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Fourier Analysis of MDBS (MASTER DISTRIB SYSTM)


MDBS (MASTER DISTRIB SYSTM) appears to have interesting cyclic behaviour every 10 weeks (*sine), 6 weeks (*cosine), and 2 weeks (*cosine).

MDBS (MASTER DISTRIB SYSTM) has an average price of (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 7/29/2010 to 2/17/2014 for MDBS (MASTER DISTRIB SYSTM), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0.00048   0 
1.0003   (1*2π)/136136 weeks
2-.00001 .00014 (2*2π)/13668 weeks
3.00003 .00004 (3*2π)/13645 weeks
4-.00007 .00009 (4*2π)/13634 weeks
5-.00001 .00006 (5*2π)/13627 weeks
6.00002 -.00003 (6*2π)/13623 weeks
7.00002 .00005 (7*2π)/13619 weeks
8-.00002 .00004 (8*2π)/13617 weeks
9-.00002 .00004 (9*2π)/13615 weeks
10    (10*2π)/13614 weeks
11-.00003   (11*2π)/13612 weeks
12.00001 -.00001 (12*2π)/13611 weeks
13-.00001 -.00002 (13*2π)/13610 weeks
14.00001 .00004 (14*2π)/13610 weeks
15  -.00001 (15*2π)/1369 weeks
16-.00003   (16*2π)/1369 weeks
17.00001 .00001 (17*2π)/1368 weeks
18-.00002   (18*2π)/1368 weeks
19  .00001 (19*2π)/1367 weeks
20  -.00001 (20*2π)/1367 weeks
21-.00002 -.00001 (21*2π)/1366 weeks
22.00001 -.00002 (22*2π)/1366 weeks
23.00001 -.00001 (23*2π)/1366 weeks
24.00003   (24*2π)/1366 weeks
25.00001 -.00001 (25*2π)/1365 weeks
26  .00002 (26*2π)/1365 weeks
27.00001   (27*2π)/1365 weeks
28    (28*2π)/1365 weeks
29.00001 .00001 (29*2π)/1365 weeks
30    (30*2π)/1365 weeks
31-.00001 .00001 (31*2π)/1364 weeks
32.00001   (32*2π)/1364 weeks
33.00001   (33*2π)/1364 weeks
34.00001   (34*2π)/1364 weeks
35.00002 .00001 (35*2π)/1364 weeks
36.00001 .00003 (36*2π)/1364 weeks
37-.00001 .00001 (37*2π)/1364 weeks
38    (38*2π)/1364 weeks
39    (39*2π)/1363 weeks
40-.00001   (40*2π)/1363 weeks
41.00001   (41*2π)/1363 weeks
42.00001   (42*2π)/1363 weeks
43-.00001 .00001 (43*2π)/1363 weeks
44    (44*2π)/1363 weeks
45    (45*2π)/1363 weeks
46.00001 .00001 (46*2π)/1363 weeks
47    (47*2π)/1363 weeks
48-.00001 .00001 (48*2π)/1363 weeks
49  -.00001 (49*2π)/1363 weeks
50    (50*2π)/1363 weeks
51.00001   (51*2π)/1363 weeks
52-.00001 -.00001 (52*2π)/1363 weeks
53  .00001 (53*2π)/1363 weeks
54.00001   (54*2π)/1363 weeks
55-.00001   (55*2π)/1362 weeks
56.00001 -.00001 (56*2π)/1362 weeks
57  -.00001 (57*2π)/1362 weeks
58.00001 .00001 (58*2π)/1362 weeks
59  -.00001 (59*2π)/1362 weeks
60    (60*2π)/1362 weeks
61.00001 -.00001 (61*2π)/1362 weeks
62-.00001   (62*2π)/1362 weeks
63.00001 .00001 (63*2π)/1362 weeks
64  -.00001 (64*2π)/1362 weeks
65    (65*2π)/1362 weeks
66  -.00001 (66*2π)/1362 weeks
67    (67*2π)/1362 weeks
68.00002   (68*2π)/1362 weeks
69    (69*2π)/1362 weeks
70  .00001 (70*2π)/1362 weeks
71    (71*2π)/1362 weeks
72  .00001 (72*2π)/1362 weeks
73.00001 -.00001 (73*2π)/1362 weeks
74-.00001   (74*2π)/1362 weeks
75.00001 .00001 (75*2π)/1362 weeks
76    (76*2π)/1362 weeks
77  .00001 (77*2π)/1362 weeks
78.00001 -.00001 (78*2π)/1362 weeks
79  .00001 (79*2π)/1362 weeks
80.00001 .00001 (80*2π)/1362 weeks
81-.00001   (81*2π)/1362 weeks
82.00001   (82*2π)/1362 weeks
83  -.00001 (83*2π)/1362 weeks
84-.00001 .00001 (84*2π)/1362 weeks
85.00001   (85*2π)/1362 weeks
86    (86*2π)/1362 weeks
87  .00001 (87*2π)/1362 weeks
88-.00001 -.00001 (88*2π)/1362 weeks
89    (89*2π)/1362 weeks
90.00001 -.00001 (90*2π)/1362 weeks
91    (91*2π)/1361 weeks
92    (92*2π)/1361 weeks
93-.00001 -.00001 (93*2π)/1361 weeks
94.00001   (94*2π)/1361 weeks
95.00001   (95*2π)/1361 weeks
96-.00001   (96*2π)/1361 weeks
97    (97*2π)/1361 weeks
98    (98*2π)/1361 weeks
99-.00001 -.00001 (99*2π)/1361 weeks
100.00001 -.00003 (100*2π)/1361 weeks
101.00002 -.00001 (101*2π)/1361 weeks
102.00001   (102*2π)/1361 weeks
103.00001   (103*2π)/1361 weeks
104.00001   (104*2π)/1361 weeks
105-.00001 -.00001 (105*2π)/1361 weeks
106    (106*2π)/1361 weeks
107.00001 -.00001 (107*2π)/1361 weeks
108    (108*2π)/1361 weeks
109.00001   (109*2π)/1361 weeks
110  -.00002 (110*2π)/1361 weeks
111.00001 .00001 (111*2π)/1361 weeks
112.00003   (112*2π)/1361 weeks
113.00001 .00001 (113*2π)/1361 weeks
114.00001 .00002 (114*2π)/1361 weeks
115-.00002 .00001 (115*2π)/1361 weeks
116  .00001 (116*2π)/1361 weeks
117  -.00001 (117*2π)/1361 weeks
118-.00002   (118*2π)/1361 weeks
119.00001 -.00001 (119*2π)/1361 weeks
120-.00003   (120*2π)/1361 weeks
121  .00001 (121*2π)/1361 weeks
122.00001 -.00004 (122*2π)/1361 weeks
123-.00001 .00002 (123*2π)/1361 weeks
124.00001 .00001 (124*2π)/1361 weeks
125-.00003   (125*2π)/1361 weeks
126    (126*2π)/1361 weeks
127-.00002 -.00004 (127*2π)/1361 weeks
128-.00002 -.00004 (128*2π)/1361 weeks
129.00002 -.00005 (129*2π)/1361 weeks
130.00002 .00003 (130*2π)/1361 weeks
131-.00001 -.00006 (131*2π)/1361 weeks
132-.00007 -.00009 (132*2π)/1361 weeks
133.00003 -.00004 (133*2π)/1361 weeks
134-.00001 -.00014 (134*2π)/1361 weeks

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