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Fourier Analysis of PDC (PDC Energy, Inc.)


PDC (PDC Energy, Inc.) appears to have interesting cyclic behaviour every 26 weeks (237.101*sine), 34 weeks (224.7895*sine), and 24 weeks (165.3053*cosine).

PDC (PDC Energy, Inc.) has an average price of 1,822.32 (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 2/27/2007 to 1/9/2017 for PDC (PDC Energy, Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
01,822.323   0 
11,510.04 -2,661.616 (1*2π)/336336 weeks
2-958.7428 -1,588.404 (2*2π)/336168 weeks
3-556.3971 61.6015 (3*2π)/336112 weeks
4203.0264 -190.369 (4*2π)/33684 weeks
5-158.8167 -422.2629 (5*2π)/33667 weeks
6-229.2385 -45.72702 (6*2π)/33656 weeks
7-16.9368 5.88628 (7*2π)/33648 weeks
812.73646 9.96253 (8*2π)/33642 weeks
9172.639 -4.94597 (9*2π)/33637 weeks
10147.0249 -224.7895 (10*2π)/33634 weeks
11-47.13285 -159.6057 (11*2π)/33631 weeks
1271.98471 -50.46922 (12*2π)/33628 weeks
1367.93567 -237.101 (13*2π)/33626 weeks
14-165.3053 -153.2578 (14*2π)/33624 weeks
15-41.68865 73.82841 (15*2π)/33622 weeks
16123.0062 -64.06976 (16*2π)/33621 weeks
17-14.24831 -144.9661 (17*2π)/33620 weeks
18-23.44538 -25.84166 (18*2π)/33619 weeks
1951.14962 -60.02854 (19*2π)/33618 weeks
20-.2291 -74.5528 (20*2π)/33617 weeks
2145.02304 -28.24285 (21*2π)/33616 weeks
2273.50435 -113.7147 (22*2π)/33615 weeks
23-11.70393 -117.368 (23*2π)/33615 weeks
2425.90152 -75.70189 (24*2π)/33614 weeks
2510.93223 -170.8921 (25*2π)/33613 weeks
26-131.541 -114.9747 (26*2π)/33613 weeks
27-57.49836 31.38448 (27*2π)/33612 weeks
2846.72386 -60.69551 (28*2π)/33612 weeks
29-69.54623 -108.3986 (29*2π)/33612 weeks
30-73.50157 21.44395 (30*2π)/33611 weeks
3143.24995 .86497 (31*2π)/33611 weeks
328.18897 -80.96732 (32*2π)/33611 weeks
33-34.88941 -41.42259 (33*2π)/33610 weeks
34-4.54071 -28.70965 (34*2π)/33610 weeks
35-6.84192 -41.75248 (35*2π)/33610 weeks
363.42988 -44.26111 (36*2π)/3369 weeks
37-21.19624 -77.26743 (37*2π)/3369 weeks
38-73.17415 -24.68796 (38*2π)/3369 weeks
394.69834 32.87824 (39*2π)/3369 weeks
4047.86055 -61.78695 (40*2π)/3368 weeks
41-58.56475 -79.5221 (41*2π)/3368 weeks
42-51.1824 28.34687 (42*2π)/3368 weeks
4340.11081 4.65438 (43*2π)/3368 weeks
449.56756 -52.48241 (44*2π)/3368 weeks
45-2.80769 -17.95145 (45*2π)/3367 weeks
4635.4563 -45.91994 (46*2π)/3367 weeks
47-13.50858 -86.6832 (47*2π)/3367 weeks
48-52.25017 -43.21721 (48*2π)/3367 weeks
49-35.95764 -15.77173 (49*2π)/3367 weeks
50-25.60161 6.0797 (50*2π)/3367 weeks
5133.82851 13.34113 (51*2π)/3367 weeks
5253.65968 -73.62579 (52*2π)/3366 weeks
53-43.81056 -100.0958 (53*2π)/3366 weeks
54-67.47227 -13.29881 (54*2π)/3366 weeks
55-8.71135 -4.35686 (55*2π)/3366 weeks
56-22.25336 -30.5125 (56*2π)/3366 weeks
57-22.69324 5.19576 (57*2π)/3366 weeks
5823.40919 -7.0273 (58*2π)/3366 weeks
5910.62363 -46.5304 (59*2π)/3366 weeks
60-6.65805 -39.57875 (60*2π)/3366 weeks
61-4.70097 -50.6053 (61*2π)/3366 weeks
62-35.41543 -53.083 (62*2π)/3365 weeks
63-36.97535 -22.66063 (63*2π)/3365 weeks
64-24.1245 -28.90387 (64*2π)/3365 weeks
65-43.68779 -19.04564 (65*2π)/3365 weeks
66-14.95937 10.06254 (66*2π)/3365 weeks
6711.26426 -32.1855 (67*2π)/3365 weeks
68-40.45182 -45.11875 (68*2π)/3365 weeks
69-34.76027 9.98424 (69*2π)/3365 weeks
7017.63105 -15.88987 (70*2π)/3365 weeks
71-23.6169 -63.43861 (71*2π)/3365 weeks
72-65.66116 -19.40466 (72*2π)/3365 weeks
73-35.60259 15.16798 (73*2π)/3365 weeks
74-14.47341 10.20965 (74*2π)/3365 weeks
755.63232 4.57261 (75*2π)/3364 weeks
7610.75502 -34.52526 (76*2π)/3364 weeks
77-37.95466 -44.40786 (77*2π)/3364 weeks
78-46.72625 1.5538 (78*2π)/3364 weeks
79-17.69752 4.38796 (79*2π)/3364 weeks
80-29.40022 2.12657 (80*2π)/3364 weeks
81-7.2934 34.01982 (81*2π)/3364 weeks
8241.97269 1.29109 (82*2π)/3364 weeks
8315.24669 -51.96766 (83*2π)/3364 weeks
84-22.98196 -41.70021 (84*2π)/3364 weeks
85-29.87173 -32.69792 (85*2π)/3364 weeks
86-52.33692 -15.37605 (86*2π)/3364 weeks
87-33.18184 28.36727 (87*2π)/3364 weeks
8814.00286 11.74217 (88*2π)/3364 weeks
89-.57752 -21.71293 (89*2π)/3364 weeks
90-11.49983 -7.00955 (90*2π)/3364 weeks
914.99455 -18.04918 (91*2π)/3364 weeks
92-19.49033 -32.84121 (92*2π)/3364 weeks
93-25.75921 -5.50832 (93*2π)/3364 weeks
94-2.54181 -14.04655 (94*2π)/3364 weeks
95-26.07684 -31.12354 (95*2π)/3364 weeks
96-36.68185 -1.31568 (96*2π)/3364 weeks
97-12.31787 -.70695 (97*2π)/3363 weeks
98-24.93616 -12.1956 (98*2π)/3363 weeks
99-23.17057 11.6016 (99*2π)/3363 weeks
1003.86295 -1.97458 (100*2π)/3363 weeks
101-19.90329 -22.99893 (101*2π)/3363 weeks
102-30.14437 8.13679 (102*2π)/3363 weeks
1031.82279 6.99311 (103*2π)/3363 weeks
104-9.36757 -18.97487 (104*2π)/3363 weeks
105-23.83195 -1.77783 (105*2π)/3363 weeks
106-6.37021 -.89167 (106*2π)/3363 weeks
107-18.39616 -12.78118 (107*2π)/3363 weeks
108-22.4082 8.52417 (108*2π)/3363 weeks
109-1.11413 4.13376 (109*2π)/3363 weeks
110-14.38175 -7.95062 (110*2π)/3363 weeks
111-11.58553 13.7916 (111*2π)/3363 weeks
11214.91158 -3.12486 (112*2π)/3363 weeks
113-12.95123 -26.54719 (113*2π)/3363 weeks
114-25.96094 9.15092 (114*2π)/3363 weeks
11513.61201 9.71676 (115*2π)/3363 weeks
1164.32618 -28.44659 (116*2π)/3363 weeks
117-24.73356 -14.59514 (117*2π)/3363 weeks
118-10.93094 .76059 (118*2π)/3363 weeks
119-10.23702 -9.12124 (119*2π)/3363 weeks
120-13.18537 .43442 (120*2π)/3363 weeks
121-.11405 -5.09422 (121*2π)/3363 weeks
122-14.1712 -13.34242 (122*2π)/3363 weeks
123-11.37737 7.38293 (123*2π)/3363 weeks
12413.7003 -9.25147 (124*2π)/3363 weeks
125-13.57461 -34.32983 (125*2π)/3363 weeks
126-32.68284 -2.94015 (126*2π)/3363 weeks
127-4.56146 4.70116 (127*2π)/3363 weeks
128-11.35935 -13.64172 (128*2π)/3363 weeks
129-15.4198 7.25136 (129*2π)/3363 weeks
13016.58021 -4.78556 (130*2π)/3363 weeks
131-7.80409 -44.37968 (131*2π)/3363 weeks
132-48.23505 -15.76379 (132*2π)/3363 weeks
133-24.79298 17.2555 (133*2π)/3363 weeks
134-6.13891 4.5211 (134*2π)/3363 weeks
135-6.75779 1.69975 (135*2π)/3362 weeks
136.79792 -8.968 (136*2π)/3362 weeks
137-19.96185 -19.10535 (137*2π)/3362 weeks
138-25.12367 8.61303 (138*2π)/3362 weeks
1394.51484 3.72521 (139*2π)/3362 weeks
140-13.27654 -21.08443 (140*2π)/3362 weeks
141-28.51668 10.69414 (141*2π)/3362 weeks
14214.19499 15.13648 (142*2π)/3362 weeks
1439.9427 -32.03618 (143*2π)/3362 weeks
144-33.04936 -22.46122 (144*2π)/3362 weeks
145-20.77381 9.71449 (145*2π)/3362 weeks
146-.52349 -1.18945 (146*2π)/3362 weeks
147-4.3792 -12.47732 (147*2π)/3362 weeks
148-10.43808 -21.60333 (148*2π)/3362 weeks
149-35.40306 -17.8195 (149*2π)/3362 weeks
150-31.70906 19.40488 (150*2π)/3362 weeks
1519.88861 13.03883 (151*2π)/3362 weeks
152-1.09375 -23.24179 (152*2π)/3362 weeks
153-21.5935 -5.87091 (153*2π)/3362 weeks
1544.05044 -7.46781 (154*2π)/3362 weeks
155-18.08546 -42.85366 (155*2π)/3362 weeks
156-59.68697 -9.92277 (156*2π)/3362 weeks
157-28.29016 26.8502 (157*2π)/3362 weeks
158-9.02999 2.52656 (158*2π)/3362 weeks
159-28.07794 6.27697 (159*2π)/3362 weeks
160-6.72854 24.32125 (160*2π)/3362 weeks
16111.65707 -1.31656 (161*2π)/3362 weeks
162-5.12978 -17.99372 (162*2π)/3362 weeks
163-17.54944 -18.22216 (163*2π)/3362 weeks
164-37.20924 -10.76469 (164*2π)/3362 weeks
165-32.59622 23.99076 (165*2π)/3362 weeks
1669.74414 17.61544 (166*2π)/3362 weeks
167-3.77869 -24.14005 (167*2π)/3362 weeks
168-38.36247   (168*2π)/3362 weeks
169-3.77869 24.14005 (169*2π)/3362 weeks
1709.74414 -17.61544 (170*2π)/3362 weeks
171-32.59622 -23.99076 (171*2π)/3362 weeks
172-37.20924 10.76469 (172*2π)/3362 weeks
173-17.54944 18.22216 (173*2π)/3362 weeks
174-5.12978 17.99372 (174*2π)/3362 weeks
17511.65707 1.31656 (175*2π)/3362 weeks
176-6.72854 -24.32125 (176*2π)/3362 weeks
177-28.07794 -6.27697 (177*2π)/3362 weeks
178-9.02999 -2.52656 (178*2π)/3362 weeks
179-28.29016 -26.8502 (179*2π)/3362 weeks
180-59.68697 9.92277 (180*2π)/3362 weeks
181-18.08546 42.85366 (181*2π)/3362 weeks
1824.05044 7.46781 (182*2π)/3362 weeks
183-21.5935 5.87091 (183*2π)/3362 weeks
184-1.09375 23.24179 (184*2π)/3362 weeks
1859.88861 -13.03883 (185*2π)/3362 weeks
186-31.70906 -19.40488 (186*2π)/3362 weeks
187-35.40306 17.8195 (187*2π)/3362 weeks
188-10.43808 21.60333 (188*2π)/3362 weeks
189-4.3792 12.47732 (189*2π)/3362 weeks
190-.52349 1.18945 (190*2π)/3362 weeks
191-20.77381 -9.71449 (191*2π)/3362 weeks
192-33.04936 22.46122 (192*2π)/3362 weeks
1939.9427 32.03618 (193*2π)/3362 weeks
19414.19499 -15.13648 (194*2π)/3362 weeks
195-28.51668 -10.69414 (195*2π)/3362 weeks
196-13.27654 21.08443 (196*2π)/3362 weeks
1974.51484 -3.72521 (197*2π)/3362 weeks
198-25.12367 -8.61303 (198*2π)/3362 weeks
199-19.96185 19.10535 (199*2π)/3362 weeks
200.79792 8.968 (200*2π)/3362 weeks
201-6.75779 -1.69975 (201*2π)/3362 weeks
202-6.13891 -4.5211 (202*2π)/3362 weeks
203-24.79298 -17.2555 (203*2π)/3362 weeks
204-48.23505 15.76379 (204*2π)/3362 weeks
205-7.80409 44.37968 (205*2π)/3362 weeks
20616.58021 4.78556 (206*2π)/3362 weeks
207-15.4198 -7.25136 (207*2π)/3362 weeks
208-11.35935 13.64172 (208*2π)/3362 weeks
209-4.56146 -4.70116 (209*2π)/3362 weeks
210-32.68284 2.94015 (210*2π)/3362 weeks
211-13.57461 34.32983 (211*2π)/3362 weeks
21213.7003 9.25147 (212*2π)/3362 weeks
213-11.37737 -7.38293 (213*2π)/3362 weeks
214-14.1712 13.34242 (214*2π)/3362 weeks
215-.11405 5.09422 (215*2π)/3362 weeks
216-13.18537 -.43442 (216*2π)/3362 weeks
217-10.23702 9.12124 (217*2π)/3362 weeks
218-10.93094 -.76059 (218*2π)/3362 weeks
219-24.73356 14.59514 (219*2π)/3362 weeks
2204.32618 28.44659 (220*2π)/3362 weeks
22113.61201 -9.71676 (221*2π)/3362 weeks
222-25.96094 -9.15092 (222*2π)/3362 weeks
223-12.95123 26.54719 (223*2π)/3362 weeks
22414.91158 3.12486 (224*2π)/3362 weeks
225-11.58553 -13.7916 (225*2π)/3361 weeks
226-14.38175 7.95062 (226*2π)/3361 weeks
227-1.11413 -4.13376 (227*2π)/3361 weeks
228-22.4082 -8.52417 (228*2π)/3361 weeks
229-18.39616 12.78118 (229*2π)/3361 weeks
230-6.37021 .89167 (230*2π)/3361 weeks
231-23.83195 1.77783 (231*2π)/3361 weeks
232-9.36757 18.97487 (232*2π)/3361 weeks
2331.82279 -6.99311 (233*2π)/3361 weeks
234-30.14437 -8.13679 (234*2π)/3361 weeks
235-19.90329 22.99893 (235*2π)/3361 weeks
2363.86295 1.97458 (236*2π)/3361 weeks
237-23.17057 -11.6016 (237*2π)/3361 weeks
238-24.93616 12.1956 (238*2π)/3361 weeks
239-12.31787 .70695 (239*2π)/3361 weeks
240-36.68185 1.31568 (240*2π)/3361 weeks
241-26.07684 31.12354 (241*2π)/3361 weeks
242-2.54181 14.04655 (242*2π)/3361 weeks
243-25.75921 5.50832 (243*2π)/3361 weeks
244-19.49033 32.84121 (244*2π)/3361 weeks
2454.99455 18.04918 (245*2π)/3361 weeks
246-11.49983 7.00955 (246*2π)/3361 weeks
247-.57752 21.71293 (247*2π)/3361 weeks
24814.00286 -11.74217 (248*2π)/3361 weeks
249-33.18184 -28.36727 (249*2π)/3361 weeks
250-52.33692 15.37605 (250*2π)/3361 weeks
251-29.87173 32.69792 (251*2π)/3361 weeks
252-22.98196 41.70021 (252*2π)/3361 weeks
25315.24669 51.96766 (253*2π)/3361 weeks
25441.97269 -1.29109 (254*2π)/3361 weeks
255-7.2934 -34.01982 (255*2π)/3361 weeks
256-29.40022 -2.12657 (256*2π)/3361 weeks
257-17.69752 -4.38796 (257*2π)/3361 weeks
258-46.72625 -1.5538 (258*2π)/3361 weeks
259-37.95466 44.40786 (259*2π)/3361 weeks
26010.75502 34.52526 (260*2π)/3361 weeks
2615.63232 -4.57261 (261*2π)/3361 weeks
262-14.47341 -10.20965 (262*2π)/3361 weeks
263-35.60259 -15.16798 (263*2π)/3361 weeks
264-65.66116 19.40466 (264*2π)/3361 weeks
265-23.6169 63.43861 (265*2π)/3361 weeks
26617.63105 15.88987 (266*2π)/3361 weeks
267-34.76027 -9.98424 (267*2π)/3361 weeks
268-40.45182 45.11875 (268*2π)/3361 weeks
26911.26426 32.1855 (269*2π)/3361 weeks
270-14.95937 -10.06254 (270*2π)/3361 weeks
271-43.68779 19.04564 (271*2π)/3361 weeks
272-24.1245 28.90387 (272*2π)/3361 weeks
273-36.97535 22.66063 (273*2π)/3361 weeks
274-35.41543 53.083 (274*2π)/3361 weeks
275-4.70097 50.6053 (275*2π)/3361 weeks
276-6.65805 39.57875 (276*2π)/3361 weeks
27710.62363 46.5304 (277*2π)/3361 weeks
27823.40919 7.0273 (278*2π)/3361 weeks
279-22.69324 -5.19576 (279*2π)/3361 weeks
280-22.25336 30.5125 (280*2π)/3361 weeks
281-8.71135 4.35686 (281*2π)/3361 weeks
282-67.47227 13.29881 (282*2π)/3361 weeks
283-43.81056 100.0958 (283*2π)/3361 weeks
28453.65968 73.62579 (284*2π)/3361 weeks
28533.82851 -13.34113 (285*2π)/3361 weeks
286-25.60161 -6.0797 (286*2π)/3361 weeks
287-35.95764 15.77173 (287*2π)/3361 weeks
288-52.25017 43.21721 (288*2π)/3361 weeks
289-13.50858 86.6832 (289*2π)/3361 weeks
29035.4563 45.91994 (290*2π)/3361 weeks
291-2.80769 17.95145 (291*2π)/3361 weeks
2929.56756 52.48241 (292*2π)/3361 weeks
29340.11081 -4.65438 (293*2π)/3361 weeks
294-51.1824 -28.34687 (294*2π)/3361 weeks
295-58.56475 79.5221 (295*2π)/3361 weeks
29647.86055 61.78695 (296*2π)/3361 weeks
2974.69834 -32.87824 (297*2π)/3361 weeks
298-73.17415 24.68796 (298*2π)/3361 weeks
299-21.19624 77.26743 (299*2π)/3361 weeks
3003.42988 44.26111 (300*2π)/3361 weeks
301-6.84192 41.75248 (301*2π)/3361 weeks
302-4.54071 28.70965 (302*2π)/3361 weeks
303-34.88941 41.42259 (303*2π)/3361 weeks
3048.18897 80.96732 (304*2π)/3361 weeks
30543.24995 -.86497 (305*2π)/3361 weeks
306-73.50157 -21.44395 (306*2π)/3361 weeks
307-69.54623 108.3986 (307*2π)/3361 weeks
30846.72386 60.69551 (308*2π)/3361 weeks
309-57.49836 -31.38448 (309*2π)/3361 weeks
310-131.541 114.9747 (310*2π)/3361 weeks
31110.93223 170.8921 (311*2π)/3361 weeks
31225.90152 75.70189 (312*2π)/3361 weeks
313-11.70393 117.368 (313*2π)/3361 weeks
31473.50435 113.7147 (314*2π)/3361 weeks
31545.02304 28.24285 (315*2π)/3361 weeks
316-.2291 74.5528 (316*2π)/3361 weeks
31751.14962 60.02854 (317*2π)/3361 weeks
318-23.44538 25.84166 (318*2π)/3361 weeks
319-14.24831 144.9661 (319*2π)/3361 weeks
320123.0062 64.06976 (320*2π)/3361 weeks
321-41.68865 -73.82841 (321*2π)/3361 weeks
322-165.3053 153.2578 (322*2π)/3361 weeks
32367.93567 237.101 (323*2π)/3361 weeks
32471.98471 50.46922 (324*2π)/3361 weeks
325-47.13285 159.6057 (325*2π)/3361 weeks
326147.0249 224.7895 (326*2π)/3361 weeks
327172.639 4.94597 (327*2π)/3361 weeks
32812.73646 -9.96253 (328*2π)/3361 weeks
329-16.9368 -5.88628 (329*2π)/3361 weeks
330-229.2385 45.72702 (330*2π)/3361 weeks
331-158.8167 422.2629 (331*2π)/3361 weeks
332203.0264 190.369 (332*2π)/3361 weeks
333-556.3971 -61.6015 (333*2π)/3361 weeks
334-958.7428 1,588.404 (334*2π)/3361 weeks

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