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# Fourier Analysis of PACD (Pacific Drilling SA)

PACD (Pacific Drilling SA) appears to have interesting cyclic behaviour every 28 weeks (2.6985*cosine), 19 weeks (2.1526*sine), and 31 weeks (1.5374*sine).

PACD (Pacific Drilling SA) has an average price of 57.16 (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 11/11/2011 to 9/25/2017 for PACD (Pacific Drilling SA), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
057.16466   0
1-11.76034 56.54134 (1*2π)/308308 weeks
24.12372 4.64437 (2*2π)/308154 weeks
3-.18308 13.75646 (3*2π)/308103 weeks
4-.99204 6.00648 (4*2π)/30877 weeks
51.39711 7.70684 (5*2π)/30862 weeks
61.09849 3.96004 (6*2π)/30851 weeks
7-1.40517 8.50742 (7*2π)/30844 weeks
8-.77459 1.766 (8*2π)/30839 weeks
9-1.04487 5.67853 (9*2π)/30834 weeks
10-.94986 1.53738 (10*2π)/30831 weeks
11-2.69846 1.50948 (11*2π)/30828 weeks
121.0211 1.47004 (12*2π)/30826 weeks
13-.40317 1.21392 (13*2π)/30824 weeks
14.18989 1.37159 (14*2π)/30822 weeks
151.37038 1.22636 (15*2π)/30821 weeks
16.0988 2.15263 (16*2π)/30819 weeks
17-.02232 .99472 (17*2π)/30818 weeks
18.54385 1.42366 (18*2π)/30817 weeks
19.66412 1.40097 (19*2π)/30816 weeks
20.3202 1.1693 (20*2π)/30815 weeks
21-.03031 1.63701 (21*2π)/30815 weeks
22-.02465 1.11315 (22*2π)/30814 weeks
23.53845 .57156 (23*2π)/30813 weeks
24.45644 .84534 (24*2π)/30813 weeks
251.17455 1.16186 (25*2π)/30812 weeks
26-.52328 1.77358 (26*2π)/30812 weeks
27.52918 .3454 (27*2π)/30811 weeks
28.30597 1.40573 (28*2π)/30811 weeks
29.24276 .65373 (29*2π)/30811 weeks
30.46716 1.18357 (30*2π)/30810 weeks
31.16014 .92018 (31*2π)/30810 weeks
32-.17909 .93883 (32*2π)/30810 weeks
33.17594 .43349 (33*2π)/3089 weeks
34.57358 .48818 (34*2π)/3089 weeks
35.30149 .76223 (35*2π)/3089 weeks
36.31371 1.28206 (36*2π)/3089 weeks
37-.05488 .24684 (37*2π)/3088 weeks
38.39478 .51644 (38*2π)/3088 weeks
39.14942 .53284 (39*2π)/3088 weeks
40.1174 .69473 (40*2π)/3088 weeks
41.67178 .29645 (41*2π)/3088 weeks
42.20326 .84468 (42*2π)/3087 weeks
43.4894 .02066 (43*2π)/3087 weeks
44.49416 1.18227 (44*2π)/3087 weeks
45.05036 .58438 (45*2π)/3087 weeks
46.27296 .28696 (46*2π)/3087 weeks
47.53383 .38793 (47*2π)/3087 weeks
48.34836 .68443 (48*2π)/3086 weeks
49.67935 .76413 (49*2π)/3086 weeks
50.05093 .69899 (50*2π)/3086 weeks
51.25254 .63119 (51*2π)/3086 weeks
52.18766 .46668 (52*2π)/3086 weeks
53.06852 .89388 (53*2π)/3086 weeks
54.10561 .1392 (54*2π)/3086 weeks
55.15175 .50611 (55*2π)/3086 weeks
56.29398 .2493 (56*2π)/3086 weeks
57.39792 .5545 (57*2π)/3085 weeks
58.18786 .47027 (58*2π)/3085 weeks
59.01526 .42075 (59*2π)/3085 weeks
60.32539 .21382 (60*2π)/3085 weeks
61.0223 .28421 (61*2π)/3085 weeks
62.42151 .39889 (62*2π)/3085 weeks
63-.02298 .36114 (63*2π)/3085 weeks
64.5673 -.1409 (64*2π)/3085 weeks
65.3094 .47132 (65*2π)/3085 weeks
66.38716 .33649 (66*2π)/3085 weeks
67.41462 .15941 (67*2π)/3085 weeks
68.53089 .52191 (68*2π)/3085 weeks
69.1032 .32597 (69*2π)/3084 weeks
70.39783 .48945 (70*2π)/3084 weeks
71.24252 .30369 (71*2π)/3084 weeks
72.46669 .39908 (72*2π)/3084 weeks
73-.08207 .63314 (73*2π)/3084 weeks
74.34952 .09104 (74*2π)/3084 weeks
75.12787 .25919 (75*2π)/3084 weeks
76.17551 .27208 (76*2π)/3084 weeks
77.49275 .22762 (77*2π)/3084 weeks
78.05954 .42631 (78*2π)/3084 weeks
79.33958 .02535 (79*2π)/3084 weeks
80.27041 .44194 (80*2π)/3084 weeks
81.24081 .08021 (81*2π)/3084 weeks
82.39444 .25294 (82*2π)/3084 weeks
83.32083 .29887 (83*2π)/3084 weeks
84.30263 .27733 (84*2π)/3084 weeks
85.10122 .35584 (85*2π)/3084 weeks
86.36489 .17478 (86*2π)/3084 weeks
87.39396 .25701 (87*2π)/3084 weeks
88.15046 .25802 (88*2π)/3084 weeks
89.29574 .25347 (89*2π)/3083 weeks
90.25688 .083 (90*2π)/3083 weeks
91.29768 .24132 (91*2π)/3083 weeks
92.22373 .38488 (92*2π)/3083 weeks
93.11276 .00562 (93*2π)/3083 weeks
94.41078 .03161 (94*2π)/3083 weeks
95.303 .29411 (95*2π)/3083 weeks
96.33491 -.25023 (96*2π)/3083 weeks
97.67731 .33919 (97*2π)/3083 weeks
98.33032 .30025 (98*2π)/3083 weeks
99.37577 .36174 (99*2π)/3083 weeks
100.35681 .18644 (100*2π)/3083 weeks
101.36037 .43253 (101*2π)/3083 weeks
102.30905 .18507 (102*2π)/3083 weeks
103.33465 .43959 (103*2π)/3083 weeks
104.25441 .39247 (104*2π)/3083 weeks
105.21684 .31908 (105*2π)/3083 weeks
106-.01928 .32316 (106*2π)/3083 weeks
107.31822 .43965 (107*2π)/3083 weeks
108-.12964 -.00457 (108*2π)/3083 weeks
109.30027 .2644 (109*2π)/3083 weeks
110-.00054 .15189 (110*2π)/3083 weeks
111.1387 .08559 (111*2π)/3083 weeks
112.32087 -.03658 (112*2π)/3083 weeks
113.25315 .23494 (113*2π)/3083 weeks
114.09483 .21645 (114*2π)/3083 weeks
115.16758 .0521 (115*2π)/3083 weeks
116.31095 .04729 (116*2π)/3083 weeks
117.04985 .12277 (117*2π)/3083 weeks
118.31781 -.08325 (118*2π)/3083 weeks
119.419 .09718 (119*2π)/3083 weeks
120.3662 .16513 (120*2π)/3083 weeks
121.21247 .31526 (121*2π)/3083 weeks
122.28775 .12519 (122*2π)/3083 weeks
123.06125 .24597 (123*2π)/3083 weeks
124.06076 .07375 (124*2π)/3082 weeks
125.30738 -.04876 (125*2π)/3082 weeks
126.07458 .21668 (126*2π)/3082 weeks
127.34089 -.11904 (127*2π)/3082 weeks
128.14595 .07868 (128*2π)/3082 weeks
129.35588 .08817 (129*2π)/3082 weeks
130.18566 .0386 (130*2π)/3082 weeks
131.22565 .08541 (131*2π)/3082 weeks
132.20406 -.07913 (132*2π)/3082 weeks
133.56643 .16346 (133*2π)/3082 weeks
134.05829 .27477 (134*2π)/3082 weeks
135.22684 .14307 (135*2π)/3082 weeks
136-.00057 .05901 (136*2π)/3082 weeks
137.22185 -.02675 (137*2π)/3082 weeks
138.18681 -.0795 (138*2π)/3082 weeks
139.18641 .11062 (139*2π)/3082 weeks
140.14796 -.18358 (140*2π)/3082 weeks
141.37494 .00226 (141*2π)/3082 weeks
142.29972 -.09842 (142*2π)/3082 weeks
143.32568 .15728 (143*2π)/3082 weeks
144.25274 -.02423 (144*2π)/3082 weeks
145.28976 .18514 (145*2π)/3082 weeks
146.22279 .04381 (146*2π)/3082 weeks
147-.0793 .02123 (147*2π)/3082 weeks
148.35624 -.01975 (148*2π)/3082 weeks
149.16197 -.14005 (149*2π)/3082 weeks
150.30568 .01372 (150*2π)/3082 weeks
151.12237 -.09518 (151*2π)/3082 weeks
152.35587 -.14512 (152*2π)/3082 weeks
153.31297 -.23031 (153*2π)/3082 weeks
154.62482   (154*2π)/3082 weeks
155.31297 .23031 (155*2π)/3082 weeks
156.35587 .14512 (156*2π)/3082 weeks
157.12237 .09518 (157*2π)/3082 weeks
158.30568 -.01372 (158*2π)/3082 weeks
159.16197 .14005 (159*2π)/3082 weeks
160.35624 .01975 (160*2π)/3082 weeks
161-.0793 -.02123 (161*2π)/3082 weeks
162.22279 -.04381 (162*2π)/3082 weeks
163.28976 -.18514 (163*2π)/3082 weeks
164.25274 .02423 (164*2π)/3082 weeks
165.32568 -.15728 (165*2π)/3082 weeks
166.29972 .09842 (166*2π)/3082 weeks
167.37494 -.00226 (167*2π)/3082 weeks
168.14796 .18358 (168*2π)/3082 weeks
169.18641 -.11062 (169*2π)/3082 weeks
170.18681 .0795 (170*2π)/3082 weeks
171.22185 .02675 (171*2π)/3082 weeks
172-.00057 -.05901 (172*2π)/3082 weeks
173.22684 -.14307 (173*2π)/3082 weeks
174.05829 -.27477 (174*2π)/3082 weeks
175.56643 -.16346 (175*2π)/3082 weeks
176.20406 .07913 (176*2π)/3082 weeks
177.22565 -.08541 (177*2π)/3082 weeks
178.18566 -.0386 (178*2π)/3082 weeks
179.35588 -.08817 (179*2π)/3082 weeks
180.14595 -.07868 (180*2π)/3082 weeks
181.34089 .11904 (181*2π)/3082 weeks
182.07458 -.21668 (182*2π)/3082 weeks
183.30738 .04876 (183*2π)/3082 weeks
184.06076 -.07375 (184*2π)/3082 weeks
185.06125 -.24597 (185*2π)/3082 weeks
186.28775 -.12519 (186*2π)/3082 weeks
187.21247 -.31526 (187*2π)/3082 weeks
188.3662 -.16513 (188*2π)/3082 weeks
189.419 -.09718 (189*2π)/3082 weeks
190.31781 .08325 (190*2π)/3082 weeks
191.04985 -.12277 (191*2π)/3082 weeks
192.31095 -.04729 (192*2π)/3082 weeks
193.16758 -.0521 (193*2π)/3082 weeks
194.09483 -.21645 (194*2π)/3082 weeks
195.25315 -.23494 (195*2π)/3082 weeks
196.32087 .03658 (196*2π)/3082 weeks
197.1387 -.08559 (197*2π)/3082 weeks
198-.00054 -.15189 (198*2π)/3082 weeks
199.30027 -.2644 (199*2π)/3082 weeks
200-.12964 .00457 (200*2π)/3082 weeks
201.31822 -.43965 (201*2π)/3082 weeks
202-.01928 -.32316 (202*2π)/3082 weeks
203.21684 -.31908 (203*2π)/3082 weeks
204.25441 -.39247 (204*2π)/3082 weeks
205.33465 -.43959 (205*2π)/3082 weeks
206.30905 -.18507 (206*2π)/3081 weeks
207.36037 -.43253 (207*2π)/3081 weeks
208.35681 -.18644 (208*2π)/3081 weeks
209.37577 -.36174 (209*2π)/3081 weeks
210.33032 -.30025 (210*2π)/3081 weeks
211.67731 -.33919 (211*2π)/3081 weeks
212.33491 .25023 (212*2π)/3081 weeks
213.303 -.29411 (213*2π)/3081 weeks
214.41078 -.03161 (214*2π)/3081 weeks
215.11276 -.00562 (215*2π)/3081 weeks
216.22373 -.38488 (216*2π)/3081 weeks
217.29768 -.24132 (217*2π)/3081 weeks
218.25688 -.083 (218*2π)/3081 weeks
219.29574 -.25347 (219*2π)/3081 weeks
220.15046 -.25802 (220*2π)/3081 weeks
221.39396 -.25701 (221*2π)/3081 weeks
222.36489 -.17478 (222*2π)/3081 weeks
223.10122 -.35584 (223*2π)/3081 weeks
224.30263 -.27733 (224*2π)/3081 weeks
225.32083 -.29887 (225*2π)/3081 weeks
226.39444 -.25294 (226*2π)/3081 weeks
227.24081 -.08021 (227*2π)/3081 weeks
228.27041 -.44194 (228*2π)/3081 weeks
229.33958 -.02535 (229*2π)/3081 weeks
230.05954 -.42631 (230*2π)/3081 weeks
231.49275 -.22762 (231*2π)/3081 weeks
232.17551 -.27208 (232*2π)/3081 weeks
233.12787 -.25919 (233*2π)/3081 weeks
234.34952 -.09104 (234*2π)/3081 weeks
235-.08207 -.63314 (235*2π)/3081 weeks
236.46669 -.39908 (236*2π)/3081 weeks
237.24252 -.30369 (237*2π)/3081 weeks
238.39783 -.48945 (238*2π)/3081 weeks
239.1032 -.32597 (239*2π)/3081 weeks
240.53089 -.52191 (240*2π)/3081 weeks
241.41462 -.15941 (241*2π)/3081 weeks
242.38716 -.33649 (242*2π)/3081 weeks
243.3094 -.47132 (243*2π)/3081 weeks
244.5673 .1409 (244*2π)/3081 weeks
245-.02298 -.36114 (245*2π)/3081 weeks
246.42151 -.39889 (246*2π)/3081 weeks
247.0223 -.28421 (247*2π)/3081 weeks
248.32539 -.21382 (248*2π)/3081 weeks
249.01526 -.42075 (249*2π)/3081 weeks
250.18786 -.47027 (250*2π)/3081 weeks
251.39792 -.5545 (251*2π)/3081 weeks
252.29398 -.2493 (252*2π)/3081 weeks
253.15175 -.50611 (253*2π)/3081 weeks
254.10561 -.1392 (254*2π)/3081 weeks
255.06852 -.89388 (255*2π)/3081 weeks
256.18766 -.46668 (256*2π)/3081 weeks
257.25254 -.63119 (257*2π)/3081 weeks
258.05093 -.69899 (258*2π)/3081 weeks
259.67935 -.76413 (259*2π)/3081 weeks
260.34836 -.68443 (260*2π)/3081 weeks
261.53383 -.38793 (261*2π)/3081 weeks
262.27296 -.28696 (262*2π)/3081 weeks
263.05036 -.58438 (263*2π)/3081 weeks
264.49416 -1.18227 (264*2π)/3081 weeks
265.4894 -.02066 (265*2π)/3081 weeks
266.20326 -.84468 (266*2π)/3081 weeks
267.67178 -.29645 (267*2π)/3081 weeks
268.1174 -.69473 (268*2π)/3081 weeks
269.14942 -.53284 (269*2π)/3081 weeks
270.39478 -.51644 (270*2π)/3081 weeks
271-.05488 -.24684 (271*2π)/3081 weeks
272.31371 -1.28206 (272*2π)/3081 weeks
273.30149 -.76223 (273*2π)/3081 weeks
274.57358 -.48818 (274*2π)/3081 weeks
275.17594 -.43349 (275*2π)/3081 weeks
276-.17909 -.93883 (276*2π)/3081 weeks
277.16014 -.92018 (277*2π)/3081 weeks
278.46716 -1.18357 (278*2π)/3081 weeks
279.24276 -.65373 (279*2π)/3081 weeks
280.30597 -1.40573 (280*2π)/3081 weeks
281.52918 -.3454 (281*2π)/3081 weeks
282-.52328 -1.77358 (282*2π)/3081 weeks
2831.17455 -1.16186 (283*2π)/3081 weeks
284.45644 -.84534 (284*2π)/3081 weeks
285.53845 -.57156 (285*2π)/3081 weeks
286-.02465 -1.11315 (286*2π)/3081 weeks
287-.03031 -1.63701 (287*2π)/3081 weeks
288.3202 -1.1693 (288*2π)/3081 weeks
289.66412 -1.40097 (289*2π)/3081 weeks
290.54385 -1.42366 (290*2π)/3081 weeks
291-.02232 -.99472 (291*2π)/3081 weeks
292.0988 -2.15263 (292*2π)/3081 weeks
2931.37038 -1.22636 (293*2π)/3081 weeks
294.18989 -1.37159 (294*2π)/3081 weeks
295-.40317 -1.21392 (295*2π)/3081 weeks
2961.0211 -1.47004 (296*2π)/3081 weeks
297-2.69846 -1.50948 (297*2π)/3081 weeks
298-.94986 -1.53738 (298*2π)/3081 weeks
299-1.04487 -5.67853 (299*2π)/3081 weeks
300-.77459 -1.766 (300*2π)/3081 weeks
301-1.40517 -8.50742 (301*2π)/3081 weeks
3021.09849 -3.96004 (302*2π)/3081 weeks
3031.39711 -7.70684 (303*2π)/3081 weeks
304-.99204 -6.00648 (304*2π)/3081 weeks
305-.18308 -13.75646 (305*2π)/3081 weeks
3064.12372 -4.64437 (306*2π)/3081 weeks