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# Fourier Analysis of PRLB (Proto Labs)

PRLB (Proto Labs) appears to have interesting cyclic behaviour every 32 weeks (4.7541*sine), 27 weeks (3.4439*sine), and 19 weeks (2.1367*cosine).

PRLB (Proto Labs) has an average price of 63.98 (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.

## Fourier Analysis

Using data from 2/24/2012 to 4/16/2018 for PRLB (Proto Labs), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
063.98342   0
1-5.04945 -2.29639 (1*2π)/322322 weeks
24.15183 -12.1602 (2*2π)/322161 weeks
37.04065 -13.43067 (3*2π)/322107 weeks
43.64071 -8.01207 (4*2π)/32281 weeks
5.19725 -4.95354 (5*2π)/32264 weeks
6-.11246 -3.95613 (6*2π)/32254 weeks
7.78315 -6.79151 (7*2π)/32246 weeks
8.04231 -2.00348 (8*2π)/32240 weeks
9-1.01674 -3.85104 (9*2π)/32236 weeks
10-.06922 -4.75413 (10*2π)/32232 weeks
11-1.83433 -1.59938 (11*2π)/32229 weeks
12.35476 -3.44386 (12*2π)/32227 weeks
13-.57467 -1.36429 (13*2π)/32225 weeks
14-.78973 -1.21163 (14*2π)/32223 weeks
151.19346 -2.53888 (15*2π)/32221 weeks
16-.13405 -1.47388 (16*2π)/32220 weeks
17-2.13671 -1.52773 (17*2π)/32219 weeks
18.80874 -1.99033 (18*2π)/32218 weeks
19-.36485 -1.18281 (19*2π)/32217 weeks
20-.61005 -.28688 (20*2π)/32216 weeks
21.16852 -2.45931 (21*2π)/32215 weeks
22-.53689 -1.39527 (22*2π)/32215 weeks
23-.30126 -.72321 (23*2π)/32214 weeks
24-.29837 -1.78526 (24*2π)/32213 weeks
25-.64261 -1.23712 (25*2π)/32213 weeks
26.38045 -.74266 (26*2π)/32212 weeks
27-.1237 -1.20214 (27*2π)/32212 weeks
28-1.01588 -1.67206 (28*2π)/32212 weeks
29-.2242 -.66114 (29*2π)/32211 weeks
30-1.0562 -.52015 (30*2π)/32211 weeks
31-.08081 -.5801 (31*2π)/32210 weeks
32-.1866 -.40259 (32*2π)/32210 weeks
33-.34827 -.86226 (33*2π)/32210 weeks
34-.69341 -.77309 (34*2π)/3229 weeks
35-.46189 -.6641 (35*2π)/3229 weeks
36-.05047 -.87671 (36*2π)/3229 weeks
37-.38711 -.88103 (37*2π)/3229 weeks
38-1.05295 -.26079 (38*2π)/3228 weeks
39-.10008 -.83507 (39*2π)/3228 weeks
40.1285 -.95232 (40*2π)/3228 weeks
41-.19183 -.87693 (41*2π)/3228 weeks
42-.26307 -.04516 (42*2π)/3228 weeks
43.18155 -.87848 (43*2π)/3227 weeks
44-.31824 -.32656 (44*2π)/3227 weeks
45-.11804 -.5083 (45*2π)/3227 weeks
46-.10998 -.60764 (46*2π)/3227 weeks
47-.19335 -.19457 (47*2π)/3227 weeks
48-.19926 -.14311 (48*2π)/3227 weeks
49-.35887 -.94388 (49*2π)/3227 weeks
50-.49273 -.54818 (50*2π)/3226 weeks
51-.17341 -.27324 (51*2π)/3226 weeks
52-.02147 -.7931 (52*2π)/3226 weeks
53-.67703 -1.0293 (53*2π)/3226 weeks
54-.72509 -.4069 (54*2π)/3226 weeks
55-.06189 -.46727 (55*2π)/3226 weeks
56-.12047 -.48886 (56*2π)/3226 weeks
57-.61311 -.31294 (57*2π)/3226 weeks
58-.21253 -.44733 (58*2π)/3226 weeks
59-.29853 -.61666 (59*2π)/3225 weeks
60-.56359 -.65316 (60*2π)/3225 weeks
61.04196 -.48656 (61*2π)/3225 weeks
62-.11996 -.39599 (62*2π)/3225 weeks
63-.17138 -.39211 (63*2π)/3225 weeks
64-.13876 -.36888 (64*2π)/3225 weeks
65-.27637 -.57249 (65*2π)/3225 weeks
66-.38698 -.38906 (66*2π)/3225 weeks
67.00164 -.3964 (67*2π)/3225 weeks
68-.42737 -.49525 (68*2π)/3225 weeks
69-.13673 -.36751 (69*2π)/3225 weeks
70-.21965 -.77341 (70*2π)/3225 weeks
71-.53737 -.40083 (71*2π)/3225 weeks
72-.14854 -.56472 (72*2π)/3224 weeks
73-.02217 -.41536 (73*2π)/3224 weeks
74-.21045 -.38105 (74*2π)/3224 weeks
75-.36597 -.32743 (75*2π)/3224 weeks
76-.11321 -.41819 (76*2π)/3224 weeks
77-.06111 -.57877 (77*2π)/3224 weeks
78-.46534 -.64348 (78*2π)/3224 weeks
79-.50158 -.28707 (79*2π)/3224 weeks
80-.59518 -.47281 (80*2π)/3224 weeks
81-.45054 -.31456 (81*2π)/3224 weeks
82.0122 -.15596 (82*2π)/3224 weeks
83-.3046 -.11147 (83*2π)/3224 weeks
84-.89826 -.03552 (84*2π)/3224 weeks
85-.38506 -.01488 (85*2π)/3224 weeks
86-.44543 -.3732 (86*2π)/3224 weeks
87-.20059 -.11038 (87*2π)/3224 weeks
88-.47262 -.23673 (88*2π)/3224 weeks
89-.16955 -.27738 (89*2π)/3224 weeks
90-.34203 -.28127 (90*2π)/3224 weeks
91-.5918 -.11463 (91*2π)/3224 weeks
92-.2404 -.25217 (92*2π)/3224 weeks
93-.45559 -.25131 (93*2π)/3223 weeks
94-.28064 -.0623 (94*2π)/3223 weeks
95-.20578 -.26227 (95*2π)/3223 weeks
96-.50509 -.14641 (96*2π)/3223 weeks
97-.0116 -.08185 (97*2π)/3223 weeks
98-.13142 -.15583 (98*2π)/3223 weeks
99-.32211 -.40894 (99*2π)/3223 weeks
100-.29652 -.0392 (100*2π)/3223 weeks
101.02462 -.28895 (101*2π)/3223 weeks
102-.07607 -.2702 (102*2π)/3223 weeks
103-.39617 -.15589 (103*2π)/3223 weeks
104.08069 -.18728 (104*2π)/3223 weeks
105-.41071 -.14205 (105*2π)/3223 weeks
106-.46413 -.36515 (106*2π)/3223 weeks
107-.07663 -.42853 (107*2π)/3223 weeks
108-.1805 -.26111 (108*2π)/3223 weeks
109-.58667 -.18008 (109*2π)/3223 weeks
110-.00837 -.37617 (110*2π)/3223 weeks
111-.36142 -.34511 (111*2π)/3223 weeks
112-.12336 -.33287 (112*2π)/3223 weeks
113-.41796 -.08926 (113*2π)/3223 weeks
114-.18762 -.50132 (114*2π)/3223 weeks
115-.31912 -.02597 (115*2π)/3223 weeks
116-.31634 .18117 (116*2π)/3223 weeks
117-.39393 -.21381 (117*2π)/3223 weeks
118-.22879 -.18856 (118*2π)/3223 weeks
119-.03675 -.06747 (119*2π)/3223 weeks
120-.51426 -.1594 (120*2π)/3223 weeks
121-.25686 .02387 (121*2π)/3223 weeks
122-.3288 .17376 (122*2π)/3223 weeks
123-.22264 -.22664 (123*2π)/3223 weeks
124-.46716 -.18079 (124*2π)/3223 weeks
125-.4475 .05285 (125*2π)/3223 weeks
126-.12518 -.07197 (126*2π)/3223 weeks
127-.44391 -.05066 (127*2π)/3223 weeks
128-.40864 -.10364 (128*2π)/3223 weeks
129-.22728 .0181 (129*2π)/3222 weeks
130-.17678 -.05477 (130*2π)/3222 weeks
131-.30859 .1023 (131*2π)/3222 weeks
132-.30965 -.08981 (132*2π)/3222 weeks
133-.15856 -.05227 (133*2π)/3222 weeks
134-.49922 .16398 (134*2π)/3222 weeks
135-.29142 -.30193 (135*2π)/3222 weeks
136-.29392 -.19175 (136*2π)/3222 weeks
137-.22292 -.03541 (137*2π)/3222 weeks
138-.03369 .01814 (138*2π)/3222 weeks
139-.25942 -.16822 (139*2π)/3222 weeks
140-.33564 -.11121 (140*2π)/3222 weeks
141-.22203 -.06982 (141*2π)/3222 weeks
142-.39143 -.08168 (142*2π)/3222 weeks
143-.13891 .17444 (143*2π)/3222 weeks
144-.25631 -.17672 (144*2π)/3222 weeks
145-.37635 -.22096 (145*2π)/3222 weeks
146-.39982 .11218 (146*2π)/3222 weeks
147-.15015 .15654 (147*2π)/3222 weeks
148-.28226 .03285 (148*2π)/3222 weeks
149-.28887 -.04439 (149*2π)/3222 weeks
150-.06107 .14893 (150*2π)/3222 weeks
151-.46802 -.16112 (151*2π)/3222 weeks
152-.28959 .2205 (152*2π)/3222 weeks
153-.08011 -.19437 (153*2π)/3222 weeks
154-.3429 .09161 (154*2π)/3222 weeks
155-.50108 .20139 (155*2π)/3222 weeks
156-.2599 -.19239 (156*2π)/3222 weeks
157-.20794 .01143 (157*2π)/3222 weeks
158-.20896 .13979 (158*2π)/3222 weeks
159-.30993 .22373 (159*2π)/3222 weeks
160-.33272 .05433 (160*2π)/3222 weeks
161-.31665   (161*2π)/3222 weeks
162-.33272 -.05433 (162*2π)/3222 weeks
163-.30993 -.22373 (163*2π)/3222 weeks
164-.20896 -.13979 (164*2π)/3222 weeks
165-.20794 -.01143 (165*2π)/3222 weeks
166-.2599 .19239 (166*2π)/3222 weeks
167-.50108 -.20139 (167*2π)/3222 weeks
168-.3429 -.09161 (168*2π)/3222 weeks
169-.08011 .19437 (169*2π)/3222 weeks
170-.28959 -.2205 (170*2π)/3222 weeks
171-.46802 .16112 (171*2π)/3222 weeks
172-.06107 -.14893 (172*2π)/3222 weeks
173-.28887 .04439 (173*2π)/3222 weeks
174-.28226 -.03285 (174*2π)/3222 weeks
175-.15015 -.15654 (175*2π)/3222 weeks
176-.39982 -.11218 (176*2π)/3222 weeks
177-.37635 .22096 (177*2π)/3222 weeks
178-.25631 .17672 (178*2π)/3222 weeks
179-.13891 -.17444 (179*2π)/3222 weeks
180-.39143 .08168 (180*2π)/3222 weeks
181-.22203 .06982 (181*2π)/3222 weeks
182-.33564 .11121 (182*2π)/3222 weeks
183-.25942 .16822 (183*2π)/3222 weeks
184-.03369 -.01814 (184*2π)/3222 weeks
185-.22292 .03541 (185*2π)/3222 weeks
186-.29392 .19175 (186*2π)/3222 weeks
187-.29142 .30193 (187*2π)/3222 weeks
188-.49922 -.16398 (188*2π)/3222 weeks
189-.15856 .05227 (189*2π)/3222 weeks
190-.30965 .08981 (190*2π)/3222 weeks
191-.30859 -.1023 (191*2π)/3222 weeks
192-.17678 .05477 (192*2π)/3222 weeks
193-.22728 -.0181 (193*2π)/3222 weeks
194-.40864 .10364 (194*2π)/3222 weeks
195-.44391 .05066 (195*2π)/3222 weeks
196-.12518 .07197 (196*2π)/3222 weeks
197-.4475 -.05285 (197*2π)/3222 weeks
198-.46716 .18079 (198*2π)/3222 weeks
199-.22264 .22664 (199*2π)/3222 weeks
200-.3288 -.17376 (200*2π)/3222 weeks
201-.25686 -.02387 (201*2π)/3222 weeks
202-.51426 .1594 (202*2π)/3222 weeks
203-.03675 .06747 (203*2π)/3222 weeks
204-.22879 .18856 (204*2π)/3222 weeks
205-.39393 .21381 (205*2π)/3222 weeks
206-.31634 -.18117 (206*2π)/3222 weeks
207-.31912 .02597 (207*2π)/3222 weeks
208-.18762 .50132 (208*2π)/3222 weeks
209-.41796 .08926 (209*2π)/3222 weeks
210-.12336 .33287 (210*2π)/3222 weeks
211-.36142 .34511 (211*2π)/3222 weeks
212-.00837 .37617 (212*2π)/3222 weeks
213-.58667 .18008 (213*2π)/3222 weeks
214-.1805 .26111 (214*2π)/3222 weeks
215-.07663 .42853 (215*2π)/3221 weeks
216-.46413 .36515 (216*2π)/3221 weeks
217-.41071 .14205 (217*2π)/3221 weeks
218.08069 .18728 (218*2π)/3221 weeks
219-.39617 .15589 (219*2π)/3221 weeks
220-.07607 .2702 (220*2π)/3221 weeks
221.02462 .28895 (221*2π)/3221 weeks
222-.29652 .0392 (222*2π)/3221 weeks
223-.32211 .40894 (223*2π)/3221 weeks
224-.13142 .15583 (224*2π)/3221 weeks
225-.0116 .08185 (225*2π)/3221 weeks
226-.50509 .14641 (226*2π)/3221 weeks
227-.20578 .26227 (227*2π)/3221 weeks
228-.28064 .0623 (228*2π)/3221 weeks
229-.45559 .25131 (229*2π)/3221 weeks
230-.2404 .25217 (230*2π)/3221 weeks
231-.5918 .11463 (231*2π)/3221 weeks
232-.34203 .28127 (232*2π)/3221 weeks
233-.16955 .27738 (233*2π)/3221 weeks
234-.47262 .23673 (234*2π)/3221 weeks
235-.20059 .11038 (235*2π)/3221 weeks
236-.44543 .3732 (236*2π)/3221 weeks
237-.38506 .01488 (237*2π)/3221 weeks
238-.89826 .03552 (238*2π)/3221 weeks
239-.3046 .11147 (239*2π)/3221 weeks
240.0122 .15596 (240*2π)/3221 weeks
241-.45054 .31456 (241*2π)/3221 weeks
242-.59518 .47281 (242*2π)/3221 weeks
243-.50158 .28707 (243*2π)/3221 weeks
244-.46534 .64348 (244*2π)/3221 weeks
245-.06111 .57877 (245*2π)/3221 weeks
246-.11321 .41819 (246*2π)/3221 weeks
247-.36597 .32743 (247*2π)/3221 weeks
248-.21045 .38105 (248*2π)/3221 weeks
249-.02217 .41536 (249*2π)/3221 weeks
250-.14854 .56472 (250*2π)/3221 weeks
251-.53737 .40083 (251*2π)/3221 weeks
252-.21965 .77341 (252*2π)/3221 weeks
253-.13673 .36751 (253*2π)/3221 weeks
254-.42737 .49525 (254*2π)/3221 weeks
255.00164 .3964 (255*2π)/3221 weeks
256-.38698 .38906 (256*2π)/3221 weeks
257-.27637 .57249 (257*2π)/3221 weeks
258-.13876 .36888 (258*2π)/3221 weeks
259-.17138 .39211 (259*2π)/3221 weeks
260-.11996 .39599 (260*2π)/3221 weeks
261.04196 .48656 (261*2π)/3221 weeks
262-.56359 .65316 (262*2π)/3221 weeks
263-.29853 .61666 (263*2π)/3221 weeks
264-.21253 .44733 (264*2π)/3221 weeks
265-.61311 .31294 (265*2π)/3221 weeks
266-.12047 .48886 (266*2π)/3221 weeks
267-.06189 .46727 (267*2π)/3221 weeks
268-.72509 .4069 (268*2π)/3221 weeks
269-.67703 1.0293 (269*2π)/3221 weeks
270-.02147 .7931 (270*2π)/3221 weeks
271-.17341 .27324 (271*2π)/3221 weeks
272-.49273 .54818 (272*2π)/3221 weeks
273-.35887 .94388 (273*2π)/3221 weeks
274-.19926 .14311 (274*2π)/3221 weeks
275-.19335 .19457 (275*2π)/3221 weeks
276-.10998 .60764 (276*2π)/3221 weeks
277-.11804 .5083 (277*2π)/3221 weeks
278-.31824 .32656 (278*2π)/3221 weeks
279.18155 .87848 (279*2π)/3221 weeks
280-.26307 .04516 (280*2π)/3221 weeks
281-.19183 .87693 (281*2π)/3221 weeks
282.1285 .95232 (282*2π)/3221 weeks
283-.10008 .83507 (283*2π)/3221 weeks
284-1.05295 .26079 (284*2π)/3221 weeks
285-.38711 .88103 (285*2π)/3221 weeks
286-.05047 .87671 (286*2π)/3221 weeks
287-.46189 .6641 (287*2π)/3221 weeks
288-.69341 .77309 (288*2π)/3221 weeks
289-.34827 .86226 (289*2π)/3221 weeks
290-.1866 .40259 (290*2π)/3221 weeks
291-.08081 .5801 (291*2π)/3221 weeks
292-1.0562 .52015 (292*2π)/3221 weeks
293-.2242 .66114 (293*2π)/3221 weeks
294-1.01588 1.67206 (294*2π)/3221 weeks
295-.1237 1.20214 (295*2π)/3221 weeks
296.38045 .74266 (296*2π)/3221 weeks
297-.64261 1.23712 (297*2π)/3221 weeks
298-.29837 1.78526 (298*2π)/3221 weeks
299-.30126 .72321 (299*2π)/3221 weeks
300-.53689 1.39527 (300*2π)/3221 weeks
301.16852 2.45931 (301*2π)/3221 weeks
302-.61005 .28688 (302*2π)/3221 weeks
303-.36485 1.18281 (303*2π)/3221 weeks
304.80874 1.99033 (304*2π)/3221 weeks
305-2.13671 1.52773 (305*2π)/3221 weeks
306-.13405 1.47388 (306*2π)/3221 weeks
3071.19346 2.53888 (307*2π)/3221 weeks
308-.78973 1.21163 (308*2π)/3221 weeks
309-.57467 1.36429 (309*2π)/3221 weeks
310.35476 3.44386 (310*2π)/3221 weeks
311-1.83433 1.59938 (311*2π)/3221 weeks
312-.06922 4.75413 (312*2π)/3221 weeks
313-1.01674 3.85104 (313*2π)/3221 weeks
314.04231 2.00348 (314*2π)/3221 weeks
315.78315 6.79151 (315*2π)/3221 weeks
316-.11246 3.95613 (316*2π)/3221 weeks
317.19725 4.95354 (317*2π)/3221 weeks
3183.64071 8.01207 (318*2π)/3221 weeks
3197.04065 13.43067 (319*2π)/3221 weeks
3204.15183 12.1602 (320*2π)/3221 weeks