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Fourier Analysis of TMR (MERIDIAN RES CP)


TMR (MERIDIAN RES CP) appears to have interesting cyclic behaviour every 28 weeks (35.138*cosine), 21 weeks (34.3778*sine), and 26 weeks (32.2557*sine).

TMR (MERIDIAN RES CP) has an average price of 516.81 (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 12/12/2007 to 1/16/2017 for TMR (MERIDIAN RES CP), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0516.807   0 
1-271.9266 -118.4112 (1*2π)/311311 weeks
240.67228 -351.1832 (2*2π)/311156 weeks
3137.5927 56.58184 (3*2π)/311104 weeks
4-131.0786 -30.8419 (4*2π)/31178 weeks
530.25201 -109.025 (5*2π)/31162 weeks
620.63923 -35.25576 (6*2π)/31152 weeks
75.27058 -1.51838 (7*2π)/31144 weeks
8-61.28082 -25.20095 (8*2π)/31139 weeks
933.94489 -74.37507 (9*2π)/31135 weeks
1010.2276 31.13218 (10*2π)/31131 weeks
11-35.13795 -30.55288 (11*2π)/31128 weeks
12-3.74179 -32.25565 (12*2π)/31126 weeks
1312.9104 -13.13167 (13*2π)/31124 weeks
14-.66725 17.59058 (14*2π)/31122 weeks
15-25.89068 -34.37782 (15*2π)/31121 weeks
1622.49341 -25.46999 (16*2π)/31119 weeks
17-4.38478 12.4528 (17*2π)/31118 weeks
18-13.96371 -11.9016 (18*2π)/31117 weeks
19.62002 -22.58138 (19*2π)/31116 weeks
2016.94896 -11.55708 (20*2π)/31116 weeks
21-12.70954 10.60708 (21*2π)/31115 weeks
22-14.52136 -33.41594 (22*2π)/31114 weeks
2316.79843 -2.58127 (23*2π)/31114 weeks
24-5.91761 -1.05899 (24*2π)/31113 weeks
25-6.07569 -8.84894 (25*2π)/31112 weeks
26-5.57537 -22.04612 (26*2π)/31112 weeks
2713.69002 -1.84861 (27*2π)/31112 weeks
28-17.58588 4.5485 (28*2π)/31111 weeks
29-2.66782 -23.23636 (29*2π)/31111 weeks
309.30119 -3.7299 (30*2π)/31110 weeks
31-6.54231 -1.8738 (31*2π)/31110 weeks
32-9.12474 -6.4507 (32*2π)/31110 weeks
33-1.86842 -15.4641 (33*2π)/3119 weeks
3413.69494 .75723 (34*2π)/3119 weeks
35-22.7669 -1.33629 (35*2π)/3119 weeks
365.98406 -19.64296 (36*2π)/3119 weeks
37-6.07132 2.02292 (37*2π)/3118 weeks
384.66517 -1.86535 (38*2π)/3118 weeks
39-17.68507 -2.52095 (39*2π)/3118 weeks
4010.60705 -19.61416 (40*2π)/3118 weeks
41-4.47468 13.56892 (41*2π)/3118 weeks
42-7.7954 -12.97626 (42*2π)/3117 weeks
43-3.54552 -1.35824 (43*2π)/3117 weeks
446.35788 -9.34514 (44*2π)/3117 weeks
45-4.93001 8.86358 (45*2π)/3117 weeks
46-9.26036 -16.2675 (46*2π)/3117 weeks
474.31553 -1.75535 (47*2π)/3117 weeks
48-1.07527 2.22474 (48*2π)/3116 weeks
49-7.43168 -.90127 (49*2π)/3116 weeks
502.43528 -13.07483 (50*2π)/3116 weeks
511.00749 .85735 (51*2π)/3116 weeks
52-4.04181 .04993 (52*2π)/3116 weeks
53-9.11617 -7.17283 (53*2π)/3116 weeks
5410.15052 -5.84168 (54*2π)/3116 weeks
55-6.2094 3.45792 (55*2π)/3116 weeks
56-3.83417 -7.26998 (56*2π)/3116 weeks
57-4.31522 -5.1521 (57*2π)/3115 weeks
588.45264 -2.71842 (58*2π)/3115 weeks
59-12.07712 5.01448 (59*2π)/3115 weeks
60.35815 -15.27691 (60*2π)/3115 weeks
612.21518 3.09015 (61*2π)/3115 weeks
62-4.07495 -4.15033 (62*2π)/3115 weeks
63-5.7096 .17577 (63*2π)/3115 weeks
64-1.01938 -11.00955 (64*2π)/3115 weeks
653.94828 4.70545 (65*2π)/3115 weeks
66-9.85164 -1.74893 (66*2π)/3115 weeks
67-.62225 -9.21219 (67*2π)/3115 weeks
681.97689 .55201 (68*2π)/3115 weeks
69-4.31438 .38413 (69*2π)/3115 weeks
70-5.96765 -2.99815 (70*2π)/3114 weeks
713.15109 -8.68917 (71*2π)/3114 weeks
72-1.56567 6.37875 (72*2π)/3114 weeks
73-6.77081 -6.86315 (73*2π)/3114 weeks
74-2.15677 .02392 (74*2π)/3114 weeks
753.56034 -5.95507 (75*2π)/3114 weeks
76-3.02051 8.38406 (76*2π)/3114 weeks
77-7.00017 -13.10601 (77*2π)/3114 weeks
785.70356 1.54462 (78*2π)/3114 weeks
79-4.46393 -.83661 (79*2π)/3114 weeks
80-2.82349 .08975 (80*2π)/3114 weeks
81-1.73239 -9.8083 (81*2π)/3114 weeks
823.17726 2.03876 (82*2π)/3114 weeks
83-7.69922 -1.90453 (83*2π)/3114 weeks
84-4.64932 -2.63978 (84*2π)/3114 weeks
854.97118 -6.02707 (85*2π)/3114 weeks
86-4.62815 7.1938 (86*2π)/3114 weeks
87-4.82703 -9.85508 (87*2π)/3114 weeks
88.37093 1.04877 (88*2π)/3114 weeks
89.12029 -5.21479 (89*2π)/3113 weeks
90-5.38109 6.7885 (90*2π)/3113 weeks
91-3.54443 -13.47834 (91*2π)/3113 weeks
923.38727 5.98736 (92*2π)/3113 weeks
93-5.63516 -5.64015 (93*2π)/3113 weeks
94-4.30131 3.77695 (94*2π)/3113 weeks
95-.26367 -12.04057 (95*2π)/3113 weeks
961.21049 9.53388 (96*2π)/3113 weeks
97-9.63847 -7.382 (97*2π)/3113 weeks
983.01266 -.27371 (98*2π)/3113 weeks
99-4.45758 -4.50777 (99*2π)/3113 weeks
100.47427 4.8058 (100*2π)/3113 weeks
101-10.2909 -5.60769 (101*2π)/3113 weeks
1024.94307 -1.41853 (102*2π)/3113 weeks
103-3.18747 2.52946 (103*2π)/3113 weeks
104-5.5871 -1.11664 (104*2π)/3113 weeks
105-.74525 -4.88605 (105*2π)/3113 weeks
1061.16455 2.26861 (106*2π)/3113 weeks
107-4.08822 -.15881 (107*2π)/3113 weeks
108-4.93092 -3.33772 (108*2π)/3113 weeks
1092.46836 -3.2785 (109*2π)/3113 weeks
110-3.82682 4.80034 (110*2π)/3113 weeks
111-3.72272 -3.3317 (111*2π)/3113 weeks
112-1.42896 -3.43276 (112*2π)/3113 weeks
1131.38708 .89686 (113*2π)/3113 weeks
114-6.49359 1.92164 (114*2π)/3113 weeks
115-1.90473 -4.36059 (115*2π)/3113 weeks
1162.26516 -1.88247 (116*2π)/3113 weeks
117-4.00138 3.16239 (117*2π)/3113 weeks
118-5.76371 -4.07435 (118*2π)/3113 weeks
1191.30448 -.44239 (119*2π)/3113 weeks
120-1.11602 -1.26349 (120*2π)/3113 weeks
121-4.1113 4.39233 (121*2π)/3113 weeks
122-4.4393 -9.21632 (122*2π)/3113 weeks
1234.51596 4.86378 (123*2π)/3113 weeks
124-7.99596 -1.67981 (124*2π)/3113 weeks
125.55941 .59149 (125*2π)/3112 weeks
126-4.90333 -7.34416 (126*2π)/3112 weeks
1274.19727 7.50067 (127*2π)/3112 weeks
128-12.76506 -4.58811 (128*2π)/3112 weeks
1296.03771 .66066 (129*2π)/3112 weeks
130-6.576 -2.14597 (130*2π)/3112 weeks
1313.33944 4.92257 (131*2π)/3112 weeks
132-11.89131 -4.97628 (132*2π)/3112 weeks
1338.73047 -.40036 (133*2π)/3112 weeks
134-7.8469 3.92277 (134*2π)/3112 weeks
135.23887 -2.93164 (135*2π)/3112 weeks
136-4.95159 -2.53223 (136*2π)/3112 weeks
1373.49742 1.69248 (137*2π)/3112 weeks
138-7.98592 1.11355 (138*2π)/3112 weeks
139-.07382 -1.27713 (139*2π)/3112 weeks
140-1.64322 -3.21096 (140*2π)/3112 weeks
1411.16814 6.62905 (141*2π)/3112 weeks
142-8.59996 -4.84936 (142*2π)/3112 weeks
1434.81284 -.28197 (143*2π)/3112 weeks
144-3.96463 -.20803 (144*2π)/3112 weeks
145-1.47325 2.81786 (145*2π)/3112 weeks
146-5.67503 -5.60824 (146*2π)/3112 weeks
1475.13487 1.68812 (147*2π)/3112 weeks
148-7.94466 .517 (148*2π)/3112 weeks
149-.33236 -.09874 (149*2π)/3112 weeks
150-4.18282 -3.70737 (150*2π)/3112 weeks
1514.04911 3.45535 (151*2π)/3112 weeks
152-9.47341 1.00559 (152*2π)/3112 weeks
1531.29666 -6.05677 (153*2π)/3112 weeks
154-1.35605 3.9465 (154*2π)/3112 weeks
155-3.67836 -.01693 (155*2π)/3112 weeks
156-3.67836 .01693 (156*2π)/3112 weeks
157-1.35605 -3.9465 (157*2π)/3112 weeks
1581.29666 6.05677 (158*2π)/3112 weeks
159-9.47341 -1.00559 (159*2π)/3112 weeks
1604.04911 -3.45535 (160*2π)/3112 weeks
161-4.18282 3.70737 (161*2π)/3112 weeks
162-.33236 .09874 (162*2π)/3112 weeks
163-7.94466 -.517 (163*2π)/3112 weeks
1645.13487 -1.68812 (164*2π)/3112 weeks
165-5.67503 5.60824 (165*2π)/3112 weeks
166-1.47325 -2.81786 (166*2π)/3112 weeks
167-3.96463 .20803 (167*2π)/3112 weeks
1684.81284 .28197 (168*2π)/3112 weeks
169-8.59996 4.84936 (169*2π)/3112 weeks
1701.16814 -6.62905 (170*2π)/3112 weeks
171-1.64322 3.21096 (171*2π)/3112 weeks
172-.07382 1.27713 (172*2π)/3112 weeks
173-7.98592 -1.11355 (173*2π)/3112 weeks
1743.49742 -1.69248 (174*2π)/3112 weeks
175-4.95159 2.53223 (175*2π)/3112 weeks
176.23887 2.93164 (176*2π)/3112 weeks
177-7.8469 -3.92277 (177*2π)/3112 weeks
1788.73047 .40036 (178*2π)/3112 weeks
179-11.89131 4.97628 (179*2π)/3112 weeks
1803.33944 -4.92257 (180*2π)/3112 weeks
181-6.576 2.14597 (181*2π)/3112 weeks
1826.03771 -.66066 (182*2π)/3112 weeks
183-12.76506 4.58811 (183*2π)/3112 weeks
1844.19727 -7.50067 (184*2π)/3112 weeks
185-4.90333 7.34416 (185*2π)/3112 weeks
186.55941 -.59149 (186*2π)/3112 weeks
187-7.99596 1.67981 (187*2π)/3112 weeks
1884.51596 -4.86378 (188*2π)/3112 weeks
189-4.4393 9.21632 (189*2π)/3112 weeks
190-4.1113 -4.39233 (190*2π)/3112 weeks
191-1.11602 1.26349 (191*2π)/3112 weeks
1921.30448 .44239 (192*2π)/3112 weeks
193-5.76371 4.07435 (193*2π)/3112 weeks
194-4.00138 -3.16239 (194*2π)/3112 weeks
1952.26516 1.88247 (195*2π)/3112 weeks
196-1.90473 4.36059 (196*2π)/3112 weeks
197-6.49359 -1.92164 (197*2π)/3112 weeks
1981.38708 -.89686 (198*2π)/3112 weeks
199-1.42896 3.43276 (199*2π)/3112 weeks
200-3.72272 3.3317 (200*2π)/3112 weeks
201-3.82682 -4.80034 (201*2π)/3112 weeks
2022.46836 3.2785 (202*2π)/3112 weeks
203-4.93092 3.33772 (203*2π)/3112 weeks
204-4.08822 .15881 (204*2π)/3112 weeks
2051.16455 -2.26861 (205*2π)/3112 weeks
206-.74525 4.88605 (206*2π)/3112 weeks
207-5.5871 1.11664 (207*2π)/3112 weeks
208-3.18747 -2.52946 (208*2π)/3111 weeks
2094.94307 1.41853 (209*2π)/3111 weeks
210-10.2909 5.60769 (210*2π)/3111 weeks
211.47427 -4.8058 (211*2π)/3111 weeks
212-4.45758 4.50777 (212*2π)/3111 weeks
2133.01266 .27371 (213*2π)/3111 weeks
214-9.63847 7.382 (214*2π)/3111 weeks
2151.21049 -9.53388 (215*2π)/3111 weeks
216-.26367 12.04057 (216*2π)/3111 weeks
217-4.30131 -3.77695 (217*2π)/3111 weeks
218-5.63516 5.64015 (218*2π)/3111 weeks
2193.38727 -5.98736 (219*2π)/3111 weeks
220-3.54443 13.47834 (220*2π)/3111 weeks
221-5.38109 -6.7885 (221*2π)/3111 weeks
222.12029 5.21479 (222*2π)/3111 weeks
223.37093 -1.04877 (223*2π)/3111 weeks
224-4.82703 9.85508 (224*2π)/3111 weeks
225-4.62815 -7.1938 (225*2π)/3111 weeks
2264.97118 6.02707 (226*2π)/3111 weeks
227-4.64932 2.63978 (227*2π)/3111 weeks
228-7.69922 1.90453 (228*2π)/3111 weeks
2293.17726 -2.03876 (229*2π)/3111 weeks
230-1.73239 9.8083 (230*2π)/3111 weeks
231-2.82349 -.08975 (231*2π)/3111 weeks
232-4.46393 .83661 (232*2π)/3111 weeks
2335.70356 -1.54462 (233*2π)/3111 weeks
234-7.00017 13.10601 (234*2π)/3111 weeks
235-3.02051 -8.38406 (235*2π)/3111 weeks
2363.56034 5.95507 (236*2π)/3111 weeks
237-2.15677 -.02392 (237*2π)/3111 weeks
238-6.77081 6.86315 (238*2π)/3111 weeks
239-1.56567 -6.37875 (239*2π)/3111 weeks
2403.15109 8.68917 (240*2π)/3111 weeks
241-5.96765 2.99815 (241*2π)/3111 weeks
242-4.31438 -.38413 (242*2π)/3111 weeks
2431.97689 -.55201 (243*2π)/3111 weeks
244-.62225 9.21219 (244*2π)/3111 weeks
245-9.85164 1.74893 (245*2π)/3111 weeks
2463.94828 -4.70545 (246*2π)/3111 weeks
247-1.01938 11.00955 (247*2π)/3111 weeks
248-5.7096 -.17577 (248*2π)/3111 weeks
249-4.07495 4.15033 (249*2π)/3111 weeks
2502.21518 -3.09015 (250*2π)/3111 weeks
251.35815 15.27691 (251*2π)/3111 weeks
252-12.07712 -5.01448 (252*2π)/3111 weeks
2538.45264 2.71842 (253*2π)/3111 weeks
254-4.31522 5.1521 (254*2π)/3111 weeks
255-3.83417 7.26998 (255*2π)/3111 weeks
256-6.2094 -3.45792 (256*2π)/3111 weeks
25710.15052 5.84168 (257*2π)/3111 weeks
258-9.11617 7.17283 (258*2π)/3111 weeks
259-4.04181 -.04993 (259*2π)/3111 weeks
2601.00749 -.85735 (260*2π)/3111 weeks
2612.43528 13.07483 (261*2π)/3111 weeks
262-7.43168 .90127 (262*2π)/3111 weeks
263-1.07527 -2.22474 (263*2π)/3111 weeks
2644.31553 1.75535 (264*2π)/3111 weeks
265-9.26036 16.2675 (265*2π)/3111 weeks
266-4.93001 -8.86358 (266*2π)/3111 weeks
2676.35788 9.34514 (267*2π)/3111 weeks
268-3.54552 1.35824 (268*2π)/3111 weeks
269-7.7954 12.97626 (269*2π)/3111 weeks
270-4.47468 -13.56892 (270*2π)/3111 weeks
27110.60705 19.61416 (271*2π)/3111 weeks
272-17.68507 2.52095 (272*2π)/3111 weeks
2734.66517 1.86535 (273*2π)/3111 weeks
274-6.07132 -2.02292 (274*2π)/3111 weeks
2755.98406 19.64296 (275*2π)/3111 weeks
276-22.7669 1.33629 (276*2π)/3111 weeks
27713.69494 -.75723 (277*2π)/3111 weeks
278-1.86842 15.4641 (278*2π)/3111 weeks
279-9.12474 6.4507 (279*2π)/3111 weeks
280-6.54231 1.8738 (280*2π)/3111 weeks
2819.30119 3.7299 (281*2π)/3111 weeks
282-2.66782 23.23636 (282*2π)/3111 weeks
283-17.58588 -4.5485 (283*2π)/3111 weeks
28413.69002 1.84861 (284*2π)/3111 weeks
285-5.57537 22.04612 (285*2π)/3111 weeks
286-6.07569 8.84894 (286*2π)/3111 weeks
287-5.91761 1.05899 (287*2π)/3111 weeks
28816.79843 2.58127 (288*2π)/3111 weeks
289-14.52136 33.41594 (289*2π)/3111 weeks
290-12.70954 -10.60708 (290*2π)/3111 weeks
29116.94896 11.55708 (291*2π)/3111 weeks
292.62002 22.58138 (292*2π)/3111 weeks
293-13.96371 11.9016 (293*2π)/3111 weeks
294-4.38478 -12.4528 (294*2π)/3111 weeks
29522.49341 25.46999 (295*2π)/3111 weeks
296-25.89068 34.37782 (296*2π)/3111 weeks
297-.66725 -17.59058 (297*2π)/3111 weeks
29812.9104 13.13167 (298*2π)/3111 weeks
299-3.74179 32.25565 (299*2π)/3111 weeks
300-35.13795 30.55288 (300*2π)/3111 weeks
30110.2276 -31.13218 (301*2π)/3111 weeks
30233.94489 74.37507 (302*2π)/3111 weeks
303-61.28082 25.20095 (303*2π)/3111 weeks
3045.27058 1.51838 (304*2π)/3111 weeks
30520.63923 35.25576 (305*2π)/3111 weeks
30630.25201 109.025 (306*2π)/3111 weeks
307-131.0786 30.8419 (307*2π)/3111 weeks
308137.5927 -56.58184 (308*2π)/3111 weeks
30940.67228 351.1832 (309*2π)/3111 weeks

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