 (14*2π)/20815 weeks
15-.51213 -.6034 (15*2π)/20814 weeks
16.08671 -.74866 (16*2π)/20813 weeks
17-.12818 -.91578 (17*2π)/20812 weeks
18-.01618 -.58313 (18*2π)/20812 weeks
19-.12044 -.82064 (19*2π)/20811 weeks
20.06761 -.63724 (20*2π)/20810 weeks
21-.25556 -.74815 (21*2π)/20810 weeks
22-.24248 -.5608 (22*2π)/2089 weeks
23-.23252 -.52183 (23*2π)/2089 weeks
24-.26339 -.63012 (24*2π)/2089 weeks
25-.26724 -.52806 (25*2π)/2088 weeks
26-.26727 -.35335 (26*2π)/2088 weeks
27-.23708 -.32816 (27*2π)/2088 weeks
28-.05306 -.45209 (28*2π)/2087 weeks
29-.25947 -.22218 (29*2π)/2087 weeks
30.00792 -.36946 (30*2π)/2087 weeks
31-.20663 -.46429 (31*2π)/2087 weeks
32-.20236 -.3309 (32*2π)/2087 weeks
33-.37011 -.26126 (33*2π)/2086 weeks
34-.12646 -.26888 (34*2π)/2086 weeks
35-.1651 -.48225 (35*2π)/2086 weeks
36-.16875 -.2053 (36*2π)/2086 weeks
37-.13234 -.28287 (37*2π)/2086 weeks
38-.29695 -.22404 (38*2π)/2085 weeks
39-.03959 -.21143 (39*2π)/2085 weeks
40-.29895 -.27783 (40*2π)/2085 weeks
41-.29683 -.22363 (41*2π)/2085 weeks
42-.04707 -.22697 (42*2π)/2085 weeks
43-.27718 -.22132 (43*2π)/2085 weeks
44-.42693 -.18075 (44*2π)/2085 weeks
45-.05474 -.15797 (45*2π)/2085 weeks
46-.18436 -.28967 (46*2π)/2085 weeks
47-.30722 -.14088 (47*2π)/2084 weeks
48-.16006 -.24496 (48*2π)/2084 weeks
49-.09251 -.19936 (49*2π)/2084 weeks
50-.10796 -.1674 (50*2π)/2084 weeks
51-.1839 -.18361 (51*2π)/2084 weeks
52-.12175 -.35555 (52*2π)/2084 weeks
53-.30644 -.15695 (53*2π)/2084 weeks
54-.27077 -.09907 (54*2π)/2084 weeks
55-.12068 -.23713 (55*2π)/2084 weeks
56-.16969 -.04269 (56*2π)/2084 weeks
57-.14782 -.17087 (57*2π)/2084 weeks
58-.22694 -.12408 (58*2π)/2084 weeks
59-.13377 -.11025 (59*2π)/2084 weeks
60-.07756 -.13171 (60*2π)/2083 weeks
61-.11871 -.16429 (61*2π)/2083 weeks
62-.19872 -.18433 (62*2π)/2083 weeks
63-.12312 -.18917 (63*2π)/2083 weeks
64-.22694 -.14635 (64*2π)/2083 weeks
65-.29285 -.0244 (65*2π)/2083 weeks
66-.14387 -.15368 (66*2π)/2083 weeks
67-.22901 -.12632 (67*2π)/2083 weeks
68-.25481 -.0954 (68*2π)/2083 weeks
69-.11791 -.11271 (69*2π)/2083 weeks
70-.14366 -.08469 (70*2π)/2083 weeks
71-.19167 -.06101 (71*2π)/2083 weeks
72-.17717 -.08799 (72*2π)/2083 weeks
73-.13237 -.15432 (73*2π)/2083 weeks
74-.18299 -.14204 (74*2π)/2083 weeks
75-.22058 -.20202 (75*2π)/2083 weeks
76-.32116 -.04763 (76*2π)/2083 weeks
77-.19565 -.0901 (77*2π)/2083 weeks
78-.28512 -.02147 (78*2π)/2083 weeks
79-.23253 -.06194 (79*2π)/2083 weeks
80-.19646 -.13487 (80*2π)/2083 weeks
81-.1687 .04013 (81*2π)/2083 weeks
82-.23498 -.01067 (82*2π)/2083 weeks
83-.18873 -.06809 (83*2π)/2083 weeks
84-.17586 -.03768 (84*2π)/2082 weeks
85-.26032 -.03893 (85*2π)/2082 weeks
86-.15914 -.05501 (86*2π)/2082 weeks
87-.24989 -.15826 (87*2π)/2082 weeks
88-.1944 -.08091 (88*2π)/2082 weeks
89-.24393 -.05901 (89*2π)/2082 weeks
90-.24345 -.0067 (90*2π)/2082 weeks
91-.20391 .01013 (91*2π)/2082 weeks
92-.14288 .07657 (92*2π)/2082 weeks
93-.16444 .06124 (93*2π)/2082 weeks
94-.15804 -.02012 (94*2π)/2082 weeks
95-.21827 -.04609 (95*2π)/2082 weeks
96-.20487 -.0073 (96*2π)/2082 weeks
97-.23106 -.00044 (97*2π)/2082 weeks
98-.24157 -.03748 (98*2π)/2082 weeks
99-.1473 .03511 (99*2π)/2082 weeks
100-.24536 -.03708 (100*2π)/2082 weeks
101-.23981 .04665 (101*2π)/2082 weeks
102-.1394 -.08866 (102*2π)/2082 weeks
103-.24775 .00298 (103*2π)/2082 weeks
104-.2266   (104*2π)/2082 weeks
105-.24775 -.00298 (105*2π)/2082 weeks
106-.1394 .08866 (106*2π)/2082 weeks
107-.23981 -.04665 (107*2π)/2082 weeks
108-.24536 .03708 (108*2π)/2082 weeks
109-.1473 -.03511 (109*2π)/2082 weeks
110-.24157 .03748 (110*2π)/2082 weeks
111-.23106 .00044 (111*2π)/2082 weeks
112-.20487 .0073 (112*2π)/2082 weeks
113-.21827 .04609 (113*2π)/2082 weeks
114-.15804 .02012 (114*2π)/2082 weeks
115-.16444 -.06124 (115*2π)/2082 weeks
116-.14288 -.07657 (116*2π)/2082 weeks
117-.20391 -.01013 (117*2π)/2082 weeks
118-.24345 .0067 (118*2π)/2082 weeks
119-.24393 .05901 (119*2π)/2082 weeks
120-.1944 .08091 (120*2π)/2082 weeks
121-.24989 .15826 (121*2π)/2082 weeks
122-.15914 .05501 (122*2π)/2082 weeks
123-.26032 .03893 (123*2π)/2082 weeks
124-.17586 .03768 (124*2π)/2082 weeks
125-.18873 .06809 (125*2π)/2082 weeks
126-.23498 .01067 (126*2π)/2082 weeks
127-.1687 -.04013 (127*2π)/2082 weeks
128-.19646 .13487 (128*2π)/2082 weeks
129-.23253 .06194 (129*2π)/2082 weeks
130-.28512 .02147 (130*2π)/2082 weeks
131-.19565 .0901 (131*2π)/2082 weeks
132-.32116 .04763 (132*2π)/2082 weeks
133-.22058 .20202 (133*2π)/2082 weeks
134-.18299 .14204 (134*2π)/2082 weeks
135-.13237 .15432 (135*2π)/2082 weeks
136-.17717 .08799 (136*2π)/2082 weeks
137-.19167 .06101 (137*2π)/2082 weeks
138-.14366 .08469 (138*2π)/2082 weeks
139-.11791 .11271 (139*2π)/2081 weeks
140-.25481 .0954 (140*2π)/2081 weeks
141-.22901 .12632 (141*2π)/2081 weeks
142-.14387 .15368 (142*2π)/2081 weeks
143-.29285 .0244 (143*2π)/2081 weeks
144-.22694 .14635 (144*2π)/2081 weeks
145-.12312 .18917 (145*2π)/2081 weeks
146-.19872 .18433 (146*2π)/2081 weeks
147-.11871 .16429 (147*2π)/2081 weeks
148-.07756 .13171 (148*2π)/2081 weeks
149-.13377 .11025 (149*2π)/2081 weeks
150-.22694 .12408 (150*2π)/2081 weeks
151-.14782 .17087 (151*2π)/2081 weeks
152-.16969 .04269 (152*2π)/2081 weeks
153-.12068 .23713 (153*2π)/2081 weeks
154-.27077 .09907 (154*2π)/2081 weeks
155-.30644 .15695 (155*2π)/2081 weeks
156-.12175 .35555 (156*2π)/2081 weeks
157-.1839 .18361 (157*2π)/2081 weeks
158-.10796 .1674 (158*2π)/2081 weeks
159-.09251 .19936 (159*2π)/2081 weeks
160-.16006 .24496 (160*2π)/2081 weeks
161-.30722 .14088 (161*2π)/2081 weeks
162-.18436 .28967 (162*2π)/2081 weeks
163-.05474 .15797 (163*2π)/2081 weeks
164-.42693 .18075 (164*2π)/2081 weeks
165-.27718 .22132 (165*2π)/2081 weeks
166-.04707 .22697 (166*2π)/2081 weeks
167-.29683 .22363 (167*2π)/2081 weeks
168-.29895 .27783 (168*2π)/2081 weeks
169-.03959 .21143 (169*2π)/2081 weeks
170-.29695 .22404 (170*2π)/2081 weeks
171-.13234 .28287 (171*2π)/2081 weeks
172-.16875 .2053 (172*2π)/2081 weeks
173-.1651 .48225 (173*2π)/2081 weeks
174-.12646 .26888 (174*2π)/2081 weeks
175-.37011 .26126 (175*2π)/2081 weeks
176-.20236 .3309 (176*2π)/2081 weeks
177-.20663 .46429 (177*2π)/2081 weeks
178.00792 .36946 (178*2π)/2081 weeks
179-.25947 .22218 (179*2π)/2081 weeks
180-.05306 .45209 (180*2π)/2081 weeks
181-.23708 .32816 (181*2π)/2081 weeks
182-.26727 .35335 (182*2π)/2081 weeks
183-.26724 .52806 (183*2π)/2081 weeks
184-.26339 .63012 (184*2π)/2081 weeks
185-.23252 .52183 (185*2π)/2081 weeks
186-.24248 .5608 (186*2π)/2081 weeks
187-.25556 .74815 (187*2π)/2081 weeks
188.06761 .63724 (188*2π)/2081 weeks
189-.12044 .82064 (189*2π)/2081 weeks
190-.01618 .58313 (190*2π)/2081 weeks
191-.12818 .91578 (191*2π)/2081 weeks
192.08671 .74866 (192*2π)/2081 weeks
193-.51213 .6034 (193*2π)/2081 weeks
194-.20836 .70885 (194*2π)/2081 weeks
195-.10911 1.16425 (195*2π)/2081 weeks
196.17948 .83617 (196*2π)/2081 weeks
197-.24769 .7052 (197*2π)/2081 weeks
198-.30238 1.26659 (198*2π)/2081 weeks
199-.33885 1.64438 (199*2π)/2081 weeks
200.17719 1.70362 (200*2π)/2081 weeks
201.64559 1.50906 (201*2π)/2081 weeks
202-.06121 1.8381 (202*2π)/2081 weeks
203-.11092 2.35276 (203*2π)/2081 weeks
204-.29833 1.92306 (204*2π)/2081 weeks
205-.05537 4.88673 (205*2π)/2081 weeks
2061.53885 4.37536 (206*2π)/2081 weeks

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