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Fourier Analysis of SII (SMITH INTL INC)


SII (SMITH INTL INC) appears to have interesting cyclic behaviour every 5 weeks (832.361*sine), 5 weeks (797.1348*sine), and 21 weeks (780.9049*cosine).

SII (SMITH INTL INC) has an average price of 21,660.48 (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 9/12/2012 to 1/9/2017 for SII (SMITH INTL INC), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
021,660.48   0 
1-1,709.85 -7,428.57 (1*2π)/227227 weeks
2-1,042.619 -1,454.072 (2*2π)/227114 weeks
31,229.828 -2,214.668 (3*2π)/22776 weeks
4-131.686 -2,816.599 (4*2π)/22757 weeks
5-2,593.097 -1,700.653 (5*2π)/22745 weeks
6471.6188 -476.4428 (6*2π)/22738 weeks
7-592.1309 -870.8092 (7*2π)/22732 weeks
8-696.3304 -951.1706 (8*2π)/22728 weeks
9-241.7524 -422.6068 (9*2π)/22725 weeks
10-98.16122 -508.21 (10*2π)/22723 weeks
11-780.9049 -48.99775 (11*2π)/22721 weeks
12112.8076 -366.4122 (12*2π)/22719 weeks
13-646.7317 -2.25049 (13*2π)/22717 weeks
14-632.0963 -21.19972 (14*2π)/22716 weeks
1527.96554 351.5706 (15*2π)/22715 weeks
164.49984 68.47179 (16*2π)/22714 weeks
17-215.5484 263.5714 (17*2π)/22713 weeks
18-243.7188 -230.5022 (18*2π)/22713 weeks
1927.7042 352.6476 (19*2π)/22712 weeks
20-202.6264 194.6936 (20*2π)/22711 weeks
21301.4661 -41.64127 (21*2π)/22711 weeks
22-108.3707 -99.67484 (22*2π)/22710 weeks
23-34.40583 637.0971 (23*2π)/22710 weeks
24457.588 323.8455 (24*2π)/2279 weeks
25596.1337 -37.6697 (25*2π)/2279 weeks
26229.8116 276.1375 (26*2π)/2279 weeks
27710.0535 -245.1118 (27*2π)/2278 weeks
28157.5682 -213.6421 (28*2π)/2278 weeks
29304.1907 149.5664 (29*2π)/2278 weeks
30721.6824 -187.9339 (30*2π)/2278 weeks
31294.0088 -591.1255 (31*2π)/2277 weeks
32407.0292 194.6088 (32*2π)/2277 weeks
33678.5151 -461.7208 (33*2π)/2277 weeks
34346.7455 -466.7324 (34*2π)/2277 weeks
35320.472 -268.4684 (35*2π)/2276 weeks
36381.2975 -432.6887 (36*2π)/2276 weeks
37238.8343 -589.8057 (37*2π)/2276 weeks
38163.524 -472.0536 (38*2π)/2276 weeks
3998.42997 -289.6936 (39*2π)/2276 weeks
40467.4771 -469.0782 (40*2π)/2276 weeks
41228.6103 -423.5544 (41*2π)/2276 weeks
42449.9767 -605.8781 (42*2π)/2275 weeks
43213.6623 -689.6356 (43*2π)/2275 weeks
44210.8292 -753.1611 (44*2π)/2275 weeks
4530.06979 -797.1348 (45*2π)/2275 weeks
46-195.9007 -832.361 (46*2π)/2275 weeks
47-215.1093 -454.3745 (47*2π)/2275 weeks
48-87.44022 -574.246 (48*2π)/2275 weeks
49-195.0387 -417.3354 (49*2π)/2275 weeks
50-65.23757 -553.3699 (50*2π)/2275 weeks
51-109.1278 -538.3589 (51*2π)/2274 weeks
52-301.4516 -590.9588 (52*2π)/2274 weeks
53-213.1741 -595.1051 (53*2π)/2274 weeks
54-452.5137 -673.7298 (54*2π)/2274 weeks
55-475.4148 -336.873 (55*2π)/2274 weeks
56-376.7807 -302.0043 (56*2π)/2274 weeks
57-289.0708 -483.4658 (57*2π)/2274 weeks
58-558.8542 -431.5945 (58*2π)/2274 weeks
59-275.0522 -137.7699 (59*2π)/2274 weeks
60-349.1303 -466.3017 (60*2π)/2274 weeks
61-579.5515 -422.6242 (61*2π)/2274 weeks
62-490.3074 -272.5084 (62*2π)/2274 weeks
63-574.8719 -202.3679 (63*2π)/2274 weeks
64-621.942 -58.40969 (64*2π)/2274 weeks
65-423.2763 -131.87 (65*2π)/2273 weeks
66-489.3665 -157.4709 (66*2π)/2273 weeks
67-686.6135 -37.35411 (67*2π)/2273 weeks
68-434.9527 202.9055 (68*2π)/2273 weeks
69-368.2477 -47.251 (69*2π)/2273 weeks
70-578.1801 84.45228 (70*2π)/2273 weeks
71-449.5815 293.3706 (71*2π)/2273 weeks
72-208.338 124.9775 (72*2π)/2273 weeks
73-354.5123 127.8993 (73*2π)/2273 weeks
74-221.1407 220.2298 (74*2π)/2273 weeks
75-249.3672 238.9831 (75*2π)/2273 weeks
76-155.7159 167.5484 (76*2π)/2273 weeks
77-224.8493 176.7683 (77*2π)/2273 weeks
78-56.47186 147.1489 (78*2π)/2273 weeks
79-238.8337 163.7318 (79*2π)/2273 weeks
80-84.76813 195.6894 (80*2π)/2273 weeks
81-93.60955 190.417 (81*2π)/2273 weeks
82-212.7804 145.0037 (82*2π)/2273 weeks
83-149.7243 346.1674 (83*2π)/2273 weeks
8452.78692 274.9519 (84*2π)/2273 weeks
85144.0489 81.69479 (85*2π)/2273 weeks
86-28.28413 11.31062 (86*2π)/2273 weeks
87-51.78764 69.20625 (87*2π)/2273 weeks
88-209.9519 198.8822 (88*2π)/2273 weeks
8924.21837 277.5883 (89*2π)/2273 weeks
9085.07534 131.6123 (90*2π)/2273 weeks
91120.7174 77.06834 (91*2π)/2272 weeks
92-21.40559 23.94993 (92*2π)/2272 weeks
9397.30318 96.8961 (93*2π)/2272 weeks
94124.2368 16.34739 (94*2π)/2272 weeks
95-18.87303 -109.0785 (95*2π)/2272 weeks
966.74885 44.47879 (96*2π)/2272 weeks
972.50515 8.8808 (97*2π)/2272 weeks
98-18.86963 -34.43519 (98*2π)/2272 weeks
99-36.73128 -33.39373 (99*2π)/2272 weeks
1002.88654 -22.5034 (100*2π)/2272 weeks
101-24.37529 -20.81312 (101*2π)/2272 weeks
10246.4259 -90.95703 (102*2π)/2272 weeks
10342.72894 -133.7051 (103*2π)/2272 weeks
104-137.1526 -227.8823 (104*2π)/2272 weeks
105-241.6973 71.35622 (105*2π)/2272 weeks
106106.6215 135.4658 (106*2π)/2272 weeks
107-82.15667 -145.3581 (107*2π)/2272 weeks
108-41.77578 15.82463 (108*2π)/2272 weeks
10997.07702 -55.14319 (109*2π)/2272 weeks
110-60.46439 -209.1656 (110*2π)/2272 weeks
111-207.4989 -240.6508 (111*2π)/2272 weeks
112-239.9502 31.50899 (112*2π)/2272 weeks
113-159.6714 65.17455 (113*2π)/2272 weeks
114-159.6714 -65.17455 (114*2π)/2272 weeks
115-239.9502 -31.50899 (115*2π)/2272 weeks
116-207.4989 240.6508 (116*2π)/2272 weeks
117-60.46439 209.1656 (117*2π)/2272 weeks
11897.07702 55.14319 (118*2π)/2272 weeks
119-41.77578 -15.82463 (119*2π)/2272 weeks
120-82.15667 145.3581 (120*2π)/2272 weeks
121106.6215 -135.4658 (121*2π)/2272 weeks
122-241.6973 -71.35622 (122*2π)/2272 weeks
123-137.1526 227.8823 (123*2π)/2272 weeks
12442.72894 133.7051 (124*2π)/2272 weeks
12546.4259 90.95703 (125*2π)/2272 weeks
126-24.37529 20.81312 (126*2π)/2272 weeks
1272.88654 22.5034 (127*2π)/2272 weeks
128-36.73128 33.39373 (128*2π)/2272 weeks
129-18.86963 34.43519 (129*2π)/2272 weeks
1302.50515 -8.8808 (130*2π)/2272 weeks
1316.74885 -44.47879 (131*2π)/2272 weeks
132-18.87303 109.0785 (132*2π)/2272 weeks
133124.2368 -16.34739 (133*2π)/2272 weeks
13497.30318 -96.8961 (134*2π)/2272 weeks
135-21.40559 -23.94993 (135*2π)/2272 weeks
136120.7174 -77.06834 (136*2π)/2272 weeks
13785.07534 -131.6123 (137*2π)/2272 weeks
13824.21837 -277.5883 (138*2π)/2272 weeks
139-209.9519 -198.8822 (139*2π)/2272 weeks
140-51.78764 -69.20625 (140*2π)/2272 weeks
141-28.28413 -11.31062 (141*2π)/2272 weeks
142144.0489 -81.69479 (142*2π)/2272 weeks
14352.78692 -274.9519 (143*2π)/2272 weeks
144-149.7243 -346.1674 (144*2π)/2272 weeks
145-212.7804 -145.0037 (145*2π)/2272 weeks
146-93.60955 -190.417 (146*2π)/2272 weeks
147-84.76813 -195.6894 (147*2π)/2272 weeks
148-238.8337 -163.7318 (148*2π)/2272 weeks
149-56.47186 -147.1489 (149*2π)/2272 weeks
150-224.8493 -176.7683 (150*2π)/2272 weeks
151-155.7159 -167.5484 (151*2π)/2272 weeks
152-249.3672 -238.9831 (152*2π)/2271 weeks
153-221.1407 -220.2298 (153*2π)/2271 weeks
154-354.5123 -127.8993 (154*2π)/2271 weeks
155-208.338 -124.9775 (155*2π)/2271 weeks
156-449.5815 -293.3706 (156*2π)/2271 weeks
157-578.1801 -84.45228 (157*2π)/2271 weeks
158-368.2477 47.251 (158*2π)/2271 weeks
159-434.9527 -202.9055 (159*2π)/2271 weeks
160-686.6135 37.35411 (160*2π)/2271 weeks
161-489.3665 157.4709 (161*2π)/2271 weeks
162-423.2763 131.87 (162*2π)/2271 weeks
163-621.942 58.40969 (163*2π)/2271 weeks
164-574.8719 202.3679 (164*2π)/2271 weeks
165-490.3074 272.5084 (165*2π)/2271 weeks
166-579.5515 422.6242 (166*2π)/2271 weeks
167-349.1303 466.3017 (167*2π)/2271 weeks
168-275.0522 137.7699 (168*2π)/2271 weeks
169-558.8542 431.5945 (169*2π)/2271 weeks
170-289.0708 483.4658 (170*2π)/2271 weeks
171-376.7807 302.0043 (171*2π)/2271 weeks
172-475.4148 336.873 (172*2π)/2271 weeks
173-452.5137 673.7298 (173*2π)/2271 weeks
174-213.1741 595.1051 (174*2π)/2271 weeks
175-301.4516 590.9588 (175*2π)/2271 weeks
176-109.1278 538.3589 (176*2π)/2271 weeks
177-65.23757 553.3699 (177*2π)/2271 weeks
178-195.0387 417.3354 (178*2π)/2271 weeks
179-87.44022 574.246 (179*2π)/2271 weeks
180-215.1093 454.3745 (180*2π)/2271 weeks
181-195.9007 832.361 (181*2π)/2271 weeks
18230.06979 797.1348 (182*2π)/2271 weeks
183210.8292 753.1611 (183*2π)/2271 weeks
184213.6623 689.6356 (184*2π)/2271 weeks
185449.9767 605.8781 (185*2π)/2271 weeks
186228.6103 423.5544 (186*2π)/2271 weeks
187467.4771 469.0782 (187*2π)/2271 weeks
18898.42997 289.6936 (188*2π)/2271 weeks
189163.524 472.0536 (189*2π)/2271 weeks
190238.8343 589.8057 (190*2π)/2271 weeks
191381.2975 432.6887 (191*2π)/2271 weeks
192320.472 268.4684 (192*2π)/2271 weeks
193346.7455 466.7324 (193*2π)/2271 weeks
194678.5151 461.7208 (194*2π)/2271 weeks
195407.0292 -194.6088 (195*2π)/2271 weeks
196294.0088 591.1255 (196*2π)/2271 weeks
197721.6824 187.9339 (197*2π)/2271 weeks
198304.1907 -149.5664 (198*2π)/2271 weeks
199157.5682 213.6421 (199*2π)/2271 weeks
200710.0535 245.1118 (200*2π)/2271 weeks
201229.8116 -276.1375 (201*2π)/2271 weeks
202596.1337 37.6697 (202*2π)/2271 weeks
203457.588 -323.8455 (203*2π)/2271 weeks
204-34.40583 -637.0971 (204*2π)/2271 weeks
205-108.3707 99.67484 (205*2π)/2271 weeks
206301.4661 41.64127 (206*2π)/2271 weeks
207-202.6264 -194.6936 (207*2π)/2271 weeks
20827.7042 -352.6476 (208*2π)/2271 weeks
209-243.7188 230.5022 (209*2π)/2271 weeks
210-215.5484 -263.5714 (210*2π)/2271 weeks
2114.49984 -68.47179 (211*2π)/2271 weeks
21227.96554 -351.5706 (212*2π)/2271 weeks
213-632.0963 21.19972 (213*2π)/2271 weeks
214-646.7317 2.25049 (214*2π)/2271 weeks
215112.8076 366.4122 (215*2π)/2271 weeks
216-780.9049 48.99775 (216*2π)/2271 weeks
217-98.16122 508.21 (217*2π)/2271 weeks
218-241.7524 422.6068 (218*2π)/2271 weeks
219-696.3304 951.1706 (219*2π)/2271 weeks
220-592.1309 870.8092 (220*2π)/2271 weeks
221471.6188 476.4428 (221*2π)/2271 weeks
222-2,593.097 1,700.653 (222*2π)/2271 weeks
223-131.686 2,816.599 (223*2π)/2271 weeks
2241,229.828 2,214.668 (224*2π)/2271 weeks
225-1,042.619 1,454.072 (225*2π)/2271 weeks

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