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Fourier Analysis of MSLP (MUSCLEPHARM COR)


MSLP (MUSCLEPHARM COR) appears to have interesting cyclic behaviour every 39 weeks (36.1378*sine), 36 weeks (30.4641*sine), and 26 weeks (9.9719*cosine).

MSLP (MUSCLEPHARM COR) has an average price of 65.91 (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 4/22/2010 to 10/9/2017 for MSLP (MUSCLEPHARM COR), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
065.91174   0 
1109.5179 30.01075 (1*2π)/391391 weeks
297.31985 49.91794 (2*2π)/391196 weeks
378.72491 59.72307 (3*2π)/391130 weeks
460.82764 66.78113 (4*2π)/39198 weeks
544.67821 68.16161 (5*2π)/39178 weeks
629.27192 63.49367 (6*2π)/39165 weeks
720.48532 59.31421 (7*2π)/39156 weeks
89.95393 52.8377 (8*2π)/39149 weeks
94.1172 44.48406 (9*2π)/39143 weeks
103.01088 36.13781 (10*2π)/39139 weeks
113.0969 30.46406 (11*2π)/39136 weeks
124.41535 26.36874 (12*2π)/39133 weeks
136.49412 23.81446 (13*2π)/39130 weeks
149.08887 23.26044 (14*2π)/39128 weeks
159.97187 25.13062 (15*2π)/39126 weeks
168.75109 27.06418 (16*2π)/39124 weeks
176.07423 27.98354 (17*2π)/39123 weeks
182.9877 28.0205 (18*2π)/39122 weeks
19-.60624 27.30572 (19*2π)/39121 weeks
20-4.01485 24.78241 (20*2π)/39120 weeks
21-7.00841 20.95614 (21*2π)/39119 weeks
22-7.45707 16.84952 (22*2π)/39118 weeks
23-7.23023 12.90694 (23*2π)/39117 weeks
24-6.31616 9.83348 (24*2π)/39116 weeks
25-4.1969 6.66363 (25*2π)/39116 weeks
26-1.42654 4.82113 (26*2π)/39115 weeks
271.45193 4.32939 (27*2π)/39114 weeks
284.10547 4.94767 (28*2π)/39114 weeks
295.82544 6.26686 (29*2π)/39113 weeks
306.59437 8.33349 (30*2π)/39113 weeks
316.00585 10.1902 (31*2π)/39113 weeks
324.52084 10.96035 (32*2π)/39112 weeks
333.31152 10.58872 (33*2π)/39112 weeks
343.12377 10.25394 (34*2π)/39112 weeks
352.36231 10.13169 (35*2π)/39111 weeks
361.56585 9.48205 (36*2π)/39111 weeks
371.4341 8.42968 (37*2π)/39111 weeks
382.1697 7.86074 (38*2π)/39110 weeks
392.23781 8.00862 (39*2π)/39110 weeks
402.08439 7.88578 (40*2π)/39110 weeks
412.17335 7.65845 (41*2π)/39110 weeks
421.98153 7.68373 (42*2π)/3919 weeks
431.81467 7.38158 (43*2π)/3919 weeks
441.53134 6.965 (44*2π)/3919 weeks
451.84647 6.72731 (45*2π)/3919 weeks
462.28033 6.75503 (46*2π)/3919 weeks
471.7822 7.26537 (47*2π)/3918 weeks
481.3365 7.34871 (48*2π)/3918 weeks
49.35033 7.18845 (49*2π)/3918 weeks
50-.52287 6.45246 (50*2π)/3918 weeks
51-1.24105 5.29465 (51*2π)/3918 weeks
52-1.49455 3.58083 (52*2π)/3918 weeks
53-.61954 1.66255 (53*2π)/3917 weeks
54.81715 .7483 (54*2π)/3917 weeks
552.02495 .08691 (55*2π)/3917 weeks
563.90314 -.31669 (56*2π)/3917 weeks
576.01964 .32822 (57*2π)/3917 weeks
587.22186 1.82375 (58*2π)/3917 weeks
597.70517 3.34042 (59*2π)/3917 weeks
608.08373 4.58618 (60*2π)/3917 weeks
618.33679 6.48111 (61*2π)/3916 weeks
627.21792 8.67196 (62*2π)/3916 weeks
635.10234 9.70273 (63*2π)/3916 weeks
643.17661 9.94616 (64*2π)/3916 weeks
651.40314 9.56422 (65*2π)/3916 weeks
66-.24102 8.54805 (66*2π)/3916 weeks
67-1.50936 7.06229 (67*2π)/3916 weeks
68-1.78079 5.15656 (68*2π)/3916 weeks
69-1.51023 3.50852 (69*2π)/3916 weeks
70-.73658 2.03189 (70*2π)/3916 weeks
71.49111 1.10667 (71*2π)/3916 weeks
722.16661 .66534 (72*2π)/3915 weeks
733.49194 1.098 (73*2π)/3915 weeks
744.72617 2.01139 (74*2π)/3915 weeks
755.18902 3.40752 (75*2π)/3915 weeks
765.03546 4.69246 (76*2π)/3915 weeks
774.3914 5.88979 (77*2π)/3915 weeks
782.99099 6.82065 (78*2π)/3915 weeks
791.2797 6.64317 (79*2π)/3915 weeks
80.06092 5.69972 (80*2π)/3915 weeks
81-.54037 4.50705 (81*2π)/3915 weeks
82-.82325 3.33168 (82*2π)/3915 weeks
83-.39074 1.83636 (83*2π)/3915 weeks
84.81217 .93047 (84*2π)/3915 weeks
851.90674 1.04931 (85*2π)/3915 weeks
862.55148 1.26635 (86*2π)/3915 weeks
873.27253 1.51349 (87*2π)/3914 weeks
883.7532 2.46355 (88*2π)/3914 weeks
893.51122 3.51179 (89*2π)/3914 weeks
902.54596 3.86654 (90*2π)/3914 weeks
911.89757 3.66197 (91*2π)/3914 weeks
921.46032 3.40412 (92*2π)/3914 weeks
93.90993 2.88203 (93*2π)/3914 weeks
94.88272 2.00728 (94*2π)/3914 weeks
951.1735 1.37001 (95*2π)/3914 weeks
961.67046 .94076 (96*2π)/3914 weeks
972.25134 .60523 (97*2π)/3914 weeks
982.95714 .46167 (98*2π)/3914 weeks
993.79302 .65968 (99*2π)/3914 weeks
1004.53767 1.31219 (100*2π)/3914 weeks
1014.68952 2.20217 (101*2π)/3914 weeks
1024.53727 3.04172 (102*2π)/3914 weeks
1034.12133 3.51464 (103*2π)/3914 weeks
1043.79503 3.9035 (104*2π)/3914 weeks
1053.27986 4.42472 (105*2π)/3914 weeks
1062.39424 4.66306 (106*2π)/3914 weeks
1071.59001 4.44891 (107*2π)/3914 weeks
108.83945 4.11442 (108*2π)/3914 weeks
109.19701 3.50543 (109*2π)/3914 weeks
110-.31719 2.50891 (110*2π)/3914 weeks
111-.2154 1.30907 (111*2π)/3914 weeks
112.47983 .41742 (112*2π)/3913 weeks
1131.28089 -.10049 (113*2π)/3913 weeks
1142.16817 -.23293 (114*2π)/3913 weeks
1153.14282 -.064 (115*2π)/3913 weeks
1163.65821 .59721 (116*2π)/3913 weeks
1173.88108 1.19247 (117*2π)/3913 weeks
1184.03356 1.63062 (118*2π)/3913 weeks
1193.97066 2.36607 (119*2π)/3913 weeks
1203.62049 2.94957 (120*2π)/3913 weeks
1213.03574 3.20769 (121*2π)/3913 weeks
1222.50974 3.23854 (122*2π)/3913 weeks
1232.18275 3.33668 (123*2π)/3913 weeks
1241.52531 3.32032 (124*2π)/3913 weeks
125.79138 2.90533 (125*2π)/3913 weeks
126.52059 2.27033 (126*2π)/3913 weeks
127.43051 1.52864 (127*2π)/3913 weeks
128.52648 .92106 (128*2π)/3913 weeks
129.86525 .3013 (129*2π)/3913 weeks
1301.5113 -.17968 (130*2π)/3913 weeks
1312.31369 -.23799 (131*2π)/3913 weeks
1322.92644 .18136 (132*2π)/3913 weeks
1333.16625 .61572 (133*2π)/3913 weeks
1343.22557 .97902 (134*2π)/3913 weeks
1353.34626 1.36971 (135*2π)/3913 weeks
1363.21621 1.89009 (136*2π)/3913 weeks
1372.72281 2.4011 (137*2π)/3913 weeks
1382.02557 2.40562 (138*2π)/3913 weeks
1391.52795 2.14779 (139*2π)/3913 weeks
1401.11583 1.8895 (140*2π)/3913 weeks
141.7384 1.32591 (141*2π)/3913 weeks
142.64463 .5916 (142*2π)/3913 weeks
143.97968 -.11055 (143*2π)/3913 weeks
1441.48742 -.53557 (144*2π)/3913 weeks
1452.09476 -.78905 (145*2π)/3913 weeks
1462.83339 -.74239 (146*2π)/3913 weeks
1473.32564 -.2216 (147*2π)/3913 weeks
1483.36866 .2929 (148*2π)/3913 weeks
1493.18406 .47436 (149*2π)/3913 weeks
1503.21503 .50539 (150*2π)/3913 weeks
1513.24252 .62581 (151*2π)/3913 weeks
1523.20666 .77884 (152*2π)/3913 weeks
1533.20231 .75369 (153*2π)/3913 weeks
1543.29107 .89434 (154*2π)/3913 weeks
1553.2411 1.10378 (155*2π)/3913 weeks
1563.0754 1.07382 (156*2π)/3913 weeks
1573.11568 .93645 (157*2π)/3912 weeks
1583.4739 1.02032 (158*2π)/3912 weeks
1593.58575 1.43398 (159*2π)/3912 weeks
1603.39028 1.85346 (160*2π)/3912 weeks
1613.25477 2.04632 (161*2π)/3912 weeks
1623.01976 2.41108 (162*2π)/3912 weeks
1632.52106 2.70406 (163*2π)/3912 weeks
1641.88954 2.74585 (164*2π)/3912 weeks
1651.31297 2.47141 (165*2π)/3912 weeks
166.97032 2.1307 (166*2π)/3912 weeks
167.65473 1.83762 (167*2π)/3912 weeks
168.29752 1.33689 (168*2π)/3912 weeks
169.20627 .70533 (169*2π)/3912 weeks
170.39883 .08691 (170*2π)/3912 weeks
171.68453 -.2278 (171*2π)/3912 weeks
172.89796 -.48865 (172*2π)/3912 weeks
1731.163 -.87238 (173*2π)/3912 weeks
1741.62771 -1.10923 (174*2π)/3912 weeks
1752.07111 -1.00591 (175*2π)/3912 weeks
1762.24247 -.99441 (176*2π)/3912 weeks
1772.65212 -1.16411 (177*2π)/3912 weeks
1783.30867 -.84973 (178*2π)/3912 weeks
1793.45773 -.19142 (179*2π)/3912 weeks
1803.17191 .10495 (180*2π)/3912 weeks
1813.15305 .18745 (181*2π)/3912 weeks
1823.13 .4086 (182*2π)/3912 weeks
1832.92064 .57418 (183*2π)/3912 weeks
1842.92846 .5866 (184*2π)/3912 weeks
1852.89084 .84129 (185*2π)/3912 weeks
1862.46934 1.23489 (186*2π)/3912 weeks
1871.80489 1.01614 (187*2π)/3912 weeks
1881.6304 .475 (188*2π)/3912 weeks
1891.77055 .20867 (189*2π)/3912 weeks
1901.73261 .05295 (190*2π)/3912 weeks
1911.77885 -.26641 (191*2π)/3912 weeks
1922.0609 -.5351 (192*2π)/3912 weeks
1932.49077 -.55314 (193*2π)/3912 weeks
1942.71111 -.28681 (194*2π)/3912 weeks
1952.74969 -.06471 (195*2π)/3912 weeks
1962.74969 .06471 (196*2π)/3912 weeks
1972.71111 .28681 (197*2π)/3912 weeks
1982.49077 .55314 (198*2π)/3912 weeks
1992.0609 .5351 (199*2π)/3912 weeks
2001.77885 .26641 (200*2π)/3912 weeks
2011.73261 -.05295 (201*2π)/3912 weeks
2021.77055 -.20867 (202*2π)/3912 weeks
2031.6304 -.475 (203*2π)/3912 weeks
2041.80489 -1.01614 (204*2π)/3912 weeks
2052.46934 -1.23489 (205*2π)/3912 weeks
2062.89084 -.84129 (206*2π)/3912 weeks
2072.92846 -.5866 (207*2π)/3912 weeks
2082.92064 -.57418 (208*2π)/3912 weeks
2093.13 -.4086 (209*2π)/3912 weeks
2103.15305 -.18745 (210*2π)/3912 weeks
2113.17191 -.10495 (211*2π)/3912 weeks
2123.45773 .19142 (212*2π)/3912 weeks
2133.30867 .84973 (213*2π)/3912 weeks
2142.65212 1.16411 (214*2π)/3912 weeks
2152.24247 .99441 (215*2π)/3912 weeks
2162.07111 1.00591 (216*2π)/3912 weeks
2171.62771 1.10923 (217*2π)/3912 weeks
2181.163 .87238 (218*2π)/3912 weeks
219.89796 .48865 (219*2π)/3912 weeks
220.68453 .2278 (220*2π)/3912 weeks
221.39883 -.08691 (221*2π)/3912 weeks
222.20627 -.70533 (222*2π)/3912 weeks
223.29752 -1.33689 (223*2π)/3912 weeks
224.65473 -1.83762 (224*2π)/3912 weeks
225.97032 -2.1307 (225*2π)/3912 weeks
2261.31297 -2.47141 (226*2π)/3912 weeks
2271.88954 -2.74585 (227*2π)/3912 weeks
2282.52106 -2.70406 (228*2π)/3912 weeks
2293.01976 -2.41108 (229*2π)/3912 weeks
2303.25477 -2.04632 (230*2π)/3912 weeks
2313.39028 -1.85346 (231*2π)/3912 weeks
2323.58575 -1.43398 (232*2π)/3912 weeks
2333.4739 -1.02032 (233*2π)/3912 weeks
2343.11568 -.93645 (234*2π)/3912 weeks
2353.0754 -1.07382 (235*2π)/3912 weeks
2363.2411 -1.10378 (236*2π)/3912 weeks
2373.29107 -.89434 (237*2π)/3912 weeks
2383.20231 -.75369 (238*2π)/3912 weeks
2393.20666 -.77884 (239*2π)/3912 weeks
2403.24252 -.62581 (240*2π)/3912 weeks
2413.21503 -.50539 (241*2π)/3912 weeks
2423.18406 -.47436 (242*2π)/3912 weeks
2433.36866 -.2929 (243*2π)/3912 weeks
2443.32564 .2216 (244*2π)/3912 weeks
2452.83339 .74239 (245*2π)/3912 weeks
2462.09476 .78905 (246*2π)/3912 weeks
2471.48742 .53557 (247*2π)/3912 weeks
248.97968 .11055 (248*2π)/3912 weeks
249.64463 -.5916 (249*2π)/3912 weeks
250.7384 -1.32591 (250*2π)/3912 weeks
2511.11583 -1.8895 (251*2π)/3912 weeks
2521.52795 -2.14779 (252*2π)/3912 weeks
2532.02557 -2.40562 (253*2π)/3912 weeks
2542.72281 -2.4011 (254*2π)/3912 weeks
2553.21621 -1.89009 (255*2π)/3912 weeks
2563.34626 -1.36971 (256*2π)/3912 weeks
2573.22557 -.97902 (257*2π)/3912 weeks
2583.16625 -.61572 (258*2π)/3912 weeks
2592.92644 -.18136 (259*2π)/3912 weeks
2602.31369 .23799 (260*2π)/3912 weeks
2611.5113 .17968 (261*2π)/3911 weeks
262.86525 -.3013 (262*2π)/3911 weeks
263.52648 -.92106 (263*2π)/3911 weeks
264.43051 -1.52864 (264*2π)/3911 weeks
265.52059 -2.27033 (265*2π)/3911 weeks
266.79138 -2.90533 (266*2π)/3911 weeks
2671.52531 -3.32032 (267*2π)/3911 weeks
2682.18275 -3.33668 (268*2π)/3911 weeks
2692.50974 -3.23854 (269*2π)/3911 weeks
2703.03574 -3.20769 (270*2π)/3911 weeks
2713.62049 -2.94957 (271*2π)/3911 weeks
2723.97066 -2.36607 (272*2π)/3911 weeks
2734.03356 -1.63062 (273*2π)/3911 weeks
2743.88108 -1.19247 (274*2π)/3911 weeks
2753.65821 -.59721 (275*2π)/3911 weeks
2763.14282 .064 (276*2π)/3911 weeks
2772.16817 .23293 (277*2π)/3911 weeks
2781.28089 .10049 (278*2π)/3911 weeks
279.47983 -.41742 (279*2π)/3911 weeks
280-.2154 -1.30907 (280*2π)/3911 weeks
281-.31719 -2.50891 (281*2π)/3911 weeks
282.19701 -3.50543 (282*2π)/3911 weeks
283.83945 -4.11442 (283*2π)/3911 weeks
2841.59001 -4.44891 (284*2π)/3911 weeks
2852.39424 -4.66306 (285*2π)/3911 weeks
2863.27986 -4.42472 (286*2π)/3911 weeks
2873.79503 -3.9035 (287*2π)/3911 weeks
2884.12133 -3.51464 (288*2π)/3911 weeks
2894.53727 -3.04172 (289*2π)/3911 weeks
2904.68952 -2.20217 (290*2π)/3911 weeks
2914.53767 -1.31219 (291*2π)/3911 weeks
2923.79302 -.65968 (292*2π)/3911 weeks
2932.95714 -.46167 (293*2π)/3911 weeks
2942.25134 -.60523 (294*2π)/3911 weeks
2951.67046 -.94076 (295*2π)/3911 weeks
2961.1735 -1.37001 (296*2π)/3911 weeks
297.88272 -2.00728 (297*2π)/3911 weeks
298.90993 -2.88203 (298*2π)/3911 weeks
2991.46032 -3.40412 (299*2π)/3911 weeks
3001.89757 -3.66197 (300*2π)/3911 weeks
3012.54596 -3.86654 (301*2π)/3911 weeks
3023.51122 -3.51179 (302*2π)/3911 weeks
3033.7532 -2.46355 (303*2π)/3911 weeks
3043.27253 -1.51349 (304*2π)/3911 weeks
3052.55148 -1.26635 (305*2π)/3911 weeks
3061.90674 -1.04931 (306*2π)/3911 weeks
307.81217 -.93047 (307*2π)/3911 weeks
308-.39074 -1.83636 (308*2π)/3911 weeks
309-.82325 -3.33168 (309*2π)/3911 weeks
310-.54037 -4.50705 (310*2π)/3911 weeks
311.06092 -5.69972 (311*2π)/3911 weeks
3121.2797 -6.64317 (312*2π)/3911 weeks
3132.99099 -6.82065 (313*2π)/3911 weeks
3144.3914 -5.88979 (314*2π)/3911 weeks
3155.03546 -4.69246 (315*2π)/3911 weeks
3165.18902 -3.40752 (316*2π)/3911 weeks
3174.72617 -2.01139 (317*2π)/3911 weeks
3183.49194 -1.098 (318*2π)/3911 weeks
3192.16661 -.66534 (319*2π)/3911 weeks
320.49111 -1.10667 (320*2π)/3911 weeks
321-.73658 -2.03189 (321*2π)/3911 weeks
322-1.51023 -3.50852 (322*2π)/3911 weeks
323-1.78079 -5.15656 (323*2π)/3911 weeks
324-1.50936 -7.06229 (324*2π)/3911 weeks
325-.24102 -8.54805 (325*2π)/3911 weeks
3261.40314 -9.56422 (326*2π)/3911 weeks
3273.17661 -9.94616 (327*2π)/3911 weeks
3285.10234 -9.70273 (328*2π)/3911 weeks
3297.21792 -8.67196 (329*2π)/3911 weeks
3308.33679 -6.48111 (330*2π)/3911 weeks
3318.08373 -4.58618 (331*2π)/3911 weeks
3327.70517 -3.34042 (332*2π)/3911 weeks
3337.22186 -1.82375 (333*2π)/3911 weeks
3346.01964 -.32822 (334*2π)/3911 weeks
3353.90314 .31669 (335*2π)/3911 weeks
3362.02495 -.08691 (336*2π)/3911 weeks
337.81715 -.7483 (337*2π)/3911 weeks
338-.61954 -1.66255 (338*2π)/3911 weeks
339-1.49455 -3.58083 (339*2π)/3911 weeks
340-1.24105 -5.29465 (340*2π)/3911 weeks
341-.52287 -6.45246 (341*2π)/3911 weeks
342.35033 -7.18845 (342*2π)/3911 weeks
3431.3365 -7.34871 (343*2π)/3911 weeks
3441.7822 -7.26537 (344*2π)/3911 weeks
3452.28033 -6.75503 (345*2π)/3911 weeks
3461.84647 -6.72731 (346*2π)/3911 weeks
3471.53134 -6.965 (347*2π)/3911 weeks
3481.81467 -7.38158 (348*2π)/3911 weeks
3491.98153 -7.68373 (349*2π)/3911 weeks
3502.17335 -7.65845 (350*2π)/3911 weeks
3512.08439 -7.88578 (351*2π)/3911 weeks
3522.23781 -8.00862 (352*2π)/3911 weeks
3532.1697 -7.86074 (353*2π)/3911 weeks
3541.4341 -8.42968 (354*2π)/3911 weeks
3551.56585 -9.48205 (355*2π)/3911 weeks
3562.36231 -10.13169 (356*2π)/3911 weeks
3573.12377 -10.25394 (357*2π)/3911 weeks
3583.31152 -10.58872 (358*2π)/3911 weeks
3594.52084 -10.96035 (359*2π)/3911 weeks
3606.00585 -10.1902 (360*2π)/3911 weeks
3616.59437 -8.33349 (361*2π)/3911 weeks
3625.82544 -6.26686 (362*2π)/3911 weeks
3634.10547 -4.94767 (363*2π)/3911 weeks
3641.45193 -4.32939 (364*2π)/3911 weeks
365-1.42654 -4.82113 (365*2π)/3911 weeks
366-4.1969 -6.66363 (366*2π)/3911 weeks
367-6.31616 -9.83348 (367*2π)/3911 weeks
368-7.23023 -12.90694 (368*2π)/3911 weeks
369-7.45707 -16.84952 (369*2π)/3911 weeks
370-7.00841 -20.95614 (370*2π)/3911 weeks
371-4.01485 -24.78241 (371*2π)/3911 weeks
372-.60624 -27.30572 (372*2π)/3911 weeks
3732.9877 -28.0205 (373*2π)/3911 weeks
3746.07423 -27.98354 (374*2π)/3911 weeks
3758.75109 -27.06418 (375*2π)/3911 weeks
3769.97187 -25.13062 (376*2π)/3911 weeks
3779.08887 -23.26044 (377*2π)/3911 weeks
3786.49412 -23.81446 (378*2π)/3911 weeks
3794.41535 -26.36874 (379*2π)/3911 weeks
3803.0969 -30.46406 (380*2π)/3911 weeks
3813.01088 -36.13781 (381*2π)/3911 weeks
3824.1172 -44.48406 (382*2π)/3911 weeks
3839.95393 -52.8377 (383*2π)/3911 weeks
38420.48532 -59.31421 (384*2π)/3911 weeks
38529.27192 -63.49367 (385*2π)/3911 weeks
38644.67821 -68.16161 (386*2π)/3911 weeks
38760.82764 -66.78113 (387*2π)/3911 weeks
38878.72491 -59.72307 (388*2π)/3911 weeks
38997.31985 -49.91794 (389*2π)/3911 weeks



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