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# Fourier Analysis of CRDS (Crossroads Systems)

CRDS (Crossroads Systems) appears to have interesting cyclic behaviour every 49 weeks (263.1415*sine), 52 weeks (262.365*sine), and 55 weeks (259.711*sine).

CRDS (Crossroads Systems) has an average price of 301.79 (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 1/3/2000 to 10/9/2017 for CRDS (Crossroads Systems), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0301.7895   0
1449.5891 92.00789 (1*2π)/928928 weeks
2396.6979 125.6985 (2*2π)/928464 weeks
3401.6813 146.2851 (3*2π)/928309 weeks
4357.6693 153.4864 (4*2π)/928232 weeks
5344.4642 198.7169 (5*2π)/928186 weeks
6310.476 194.8005 (6*2π)/928155 weeks
7287.9361 179.2585 (7*2π)/928133 weeks
8287.5204 194.6064 (8*2π)/928116 weeks
9276.3363 215.5435 (9*2π)/928103 weeks
10254.8629 236.1397 (10*2π)/92893 weeks
11223.8033 244.3042 (11*2π)/92884 weeks
12202.4015 240.0048 (12*2π)/92877 weeks
13188.6703 242.8492 (13*2π)/92871 weeks
14175.8429 247.2082 (14*2π)/92866 weeks
15156.8502 252.5029 (15*2π)/92862 weeks
16141.7718 253.1739 (16*2π)/92858 weeks
17126.0925 259.711 (17*2π)/92855 weeks
18102.5765 262.365 (18*2π)/92852 weeks
1980.48814 263.1415 (19*2π)/92849 weeks
2053.22756 252.928 (20*2π)/92846 weeks
2139.57273 231.6268 (21*2π)/92844 weeks
2231.24842 225.7695 (22*2π)/92842 weeks
2321.36255 215.7564 (23*2π)/92840 weeks
2415.36594 204.8854 (24*2π)/92839 weeks
259.99323 202.0843 (25*2π)/92837 weeks
262.66399 195.1628 (26*2π)/92836 weeks
27-7.56948 190.5722 (27*2π)/92834 weeks
28-13.27375 184.3628 (28*2π)/92833 weeks
29-20.64342 172.3831 (29*2π)/92832 weeks
30-31.21796 162.9227 (30*2π)/92831 weeks
31-32.74252 154.2451 (31*2π)/92830 weeks
32-35.3575 146.0214 (32*2π)/92829 weeks
33-36.14617 136.0116 (33*2π)/92828 weeks
34-36.22554 129.8747 (34*2π)/92827 weeks
35-36.45371 123.8869 (35*2π)/92827 weeks
36-35.70898 119.9276 (36*2π)/92826 weeks
37-37.74634 116.2821 (37*2π)/92825 weeks
38-39.02253 111.3645 (38*2π)/92824 weeks
39-39.86229 105.9045 (39*2π)/92824 weeks
40-43.18339 101.7326 (40*2π)/92823 weeks
41-41.8513 96.18588 (41*2π)/92823 weeks
42-41.88213 92.27731 (42*2π)/92822 weeks
43-39.82463 88.60184 (43*2π)/92822 weeks
44-41.11066 84.19257 (44*2π)/92821 weeks
45-40.42181 81.67496 (45*2π)/92821 weeks
46-38.61503 79.5925 (46*2π)/92820 weeks
47-38.40728 77.29752 (47*2π)/92820 weeks
48-38.15522 77.74895 (48*2π)/92819 weeks
49-37.41916 74.7775 (49*2π)/92819 weeks
50-40.97363 75.24424 (50*2π)/92819 weeks
51-41.3848 73.92234 (51*2π)/92818 weeks
52-42.10435 71.94737 (52*2π)/92818 weeks
53-45.84116 71.56078 (53*2π)/92818 weeks
54-49.6021 71.68543 (54*2π)/92817 weeks
55-53.4399 66.45868 (55*2π)/92817 weeks
56-58.53118 61.27821 (56*2π)/92817 weeks
57-59.85074 55.46574 (57*2π)/92816 weeks
58-59.45092 48.75988 (58*2π)/92816 weeks
59-59.58485 43.56481 (59*2π)/92816 weeks
60-56.62156 38.86234 (60*2π)/92815 weeks
61-55.71431 34.97783 (61*2π)/92815 weeks
62-55.09202 31.17533 (62*2π)/92815 weeks
63-52.52956 30.82223 (63*2π)/92815 weeks
64-52.65769 26.45243 (64*2π)/92815 weeks
65-53.11571 25.14731 (65*2π)/92814 weeks
66-52.8646 20.72068 (66*2π)/92814 weeks
67-51.78513 15.69088 (67*2π)/92814 weeks
68-49.82131 13.69706 (68*2π)/92814 weeks
69-47.35532 9.95599 (69*2π)/92813 weeks
70-47.04398 6.86195 (70*2π)/92813 weeks
71-44.68501 3.82905 (71*2π)/92813 weeks
72-42.45623 -.53216 (72*2π)/92813 weeks
73-40.14347 -2.74022 (73*2π)/92813 weeks
74-35.82588 -5.05558 (74*2π)/92813 weeks
75-32.74187 -7.6574 (75*2π)/92812 weeks
76-29.72063 -8.98985 (76*2π)/92812 weeks
77-25.10728 -11.00279 (77*2π)/92812 weeks
78-20.15705 -10.56558 (78*2π)/92812 weeks
79-16.78845 -8.42989 (79*2π)/92812 weeks
80-14.69781 -6.84253 (80*2π)/92812 weeks
81-14.27458 -6.39085 (81*2π)/92811 weeks
82-11.88122 -6.14621 (82*2π)/92811 weeks
83-11.22758 -4.23543 (83*2π)/92811 weeks
84-10.81994 -2.68105 (84*2π)/92811 weeks
85-11.53039 -2.61936 (85*2π)/92811 weeks
86-11.07851 -3.49806 (86*2π)/92811 weeks
87-10.11 -3.9814 (87*2π)/92811 weeks
88-10.57768 -2.86803 (88*2π)/92811 weeks
89-11.74487 -4.49126 (89*2π)/92810 weeks
90-10.24554 -7.15033 (90*2π)/92810 weeks
91-8.27842 -9.29963 (91*2π)/92810 weeks
92-6.27794 -10.19895 (92*2π)/92810 weeks
93-3.94158 -8.85277 (93*2π)/92810 weeks
94-2.78649 -8.64399 (94*2π)/92810 weeks
95-1.33453 -9.4228 (95*2π)/92810 weeks
96.88616 -9.20055 (96*2π)/92810 weeks
972.12356 -7.97856 (97*2π)/92810 weeks
982.05466 -8.05233 (98*2π)/9289 weeks
992.81309 -7.77557 (99*2π)/9289 weeks
1004.76075 -9.05567 (100*2π)/9289 weeks
1017.46284 -8.63906 (101*2π)/9289 weeks
1028.66213 -7.15526 (102*2π)/9289 weeks
10310.82139 -6.97246 (103*2π)/9289 weeks
10411.53343 -5.22097 (104*2π)/9289 weeks
10513.67633 -3.32299 (105*2π)/9289 weeks
10614.16643 -.80037 (106*2π)/9289 weeks
10713.66969 2.35337 (107*2π)/9289 weeks
10811.75992 3.99417 (108*2π)/9289 weeks
10910.31766 3.10908 (109*2π)/9289 weeks
11010.86629 3.79945 (110*2π)/9288 weeks
1119.89449 3.6465 (111*2π)/9288 weeks
1129.62505 4.43298 (112*2π)/9288 weeks
1139.09591 5.05492 (113*2π)/9288 weeks
1148.41969 4.25061 (114*2π)/9288 weeks
1157.94818 3.75734 (115*2π)/9288 weeks
1169.42515 4.19666 (116*2π)/9288 weeks
1179.4077 5.27707 (117*2π)/9288 weeks
1187.6495 4.88523 (118*2π)/9288 weeks
1197.91541 5.74248 (119*2π)/9288 weeks
1207.60415 4.81621 (120*2π)/9288 weeks
1218.04428 4.89305 (121*2π)/9288 weeks
1226.50422 6.87562 (122*2π)/9288 weeks
1235.20611 5.98767 (123*2π)/9288 weeks
1244.02835 4.48048 (124*2π)/9287 weeks
1253.87126 2.84076 (125*2π)/9287 weeks
1263.36439 2.00015 (126*2π)/9287 weeks
1274.52408 .42055 (127*2π)/9287 weeks
1285.94587 -.43409 (128*2π)/9287 weeks
1296.91328 -.73018 (129*2π)/9287 weeks
1308.21625 -.94195 (130*2π)/9287 weeks
1318.85137 -.1641 (131*2π)/9287 weeks
1328.93429 .99697 (132*2π)/9287 weeks
1338.4709 1.96676 (133*2π)/9287 weeks
1347.94947 .8352 (134*2π)/9287 weeks
1357.18949 .49291 (135*2π)/9287 weeks
1367.38672 .09961 (136*2π)/9287 weeks
1377.83917 -.32999 (137*2π)/9287 weeks
1386.68632 -.9729 (138*2π)/9287 weeks
1397.15734 -2.33149 (139*2π)/9287 weeks
1407.84219 -3.56859 (140*2π)/9287 weeks
1418.94621 -3.58568 (141*2π)/9287 weeks
1428.85787 -4.18258 (142*2π)/9287 weeks
1439.5164 -5.80779 (143*2π)/9286 weeks
14411.12876 -7.27231 (144*2π)/9286 weeks
14512.63588 -6.82533 (145*2π)/9286 weeks
14614.13203 -6.94069 (146*2π)/9286 weeks
14714.48879 -6.70158 (147*2π)/9286 weeks
14815.98704 -8.10507 (148*2π)/9286 weeks
14917.28766 -8.33137 (149*2π)/9286 weeks
15019.4057 -7.67164 (150*2π)/9286 weeks
15121.36466 -7.24995 (151*2π)/9286 weeks
15222.74657 -7.08162 (152*2π)/9286 weeks
15324.90489 -5.4763 (153*2π)/9286 weeks
15426.59322 -4.78696 (154*2π)/9286 weeks
15526.84487 -1.9696 (155*2π)/9286 weeks
15627.30461 -.45343 (156*2π)/9286 weeks
15727.50154 -.47237 (157*2π)/9286 weeks
15827.83418 .91579 (158*2π)/9286 weeks
15929.03984 2.0694 (159*2π)/9286 weeks
16029.18675 3.2017 (160*2π)/9286 weeks
16129.19496 4.31797 (161*2π)/9286 weeks
16229.87546 5.00355 (162*2π)/9286 weeks
16330.86828 5.69506 (163*2π)/9286 weeks
16431.56425 7.45348 (164*2π)/9286 weeks
16531.90314 9.22208 (165*2π)/9286 weeks
16632.59755 11.24601 (166*2π)/9286 weeks
16732.15314 13.31936 (167*2π)/9286 weeks
16831.86399 15.26598 (168*2π)/9286 weeks
16931.11622 16.73314 (169*2π)/9285 weeks
17031.09759 19.16983 (170*2π)/9285 weeks
17129.63061 20.98719 (171*2π)/9285 weeks
17227.53459 22.26375 (172*2π)/9285 weeks
17326.40646 23.84292 (173*2π)/9285 weeks
17424.60446 23.91356 (174*2π)/9285 weeks
17523.64001 25.17079 (175*2π)/9285 weeks
17622.212 27.04863 (176*2π)/9285 weeks
17719.69296 27.2791 (177*2π)/9285 weeks
17817.1018 27.50211 (178*2π)/9285 weeks
17915.47539 26.43725 (179*2π)/9285 weeks
18014.3153 26.12851 (180*2π)/9285 weeks
18113.10538 26.08925 (181*2π)/9285 weeks
18211.88389 25.61163 (182*2π)/9285 weeks
18310.00507 24.76709 (183*2π)/9285 weeks
1849.73364 23.6944 (184*2π)/9285 weeks
1859.36183 23.07711 (185*2π)/9285 weeks
1868.71933 23.4657 (186*2π)/9285 weeks
1876.70629 23.10349 (187*2π)/9285 weeks
1885.45463 21.75431 (188*2π)/9285 weeks
1894.96423 20.16325 (189*2π)/9285 weeks
1904.71854 19.54232 (190*2π)/9285 weeks
1914.20028 18.84776 (191*2π)/9285 weeks
1923.3986 16.97677 (192*2π)/9285 weeks
1933.82551 15.08907 (193*2π)/9285 weeks
1944.96052 13.91592 (194*2π)/9285 weeks
1955.75854 14.07911 (195*2π)/9285 weeks
1965.35664 14.24966 (196*2π)/9285 weeks
1975.47297 12.48326 (197*2π)/9285 weeks
1985.92761 12.23657 (198*2π)/9285 weeks
1997.08994 11.37273 (199*2π)/9285 weeks
2007.29284 10.8943 (200*2π)/9285 weeks
2017.80834 10.46031 (201*2π)/9285 weeks
2029.41861 9.6862 (202*2π)/9285 weeks
20311.19765 9.35581 (203*2π)/9285 weeks
20412.6408 11.36018 (204*2π)/9285 weeks
20513.34335 11.72272 (205*2π)/9285 weeks
20613.00302 12.95652 (206*2π)/9285 weeks
20713.13442 13.38347 (207*2π)/9284 weeks
20814.01048 14.14751 (208*2π)/9284 weeks
20914.76588 14.82115 (209*2π)/9284 weeks
21014.62747 16.40739 (210*2π)/9284 weeks
21114.67337 17.27979 (211*2π)/9284 weeks
21213.95376 18.84601 (212*2π)/9284 weeks
21313.5204 19.44711 (213*2π)/9284 weeks
21413.48561 20.91995 (214*2π)/9284 weeks
21511.74001 21.69032 (215*2π)/9284 weeks
21610.99454 22.19592 (216*2π)/9284 weeks
2179.8321 22.07509 (217*2π)/9284 weeks
2189.58283 22.89856 (218*2π)/9284 weeks
2198.66927 24.04235 (219*2π)/9284 weeks
2207.45306 24.27972 (220*2π)/9284 weeks
2215.14616 24.60028 (221*2π)/9284 weeks
2224.65817 24.06385 (222*2π)/9284 weeks
2233.22314 23.65072 (223*2π)/9284 weeks
2242.00051 23.33545 (224*2π)/9284 weeks
2251.27716 22.75242 (225*2π)/9284 weeks
226.02478 21.45806 (226*2π)/9284 weeks
227.09551 21.00303 (227*2π)/9284 weeks
228-.03188 20.42695 (228*2π)/9284 weeks
229-.5382 20.11674 (229*2π)/9284 weeks
230-.8957 19.64071 (230*2π)/9284 weeks
231-1.40283 19.51935 (231*2π)/9284 weeks
232-1.62016 18.78555 (232*2π)/9284 weeks
233-1.89432 18.25849 (233*2π)/9284 weeks
234-1.80086 17.82915 (234*2π)/9284 weeks
235-2.09567 17.48923 (235*2π)/9284 weeks
236-2.09622 17.4901 (236*2π)/9284 weeks
237-2.41987 17.14824 (237*2π)/9284 weeks
238-2.36986 17.09623 (238*2π)/9284 weeks
239-2.77023 17.2313 (239*2π)/9284 weeks
240-3.21532 16.71316 (240*2π)/9284 weeks
241-3.92576 17.07465 (241*2π)/9284 weeks
242-4.10959 16.46431 (242*2π)/9284 weeks
243-5.00347 15.69756 (243*2π)/9284 weeks
244-4.81708 15.39904 (244*2π)/9284 weeks
245-4.47465 14.54627 (245*2π)/9284 weeks
246-4.38005 14.16891 (246*2π)/9284 weeks
247-3.84003 15.1356 (247*2π)/9284 weeks
248-4.79058 14.82038 (248*2π)/9284 weeks
249-4.82997 15.65086 (249*2π)/9284 weeks
250-5.58451 15.8218 (250*2π)/9284 weeks
251-6.35088 15.86961 (251*2π)/9284 weeks
252-7.3962 15.86315 (252*2π)/9284 weeks
253-8.55498 15.23373 (253*2π)/9284 weeks
254-9.46474 14.46127 (254*2π)/9284 weeks
255-9.77162 14.21497 (255*2π)/9284 weeks
256-10.89606 13.75294 (256*2π)/9284 weeks
257-12.04182 12.29067 (257*2π)/9284 weeks
258-12.26932 10.96241 (258*2π)/9284 weeks
259-12.17655 10.13315 (259*2π)/9284 weeks
260-12.4136 9.22165 (260*2π)/9284 weeks
261-12.31128 8.88948 (261*2π)/9284 weeks
262-12.32578 7.85443 (262*2π)/9284 weeks
263-12.28232 7.84053 (263*2π)/9284 weeks
264-12.8665 7.50717 (264*2π)/9284 weeks
265-13.57414 6.95994 (265*2π)/9284 weeks
266-14.58546 6.3382 (266*2π)/9283 weeks
267-14.89756 5.09533 (267*2π)/9283 weeks
268-15.53093 3.43956 (268*2π)/9283 weeks
269-15.98235 2.28391 (269*2π)/9283 weeks
270-15.79606 .94286 (270*2π)/9283 weeks
271-15.69926 -.66362 (271*2π)/9283 weeks
272-15.66174 -1.91895 (272*2π)/9283 weeks
273-14.9674 -3.1975 (273*2π)/9283 weeks
274-14.74154 -4.60424 (274*2π)/9283 weeks
275-14.27117 -5.89181 (275*2π)/9283 weeks
276-13.15392 -7.4363 (276*2π)/9283 weeks
277-12.16591 -7.84469 (277*2π)/9283 weeks
278-11.76247 -8.29781 (278*2π)/9283 weeks
279-11.44724 -9.48454 (279*2π)/9283 weeks
280-11.14757 -10.72221 (280*2π)/9283 weeks
281-10.01124 -11.93927 (281*2π)/9283 weeks
282-8.94859 -13.60566 (282*2π)/9283 weeks
283-7.34639 -14.15173 (283*2π)/9283 weeks
284-6.17355 -15.148 (284*2π)/9283 weeks
285-4.26757 -15.65288 (285*2π)/9283 weeks
286-2.87401 -16.17809 (286*2π)/9283 weeks
287-1.56128 -16.61366 (287*2π)/9283 weeks
288.53439 -16.45665 (288*2π)/9283 weeks
2891.85414 -16.09665 (289*2π)/9283 weeks
2903.28897 -15.72388 (290*2π)/9283 weeks
2914.53583 -15.90094 (291*2π)/9283 weeks
2925.93256 -15.21808 (292*2π)/9283 weeks
2937.43458 -14.30104 (293*2π)/9283 weeks
2948.24771 -13.0577 (294*2π)/9283 weeks
2958.47981 -12.50572 (295*2π)/9283 weeks
2969.64244 -12.37311 (296*2π)/9283 weeks
29710.53384 -11.46724 (297*2π)/9283 weeks
29811.18968 -10.75379 (298*2π)/9283 weeks
29912.18752 -9.41301 (299*2π)/9283 weeks
30012.35945 -8.24719 (300*2π)/9283 weeks
30112.72301 -7.11716 (301*2π)/9283 weeks
30212.90439 -6.27681 (302*2π)/9283 weeks
30312.7682 -4.57049 (303*2π)/9283 weeks
30411.96245 -3.52805 (304*2π)/9283 weeks
30511.00661 -3.46439 (305*2π)/9283 weeks
30611.14801 -3.05663 (306*2π)/9283 weeks
30711.02579 -2.87294 (307*2π)/9283 weeks
30810.65351 -1.8147 (308*2π)/9283 weeks
3099.86332 -1.81329 (309*2π)/9283 weeks
3109.5264 -1.38988 (310*2π)/9283 weeks
3118.85332 -1.01155 (311*2π)/9283 weeks
3128.0105 -.94489 (312*2π)/9283 weeks
3137.02702 -1.28212 (313*2π)/9283 weeks
3146.73032 -2.01315 (314*2π)/9283 weeks
3156.01686 -2.84555 (315*2π)/9283 weeks
3166.58932 -3.52287 (316*2π)/9283 weeks
3176.12967 -4.2919 (317*2π)/9283 weeks
3187.09003 -4.62403 (318*2π)/9283 weeks
3197.51365 -4.77627 (319*2π)/9283 weeks
3207.16686 -4.59432 (320*2π)/9283 weeks
3217.00312 -5.2982 (321*2π)/9283 weeks
3227.46929 -6.30442 (322*2π)/9283 weeks
3237.98023 -6.95824 (323*2π)/9283 weeks
3249.12711 -7.10211 (324*2π)/9283 weeks
3259.77286 -7.47532 (325*2π)/9283 weeks
32610.66403 -7.27249 (326*2π)/9283 weeks
32711.40114 -7.12304 (327*2π)/9283 weeks
32812.19343 -6.8306 (328*2π)/9283 weeks
32912.33411 -6.58208 (329*2π)/9283 weeks
33012.52741 -6.09791 (330*2π)/9283 weeks
33112.82305 -6.60983 (331*2π)/9283 weeks
33213.58692 -6.77219 (332*2π)/9283 weeks
33314.3914 -6.75836 (333*2π)/9283 weeks
33415.75422 -6.70006 (334*2π)/9283 weeks
33516.53913 -6.12699 (335*2π)/9283 weeks
33617.54562 -5.02948 (336*2π)/9283 weeks
33718.31937 -4.44727 (337*2π)/9283 weeks
33818.63164 -3.17876 (338*2π)/9283 weeks
33918.68893 -2.19528 (339*2π)/9283 weeks
34018.71134 -1.4837 (340*2π)/9283 weeks
34118.89687 -1.01976 (341*2π)/9283 weeks
34219.13521 .05739 (342*2π)/9283 weeks
34319.18146 .88807 (343*2π)/9283 weeks
34419.02953 1.54961 (344*2π)/9283 weeks
34519.28802 1.43017 (345*2π)/9283 weeks
34619.54495 3.05952 (346*2π)/9283 weeks
34719.1999 4.43159 (347*2π)/9283 weeks
34818.36488 5.02333 (348*2π)/9283 weeks
34918.16499 5.4082 (349*2π)/9283 weeks
35017.75224 5.85491 (350*2π)/9283 weeks
35117.35324 6.8575 (351*2π)/9283 weeks
35217.01716 7.24095 (352*2π)/9283 weeks
35315.99021 7.77601 (353*2π)/9283 weeks
35415.17422 8.30021 (354*2π)/9283 weeks
35514.71696 7.89192 (355*2π)/9283 weeks
35614.36932 8.07347 (356*2π)/9283 weeks
35713.9148 8.05958 (357*2π)/9283 weeks
35813.48486 8.06238 (358*2π)/9283 weeks
35913.43645 7.63103 (359*2π)/9283 weeks
36013.61984 7.69437 (360*2π)/9283 weeks
36113.99966 8.16092 (361*2π)/9283 weeks
36213.91737 8.75956 (362*2π)/9283 weeks
36313.70721 9.51798 (363*2π)/9283 weeks
36413.49221 10.09157 (364*2π)/9283 weeks
36512.95104 10.77258 (365*2π)/9283 weeks
36611.98199 11.44319 (366*2π)/9283 weeks
36711.3517 11.58285 (367*2π)/9283 weeks
36810.65893 11.73271 (368*2π)/9283 weeks
3699.73025 11.85706 (369*2π)/9283 weeks
3709.3389 11.80265 (370*2π)/9283 weeks
3718.73551 11.95362 (371*2π)/9283 weeks
3727.96271 12.3617 (372*2π)/9282 weeks
3736.89754 12.44059 (373*2π)/9282 weeks
3745.66556 11.90511 (374*2π)/9282 weeks
3755.3524 11.06316 (375*2π)/9282 weeks
3764.52606 10.85905 (376*2π)/9282 weeks
3774.35622 10.69902 (377*2π)/9282 weeks
3783.5389 9.7461 (378*2π)/9282 weeks
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