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Fourier Analysis of FFEX (Frozen Food Express Industries,)


FFEX (Frozen Food Express Industries,) appears to have interesting cyclic behaviour every 214 weeks (.2996*sine), 195 weeks (.2628*sine), and 143 weeks (.2383*cosine).

FFEX (Frozen Food Express Industries,) has an average price of 3.58 (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 6/1/1972 to 8/19/2013 for FFEX (Frozen Food Express Industries,), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
03.57961   0 
1-1.85937 -3.39301 (1*2π)/21442,144 weeks
2.68842 .01565 (2*2π)/21441,072 weeks
3-1.80525 -1.379 (3*2π)/2144715 weeks
4-.26271 1.71017 (4*2π)/2144536 weeks
5.64924 -.13862 (5*2π)/2144429 weeks
6.40941 -.30388 (6*2π)/2144357 weeks
7-.48838 -.60346 (7*2π)/2144306 weeks
8-.06331 .47306 (8*2π)/2144268 weeks
9-.09652 -.20528 (9*2π)/2144238 weeks
10.10171 .29962 (10*2π)/2144214 weeks
11.08189 -.26284 (11*2π)/2144195 weeks
12-.14481 .06827 (12*2π)/2144179 weeks
13-.03155 .18451 (13*2π)/2144165 weeks
14.14979 .12948 (14*2π)/2144153 weeks
15.23827 -.07123 (15*2π)/2144143 weeks
16-.01474 -.04402 (16*2π)/2144134 weeks
17.12169 -.08439 (17*2π)/2144126 weeks
18-.05274 -.08754 (18*2π)/2144119 weeks
19.03258 -.03095 (19*2π)/2144113 weeks
20-.01867 -.00392 (20*2π)/2144107 weeks
21.03588 -.02285 (21*2π)/2144102 weeks
22.01263 -.13094 (22*2π)/214497 weeks
23-.11508 .05453 (23*2π)/214493 weeks
24.08872 -.0047 (24*2π)/214489 weeks
25-.06069 -.02378 (25*2π)/214486 weeks
26.08182 -.01303 (26*2π)/214482 weeks
27-.05887 -.12564 (27*2π)/214479 weeks
28-.06889 .05708 (28*2π)/214477 weeks
29.00327 -.02071 (29*2π)/214474 weeks
30-.10021 -.01074 (30*2π)/214471 weeks
31-.04606 .13561 (31*2π)/214469 weeks
32.03187 .08474 (32*2π)/214467 weeks
33.14287 .10037 (33*2π)/214465 weeks
34.13081 -.14341 (34*2π)/214463 weeks
35-.04575 -.06926 (35*2π)/214461 weeks
36-.09293 -.06896 (36*2π)/214460 weeks
37-.07361 .21627 (37*2π)/214458 weeks
38.21502 -.00659 (38*2π)/214456 weeks
39.03131 -.05718 (39*2π)/214455 weeks
40.08122 -.09569 (40*2π)/214454 weeks
41-.07583 -.09629 (41*2π)/214452 weeks
42-.02367 .02751 (42*2π)/214451 weeks
43.00708 -.02639 (43*2π)/214450 weeks
44.00206 -.02428 (44*2π)/214449 weeks
45-.06681 .00811 (45*2π)/214448 weeks
46.02514 .02174 (46*2π)/214447 weeks
47.02049 .04771 (47*2π)/214446 weeks
48.08791 -.09814 (48*2π)/214445 weeks
49-.08819 -.00992 (49*2π)/214444 weeks
50.03942 -.03471 (50*2π)/214443 weeks
51-.06383 .03397 (51*2π)/214442 weeks
52.05156 -.01784 (52*2π)/214441 weeks
53.00583 -.00627 (53*2π)/214440 weeks
54.02864 -.06597 (54*2π)/214440 weeks
55-.0329 -.03989 (55*2π)/214439 weeks
56-.03747 -.02719 (56*2π)/214438 weeks
57-.01985 .03179 (57*2π)/214438 weeks
58-.02377 -.00785 (58*2π)/214437 weeks
59.00846 .05426 (59*2π)/214436 weeks
60.02218 -.03045 (60*2π)/214436 weeks
61.03018 .07634 (61*2π)/214435 weeks
62.11212 -.11423 (62*2π)/214435 weeks
63-.06899 -.08454 (63*2π)/214434 weeks
64-.04573 -.01408 (64*2π)/214434 weeks
65-.03112 .0004 (65*2π)/214433 weeks
66-.03298 .03532 (66*2π)/214432 weeks
67.0732 -.00734 (67*2π)/214432 weeks
68-.05858 -.07553 (68*2π)/214432 weeks
69-.01921 .03497 (69*2π)/214431 weeks
70-.03653 -.00534 (70*2π)/214431 weeks
71.02563 .01074 (71*2π)/214430 weeks
72-.06718 -.01008 (72*2π)/214430 weeks
73.02952 .06447 (73*2π)/214429 weeks
74-.01988 -.03282 (74*2π)/214429 weeks
75.01465 .09652 (75*2π)/214429 weeks
76.07983 -.06123 (76*2π)/214428 weeks
77-.05663 .0079 (77*2π)/214428 weeks
78.01435 .01348 (78*2π)/214427 weeks
79.01969 .03139 (79*2π)/214427 weeks
80.04941   (80*2π)/214427 weeks
81.04358 -.02932 (81*2π)/214426 weeks
82.00379 -.06096 (82*2π)/214426 weeks
83-.06184 -.01196 (83*2π)/214426 weeks
84-.01553 .02999 (84*2π)/214426 weeks
85.02062 .05141 (85*2π)/214425 weeks
86.04727 -.02874 (86*2π)/214425 weeks
87.01737 -.01722 (87*2π)/214425 weeks
88-.00243 -.05994 (88*2π)/214424 weeks
89-.03973 .01876 (89*2π)/214424 weeks
90.0069 -.01709 (90*2π)/214424 weeks
91-.00128 .0468 (91*2π)/214424 weeks
92.0687 -.03383 (92*2π)/214423 weeks
93-.02842 -.02256 (93*2π)/214423 weeks
94.00325 -.01797 (94*2π)/214423 weeks
95-.02342 .0207 (95*2π)/214423 weeks
96.03355 .00446 (96*2π)/214422 weeks
97.01227 .00484 (97*2π)/214422 weeks
98.04389 -.04374 (98*2π)/214422 weeks
99-.01585 -.01212 (99*2π)/214422 weeks
100.03121 -.03946 (100*2π)/214421 weeks
101-.02768 -.03255 (101*2π)/214421 weeks
102-.00962 -.01728 (102*2π)/214421 weeks
103-.02829 -.00954 (103*2π)/214421 weeks
104-.00136 .02222 (104*2π)/214421 weeks
105.00958 -.01089 (105*2π)/214420 weeks
106.01195 -.00319 (106*2π)/214420 weeks
107-.00673 -.03776 (107*2π)/214420 weeks
108-.01129 .01992 (108*2π)/214420 weeks
109.02331 -.03299 (109*2π)/214420 weeks
110-.03849 -.02546 (110*2π)/214419 weeks
111-.01778 .00895 (111*2π)/214419 weeks
112-.02979 .00713 (112*2π)/214419 weeks
113.01742 .05455 (113*2π)/214419 weeks
114.04906 -.02462 (114*2π)/214419 weeks
115-.00102 -.03045 (115*2π)/214419 weeks
116-.00448 -.02194 (116*2π)/214418 weeks
117-.03225 -.02966 (117*2π)/214418 weeks
118-.04331 .02968 (118*2π)/214418 weeks
119.01234 .01058 (119*2π)/214418 weeks
120-.02074 .02307 (120*2π)/214418 weeks
121.03264 .01812 (121*2π)/214418 weeks
122.00532 -.00891 (122*2π)/214418 weeks
123.01238 -.0121 (123*2π)/214417 weeks
124-.02821 .00762 (124*2π)/214417 weeks
125.04356 .0189 (125*2π)/214417 weeks
126.00855 -.03434 (126*2π)/214417 weeks
127.012 -.00829 (127*2π)/214417 weeks
128-.01614 -.04765 (128*2π)/214417 weeks
129-.05053 .02029 (129*2π)/214417 weeks
130.0092 .03493 (130*2π)/214416 weeks
131.02303 .00401 (131*2π)/214416 weeks
132.022 -.01604 (132*2π)/214416 weeks
133.00643 -.02445 (133*2π)/214416 weeks
134-.03434 -.02703 (134*2π)/214416 weeks
135-.00346 .02331 (135*2π)/214416 weeks
136-.00947 -.01395 (136*2π)/214416 weeks
137.00474 .01493 (137*2π)/214416 weeks
138-.0068 -.00823 (138*2π)/214416 weeks
139.00342 .00187 (139*2π)/214415 weeks
140-.01242 .00725 (140*2π)/214415 weeks
141.01067 .01041 (141*2π)/214415 weeks
142.01731 -.01216 (142*2π)/214415 weeks
143-.02024 -.01659 (143*2π)/214415 weeks
144.00484 .01198 (144*2π)/214415 weeks
145-.00675 .0047 (145*2π)/214415 weeks
146.0204 .00622 (146*2π)/214415 weeks
147.01293 -.02698 (147*2π)/214415 weeks
148-.01297 -.01282 (148*2π)/214414 weeks
149-.01342 -.0033 (149*2π)/214414 weeks
150-.00378 .01199 (150*2π)/214414 weeks
151.00343 -.0105 (151*2π)/214414 weeks
152-.00087 .00761 (152*2π)/214414 weeks
153-.00333 -.01283 (153*2π)/214414 weeks
154-.0073 .00107 (154*2π)/214414 weeks
155.00354 .01399 (155*2π)/214414 weeks
156.01991 -.01367 (156*2π)/214414 weeks
157-.0219 -.00499 (157*2π)/214414 weeks
158.01368 .0055 (158*2π)/214414 weeks
159-.00151 -.01086 (159*2π)/214413 weeks
160.00291 .01357 (160*2π)/214413 weeks
161.01662 -.01937 (161*2π)/214413 weeks
162-.01607 -.0056 (162*2π)/214413 weeks
163-.00211 .0119 (163*2π)/214413 weeks
164.01838 .00695 (164*2π)/214413 weeks
165.00777 -.0154 (165*2π)/214413 weeks
166.00714 -.00468 (166*2π)/214413 weeks
167.00643 -.02497 (167*2π)/214413 weeks
168-.02996 -.01402 (168*2π)/214413 weeks
169-.01205 .02055 (169*2π)/214413 weeks
170.01073 .00554 (170*2π)/214413 weeks
171-.00421 .00171 (171*2π)/214413 weeks
172.02616 .01829 (172*2π)/214412 weeks
173.01897 -.03241 (173*2π)/214412 weeks
174-.00673 -.00536 (174*2π)/214412 weeks
175.01666 -.02628 (175*2π)/214412 weeks
176-.03982 -.01801 (176*2π)/214412 weeks
177.00213 .01504 (177*2π)/214412 weeks
178-.01878 -.00267 (178*2π)/214412 weeks
179.01462 .01411 (179*2π)/214412 weeks
180.00319 -.00873 (180*2π)/214412 weeks
181-.0051 -.01358 (181*2π)/214412 weeks
182-.00996 .0121 (182*2π)/214412 weeks
183.0116 -.00341 (183*2π)/214412 weeks
184.00467 .00129 (184*2π)/214412 weeks
185.00972 -.02394 (185*2π)/214412 weeks
186-.0245 -.01293 (186*2π)/214412 weeks
187-.00983 .00428 (187*2π)/214411 weeks
188-.00841 .01689 (188*2π)/214411 weeks
189.01817 -.00134 (189*2π)/214411 weeks
190.00128 -.00307 (190*2π)/214411 weeks
191.00147 -.0177 (191*2π)/214411 weeks
192-.0156 .00307 (192*2π)/214411 weeks
193-.00296 .00616 (193*2π)/214411 weeks
194.01176 .01281 (194*2π)/214411 weeks
195.01415 -.01867 (195*2π)/214411 weeks
196.00105 .00237 (196*2π)/214411 weeks
197.00526 -.03403 (197*2π)/214411 weeks
198-.0366 .00639 (198*2π)/214411 weeks
199.00944 .00379 (199*2π)/214411 weeks
200-.01674 .01309 (200*2π)/214411 weeks
201.02992 .00443 (201*2π)/214411 weeks
202-.00381 -.02046 (202*2π)/214411 weeks
203.00003 -.00785 (203*2π)/214411 weeks
204-.01156 -.01053 (204*2π)/214411 weeks
205-.01512 .00487 (205*2π)/214410 weeks
206.00849 .01562 (206*2π)/214410 weeks
207.00945 -.01596 (207*2π)/214410 weeks
208-.01264 -.00114 (208*2π)/214410 weeks
209-.00257 .00205 (209*2π)/214410 weeks
210.00093 .0102 (210*2π)/214410 weeks
211.0225 -.00659 (211*2π)/214410 weeks
212-.00356 -.01477 (212*2π)/214410 weeks
213.00082 -.01223 (213*2π)/214410 weeks
214-.0196 -.00849 (214*2π)/214410 weeks
215-.00743 .00845 (215*2π)/214410 weeks
216.00384 .00735 (216*2π)/214410 weeks
217.00774 -.00999 (217*2π)/214410 weeks
218.00061 -.00518 (218*2π)/214410 weeks
219.01032 -.01735 (219*2π)/214410 weeks
220-.02253 -.0209 (220*2π)/214410 weeks
221-.01318 .00756 (221*2π)/214410 weeks
222-.00504 -.00096 (222*2π)/214410 weeks
223-.01224 .00112 (223*2π)/214410 weeks
224-.00204 .00856 (224*2π)/214410 weeks
225-.00263 -.0003 (225*2π)/214410 weeks
226-.00607 .00024 (226*2π)/21449 weeks
227.00141 .0123 (227*2π)/21449 weeks
228.00632 -.01811 (228*2π)/21449 weeks
229-.02571 .01465 (229*2π)/21449 weeks
230.027 .0021 (230*2π)/21449 weeks
231-.014 -.00114 (231*2π)/21449 weeks
232.01711 -.00386 (232*2π)/21449 weeks
233-.0115 -.0045 (233*2π)/21449 weeks
234.00676 .00097 (234*2π)/21449 weeks
235-.00361 -.00457 (235*2π)/21449 weeks
236.00451 -.00277 (236*2π)/21449 weeks
237-.00811 -.00759 (237*2π)/21449 weeks
238.00405 .00731 (238*2π)/21449 weeks
239-.00838 -.01303 (239*2π)/21449 weeks
240.00243 .0165 (240*2π)/21449 weeks
241.00469 -.01061 (241*2π)/21449 weeks
242-.00963 .00188 (242*2π)/21449 weeks
243.00588 .00871 (243*2π)/21449 weeks
244.00723 -.00997 (244*2π)/21449 weeks
245-.01032 -.00159 (245*2π)/21449 weeks
246.00898 .00463 (246*2π)/21449 weeks
247-.00515 -.00648 (247*2π)/21449 weeks
248.00148 .00167 (248*2π)/21449 weeks
249-.00182 -.00027 (249*2π)/21449 weeks
250.00281 .00336 (250*2π)/21449 weeks
251.00522 -.00615 (251*2π)/21449 weeks
252.00307 -.00498 (252*2π)/21449 weeks
253-.00335 -.00495 (253*2π)/21448 weeks
254.00026 -.00197 (254*2π)/21448 weeks
255-.0017 -.00399 (255*2π)/21448 weeks
256-.00158 -.00379 (256*2π)/21448 weeks
257-.00507 .00301 (257*2π)/21448 weeks
258.00787 -.00233 (258*2π)/21448 weeks
259.00164 -.00738 (259*2π)/21448 weeks
260.0005 -.01427 (260*2π)/21448 weeks
261-.0147 -.01116 (261*2π)/21448 weeks
262-.0206 .00221 (262*2π)/21448 weeks
263.00007 .01642 (263*2π)/21448 weeks
264.00295 -.00401 (264*2π)/21448 weeks
265.01012 .00798 (265*2π)/21448 weeks
266.00596 -.02316 (266*2π)/21448 weeks
267-.01681 .00202 (267*2π)/21448 weeks
268.01417 -.00014 (268*2π)/21448 weeks
269-.00854 -.01557 (269*2π)/21448 weeks
270-.01389 -.00893 (270*2π)/21448 weeks
271-.01833 .01329 (271*2π)/21448 weeks
272.00415 .00523 (272*2π)/21448 weeks
273-.00581 .01847 (273*2π)/21448 weeks
274.03347 -.00491 (274*2π)/21448 weeks
275-.01465 -.02172 (275*2π)/21448 weeks
276.00492 .00437 (276*2π)/21448 weeks
277-.01012 -.01213 (277*2π)/21448 weeks
278-.00821 -.00029 (278*2π)/21448 weeks
279-.01715 .01076 (279*2π)/21448 weeks
280.01959 .01246 (280*2π)/21448 weeks
281-.0072 -.00787 (281*2π)/21448 weeks
282.01536 .00558 (282*2π)/21448 weeks
283-.00318 -.0152 (283*2π)/21448 weeks
284-.0006 -.00507 (284*2π)/21448 weeks
285-.01666 -.00583 (285*2π)/21448 weeks
286-.00093 .00661 (286*2π)/21447 weeks
287-.01135 -.0054 (287*2π)/21447 weeks
288-.00048