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Fourier Analysis of FSTR (L.B. Foster Company)


FSTR (L.B. Foster Company) appears to have interesting cyclic behaviour every 187 weeks (2.0039*sine), 170 weeks (1.7047*sine), and 156 weeks (1.4838*cosine).

FSTR (L.B. Foster Company) has an average price of 13.17 (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 6/9/1981 to 3/13/2017 for FSTR (L.B. Foster Company), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
013.17204   0 
18.70296 -12.58718 (1*2π)/18661,866 weeks
2-2.54037 -7.67597 (2*2π)/1866933 weeks
3-1.9151 -1.30453 (3*2π)/1866622 weeks
4.26943 -2.75384 (4*2π)/1866467 weeks
5-2.52246 -2.35179 (5*2π)/1866373 weeks
6-3.22665 .54065 (6*2π)/1866311 weeks
7-1.49654 1.58219 (7*2π)/1866267 weeks
8-.29938 .50919 (8*2π)/1866233 weeks
9-.65198 1.03014 (9*2π)/1866207 weeks
10.16741 2.00391 (10*2π)/1866187 weeks
111.31168 1.70468 (11*2π)/1866170 weeks
121.48379 .15443 (12*2π)/1866156 weeks
13.28796 -.24843 (13*2π)/1866144 weeks
14.07801 .51476 (14*2π)/1866133 weeks
15.64215 .99112 (15*2π)/1866124 weeks
161.12123 .50994 (16*2π)/1866117 weeks
17.65879 -.48306 (17*2π)/1866110 weeks
18.36232 .08582 (18*2π)/1866104 weeks
19.91557 -.40136 (19*2π)/186698 weeks
20.2743 -1.15701 (20*2π)/186693 weeks
21-.98958 -.4478 (21*2π)/186689 weeks
22-.70794 .66593 (22*2π)/186685 weeks
23.27367 .33641 (23*2π)/186681 weeks
24.08284 -.45744 (24*2π)/186678 weeks
25-.75764 -.19371 (25*2π)/186675 weeks
26-.56959 .44734 (26*2π)/186672 weeks
27-.23196 .19002 (27*2π)/186669 weeks
28-.26041 -.00468 (28*2π)/186667 weeks
29-.11222 .20868 (29*2π)/186664 weeks
30.17167 .1175 (30*2π)/186662 weeks
31-.09007 -.17678 (31*2π)/186660 weeks
32-.44203 .02941 (32*2π)/186658 weeks
33-.10287 .49219 (33*2π)/186657 weeks
34.3609 .32798 (34*2π)/186655 weeks
35.59018 -.03722 (35*2π)/186653 weeks
36.40178 -.10501 (36*2π)/186652 weeks
37.10597 -.12312 (37*2π)/186650 weeks
38.06077 -.20234 (38*2π)/186649 weeks
39.02857 -.27462 (39*2π)/186648 weeks
40.18581 .04733 (40*2π)/186647 weeks
41.45965 .11547 (41*2π)/186646 weeks
42.48418 -.29011 (42*2π)/186644 weeks
43.10704 -.62527 (43*2π)/186643 weeks
44-.33406 -.39153 (44*2π)/186642 weeks
45-.29442 .07601 (45*2π)/186641 weeks
46.05933 -.07655 (46*2π)/186641 weeks
47-.0284 -.18069 (47*2π)/186640 weeks
48-.24619 .06389 (48*2π)/186639 weeks
49-.02689 .17111 (49*2π)/186638 weeks
50.11109 -.14182 (50*2π)/186637 weeks
51-.12169 -.04234 (51*2π)/186637 weeks
52.01664 .19192 (52*2π)/186636 weeks
53.19447 .07442 (53*2π)/186635 weeks
54-.0707 -.02109 (54*2π)/186635 weeks
55-.00357 .11865 (55*2π)/186634 weeks
56.10063 .07104 (56*2π)/186633 weeks
57-.01192 -.04712 (57*2π)/186633 weeks
58-.17972 .09182 (58*2π)/186632 weeks
59-.06569 .19078 (59*2π)/186632 weeks
60-.03502 .18446 (60*2π)/186631 weeks
61-.01217 .08116 (61*2π)/186631 weeks
62.07208 .07875 (62*2π)/186630 weeks
63.11872 -.11081 (63*2π)/186630 weeks
64-.11062 -.06208 (64*2π)/186629 weeks
65-.07139 .07325 (65*2π)/186629 weeks
66-.01082 .10651 (66*2π)/186628 weeks
67.04477 -.00657 (67*2π)/186628 weeks
68-.03184 -.04585 (68*2π)/186627 weeks
69.02871 -.00608 (69*2π)/186627 weeks
70.02315 -.01694 (70*2π)/186627 weeks
71-.1034 -.01945 (71*2π)/186626 weeks
72-.22115 .08857 (72*2π)/186626 weeks
73-.02947 .11832 (73*2π)/186626 weeks
74.09774 .1097 (74*2π)/186625 weeks
75.09749 .06852 (75*2π)/186625 weeks
76.11675 .11516 (76*2π)/186625 weeks
77.13966 .05241 (77*2π)/186624 weeks
78.06236 .02558 (78*2π)/186624 weeks
79.06323 -.06145 (79*2π)/186624 weeks
80.05695 -.05481 (80*2π)/186623 weeks
81-.00508 -.05162 (81*2π)/186623 weeks
82.003 .00744 (82*2π)/186623 weeks
83.07039 -.07201 (83*2π)/186622 weeks
84.03348 -.13143 (84*2π)/186622 weeks
85-.0365 -.11573 (85*2π)/186622 weeks
86.03999 .03389 (86*2π)/186622 weeks
87.14679 -.07067 (87*2π)/186621 weeks
88.0002 -.18197 (88*2π)/186621 weeks
89-.26466 -.11101 (89*2π)/186621 weeks
90-.23438 .14454 (90*2π)/186621 weeks
91.01614 .12859 (91*2π)/186621 weeks
92.04141 .03323 (92*2π)/186620 weeks
93-.14827 -.03994 (93*2π)/186620 weeks
94-.17758 .13859 (94*2π)/186620 weeks
95.00816 .12672 (95*2π)/186620 weeks
96.06062 -.05863 (96*2π)/186619 weeks
97-.24198 -.07104 (97*2π)/186619 weeks
98-.185 .13016 (98*2π)/186619 weeks
99.00265 .18932 (99*2π)/186619 weeks
100.10454 .0765 (100*2π)/186619 weeks
101.0018 -.02858 (101*2π)/186618 weeks
102-.09929 -.00947 (102*2π)/186618 weeks
103-.057 .15196 (103*2π)/186618 weeks
104.16562 .08079 (104*2π)/186618 weeks
105.05074 -.11845 (105*2π)/186618 weeks
106-.12204 -.02271 (106*2π)/186618 weeks
107.06411 .21182 (107*2π)/186617 weeks
108.28026 .01202 (108*2π)/186617 weeks
109.10683 -.29912 (109*2π)/186617 weeks
110-.18268 -.12616 (110*2π)/186617 weeks
111-.09602 .16649 (111*2π)/186617 weeks
112.16824 .05274 (112*2π)/186617 weeks
113.10557 -.10005 (113*2π)/186617 weeks
114-.04284 -.07042 (114*2π)/186616 weeks
115-.09263 .01136 (115*2π)/186616 weeks
116-.00729 .05955 (116*2π)/186616 weeks
117.00726 .00938 (117*2π)/186616 weeks
118-.00097 .01955 (118*2π)/186616 weeks
119-.00901 .05211 (119*2π)/186616 weeks
120.04555 -.02497 (120*2π)/186616 weeks
121-.01552 -.10048 (121*2π)/186615 weeks
122-.12747 -.01813 (122*2π)/186615 weeks
123-.0794 .14031 (123*2π)/186615 weeks
124.05489 .10272 (124*2π)/186615 weeks
125.06016 -.01853 (125*2π)/186615 weeks
126.04853 -.01041 (126*2π)/186615 weeks
127.06898 -.03824 (127*2π)/186615 weeks
128-.03298 -.0997 (128*2π)/186615 weeks
129-.17192 .01589 (129*2π)/186614 weeks
130-.09206 .16003 (130*2π)/186614 weeks
131.08446 .07585 (131*2π)/186614 weeks
132.0481 -.05787 (132*2π)/186614 weeks
133-.01344 -.04008 (133*2π)/186614 weeks
134.01734 .0043 (134*2π)/186614 weeks
135-.01977 -.07435 (135*2π)/186614 weeks
136-.15087 -.09397 (136*2π)/186614 weeks
137-.1785 .09606 (137*2π)/186614 weeks
138.02857 .1381 (138*2π)/186614 weeks
139.06027 .00956 (139*2π)/186613 weeks
140-.07349 -.07225 (140*2π)/186613 weeks
141-.10737 .03695 (141*2π)/186613 weeks
142-.03956 .1413 (142*2π)/186613 weeks
143.0481 .09498 (143*2π)/186613 weeks
144.00936 -.0053 (144*2π)/186613 weeks
145.00546 -.03056 (145*2π)/186613 weeks
146.07175 -.01104 (146*2π)/186613 weeks
147.06793 -.04665 (147*2π)/186613 weeks
148-.0477 -.05326 (148*2π)/186613 weeks
149-.02478 .03765 (149*2π)/186613 weeks
150.09864 .08626 (150*2π)/186612 weeks
151.15219 -.06706 (151*2π)/186612 weeks
152.01277 -.15025 (152*2π)/186612 weeks
153-.04461 -.05489 (153*2π)/186612 weeks
154.06618 .01654 (154*2π)/186612 weeks
155.12904 -.1058 (155*2π)/186612 weeks
156-.02419 -.14015 (156*2π)/186612 weeks
157-.03445 -.0336 (157*2π)/186612 weeks
158.06712 -.03713 (158*2π)/186612 weeks
159-.00619 -.17313 (159*2π)/186612 weeks
160-.21189 -.13576 (160*2π)/186612 weeks
161-.1972 .08855 (161*2π)/186612 weeks
162-.0185 .15031 (162*2π)/186612 weeks
163.07443 .02725 (163*2π)/186611 weeks
164-.0332 -.02983 (164*2π)/186611 weeks
165-.04344 .07525 (165*2π)/186611 weeks
166.10434 .13738 (166*2π)/186611 weeks
167.17333 .03172 (167*2π)/186611 weeks
168.08344 -.05724 (168*2π)/186611 weeks
169.05259 -.09503 (169*2π)/186611 weeks
170.02241 -.08872 (170*2π)/186611 weeks
171-.02252 -.06829 (171*2π)/186611 weeks
172-.04974 -.03447 (172*2π)/186611 weeks
173-.06585 -.01506 (173*2π)/186611 weeks
174-.08878 .0445 (174*2π)/186611 weeks
175-.03522 .08272 (175*2π)/186611 weeks
176.05478 .07284 (176*2π)/186611 weeks
177.08056 -.0103 (177*2π)/186611 weeks
178-.03172 -.00056 (178*2π)/186610 weeks
179-.04331 .06894 (179*2π)/186610 weeks
180.02408 .0839 (180*2π)/186610 weeks
181.05374 .02979 (181*2π)/186610 weeks
182.02629 .01875 (182*2π)/186610 weeks
183.00293 .01712 (183*2π)/186610 weeks
184-.00869 -.04111 (184*2π)/186610 weeks
185-.05875 -.07222 (185*2π)/186610 weeks
186-.05949 .00806 (186*2π)/186610 weeks
187-.01343 .0599 (187*2π)/186610 weeks
188.05281 .01303 (188*2π)/186610 weeks
189.00743 -.09258 (189*2π)/186610 weeks
190-.10798 -.09984 (190*2π)/186610 weeks
191-.14461 .04283 (191*2π)/186610 weeks
192.00365 .13447 (192*2π)/186610 weeks
193.04093 .05407 (193*2π)/186610 weeks
194-.01491 .02096 (194*2π)/186610 weeks
195.02411 .04736 (195*2π)/186610 weeks
196.0938 -.04871 (196*2π)/186610 weeks
197.04698 -.10938 (197*2π)/18669 weeks
198-.04787 -.04176 (198*2π)/18669 weeks
199-.00738 .02563 (199*2π)/18669 weeks
200.0569 -.02359 (200*2π)/18669 weeks
201-.02383 -.09118 (201*2π)/18669 weeks
202-.07017 -.04337 (202*2π)/18669 weeks
203-.04059 .00859 (203*2π)/18669 weeks
204.01276 .02802 (204*2π)/18669 weeks
205.00618 -.00914 (205*2π)/18669 weeks
206.00386 .01961 (206*2π)/18669 weeks
207.02504 .03722 (207*2π)/18669 weeks
208.08767 -.0337 (208*2π)/18669 weeks
209.03094 -.10688 (209*2π)/18669 weeks
210-.08865 -.03211 (210*2π)/18669 weeks
211-.04553 .10104 (211*2π)/18669 weeks
212.06088 .03745 (212*2π)/18669 weeks
213.01123 -.1065 (213*2π)/18669 weeks
214-.08624 -.04196 (214*2π)/18669 weeks
215-.04349 .03775 (215*2π)/18669 weeks
216-.01421 -.0493 (216*2π)/18669 weeks
217-.10415 -.0694 (217*2π)/18669 weeks
218-.12044 .07529 (218*2π)/18669 weeks
219-.01143 .13262 (219*2π)/18669 weeks
220.06681 .01133 (220*2π)/18668 weeks
221-.02902 -.04471 (221*2π)/18668 weeks
222-.0548 .06711 (222*2π)/18668 weeks
223.06425 .08381 (223*2π)/18668 weeks
224.11166 -.04467 (224*2π)/18668 weeks
225-.00757 -.06058 (225*2π)/18668 weeks
226.00248 .03681 (226*2π)/18668 weeks
227.07002 .01806 (227*2π)/18668 weeks
228.02799 -.07115 (228*2π)/18668 weeks
229-.0863 -.01215 (229*2π)/18668 weeks
230-.08405 .10735 (230*2π)/18668 weeks
231.03432 .12687 (231*2π)/18668 weeks
232.10681 .01582 (232*2π)/18668 weeks
233.08721 -.01744 (233*2π)/18668 weeks
234.04332 -.02186 (234*2π)/18668 weeks
235.03263 -.02122 (235*2π)/18668 weeks
236.03535 -.02518 (236*2π)/18668 weeks
237.00284 .00485 (237*2π)/18668 weeks
238.02567 .03599 (238*2π)/18668 weeks
239.08074 -.01754 (239*2π)/18668 weeks
240.06358 -.12889 (240*2π)/18668 weeks
241-.03872 -.0853 (241*2π)/18668 weeks
242-.0806 .00957 (242*2π)/18668 weeks
243.00718 .04969 (243*2π)/18668 weeks
244.0596 -.04403 (244*2π)/18668 weeks
245-.02422 -.0567 (245*2π)/18668 weeks
246-.06547 .03159 (246*2π)/18668 weeks
247.02175 .05645 (247*2π)/18668 weeks
248.0001 -.03984 (248*2π)/18668 weeks
249-.10571 .0129 (249*2π)/18667 weeks
250-.0624 .14985 (250*2π)/18667 weeks
251.08035 .15378 (251*2π)/18667 weeks
252.11832 .02921 (252*2π)/18667 weeks
253.0488 -.0623 (253*2π)/18667 weeks
254-.00065 -.04493 (254*2π)/18667 weeks
255-.01762 -.01085 (255*2π)/18667 weeks
256.00983 .03491 (256*2π)/18667 weeks
257.07909 .00431 (257*2π)/18667 weeks
258.06859 -.06599 (258*2π)/18667 weeks
259.02099 -.07323 (259*2π)/18667 weeks
260-.01249 -.08097 (260*2π)/18667 weeks
261-.0279 -.06516 (261*2π)/18667 weeks
262-.06661 .01032 (262*2π)/18667 weeks
263-.02159 .08387 (263*2π)/18667 weeks
264.0706 .04238 (264*2π)/18667 weeks
265.05461 -.03915 (265*2π)/18667 weeks
266-.03895 -.0143 (266*2π)/18667 weeks
267-.04736 .04762 (267*2π)/18667 weeks
268.01143 .08117 (268*2π)/18667 weeks
269.07938 .0243 (269*2π)/18667 weeks
270.05247 .00017 (270*2π)/18667 weeks
271.0369 .02262 (271*2π)/18667 weeks
272.07939 .00466 (272*2π)/18667 weeks
273.05388 -.04561 (273*2π)/18667 weeks
274-.01729 -.01678 (274*2π)/18667 weeks
275-.00053 .01611 (275*2π)/18667 weeks
276.04043 -.00103 (276*2π)/18667 weeks
277.01448 -.01324 (277*2π)/18667 weeks
278.01648 .00613 (278*2π)/18667 weeks
279.0191 -.00958 (279*2π)/18667 weeks
280.01551 -.03055 (280*2π)/18667 weeks
281-.00909 -.00548 (281*2π)/18667 weeks
282.01278 .01662 (282*2π)/18667 weeks
283.01085 -.02144 (283*2π)/18667 weeks
284-.00566 -.00545 (284*2π)/18667 weeks
285.00221 -.00925 (285*2π)/18667 weeks
286.01167 -.04931 (286*2π)/18667 weeks
287-.02911 -.02533 (287*2π)/18667 weeks
288-.0264 .03039 (288*2π)/18666 weeks
289.00319 .03689 (289*2π)/18666 weeks
290.02049 -.00541 (290*2π)/18666 weeks
291-.01692 -.0705 (291*2π)/18666 weeks
292-.05662 -.02431 (292*2π)/18666 weeks
293-.05494 .0387 (293*2π)/18666 weeks
294.00953 .03256 (294*2π)/18666 weeks
295.00965 -.0468 (295*2π)/18666 weeks
296-.04117 -.03884 (296*2π)/18666 weeks
297-.06366 .02318 (297*2π)/18666 weeks
298-.01174 .03151 (298*2π)/18666 weeks
299-.03098 -.00395 (299*2π)/18666 weeks
300-.06966 .03761 (300*2π)/18666 weeks
301-.00401 .09569 (301*2π)/18666 weeks
302.06677 .06003 (302*2π)/18666 weeks
303.05271 -.02625 (303*2π)/18666 weeks
304.01597 -.06343 (304*2π)/18666 weeks
305-.0539 -.03025 (305*2π)/18666 weeks
306-.04858 .03386 (306*2π)/18666 weeks
307.0162 .02911 (307*2π)/18666 weeks
308.02542 -.0369 (308*2π)/18666 weeks
309-.03267 -.06519 (309*2π)/18666 weeks
310-.08181 -.02591 (310*2π)/18666 weeks
311-.0369 .05557 (311*2π)/18666 weeks
312.01112 .03595 (312*2π)/18666 weeks
313.02416 .0163 (313*2π)/18666 weeks
314.02533 .02616 (314*2π)/18666 weeks
315.06081 -.00919 (315*2π)/18666 weeks
316.06219 -.05566 (316*2π)/18666 weeks
317.01755 -.01941 (317*2π)/18666 weeks
318.02356 .007 (318*2π)/18666 weeks
319.02659 -.02564 (319*2π)/18666 weeks
320.01307 -.03689 (320*2π)/18666 weeks
321.02451 -.01378 (321*2π)/18666 weeks
322.02075 -.02221 (322*2π)/18666 weeks
323.00525 -.00607 (323*2π)/18666 weeks
324.00362 -.00191 (324*2π)/18666 weeks
325-.00574 -.00018 (325*2π)/18666 weeks
326-.01731 .01374 (326*2π)/18666 weeks
327.02479 .00768 (327*2π)/18666 weeks
328.05012 -.04455 (328*2π)/18666 weeks
329-.0067 -.06487 (329*2π)/18666 weeks
330-.07855 -.02051 (330*2π)/18666 weeks
331-.01993 .02769 (331*2π)/18666 weeks
332.00271 -.02659 (332*2π)/18666 weeks
333-.03738 -.03873 (333*2π)/18666 weeks
334-.06845 .02899 (334*2π)/18666 weeks
335-.00716 .04718 (335*2π)/18666 weeks
336-.01637 -.0286 (336*2π)/18666 weeks
337-.09423 -.01851 (337*2π)/18666 weeks
338-.11196 .10947 (338*2π)/18666 weeks
339.02924 .15066 (339*2π)/18666 weeks
340.11304 .04754 (340*2π)/18665 weeks
341.02979 -.03739 (341*2π)/18665 weeks
342-.01834 .03713 (342*2π)/18665 weeks
343.05035 .05942 (343*2π)/18665 weeks
344.07237 -.01159 (344*2π)/18665 weeks
345.03094 -.0455 (345*2π)/18665 weeks
346.01108 -.0229 (346*2π)/18665 weeks
347.00768 -.01789 (347*2π)/18665 weeks
348-.02545 -.02897 (348*2π)/18665 weeks
349-.0181 .01522 (349*2π)/18665 weeks
350.0162 -.01338 (350*2π)/18665 weeks
351-.01184 -.022 (351*2π)/18665 weeks
352-.00518 .03194 (352*2π)/18665 weeks
353.02624 .00787 (353*2π)/18665 weeks
354.00722 -.01769 (354*2π)/18665 weeks
355-.02917 -.00423 (355*2π)/18665 weeks
356-.00828 .03439 (356*2π)/18665 weeks
357.02053 .03504 (357*2π)/18665 weeks
358.05008 .01312 (358*2π)/18665 weeks
359.03845 .00057 (359*2π)/18665 weeks
360.02538 -.02624 (360*2π)/18665 weeks
361-.01186 -.03627 (361*2π)/18665 weeks
362-.04399 -.01996 (362*2π)/18665 weeks
363-.01247 .01314 (363*2π)/18665 weeks
364.00763 .013 (364*2π)/18665 weeks
365-.0165 .02408 (365*2π)/18665 weeks
366.00802 .00488 (366*2π)/18665 weeks
367.00975 -.0386 (367*2π)/18665 weeks
368-.06614 -.04108 (368*2π)/18665 weeks
369-.09657 .05007 (369*2π)/18665 weeks
370.00101 .09201 (370*2π)/18665 weeks
371.07178 .00903 (371*2π)/18665 weeks
372.00756 -.04288 (372*2π)/18665 weeks
373-.03781 -.01178 (373*2π)/18665 weeks
374-.01314 .03161 (374*2π)/18665 weeks
375.03332 .04417 (375*2π)/18665 weeks
376.0292 .00913 (376*2π)/18665 weeks
377-.00016 .00251 (377*2π)/18665 weeks
378-.0047 .01834 (378*2π)/18665 weeks
379.05226 .00387 (379*2π)/18665 weeks
380.03314 -.05061 (380*2π)/18665 weeks
381-.04282 -.04957 (381*2π)/18665 weeks
382-.02201 .01569 (382*2π)/18665 weeks
383.02448 .01783 (383*2π)/18665 weeks
384.00531 -.0179 (384*2π)/18665 weeks
385-.05457 .01817 (385*2π)/18665 weeks
386-.00586 .07271 (386*2π)/18665 weeks
387.05806 .01456 (387*2π)/18665 weeks
388.0179 -.02437 (388*2π)/18665 weeks
389-.00039 -.00128 (389*2π)/18665 weeks
390-.01183 -.00124 (390*2π)/18665 weeks
391.01512 .01311 (391*2π)/18665 weeks
392.04102 .01211 (392*2π)/18665 weeks
393.05204 -.03354 (393*2π)/18665 weeks
394-.01971 -.04132 (394*2π)/18665 weeks
395-.04698 .00744 (395*2π)/18665 weeks
396.0165