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Fourier Analysis of ARDM (Aradigm Corporation)


ARDM (Aradigm Corporation) appears to have interesting cyclic behaviour every 89 weeks (166.9108*sine), 107 weeks (157.8138*cosine), and 98 weeks (155.637*sine).

ARDM (Aradigm Corporation) has an average price of 672.24 (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 6/20/1996 to 1/9/2017 for ARDM (Aradigm Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0672.2416   0 
1598.6912 917.8275 (1*2π)/10731,073 weeks
2-177.384 644.6464 (2*2π)/1073537 weeks
3-288.3747 131.6011 (3*2π)/1073358 weeks
48.21312 -87.20444 (4*2π)/1073268 weeks
5187.2789 107.4416 (5*2π)/1073215 weeks
621.245 256.0936 (6*2π)/1073179 weeks
7-138.4173 145.4752 (7*2π)/1073153 weeks
8-124.9735 -38.00142 (8*2π)/1073134 weeks
940.08489 -102.1458 (9*2π)/1073119 weeks
10157.8138 -3.55571 (10*2π)/1073107 weeks
11126.8036 155.637 (11*2π)/107398 weeks
12-39.33612 166.9108 (12*2π)/107389 weeks
13-73.81979 34.09545 (13*2π)/107383 weeks
1412.9066 -1.24538 (14*2π)/107377 weeks
1532.9438 43.75167 (15*2π)/107372 weeks
1618.79054 53.95759 (16*2π)/107367 weeks
1713.95977 62.39768 (17*2π)/107363 weeks
18-3.8759 66.08736 (18*2π)/107360 weeks
19-20.17267 65.12111 (19*2π)/107356 weeks
20-53.96507 39.41842 (20*2π)/107354 weeks
21-27.99104 -19.53184 (21*2π)/107351 weeks
2233.75229 -2.66373 (22*2π)/107349 weeks
2336.13266 49.994 (23*2π)/107347 weeks
24-8.44269 82.85753 (24*2π)/107345 weeks
25-74.69698 48.59088 (25*2π)/107343 weeks
26-57.82124 -35.22562 (26*2π)/107341 weeks
2714.70449 -39.3576 (27*2π)/107340 weeks
2838.7282 5.70152 (28*2π)/107338 weeks
2912.56591 49.1501 (29*2π)/107337 weeks
30-54.62951 28.99481 (30*2π)/107336 weeks
31-45.00032 -67.93623 (31*2π)/107335 weeks
3270.63343 -85.61291 (32*2π)/107334 weeks
33132.5366 15.44214 (33*2π)/107333 weeks
3480.33955 121.2111 (34*2π)/107332 weeks
35-42.3266 127.1941 (35*2π)/107331 weeks
36-91.75229 27.59803 (36*2π)/107330 weeks
37-36.74247 -41.66174 (37*2π)/107329 weeks
3829.54783 -21.48069 (38*2π)/107328 weeks
3927.90502 28.34614 (39*2π)/107328 weeks
40-4.8415 38.93843 (40*2π)/107327 weeks
41-27.77116 22.82602 (41*2π)/107326 weeks
42-32.44744 -7.90762 (42*2π)/107326 weeks
43-8.34326 -39.18393 (43*2π)/107325 weeks
4446.17278 -34.99895 (44*2π)/107324 weeks
4565.04614 28.16681 (45*2π)/107324 weeks
4611.22118 64.80857 (46*2π)/107323 weeks
47-34.2061 29.90091 (47*2π)/107323 weeks
48-19.43937 -14.91717 (48*2π)/107322 weeks
4918.55003 -18.82945 (49*2π)/107322 weeks
5039.82813 7.48028 (50*2π)/107321 weeks
5126.13092 43.32041 (51*2π)/107321 weeks
52-11.43361 42.63651 (52*2π)/107321 weeks
53-26.65346 18.53985 (53*2π)/107320 weeks
54-24.31497 -9.32952 (54*2π)/107320 weeks
556.9602 -28.83224 (55*2π)/107320 weeks
5642.40859 -2.77572 (56*2π)/107319 weeks
5726.64589 39.03055 (57*2π)/107319 weeks
58-15.57054 36.95224 (58*2π)/107319 weeks
59-28.1507 -2.29004 (59*2π)/107318 weeks
603.25189 -31.01162 (60*2π)/107318 weeks
6147.41582 -12.78083 (61*2π)/107318 weeks
6248.19141 39.99008 (62*2π)/107317 weeks
63-1.79536 61.65776 (63*2π)/107317 weeks
64-39.76387 26.15897 (64*2π)/107317 weeks
65-27.20621 -19.43055 (65*2π)/107317 weeks
6618.80447 -30.93531 (66*2π)/107316 weeks
6749.85814 9.69131 (67*2π)/107316 weeks
6818.7752 54.56168 (68*2π)/107316 weeks
69-32.62467 35.778 (69*2π)/107316 weeks
70-27.7233 -14.53475 (70*2π)/107315 weeks
7115.04557 -22.50776 (71*2π)/107315 weeks
7232.85126 8.95044 (72*2π)/107315 weeks
7313.02477 32.71106 (73*2π)/107315 weeks
74-12.67919 23.70751 (74*2π)/107315 weeks
75-14.10086 -.44624 (75*2π)/107314 weeks
765.53127 -11.43336 (76*2π)/107314 weeks
7723.66396 .36813 (77*2π)/107314 weeks
7822.31656 19.65739 (78*2π)/107314 weeks
799.87782 30.05838 (79*2π)/107314 weeks
80-10.70143 28.37162 (80*2π)/107313 weeks
81-17.90854 3.53968 (81*2π)/107313 weeks
824.55198 -8.30437 (82*2π)/107313 weeks
8318.93235 7.65949 (83*2π)/107313 weeks
8411.58285 25.24334 (84*2π)/107313 weeks
85-8.50405 28.24602 (85*2π)/107313 weeks
86-23.00036 8.91925 (86*2π)/107312 weeks
87-9.98952 -14.92825 (87*2π)/107312 weeks
8818.46142 -13.11338 (88*2π)/107312 weeks
8930.0795 14.17922 (89*2π)/107312 weeks
908.70883 38.97171 (90*2π)/107312 weeks
91-24.14377 26.71502 (91*2π)/107312 weeks
92-24.22657 -6.0768 (92*2π)/107312 weeks
931.19157 -19.49051 (93*2π)/107312 weeks
9424.87347 -5.58342 (94*2π)/107311 weeks
9523.50904 21.468 (95*2π)/107311 weeks
962.32865 30.94261 (96*2π)/107311 weeks
97-15.33284 22.09635 (97*2π)/107311 weeks
98-18.58468 1.91953 (98*2π)/107311 weeks
99-1.77717 -9.76039 (99*2π)/107311 weeks
10014.1089 2.6113 (100*2π)/107311 weeks
1014.47057 18.94751 (101*2π)/107311 weeks
102-9.08303 11.56196 (102*2π)/107311 weeks
103-5.53711 3.2138 (103*2π)/107310 weeks
104-3.5191 2.72757 (104*2π)/107310 weeks
105-.66448 -.83374 (105*2π)/107310 weeks
1067.42729 3.89557 (106*2π)/107310 weeks
107-.4761 15.81366 (107*2π)/107310 weeks
108-17.03182 6.50502 (108*2π)/107310 weeks
109-11.63529 -14.80361 (109*2π)/107310 weeks
1109.08837 -18.45354 (110*2π)/107310 weeks
11122.71354 -5.77899 (111*2π)/107310 weeks
11222.1895 11.91224 (112*2π)/107310 weeks
1138.09367 21.19654 (113*2π)/10739 weeks
114-5.48599 14.41932 (114*2π)/10739 weeks
115-4.17603 .28761 (115*2π)/10739 weeks
1169.33222 -.33285 (116*2π)/10739 weeks
11712.13435 11.75289 (117*2π)/10739 weeks
1182.88805 19.80706 (118*2π)/10739 weeks
119-9.45159 15.72694 (119*2π)/10739 weeks
120-14.02866 3.95085 (120*2π)/10739 weeks
121-6.07617 -9.42603 (121*2π)/10739 weeks
12211.47019 -5.46292 (122*2π)/10739 weeks
12311.08442 12.14016 (123*2π)/10739 weeks
124-5.69956 16.31327 (124*2π)/10739 weeks
125-17.00912 -.23692 (125*2π)/10739 weeks
126-1.83186 -19.00288 (126*2π)/10739 weeks
12719.84713 -9.64766 (127*2π)/10738 weeks
12821.23116 9.63162 (128*2π)/10738 weeks
1297.34458 20.96345 (129*2π)/10738 weeks
130-9.29621 13.64184 (130*2π)/10738 weeks
131-7.56676 -3.40644 (131*2π)/10738 weeks
1325.77877 -6.10696 (132*2π)/10738 weeks
13312.67287 1.95831 (133*2π)/10738 weeks
1348.93909 11.81073 (134*2π)/10738 weeks
135-.58626 11.39569 (135*2π)/10738 weeks
136-2.91377 4.8329 (136*2π)/10738 weeks
137-.84335 .1298 (137*2π)/10738 weeks
1385.07282 -2.4351 (138*2π)/10738 weeks
13911.85094 3.34293 (139*2π)/10738 weeks
1407.8255 13.22696 (140*2π)/10738 weeks
141-3.62714 12.91732 (141*2π)/10738 weeks
142-8.39288 1.14932 (142*2π)/10738 weeks
1431.07475 -8.73379 (143*2π)/10738 weeks
14415.02035 -4.48886 (144*2π)/10737 weeks
14517.11676 10.44479 (145*2π)/10737 weeks
1465.01543 17.97086 (146*2π)/10737 weeks
147-4.77329 9.64443 (147*2π)/10737 weeks
1481.22559 1.34389 (148*2π)/10737 weeks
1497.12577 5.92519 (149*2π)/10737 weeks
1505.23822 11.95497 (150*2π)/10737 weeks
151-3.09007 13.95663 (151*2π)/10737 weeks
152-9.76423 5.47278 (152*2π)/10737 weeks
153-4.54656 -5.72973 (153*2π)/10737 weeks
1548.75902 -5.83561 (154*2π)/10737 weeks
15515.36453 6.39337 (155*2π)/10737 weeks
1565.97966 19.04683 (156*2π)/10737 weeks
157-9.71756 14.20088 (157*2π)/10737 weeks
158-11.42795 -1.37268 (158*2π)/10737 weeks
1591.11908 -10.1439 (159*2π)/10737 weeks
16015.77142 -2.24019 (160*2π)/10737 weeks
16112.35489 14.97553 (161*2π)/10737 weeks
162-2.74001 14.80963 (162*2π)/10737 weeks
163-4.53121 5.47116 (163*2π)/10737 weeks
164-1.13508 2.32643 (164*2π)/10737 weeks
1653.83953 2.11875 (165*2π)/10737 weeks
1664.35581 9.46713 (166*2π)/10736 weeks
167-3.40971 9.54337 (167*2π)/10736 weeks
168-5.39765 4.30514 (168*2π)/10736 weeks
169-4.06315 -.41831 (169*2π)/10736 weeks
170.91282 -3.50432 (170*2π)/10736 weeks
1717.8598 -.64401 (171*2π)/10736 weeks
1727.35182 7.01241 (172*2π)/10736 weeks
1733.10293 7.66888 (173*2π)/10736 weeks
1743.08635 9.87819 (174*2π)/10736 weeks
175-4.94562 10.91887 (175*2π)/10736 weeks
176-7.1803 .9376 (176*2π)/10736 weeks
1772.1719 -2.71191 (177*2π)/10736 weeks
1787.58847 5.80498 (178*2π)/10736 weeks
179.30074 14.67019 (179*2π)/10736 weeks
180-13.67453 10.43556 (180*2π)/10736 weeks
181-14.88772 -7.14632 (181*2π)/10736 weeks
1821.97819 -14.21651 (182*2π)/10736 weeks
18312.4198 -2.37887 (183*2π)/10736 weeks
1847.08264 8.59641 (184*2π)/10736 weeks
185-3.34817 8.76665 (185*2π)/10736 weeks
186-7.14722 -1.0852 (186*2π)/10736 weeks
187.75824 -7.07277 (187*2π)/10736 weeks
1888.47232 -3.11281 (188*2π)/10736 weeks
1898.07494 5.8574 (189*2π)/10736 weeks
190-.89899 7.15915 (190*2π)/10736 weeks
191-3.26954 -1.39401 (191*2π)/10736 weeks
1924.97382 -5.91637 (192*2π)/10736 weeks
19313.32807 1.27596 (193*2π)/10736 weeks
1949.03437 13.29227 (194*2π)/10736 weeks
195-4.45704 14.03489 (195*2π)/10736 weeks
196-10.1658 2.32868 (196*2π)/10735 weeks
197-2.74583 -6.03409 (197*2π)/10735 weeks
1984.9176 -2.77189 (198*2π)/10735 weeks
1993.60387 1.07688 (199*2π)/10735 weeks
2004.51163 -.2453 (200*2π)/10735 weeks
2016.95147 3.76725 (201*2π)/10735 weeks
2022.04233 7.28945 (202*2π)/10735 weeks
203-1.75283 3.7495 (203*2π)/10735 weeks
204.08864 -.36249 (204*2π)/10735 weeks
2054.50975 1.56078 (205*2π)/10735 weeks
2061.20602 6.34302 (206*2π)/10735 weeks
207-4.49862 2.83289 (207*2π)/10735 weeks
208-3.41082 -3.56908 (208*2π)/10735 weeks
2091.19165 -6.8671 (209*2π)/10735 weeks
2107.67041 -6.87422 (210*2π)/10735 weeks
21113.06964 -1.54806 (211*2π)/10735 weeks
21212.78278 7.24672 (212*2π)/10735 weeks
2133.94357 12.52462 (213*2π)/10735 weeks
214-4.95754 6.03481 (214*2π)/10735 weeks
215-1.02922 -4.48179 (215*2π)/10735 weeks
2169.16229 -3.18344 (216*2π)/10735 weeks
21711.64355 6.03086 (217*2π)/10735 weeks
2183.97577 12.042 (218*2π)/10735 weeks
219-4.01534 7.48421 (219*2π)/10735 weeks
220-3.2191 -1.5445 (220*2π)/10735 weeks
2215.60735 -3.98626 (221*2π)/10735 weeks
22211.62426 3.19102 (222*2π)/10735 weeks
2237.45244 13.3951 (223*2π)/10735 weeks
224-6.12988 13.80451 (224*2π)/10735 weeks
225-12.68305 -.56845 (225*2π)/10735 weeks
226-.19847 -13.33224 (226*2π)/10735 weeks
22716.35247 -5.12196 (227*2π)/10735 weeks
22813.72719 11.69847 (228*2π)/10735 weeks
229-.18938 13.95631 (229*2π)/10735 weeks
230-5.36482 4.23589 (230*2π)/10735 weeks
2311.47484 -1.59832 (231*2π)/10735 weeks
2326.25795 4.18225 (232*2π)/10735 weeks
2331.74794 8.14165 (233*2π)/10735 weeks
234-2.70944 5.93812 (234*2π)/10735 weeks
235-2.66193 1.14531 (235*2π)/10735 weeks
236.86515 .61481 (236*2π)/10735 weeks
237.22946 1.71183 (237*2π)/10735 weeks
238.40229 -1.06333 (238*2π)/10735 weeks
2395.74035 -1.08887 (239*2π)/10734 weeks
2406.14657 5.93701 (240*2π)/10734 weeks
241-.74025 6.51072 (241*2π)/10734 weeks
242-1.75845 1.34185 (242*2π)/10734 weeks
2431.09517 -1.06692 (243*2π)/10734 weeks
2445.21642 -.29841 (244*2π)/10734 weeks
2456.52195 4.66316 (245*2π)/10734 weeks
2461.84822 9.4846 (246*2π)/10734 weeks
247-7.20953 5.37889 (247*2π)/10734 weeks
248-4.90564 -6.83656 (248*2π)/10734 weeks
2498.41707 -8.63256 (249*2π)/10734 weeks
25016.22941 4.12999 (250*2π)/10734 weeks
2514.92793 16.99273 (251*2π)/10734 weeks
252-10.16851 8.55335 (252*2π)/10734 weeks
253-5.32625 -6.67986 (253*2π)/10734 weeks
2548.68569 -5.75486 (254*2π)/10734 weeks
25512.40383 6.37448 (255*2π)/10734 weeks
2563.88056 14.48761 (256*2π)/10734 weeks
257-7.53348 12.36081 (257*2π)/10734 weeks
258-12.25556 .4127 (258*2π)/10734 weeks
259-4.09995 -8.5503 (259*2π)/10734 weeks
2606.11326 -6.96794 (260*2π)/10734 weeks
26110.31673 2.3164 (261*2π)/10734 weeks
2623.23289 9.87912 (262*2π)/10734 weeks
263-6.11135 5.79794 (263*2π)/10734 weeks
264-5.00306 -4.39683 (264*2π)/10734 weeks
2654.70054 -6.0047 (265*2π)/10734 weeks
2668.51096 2.28024 (266*2π)/10734 weeks
2671.9218 7.22222 (267*2π)/10734 weeks
268-3.75374 3.08664 (268*2π)/10734 weeks
269-2.15957 -3.41422 (269*2π)/10734 weeks
2703.25392 -4.01966 (270*2π)/10734 weeks
2715.64502 -2.19169 (271*2π)/10734 weeks
2727.93326 .76694 (272*2π)/10734 weeks
2735.80807 5.19489 (273*2π)/10734 weeks
2741.76044 4.37983 (274*2π)/10734 weeks
2751.91554 1.65406 (275*2π)/10734 weeks
2764.36433 1.42297 (276*2π)/10734 weeks
2775.48737 4.63072 (277*2π)/10734 weeks
2782.57696 7.21518 (278*2π)/10734 weeks
279-1.36727 6.78436 (279*2π)/10734 weeks
280-3.45956 3.1439 (280*2π)/10734 weeks
281-2.80017 .90462 (281*2π)/10734 weeks
282-2.87297 -2.5044 (282*2π)/10734 weeks
2833.19581 -6.08367 (283*2π)/10734 weeks
2849.5529 .56671 (284*2π)/10734 weeks
2854.24327 8.11372 (285*2π)/10734 weeks
286-3.74575 5.59225 (286*2π)/10734 weeks
287-5.09991 -2.54003 (287*2π)/10734 weeks
2882.40994 -8.6871 (288*2π)/10734 weeks
28913.20469 -3.03231 (289*2π)/10734 weeks
29010.47233 10.81829 (290*2π)/10734 weeks
291-3.72272 11.48088 (291*2π)/10734 weeks
292-8.12927 -.54025 (292*2π)/10734 weeks
293.85697 -8.83523 (293*2π)/10734 weeks
29411.79983 -3.50873 (294*2π)/10734 weeks
29511.14819 9.00685 (295*2π)/10734 weeks
296-1.70726 13.02402 (296*2π)/10734 weeks
297-9.46568 2.29187 (297*2π)/10734 weeks
298-3.12673 -8.85455 (298*2π)/10734 weeks
29910.10329 -7.16386 (299*2π)/10734 weeks
30012.67623 5.18725 (300*2π)/10734 weeks
3013.60905 11.92428 (301*2π)/10734 weeks
302-6.33704 6.91907 (302*2π)/10734 weeks
303-5.63518 -4.64988 (303*2π)/10734 weeks
3046.02091 -7.91406 (304*2π)/10734 weeks
30512.44064 2.0298 (305*2π)/10734 weeks
3065.69698 10.14935 (306*2π)/10734 weeks
307-1.86125 7.13302 (307*2π)/10733 weeks
308-2.40708 2.05479 (308*2π)/10733 weeks
309-.10428 -.89385 (309*2π)/10733 weeks
3103.71599 -.74694 (310*2π)/10733 weeks
3114.58227 2.47055 (311*2π)/10733 weeks
3123.60304 3.70027 (312*2π)/10733 weeks
3132.14216 5.83742 (313*2π)/10733 weeks
314-2.45 4.25804 (314*2π)/10733 weeks
315-.57782 -1.04951 (315*2π)/10733 weeks
3163.45891 1.23799 (316*2π)/10733 weeks
3171.25574 3.35368 (317*2π)/10733 weeks
318.69138 2.22843 (318*2π)/10733 weeks
319-.59664 3.37097 (319*2π)/10733 weeks
320-3.75987 -.69914 (320*2π)/10733 weeks
3211.24435 -6.05886 (321*2π)/10733 weeks
3228.33696 -2.77001 (322*2π)/10733 weeks
3238.10822 4.07356 (323*2π)/10733 weeks
3243.37363 7.0235 (324*2π)/10733 weeks
325-1.69504 3.89432 (325*2π)/10733 weeks
3261.53118 -1.59984 (326*2π)/10733 weeks
3277.01802 2.07155 (327*2π)/10733 weeks
3284.32843 8.45666 (328*2π)/10733 weeks
329-3.19158 8.14988 (329*2π)/10733 weeks
330-5.96116 .72332 (330*2π)/10733 weeks
331.63005 -4.45002 (331*2π)/10733 weeks
3326.74368 .97969 (332*2π)/10733 weeks
3333.2602 7.34001 (333*2π)/10733 weeks
334-3.3248 7.35587 (334*2π)/10733 weeks
335-7.51332 1.49047 (335*2π)/10733 weeks
336-4.32356 -6.10288 (336*2π)/10733 weeks
3374.30759 -6.41085 (337*2π)/10733 weeks
3387.06547 .40979 (338*2π)/10733 weeks
3393.81281 4.00105 (339*2π)/10733 weeks
340.39788 4.45162 (340*2π)/10733 weeks
341-3.08713 1.14464 (341*2π)/10733 weeks
342.57127 -3.63238 (342*2π)/10733 weeks
3434.93854 -.55754 (343*2π)/10733 weeks
3443.36216 3.3845 (344*2π)/10733 weeks
345-.60114 2.87856 (345*2π)/10733 weeks
346-.40783 -.66319 (346*2π)/10733 weeks
3471.88435 -.46016 (347*2π)/10733 weeks
3481.75272 .25527 (348*2π)/10733 weeks
3491.89959 .21875 (349*2π)/10733 weeks
3501.92841 -.06352 (350*2π)/10733 weeks
3513.41593 .17047 (351*2π)/10733 weeks
3522.83205 2.45154 (352*2π)/10733 weeks
353.80171 2.02823 (353*2π)/10733 weeks
354.51007 .79164 (354*2π)/10733 weeks
355.9912 -.54975 (355*2π)/10733 weeks
3563.60375 -.62398 (356*2π)/10733 weeks
3573.96342 3.64299 (357*2π)/10733 weeks
358-1.68424 4.23769 (358*2π)/10733 weeks
359-3.43675 -1.88731 (359*2π)/10733 weeks
3602.16396 -5.18432 (360*2π)/10733 weeks
3616.13231 -1.28699 (361*2π)/10733 weeks
3625.04594 2.25267 (362*2π)/10733 weeks
3631.97256 3.76079 (363*2π)/10733 weeks
364-.81164 .85927 (364*2π)/10733 weeks
3652.35396 -2.36303 (365*2π)/10733 weeks
3665.63593 1.27037 (366*2π)/10733 weeks
3671.95787 4.61347 (367*2π)/10733 weeks
368-1.67128 2.03141 (368*2π)/10733 weeks
369-1.11622 -1.81953 (369*2π)/10733 weeks
3702.28345 -3.87424 (370*2π)/10733 weeks
3716.79401 -1.50266 (371*2π)/10733 weeks
3725.90792 4.21719 (372*2π)/10733 weeks
373.14603 5.55415 (373*2π)/10733 weeks
374-3.56357 .16047 (374*2π)/10733 weeks
375.69906 -4.76757 (375*2π)/10733 weeks
3765.71088 -2.65958 (376*2π)/10733 weeks
3775.38456 1.74978 (377*2π)/10733 weeks
3781.89375 1.67591 (378*2π)/10733 weeks
3792.28659 -1.14403 (379*2π)/10733 weeks
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