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Fourier Analysis of PDH (PetroLogistics LP Common Units )


PDH (PetroLogistics LP Common Units ) appears to have interesting cyclic behaviour every 18 weeks (.6699*sine), 21 weeks (.4907*cosine), and 27 weeks (.4898*cosine).

PDH (PetroLogistics LP Common Units ) has an average price of 4.56 (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 11/2/2010 to 1/9/2017 for PDH (PetroLogistics LP Common Units ), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
04.55772   0 
1-4.79862 4.77097 (1*2π)/299299 weeks
2.06871 -2.35912 (2*2π)/299150 weeks
3-.89956 -.69812 (3*2π)/299100 weeks
41.72269 -.005 (4*2π)/29975 weeks
5-.37741 -.11143 (5*2π)/29960 weeks
6.54003 1.0775 (6*2π)/29950 weeks
7-.70297 -.37419 (7*2π)/29943 weeks
8-.37297 .2683 (8*2π)/29937 weeks
9.37001 -.93432 (9*2π)/29933 weeks
10.07376 .40626 (10*2π)/29930 weeks
11.48982 .03584 (11*2π)/29927 weeks
12-.4735 .2528 (12*2π)/29925 weeks
13.16244 .15176 (13*2π)/29923 weeks
14-.4907 -.31287 (14*2π)/29921 weeks
15.20753 -.0922 (15*2π)/29920 weeks
16.38115 -.318 (16*2π)/29919 weeks
17.01382 .66991 (17*2π)/29918 weeks
18-.08273 -.08792 (18*2π)/29917 weeks
19-.44577 .06274 (19*2π)/29916 weeks
20.25876 -.31728 (20*2π)/29915 weeks
21-.07216 -.10196 (21*2π)/29914 weeks
22.41031 .16266 (22*2π)/29914 weeks
23-.13497 .12024 (23*2π)/29913 weeks
24-.18782 .25393 (24*2π)/29912 weeks
25-.1093 -.38389 (25*2π)/29912 weeks
26.02324 .01877 (26*2π)/29912 weeks
27.31166 -.14834 (27*2π)/29911 weeks
28-.05234 .26543 (28*2π)/29911 weeks
29.02524 .12519 (29*2π)/29910 weeks
30-.30273 -.10424 (30*2π)/29910 weeks
31.12875 -.0681 (31*2π)/29910 weeks
32.04535 -.13172 (32*2π)/2999 weeks
33.06638 .15395 (33*2π)/2999 weeks
34.09323 -.0152 (34*2π)/2999 weeks
35-.20088 .1599 (35*2π)/2999 weeks
36.08127 -.10147 (36*2π)/2998 weeks
37-.19847 -.0316 (37*2π)/2998 weeks
38.22408 -.0922 (38*2π)/2998 weeks
39.00382 .0117 (39*2π)/2998 weeks
40.07524 .20592 (40*2π)/2997 weeks
41-.16391 -.06017 (41*2π)/2997 weeks
42-.04742 .01526 (42*2π)/2997 weeks
43.04702 -.14185 (43*2π)/2997 weeks
44.01057 .00525 (44*2π)/2997 weeks
45.16117 .04759 (45*2π)/2997 weeks
46-.10564 .07706 (46*2π)/2997 weeks
47-.02871 .08051 (47*2π)/2996 weeks
48-.11742 -.17337 (48*2π)/2996 weeks
49.08484 .00399 (49*2π)/2996 weeks
50.11663 -.08372 (50*2π)/2996 weeks
51-.00676 .19333 (51*2π)/2996 weeks
52-.0195 -.01163 (52*2π)/2996 weeks
53-.12757 .00555 (53*2π)/2996 weeks
54.03911 -.06283 (54*2π)/2996 weeks
55.01441 -.10552 (55*2π)/2995 weeks
56.10709 .11164 (56*2π)/2995 weeks
57.01788 -.02534 (57*2π)/2995 weeks
58-.09572 .17735 (58*2π)/2995 weeks
59-.03523 -.15237 (59*2π)/2995 weeks
60-.06422 -.01398 (60*2π)/2995 weeks
61.19 -.08782 (61*2π)/2995 weeks
62-.03033 .10097 (62*2π)/2995 weeks
63.06335 .08836 (63*2π)/2995 weeks
64-.15854 -.01034 (64*2π)/2995 weeks
65-.01845 -.02387 (65*2π)/2995 weeks
66.04997 -.16728 (66*2π)/2995 weeks
67.09142 .11427 (67*2π)/2994 weeks
68.04555 .01865 (68*2π)/2994 weeks
69-.11602 .10237 (69*2π)/2994 weeks
70-.01756 -.05915 (70*2π)/2994 weeks
71-.05764 -.09426 (71*2π)/2994 weeks
72.1451 .0106 (72*2π)/2994 weeks
73-.00325 .00888 (73*2π)/2994 weeks
74.00059 .11146 (74*2π)/2994 weeks
75-.04508 -.0465 (75*2π)/2994 weeks
76-.07073 .0189 (76*2π)/2994 weeks
77.07149 -.10174 (77*2π)/2994 weeks
78.00018 .03516 (78*2π)/2994 weeks
79.07042 .02926 (79*2π)/2994 weeks
80-.05081 .01862 (80*2π)/2994 weeks
81-.01655 .06278 (81*2π)/2994 weeks
82-.05191 -.1077 (82*2π)/2994 weeks
83.02689 .02442 (83*2π)/2994 weeks
84.07185 -.06503 (84*2π)/2994 weeks
85-.01008 .10098 (85*2π)/2994 weeks
86.01361 .00634 (86*2π)/2993 weeks
87-.09981 -.00174 (87*2π)/2993 weeks
88.04444 -.02843 (88*2π)/2993 weeks
89-.02115 -.06504 (89*2π)/2993 weeks
90.08272 .04229 (90*2π)/2993 weeks
91.01356 .01311 (91*2π)/2993 weeks
92-.06005 .07784 (92*2π)/2993 weeks
93-.00804 -.05984 (93*2π)/2993 weeks
94-.048 -.0284 (94*2π)/2993 weeks
95.0984 -.02263 (95*2π)/2993 weeks
96-.00877 .0022 (96*2π)/2993 weeks
97.05441 .09903 (97*2π)/2993 weeks
98-.09283 -.02679 (98*2π)/2993 weeks
99-.02249 .01365 (99*2π)/2993 weeks
100.02086 -.10141 (100*2π)/2993 weeks
101.02665 .02901 (101*2π)/2993 weeks
102.0831 .00737 (102*2π)/2993 weeks
103-.05993 .07591 (103*2π)/2993 weeks
104-.0371 .0242 (104*2π)/2993 weeks
105-.05928 -.12997 (105*2π)/2993 weeks
106.09913 .03725 (106*2π)/2993 weeks
107.01154 -.04797 (107*2π)/2993 weeks
108.02394 .10716 (108*2π)/2993 weeks
109-.01577 -.01142 (109*2π)/2993 weeks
110-.1 .03014 (110*2π)/2993 weeks
111.04453 -.10499 (111*2π)/2993 weeks
112.01873 -.01406 (112*2π)/2993 weeks
113.09651 .0641 (113*2π)/2993 weeks
114-.06977 .0225 (114*2π)/2993 weeks
115-.01373 .051 (115*2π)/2993 weeks
116-.05603 -.08994 (116*2π)/2993 weeks
117.03225 -.01612 (117*2π)/2993 weeks
118.09268 -.02173 (118*2π)/2993 weeks
119-.03511 .0878 (119*2π)/2993 weeks
120.00935 .0032 (120*2π)/2992 weeks
121-.07144 -.0121 (121*2π)/2992 weeks
122.02207 -.01787 (122*2π)/2992 weeks
123.01453 -.06564 (123*2π)/2992 weeks
124.05456 .06212 (124*2π)/2992 weeks
125.0093 .00869 (125*2π)/2992 weeks
126-.06289 .04926 (126*2π)/2992 weeks
127.01538 -.03969 (127*2π)/2992 weeks
128-.04674 -.02619 (128*2π)/2992 weeks
129.08878 -.00466 (129*2π)/2992 weeks
130-.01438 .00155 (130*2π)/2992 weeks
131.02717 .07538 (131*2π)/2992 weeks
132-.05099 -.02767 (132*2π)/2992 weeks
133-.03214 .02359 (133*2π)/2992 weeks
134.03151 -.08274 (134*2π)/2992 weeks
135.01094 .03589 (135*2π)/2992 weeks
136.04888 .01267 (136*2π)/2992 weeks
137-.04068 .02574 (137*2π)/2992 weeks
138-.01267 .04943 (138*2π)/2992 weeks
139-.06483 -.09732 (139*2π)/2992 weeks
140.06727 .01172 (140*2π)/2992 weeks
141.03912 -.0157 (141*2π)/2992 weeks
142-.03882 .07905 (142*2π)/2992 weeks
143.02195 -.03269 (143*2π)/2992 weeks
144-.08008 .02216 (144*2π)/2992 weeks
145.05295 -.04765 (145*2π)/2992 weeks
146-.02374 -.01777 (146*2π)/2992 weeks
147.06433 .03882 (147*2π)/2992 weeks
148-.03493 -.00745 (148*2π)/2992 weeks
149-.00709 .04369 (149*2π)/2992 weeks
150-.00709 -.04369 (150*2π)/2992 weeks
151-.03493 .00745 (151*2π)/2992 weeks
152.06433 -.03882 (152*2π)/2992 weeks
153-.02374 .01777 (153*2π)/2992 weeks
154.05295 .04765 (154*2π)/2992 weeks
155-.08008 -.02216 (155*2π)/2992 weeks
156.02195 .03269 (156*2π)/2992 weeks
157-.03882 -.07905 (157*2π)/2992 weeks
158.03912 .0157 (158*2π)/2992 weeks
159.06727 -.01172 (159*2π)/2992 weeks
160-.06483 .09732 (160*2π)/2992 weeks
161-.01267 -.04943 (161*2π)/2992 weeks
162-.04068 -.02574 (162*2π)/2992 weeks
163.04888 -.01267 (163*2π)/2992 weeks
164.01094 -.03589 (164*2π)/2992 weeks
165.03151 .08274 (165*2π)/2992 weeks
166-.03214 -.02359 (166*2π)/2992 weeks
167-.05099 .02767 (167*2π)/2992 weeks
168.02717 -.07538 (168*2π)/2992 weeks
169-.01438 -.00155 (169*2π)/2992 weeks
170.08878 .00466 (170*2π)/2992 weeks
171-.04674 .02619 (171*2π)/2992 weeks
172.01538 .03969 (172*2π)/2992 weeks
173-.06289 -.04926 (173*2π)/2992 weeks
174.0093 -.00869 (174*2π)/2992 weeks
175.05456 -.06212 (175*2π)/2992 weeks
176.01453 .06564 (176*2π)/2992 weeks
177.02207 .01787 (177*2π)/2992 weeks
178-.07144 .0121 (178*2π)/2992 weeks
179.00935 -.0032 (179*2π)/2992 weeks
180-.03511 -.0878 (180*2π)/2992 weeks
181.09268 .02173 (181*2π)/2992 weeks
182.03225 .01612 (182*2π)/2992 weeks
183-.05603 .08994 (183*2π)/2992 weeks
184-.01373 -.051 (184*2π)/2992 weeks
185-.06977 -.0225 (185*2π)/2992 weeks
186.09651 -.0641 (186*2π)/2992 weeks
187.01873 .01406 (187*2π)/2992 weeks
188.04453 .10499 (188*2π)/2992 weeks
189-.1 -.03014 (189*2π)/2992 weeks
190-.01577 .01142 (190*2π)/2992 weeks
191.02394 -.10716 (191*2π)/2992 weeks
192.01154 .04797 (192*2π)/2992 weeks
193.09913 -.03725 (193*2π)/2992 weeks
194-.05928 .12997 (194*2π)/2992 weeks
195-.0371 -.0242 (195*2π)/2992 weeks
196-.05993 -.07591 (196*2π)/2992 weeks
197.0831 -.00737 (197*2π)/2992 weeks
198.02665 -.02901 (198*2π)/2992 weeks
199.02086 .10141 (199*2π)/2992 weeks
200-.02249 -.01365 (200*2π)/2991 weeks
201-.09283 .02679 (201*2π)/2991 weeks
202.05441 -.09903 (202*2π)/2991 weeks
203-.00877 -.0022 (203*2π)/2991 weeks
204.0984 .02263 (204*2π)/2991 weeks
205-.048 .0284 (205*2π)/2991 weeks
206-.00804 .05984 (206*2π)/2991 weeks
207-.06005 -.07784 (207*2π)/2991 weeks
208.01356 -.01311 (208*2π)/2991 weeks
209.08272 -.04229 (209*2π)/2991 weeks
210-.02115 .06504 (210*2π)/2991 weeks
211.04444 .02843 (211*2π)/2991 weeks
212-.09981 .00174 (212*2π)/2991 weeks
213.01361 -.00634 (213*2π)/2991 weeks
214-.01008 -.10098 (214*2π)/2991 weeks
215.07185 .06503 (215*2π)/2991 weeks
216.02689 -.02442 (216*2π)/2991 weeks
217-.05191 .1077 (217*2π)/2991 weeks
218-.01655 -.06278 (218*2π)/2991 weeks
219-.05081 -.01862 (219*2π)/2991 weeks
220.07042 -.02926 (220*2π)/2991 weeks
221.00018 -.03516 (221*2π)/2991 weeks
222.07149 .10174 (222*2π)/2991 weeks
223-.07073 -.0189 (223*2π)/2991 weeks
224-.04508 .0465 (224*2π)/2991 weeks
225.00059 -.11146 (225*2π)/2991 weeks
226-.00325 -.00888 (226*2π)/2991 weeks
227.1451 -.0106 (227*2π)/2991 weeks
228-.05764 .09426 (228*2π)/2991 weeks
229-.01756 .05915 (229*2π)/2991 weeks
230-.11602 -.10237 (230*2π)/2991 weeks
231.04555 -.01865 (231*2π)/2991 weeks
232.09142 -.11427 (232*2π)/2991 weeks
233.04997 .16728 (233*2π)/2991 weeks
234-.01845 .02387 (234*2π)/2991 weeks
235-.15854 .01034 (235*2π)/2991 weeks
236.06335 -.08836 (236*2π)/2991 weeks
237-.03033 -.10097 (237*2π)/2991 weeks
238.19 .08782 (238*2π)/2991 weeks
239-.06422 .01398 (239*2π)/2991 weeks
240-.03523 .15237 (240*2π)/2991 weeks
241-.09572 -.17735 (241*2π)/2991 weeks
242.01788 .02534 (242*2π)/2991 weeks
243.10709 -.11164 (243*2π)/2991 weeks
244.01441 .10552 (244*2π)/2991 weeks
245.03911 .06283 (245*2π)/2991 weeks
246-.12757 -.00555 (246*2π)/2991 weeks
247-.0195 .01163 (247*2π)/2991 weeks
248-.00676 -.19333 (248*2π)/2991 weeks
249.11663 .08372 (249*2π)/2991 weeks
250.08484 -.00399 (250*2π)/2991 weeks
251-.11742 .17337 (251*2π)/2991 weeks
252-.02871 -.08051 (252*2π)/2991 weeks
253-.10564 -.07706 (253*2π)/2991 weeks
254.16117 -.04759 (254*2π)/2991 weeks
255.01057 -.00525 (255*2π)/2991 weeks
256.04702 .14185 (256*2π)/2991 weeks
257-.04742 -.01526 (257*2π)/2991 weeks
258-.16391 .06017 (258*2π)/2991 weeks
259.07524 -.20592 (259*2π)/2991 weeks
260.00382 -.0117 (260*2π)/2991 weeks
261.22408 .0922 (261*2π)/2991 weeks
262-.19847 .0316 (262*2π)/2991 weeks
263.08127 .10147 (263*2π)/2991 weeks
264-.20088 -.1599 (264*2π)/2991 weeks
265.09323 .0152 (265*2π)/2991 weeks
266.06638 -.15395 (266*2π)/2991 weeks
267.04535 .13172 (267*2π)/2991 weeks
268.12875 .0681 (268*2π)/2991 weeks
269-.30273 .10424 (269*2π)/2991 weeks
270.02524 -.12519 (270*2π)/2991 weeks
271-.05234 -.26543 (271*2π)/2991 weeks
272.31166 .14834 (272*2π)/2991 weeks
273.02324 -.01877 (273*2π)/2991 weeks
274-.1093 .38389 (274*2π)/2991 weeks
275-.18782 -.25393 (275*2π)/2991 weeks
276-.13497 -.12024 (276*2π)/2991 weeks
277.41031 -.16266 (277*2π)/2991 weeks
278-.07216 .10196 (278*2π)/2991 weeks
279.25876 .31728 (279*2π)/2991 weeks
280-.44577 -.06274 (280*2π)/2991 weeks
281-.08273 .08792 (281*2π)/2991 weeks
282.01382 -.66991 (282*2π)/2991 weeks
283.38115 .318 (283*2π)/2991 weeks
284.20753 .0922 (284*2π)/2991 weeks
285-.4907 .31287 (285*2π)/2991 weeks
286.16244 -.15176 (286*2π)/2991 weeks
287-.4735 -.2528 (287*2π)/2991 weeks
288.48982 -.03584 (288*2π)/2991 weeks
289.07376 -.40626 (289*2π)/2991 weeks
290.37001 .93432 (290*2π)/2991 weeks
291-.37297 -.2683 (291*2π)/2991 weeks
292-.70297 .37419 (292*2π)/2991 weeks
293.54003 -1.0775 (293*2π)/2991 weeks
294-.37741 .11143 (294*2π)/2991 weeks
2951.72269 .005 (295*2π)/2991 weeks
296-.89956 .69812 (296*2π)/2991 weeks
297.06871 2.35912 (297*2π)/2991 weeks

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