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# Fourier Analysis of PCO (Pendrell Corporation - Class A)

PCO (Pendrell Corporation - Class A) appears to have interesting cyclic behaviour every 45 weeks (131.6333*cosine), 29 weeks (124.5084*cosine), and 19 weeks (115.8953*cosine).

PCO (Pendrell Corporation - Class A) has an average price of 1,998.16 (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 5/12/2004 to 1/16/2018 for PCO (Pendrell Corporation - Class A), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
01,998.162   0
1130.8043 1,098.55 (1*2π)/715715 weeks
2-624.1978 1,223.766 (2*2π)/715358 weeks
3-821.2602 .18695 (3*2π)/715238 weeks
4-48.32423 -135.2602 (4*2π)/715179 weeks
5-437.1673 -232.8058 (5*2π)/715143 weeks
625.23952 -239.3646 (6*2π)/715119 weeks
7135.5548 -262.8044 (7*2π)/715102 weeks
8-129.9981 127.8138 (8*2π)/71589 weeks
966.99037 -147.2427 (9*2π)/71579 weeks
1079.35711 -62.22086 (10*2π)/71572 weeks
1150.88253 45.3367 (11*2π)/71565 weeks
1268.27557 -61.16941 (12*2π)/71560 weeks
1333.45116 -49.65057 (13*2π)/71555 weeks
14-1.16772 98.34602 (14*2π)/71551 weeks
15-66.7067 -23.34377 (15*2π)/71548 weeks
16131.6333 -19.12084 (16*2π)/71545 weeks
1730.83663 48.7258 (17*2π)/71542 weeks
184.28554 90.97019 (18*2π)/71540 weeks
19-38.54091 -73.22384 (19*2π)/71538 weeks
2014.9803 111.1271 (20*2π)/71536 weeks
21-32.85138 37.06954 (21*2π)/71534 weeks
22-53.20507 -14.39251 (22*2π)/71533 weeks
2399.98508 -34.86468 (23*2π)/71531 weeks
2424.98273 89.44876 (24*2π)/71530 weeks
25-124.5084 101.4978 (25*2π)/71529 weeks
26-104.5917 -9.41227 (26*2π)/71528 weeks
27-9.09586 -30.33674 (27*2π)/71526 weeks
28-45.22368 -18.43797 (28*2π)/71526 weeks
29-38.50766 -58.38397 (29*2π)/71525 weeks
3034.85305 -77.37572 (30*2π)/71524 weeks
3128.83516 -74.54181 (31*2π)/71523 weeks
3272.30296 39.63626 (32*2π)/71522 weeks
3375.07548 26.42583 (33*2π)/71522 weeks
34-4.863 27.19875 (34*2π)/71521 weeks
3538.10472 44.76346 (35*2π)/71520 weeks
3636.73221 83.08406 (36*2π)/71520 weeks
37-115.8953 83.55148 (37*2π)/71519 weeks
38-62.8578 4.52102 (38*2π)/71519 weeks
39-29.22631 -1.81896 (39*2π)/71518 weeks
40-33.23929 -45.46236 (40*2π)/71518 weeks
41-33.11438 -46.92385 (41*2π)/71517 weeks
4251.01457 -5.61283 (42*2π)/71517 weeks
43-6.52296 -4.1831 (43*2π)/71517 weeks
4432.65155 13.77024 (44*2π)/71516 weeks
453.87763 12.14924 (45*2π)/71516 weeks
46-8.88004 20.81145 (46*2π)/71516 weeks
47-13.23855 -21.70053 (47*2π)/71515 weeks
4824.59975 -7.13056 (48*2π)/71515 weeks
493.43449 14.81579 (49*2π)/71515 weeks
5027.03155 5.13607 (50*2π)/71514 weeks
5137.71687 7.26913 (51*2π)/71514 weeks
527.89116 51.03541 (52*2π)/71514 weeks
53-26.50365 21.59179 (53*2π)/71513 weeks
54-4.06972 19.2646 (54*2π)/71513 weeks
55-19.74106 1.68611 (55*2π)/71513 weeks
56-21.47464 35.55923 (56*2π)/71513 weeks
57-7.50394 -24.48288 (57*2π)/71513 weeks
5810.33891 2.42991 (58*2π)/71512 weeks
59-1.9811 -15.54556 (59*2π)/71512 weeks
602.05587 2.30785 (60*2π)/71512 weeks
6113.13265 13.78559 (61*2π)/71512 weeks
62-5.32876 20.83508 (62*2π)/71512 weeks
631.65139 21.39763 (63*2π)/71511 weeks
6416.19531 10.07127 (64*2π)/71511 weeks
65-36.07773 14.2136 (65*2π)/71511 weeks
66-23.56994 -28.93717 (66*2π)/71511 weeks
679.52674 -1.9575 (67*2π)/71511 weeks
6838.15451 2.03928 (68*2π)/71511 weeks
6918.72811 -7.95989 (69*2π)/71510 weeks
7019.61745 13.2851 (70*2π)/71510 weeks
713.98745 31.86403 (71*2π)/71510 weeks
72-25.23314 29.3249 (72*2π)/71510 weeks
7311.56415 -.75318 (73*2π)/71510 weeks
744.04847 -1.26968 (74*2π)/71510 weeks
7525.00176 8.57659 (75*2π)/71510 weeks
767.5432 14.57739 (76*2π)/7159 weeks
77-2.17785 11.67775 (77*2π)/7159 weeks
78-1.02383 16.13279 (78*2π)/7159 weeks
79-4.10751 10.96494 (79*2π)/7159 weeks
80-3.25926 6.72009 (80*2π)/7159 weeks
815.14838 1.01302 (81*2π)/7159 weeks
82-8.01151 12.81475 (82*2π)/7159 weeks
83-13.42152 -9.17048 (83*2π)/7159 weeks
84-6.56817 -1.83125 (84*2π)/7159 weeks
8522.77797 -2.85628 (85*2π)/7158 weeks
86-18.31701 -10.42435 (86*2π)/7158 weeks
8717.80099 -14.98404 (87*2π)/7158 weeks
8837.02536 -1.04701 (88*2π)/7158 weeks
892.1907 28.24277 (89*2π)/7158 weeks
90-19.44737 -5.73773 (90*2π)/7158 weeks
9118.24405 -2.25078 (91*2π)/7158 weeks
9220.39261 12.83514 (92*2π)/7158 weeks
93-11.11274 6.92132 (93*2π)/7158 weeks
9433.80709 -19.33085 (94*2π)/7158 weeks
9520.98038 22.58224 (95*2π)/7158 weeks
96-12.15043 37.83894 (96*2π)/7157 weeks
97-10.52797 -1.05579 (97*2π)/7157 weeks
98-2.29559 9.18169 (98*2π)/7157 weeks
99-4.89664 1.35204 (99*2π)/7157 weeks
100-8.23546 -18.83117 (100*2π)/7157 weeks
10127.6367 -9.15821 (101*2π)/7157 weeks
10210.826 14.55269 (102*2π)/7157 weeks
103-1.13071 19.23508 (103*2π)/7157 weeks
104-7.96998 3.36333 (104*2π)/7157 weeks
105-5.53302 -.53536 (105*2π)/7157 weeks
1061.61127 -13.59182 (106*2π)/7157 weeks
1071.23135 -10.0377 (107*2π)/7157 weeks
10813.46296 7.94608 (108*2π)/7157 weeks
109-10.03467 -.63179 (109*2π)/7157 weeks
1106.7578 -10.81139 (110*2π)/7157 weeks
11122.71903 -11.07781 (111*2π)/7156 weeks
11210.11648 10.59446 (112*2π)/7156 weeks
1135.53441 -1.09129 (113*2π)/7156 weeks
1147.16158 18.27093 (114*2π)/7156 weeks
115-8.5132 12.92014 (115*2π)/7156 weeks
1166.43036 -4.7947 (116*2π)/7156 weeks
1176.84778 -3.33887 (117*2π)/7156 weeks
118-8.85245 16.8272 (118*2π)/7156 weeks
119-15.94176 -17.8259 (119*2π)/7156 weeks
12014.11795 -4.16643 (120*2π)/7156 weeks
12111.87232 -1.69508 (121*2π)/7156 weeks
122-3.1113 16.81806 (122*2π)/7156 weeks
123-.39919 -9.77528 (123*2π)/7156 weeks
124-3.14016 2.58798 (124*2π)/7156 weeks
1252.51812 -9.31734 (125*2π)/7156 weeks
126-.23758 4.63202 (126*2π)/7156 weeks
1271.02407 -2.21273 (127*2π)/7156 weeks
1281.94831 -16.49405 (128*2π)/7156 weeks
1294.73418 -2.50898 (129*2π)/7156 weeks
1305.7649 4.6441 (130*2π)/7156 weeks
131.19241 -2.88852 (131*2π)/7155 weeks
13215.93645 -5.83021 (132*2π)/7155 weeks
1337.08426 8.64431 (133*2π)/7155 weeks
134-.31793 12.29824 (134*2π)/7155 weeks
135-1.90954 -.95279 (135*2π)/7155 weeks
136-3.46477 15.7055 (136*2π)/7155 weeks
137-9.51677 -1.19806 (137*2π)/7155 weeks
138-1.03366 1.54402 (138*2π)/7155 weeks
139.84594 -2.97633 (139*2π)/7155 weeks
140-4.14508 -5.09723 (140*2π)/7155 weeks
141-11.49175 -4.3315 (141*2π)/7155 weeks
142-7.71168 -2.1546 (142*2π)/7155 weeks
143-1.65238 -29.09949 (143*2π)/7155 weeks
14422.95005 -10.07694 (144*2π)/7155 weeks
14514.3351 -2.24343 (145*2π)/7155 weeks
14619.7502 .14371 (146*2π)/7155 weeks
1479.31042 4.98807 (147*2π)/7155 weeks
14814.83148 35.64492 (148*2π)/7155 weeks
149-14.34311 9.99384 (149*2π)/7155 weeks
150-.41409 8.90693 (150*2π)/7155 weeks
151-10.65801 11.66046 (151*2π)/7155 weeks
152-4.02899 -1.8155 (152*2π)/7155 weeks
153-23.34421 1.62511 (153*2π)/7155 weeks
154-6.59628 -4.39605 (154*2π)/7155 weeks
155-9.32395 -7.17589 (155*2π)/7155 weeks
1569.54164 -14.57403 (156*2π)/7155 weeks
157-.45247 5.40753 (157*2π)/7155 weeks
1584.94091 -15.21786 (158*2π)/7155 weeks
1599.10626 -2.93236 (159*2π)/7154 weeks
160.00435 19.47435 (160*2π)/7154 weeks
161-10.30543 -7.40135 (161*2π)/7154 weeks
16214.08729 -12.87157 (162*2π)/7154 weeks
1639.31994 8.27239 (163*2π)/7154 weeks
164-.20457 7.21012 (164*2π)/7154 weeks
165-5.54698 -4.68169 (165*2π)/7154 weeks
16613.92176 -7.25975 (166*2π)/7154 weeks
1679.66438 11.38009 (167*2π)/7154 weeks
16811.23418 9.22293 (168*2π)/7154 weeks
169-2.49091 1.73367 (169*2π)/7154 weeks
1707.73517 8.88892 (170*2π)/7154 weeks
171-7.18219 4.61742 (171*2π)/7154 weeks
1724.19131 13.39394 (172*2π)/7154 weeks
173-1.54883 9.82406 (173*2π)/7154 weeks
174-6.68986 11.75418 (174*2π)/7154 weeks
175-8.78336 -4.02957 (175*2π)/7154 weeks
176-11.14934 4.15727 (176*2π)/7154 weeks
177-12.88807 -3.18407 (177*2π)/7154 weeks
178-1.73758 -12.96684 (178*2π)/7154 weeks
1798.69238 -11.43201 (179*2π)/7154 weeks
1804.03546 -6.59427 (180*2π)/7154 weeks
18111.12176 1.61739 (181*2π)/7154 weeks
18212.36435 2.33039 (182*2π)/7154 weeks
18310.73092 7.37559 (183*2π)/7154 weeks
1845.48582 18.68461 (184*2π)/7154 weeks
185-9.90775 2.13239 (185*2π)/7154 weeks
1868.36067 -.13322 (186*2π)/7154 weeks
1875.4705 3.84852 (187*2π)/7154 weeks
188-.69053 13.03321 (188*2π)/7154 weeks
189-4.02703 4.48118 (189*2π)/7154 weeks
190-1.60804 2.19095 (190*2π)/7154 weeks
191-4.29322 7.07612 (191*2π)/7154 weeks
1921.38286 -3.39361 (192*2π)/7154 weeks
193.34171 -1.67829 (193*2π)/7154 weeks
1948.24699 11.06998 (194*2π)/7154 weeks
195-9.58659 -.84491 (195*2π)/7154 weeks
1965.60051 -3.62866 (196*2π)/7154 weeks
197-1.21502 2.22742 (197*2π)/7154 weeks
1989.36159 4.41628 (198*2π)/7154 weeks
199-.34937 -4.97166 (199*2π)/7154 weeks
2001.0502 7.20222 (200*2π)/7154 weeks
2019.63062 .29783 (201*2π)/7154 weeks
202-.98442 1.23946 (202*2π)/7154 weeks
2033.49193 3.88175 (203*2π)/7154 weeks
2047.51984 -1.32221 (204*2π)/7154 weeks
2055.48609 5.26876 (205*2π)/7153 weeks
206-6.27433 5.47388 (206*2π)/7153 weeks
2073.089 -3.12249 (207*2π)/7153 weeks
20812.70224 1.96803 (208*2π)/7153 weeks
209-1.09858 12.93927 (209*2π)/7153 weeks
210-5.27026 6.80027 (210*2π)/7153 weeks
211-.93228 -4.36267 (211*2π)/7153 weeks
212.6624 4.90751 (212*2π)/7153 weeks
213-6.95018 -7.27177 (213*2π)/7153 weeks
2149.73358 -3.67079 (214*2π)/7153 weeks
215.37308 -.92469 (215*2π)/7153 weeks
21612.86801 -7.49561 (216*2π)/7153 weeks
21719.53532 .99222 (217*2π)/7153 weeks
2189.51989 20.54697 (218*2π)/7153 weeks
219-13.32348 10.35955 (219*2π)/7153 weeks
22011.41142 -4.81758 (220*2π)/7153 weeks
2211.78773 11.99125 (221*2π)/7153 weeks
222-5.09801 6.45141 (222*2π)/7153 weeks
223-8.32043 -4.7687 (223*2π)/7153 weeks
2247.21516 -1.12279 (224*2π)/7153 weeks
225-4.18764 6.16113 (225*2π)/7153 weeks
226-1.02375 -3.79884 (226*2π)/7153 weeks
2271.67526 -4.3805 (227*2π)/7153 weeks
2287.22861 -1.27851 (228*2π)/7153 weeks
2291.56718 10.63104 (229*2π)/7153 weeks
2303.28891 -2.35472 (230*2π)/7153 weeks
231-6.17228 6.70006 (231*2π)/7153 weeks
232-1.76519 -7.69408 (232*2π)/7153 weeks
2335.79167 4.72381 (233*2π)/7153 weeks
2343.23117 -10.1647 (234*2π)/7153 weeks
2354.80738 -5.4369 (235*2π)/7153 weeks
2369.20651 .49657 (236*2π)/7153 weeks
237-.76022 10.61296 (237*2π)/7153 weeks
2383.09276 2.44736 (238*2π)/7153 weeks
2396.24067 1.02755 (239*2π)/7153 weeks
240-2.2474 -4.72325 (240*2π)/7153 weeks
241-3.69893 -3.41788 (241*2π)/7153 weeks
2429.45944 -3.84065 (242*2π)/7153 weeks
2436.42211 16.55983 (243*2π)/7153 weeks
244-.63201 -.75734 (244*2π)/7153 weeks
2454.94923 2.23574 (245*2π)/7153 weeks
246-2.06622 -5.3123 (246*2π)/7153 weeks
247-2.04442 6.54706 (247*2π)/7153 weeks
248-5.60676 -.12824 (248*2π)/7153 weeks
249-4.54032 -.88959 (249*2π)/7153 weeks
25010.20581 -7.20583 (250*2π)/7153 weeks
251-5.01972 -6.55183 (251*2π)/7153 weeks
252.49755 -9.47264 (252*2π)/7153 weeks
2538.90469 -4.72005 (253*2π)/7153 weeks
25415.22145 3.9349 (254*2π)/7153 weeks
255-8.42205 9.51502 (255*2π)/7153 weeks
2562.34969 -6.95174 (256*2π)/7153 weeks
257-.45226 -2.75919 (257*2π)/7153 weeks
2585.34447 -4.19768 (258*2π)/7153 weeks
2595.42467 6.38787 (259*2π)/7153 weeks
260.34045 -3.54306 (260*2π)/7153 weeks
2616.96473 2.6013 (261*2π)/7153 weeks
2623.36939 3.48839 (262*2π)/7153 weeks
263-2.25817 5.83106 (263*2π)/7153 weeks
264-1.34244 -8.79525 (264*2π)/7153 weeks
2655.57102 1.77597 (265*2π)/7153 weeks
2664.93198 .90801 (266*2π)/7153 weeks
2672.01047 12.89169 (267*2π)/7153 weeks
268-2.28416 -4.87956 (268*2π)/7153 weeks
269-2.27995 2.00292 (269*2π)/7153 weeks
270-3.31759 5.25128 (270*2π)/7153 weeks
271-5.75541 3.09869 (271*2π)/7153 weeks
272-5.28348 -10.73371 (272*2π)/7153 weeks
273-.60207 -8.07867 (273*2π)/7153 weeks
2741.47917 2.19617 (274*2π)/7153 weeks
275.59837 -5.15723 (275*2π)/7153 weeks
2761.70581 -5.09707 (276*2π)/7153 weeks
2779.34082 -5.05767 (277*2π)/7153 weeks
2788.76572 -.82018 (278*2π)/7153 weeks
2791.31538 1.59576 (279*2π)/7153 weeks
2805.00102 3.47473 (280*2π)/7153 weeks
2817.34832 8.01058 (281*2π)/7153 weeks
282-4.04896 2.86371 (282*2π)/7153 weeks
283-2.28024 6.00649 (283*2π)/7153 weeks
284-.60585 -5.49464 (284*2π)/7153 weeks
285-3.44777 -1.14484 (285*2π)/7153 weeks
286-1.82859 .9594 (286*2π)/7153 weeks
2872.57393 -1.93396 (287*2π)/7152 weeks
2882.8133 .98826 (288*2π)/7152 weeks
289-1.8227 7.61082 (289*2π)/7152 weeks
290-6.07461 -4.21162 (290*2π)/7152 weeks
291-2.47942 -1.86105 (291*2π)/7152 weeks
2922.88571 -2.24694 (292*2π)/7152 weeks
2932.46186 -1.57394 (293*2π)/7152 weeks
2941.45166 -5.04456 (294*2π)/7152 weeks
2955.69194 4.04022 (295*2π)/7152 weeks
2968.02277 2.6702 (296*2π)/7152 weeks
2972.54121 2.38726 (297*2π)/7152 weeks
298-1.11367 -3.17645 (298*2π)/7152 weeks
2993.16551 7.61196 (299*2π)/7152 weeks
300-8.36621 6.39396 (300*2π)/7152 weeks
301-1.97062 -1.30663 (301*2π)/7152 weeks
302-1.19975 -7.96708 (302*2π)/7152 weeks
3038.48062 6.16196 (303*2π)/7152 weeks
304-.38739 -3.14953 (304*2π)/7152 weeks
305.05217 7.54097 (305*2π)/7152 weeks
306-.23891 -5.5422 (306*2π)/7152 weeks
307.19791 11.78766 (307*2π)/7152 weeks
308-2.22587 -6.52705 (308*2π)/7152 weeks
3095.8224 -.56504 (309*2π)/7152 weeks
3104.05457 -4.13857 (310*2π)/7152 weeks
311-1.61815 6.37158 (311*2π)/7152 weeks
3123.12515 .33653 (312*2π)/7152 weeks
313-.96563 -6.42706 (313*2π)/7152 weeks
31415.11686 4.31469 (314*2π)/7152 weeks
3154.83949 1.83243 (315*2π)/7152 weeks
3161.4922 7.26973 (316*2π)/7152 weeks
317-3.21685 6.99894 (317*2π)/7152 weeks
3182.71088 3.90574 (318*2π)/7152 weeks
319-1.45578 2.10797 (319*2π)/7152 weeks
320-4.41854 4.38906 (320*2π)/7152 weeks
321-2.9816 -2.30159 (321*2π)/7152 weeks
3224.76541 -.59608 (322*2π)/7152 weeks
323-.0751 6.83641 (323*2π)/7152 weeks
324-10.50025 -1.40411 (324*2π)/7152 weeks
3255.5674 -9.00423 (325*2π)/7152 weeks
3262.26705 8.08024 (326*2π)/7152 weeks
327-1.12465 -10.22185 (327*2π)/7152 weeks
3286.64076 -6.41217 (328*2π)/7152 weeks
3299.58697 3.67664 (329*2π)/7152 weeks
330.06128 8.35068 (330*2π)/7152 weeks
3319.87437 -1.34694 (331*2π)/7152 weeks
3322.07015 1.3591 (332*2π)/7152 weeks
3331.18765 11.12245 (333*2π)/7152 weeks
3343.88266 3.10222 (334*2π)/7152 weeks
3351.54192 2.53127 (335*2π)/7152 weeks
336-10.04755 8.70312 (336*2π)/7152 weeks
337-7.77553 -3.51809 (337*2π)/7152 weeks
3388.96851 -4.61675 (338*2π)/7152 weeks
3393.74801 .59758 (339*2π)/7152 weeks
340-.50526 .68987 (340*2π)/7152 weeks
3416.0111 2.43565 (341*2π)/7152 weeks
342-.87584 4.10904 (342*2π)/7152 weeks
343.31785 .06779 (343*2π)/7152 weeks
344-2.39107 -1.80622 (344*2π)/7152 weeks
3456.97961 -.56519 (345*2π)/7152 weeks
346-2.77461 1.99012 (346*2π)/7152 weeks
347-1.44783 -2.89941 (347*2π)/7152 weeks
3483.61035 -8.8192 (348*2π)/7152 weeks
3499.82599 -1.78861 (349*2π)/7152 weeks
3506.11038 5.28189 (350*2π)/7152 weeks
351.12546 2.69342 (351*2π)/7152 weeks
3526.62271 -4.47034 (352*2π)/7152 weeks
3535.60777 12.62441 (353*2π)/7152 weeks
354-6.84789 5.16324 (354*2π)/7152 weeks
355-.88636 1.02126 (355*2π)/7152 weeks
3563.28847 -4.98867 (356*2π)/7152 weeks
357-.8917 11.3293 (357*2π)/7152 weeks
358-.8917 -11.3293 (358*2π)/7152 weeks
3593.28847 4.98867 (359*2π)/7152 weeks
360-.88636 -1.02126 (360*2π)/7152 weeks
361-6.84789 -5.16324 (361*2π)/7152 weeks
3625.60777 -12.62441 (362*2π)/7152 weeks
3636.62271 4.47034 (363*2π)/7152 weeks
364.12546 -2.69342 (364*2π)/7152 weeks
3656.11038 -5.28189 (365*2π)/7152 weeks
3669.82599 1.78861 (366*2π)/7152 weeks
3673.61035 8.8192 (367*2π)/7152 weeks
368-1.44783 2.89941 (368*2π)/7152 weeks
369-2.77461 -1.99012 (369*2π)/7152 weeks
3706.97961 .56519 (370*2π)/7152 weeks
371-2.39107 1.80622 (371*2π)/7152 weeks
372.31785 -.06779 (372*2π)/7152 weeks
373-.87584 -4.10904 (373*2π)/7152 weeks
3746.0111 -2.43565 (374*2π)/7152 weeks
375-.50526 -.68987 (375*2π)/7152 weeks
3763.74801 -.59758 (376*2π)/7152 weeks
3778.96851 4.61675 (377*2π)/7152 weeks
378-7.77553 3.51809 (378*2π)/7152 weeks
379-10.04755 -8.70312 (379*2π)/7152 weeks
3801.54192 -2.53127 (380*2π)/7152 weeks
3813.88266 -3.10222 (381*2π)/7152 weeks
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