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Fourier Analysis of ARDM (Aradigm Corporation)


ARDM (Aradigm Corporation) appears to have interesting cyclic behaviour every 90 weeks (175.5271*sine), 108 weeks (150.1578*cosine), and 98 weeks (140.6269*sine).

ARDM (Aradigm Corporation) has an average price of 666.05 (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 3/20/2017 for ARDM (Aradigm Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0666.0518   0 
1602.9267 907.3471 (1*2π)/10831,083 weeks
2-168.2815 648.2237 (2*2π)/1083542 weeks
3-289.8323 142.5486 (3*2π)/1083361 weeks
4-4.24593 -87.07339 (4*2π)/1083271 weeks
5186.1088 94.47764 (5*2π)/1083217 weeks
633.65076 253.6196 (6*2π)/1083181 weeks
7-131.7264 154.9173 (7*2π)/1083155 weeks
8-131.7285 -25.5673 (8*2π)/1083135 weeks
925.6374 -103.6436 (9*2π)/1083120 weeks
10150.1578 -16.54814 (10*2π)/1083108 weeks
11138.1138 140.6269 (11*2π)/108398 weeks
12-23.15015 175.5271 (12*2π)/108390 weeks
13-79.22649 47.95061 (13*2π)/108383 weeks
142.92253 -4.92891 (14*2π)/108377 weeks
1534.29112 38.75298 (15*2π)/108372 weeks
1619.51308 53.30781 (16*2π)/108368 weeks
1715.38633 59.88721 (17*2π)/108364 weeks
18-1.16756 66.17406 (18*2π)/108360 weeks
19-15.98065 64.45147 (19*2π)/108357 weeks
20-48.61171 48.88429 (20*2π)/108354 weeks
21-39.60817 -11.38443 (21*2π)/108352 weeks
2224.94883 -12.15647 (22*2π)/108349 weeks
2339.718 39.53453 (23*2π)/108347 weeks
245.35868 78.32843 (24*2π)/108345 weeks
25-62.00115 64.37224 (25*2π)/108343 weeks
26-71.48305 -18.61326 (26*2π)/108342 weeks
27-.26273 -46.31954 (27*2π)/108340 weeks
2836.8723 -6.49138 (28*2π)/108339 weeks
2925.38725 39.42957 (29*2π)/108337 weeks
30-37.06482 44.80778 (30*2π)/108336 weeks
31-62.0012 -39.63747 (31*2π)/108335 weeks
3234.31531 -95.33558 (32*2π)/108334 weeks
33124.9304 -20.64157 (33*2π)/108333 weeks
34107.3816 92.77102 (34*2π)/108332 weeks
35-3.07504 139.9177 (35*2π)/108331 weeks
36-89.06765 63.18084 (36*2π)/108330 weeks
37-61.80647 -26.92111 (37*2π)/108329 weeks
3812.09312 -36.94525 (38*2π)/108329 weeks
3935.63642 13.55883 (39*2π)/108328 weeks
407.04962 39.25657 (40*2π)/108327 weeks
41-20.19459 30.64079 (41*2π)/108326 weeks
42-33.1588 4.80452 (42*2π)/108326 weeks
43-21.96221 -27.84993 (43*2π)/108325 weeks
4422.49162 -44.19616 (44*2π)/108325 weeks
4566.7935 -1.3305 (45*2π)/108324 weeks
4638.72803 57.92982 (46*2π)/108324 weeks
47-20.87118 50.77645 (47*2π)/108323 weeks
48-31.81093 1.06881 (48*2π)/108323 weeks
492.03303 -22.3049 (49*2π)/108322 weeks
5032.59793 -7.17247 (50*2π)/108322 weeks
5138.08556 27.50909 (51*2π)/108321 weeks
525.21167 48.28644 (52*2π)/108321 weeks
53-21.79337 30.4408 (53*2π)/108320 weeks
54-27.70412 5.32213 (54*2π)/108320 weeks
55-12.61253 -22.44758 (55*2π)/108320 weeks
5627.57872 -22.47215 (56*2π)/108319 weeks
5741.45959 19.71707 (57*2π)/108319 weeks
586.47116 44.28309 (58*2π)/108319 weeks
59-26.96972 20.79299 (59*2π)/108318 weeks
60-18.37926 -18.89306 (60*2π)/108318 weeks
6124.10889 -29.61487 (61*2π)/108318 weeks
6255.04841 8.73298 (62*2π)/108317 weeks
6330.35553 55.74429 (63*2π)/108317 weeks
64-22.55214 51.81045 (64*2π)/108317 weeks
65-40.10871 6.02121 (65*2π)/108317 weeks
66-11.32967 -29.57493 (66*2π)/108316 weeks
6735.69684 -20.54744 (67*2π)/108316 weeks
6845.38212 30.22426 (68*2π)/108316 weeks
69-2.60606 55.49516 (69*2π)/108316 weeks
70-38.45891 16.76326 (70*2π)/108315 weeks
71-13.58155 -23.6604 (71*2π)/108315 weeks
7225.39934 -13.94128 (72*2π)/108315 weeks
7329.23846 19.43777 (73*2π)/108315 weeks
743.4779 33.04325 (74*2π)/108315 weeks
75-15.99812 16.237 (75*2π)/108314 weeks
76-9.4904 -5.99274 (76*2π)/108314 weeks
7711.90905 -10.12427 (77*2π)/108314 weeks
7825.08885 6.07049 (78*2π)/108314 weeks
7919.21541 23.03216 (79*2π)/108314 weeks
805.1799 31.29281 (80*2π)/108314 weeks
81-15.36358 23.5724 (81*2π)/108313 weeks
82-14.04153 -2.24394 (82*2π)/108313 weeks
839.8604 -6.08181 (83*2π)/108313 weeks
8418.77934 12.09118 (84*2π)/108313 weeks
857.8245 27.25338 (85*2π)/108313 weeks
86-12.76132 25.84259 (86*2π)/108313 weeks
87-22.65346 3.45619 (87*2π)/108312 weeks
88-4.82276 -16.88228 (88*2π)/108312 weeks
8922.36534 -9.42181 (89*2π)/108312 weeks
9028.6177 19.38158 (90*2π)/108312 weeks
912.84917 39.62734 (91*2π)/108312 weeks
92-26.50232 21.662 (92*2π)/108312 weeks
93-21.27827 -9.52819 (93*2π)/108312 weeks
944.92685 -18.99843 (94*2π)/108312 weeks
9526.16104 -2.36594 (95*2π)/108311 weeks
9621.3083 23.58832 (96*2π)/108311 weeks
97.15865 30.42019 (97*2π)/108311 weeks
98-16.35575 20.32338 (98*2π)/108311 weeks
99-17.63267 .22308 (99*2π)/108311 weeks
100-.10808 -9.60153 (100*2π)/108311 weeks
10114.20626 4.0078 (101*2π)/108311 weeks
1023.3155 18.99718 (102*2π)/108311 weeks
103-9.13863 10.80707 (103*2π)/108311 weeks
104-5.27845 3.12025 (104*2π)/108310 weeks
105-3.48787 2.6379 (105*2π)/108310 weeks
106-.50762 -.87729 (106*2π)/108310 weeks
1077.40081 4.01367 (107*2π)/108310 weeks
108-.52205 15.68034 (108*2π)/108310 weeks
109-16.81955 6.57771 (109*2π)/108310 weeks
110-11.80843 -14.42492 (110*2π)/108310 weeks
1118.52567 -18.43598 (111*2π)/108310 weeks
11222.25452 -6.29076 (112*2π)/108310 weeks
11322.34416 11.10441 (113*2π)/108310 weeks
1148.89578 20.92208 (114*2π)/108310 weeks
115-4.91683 15.07265 (115*2π)/10839 weeks
116-4.85826 1.08523 (116*2π)/10839 weeks
1178.3384 -1.01042 (117*2π)/10839 weeks
11812.3703 10.60692 (118*2π)/10839 weeks
1194.15436 19.27658 (119*2π)/10839 weeks
120-8.34283 16.55003 (120*2π)/10839 weeks
121-13.80821 5.48411 (121*2π)/10839 weeks
122-7.99414 -8.14982 (122*2π)/10839 weeks
1239.55304 -7.34331 (123*2π)/10839 weeks
12412.50116 9.84283 (124*2π)/10839 weeks
125-2.85977 16.88824 (125*2π)/10839 weeks
126-16.45277 3.53881 (126*2π)/10839 weeks
127-6.17159 -17.2795 (127*2π)/10839 weeks
12817.18809 -12.87731 (128*2π)/10838 weeks
12922.13835 6.14797 (129*2π)/10838 weeks
13010.88032 19.71679 (130*2π)/10838 weeks
131-6.70012 16.62236 (131*2π)/10838 weeks
132-9.7515 -.38218 (132*2π)/10838 weeks
1332.97012 -6.84106 (133*2π)/10838 weeks
13411.69006 -.40178 (134*2π)/10838 weeks
13510.9044 9.86356 (135*2π)/10838 weeks
1361.47095 12.48553 (136*2π)/10838 weeks
137-2.98716 6.30821 (137*2π)/10838 weeks
138-1.69774 1.28051 (138*2π)/10838 weeks
1392.84719 -2.22699 (139*2π)/10838 weeks
14010.41957 .62288 (140*2π)/10838 weeks
14110.3154 10.71465 (141*2π)/10838 weeks
142-.11794 14.30487 (142*2π)/10838 weeks
143-8.38036 5.51079 (143*2π)/10838 weeks
144-3.29487 -6.63876 (144*2π)/10838 weeks
14510.66741 -7.63616 (145*2π)/10837 weeks
14618.22645 5.11993 (146*2π)/10837 weeks
14710.06507 16.93814 (147*2π)/10837 weeks
148-2.83127 13.99581 (148*2π)/10837 weeks
149-2.30686 2.85922 (149*2π)/10837 weeks
1505.98237 3.35982 (150*2π)/10837 weeks
1516.57241 9.58944 (151*2π)/10837 weeks
152.85747 14.1712 (152*2π)/10837 weeks
153-8.0443 9.95593 (153*2π)/10837 weeks
154-8.326 -1.55763 (154*2π)/10837 weeks
1552.99085 -7.58028 (155*2π)/10837 weeks
15613.88477 .0293 (156*2π)/10837 weeks
15712.22375 14.52482 (157*2π)/10837 weeks
158-3.38089 18.66418 (158*2π)/10837 weeks
159-12.75777 5.96451 (159*2π)/10837 weeks
160-6.03324 -7.46968 (160*2π)/10837 weeks
1619.51786 -8.33131 (161*2π)/10837 weeks
16216.96371 7.06657 (162*2π)/10837 weeks
1634.22105 17.58858 (163*2π)/10837 weeks
164-5.24087 9.61737 (164*2π)/10837 weeks
165-2.7688 3.43691 (165*2π)/10837 weeks
166.70771 1.50101 (166*2π)/10837 weeks
1675.67475 5.00614 (167*2π)/10836 weeks
168.70621 11.02067 (168*2π)/10836 weeks
169-4.87752 7.08704 (169*2π)/10836 weeks
170-5.14434 2.26469 (170*2π)/10836 weeks
171-2.35889 -2.07943 (171*2π)/10836 weeks
1723.87348 -3.36012 (172*2π)/10836 weeks
1738.89837 2.6401 (173*2π)/10836 weeks
1745.14771 8.13549 (174*2π)/10836 weeks
1753.24928 7.45708 (175*2π)/10836 weeks
176.9507 11.55319 (176*2π)/10836 weeks
177-7.41853 7.76432 (177*2π)/10836 weeks
178-4.45661 -1.88142 (178*2π)/10836 weeks
1795.26372 -.72141 (179*2π)/10836 weeks
1806.47734 9.39717 (180*2π)/10836 weeks
181-4.2375 15.11923 (181*2π)/10836 weeks
182-16.24467 5.38663 (182*2π)/10836 weeks
183-10.65366 -11.5741 (183*2π)/10836 weeks
1846.85756 -11.80109 (184*2π)/10836 weeks
18511.99662 1.69444 (185*2π)/10836 weeks
1864.18084 9.73019 (186*2π)/10836 weeks
187-5.56168 6.66925 (187*2π)/10836 weeks
188-5.74952 -3.69478 (188*2π)/10836 weeks
1893.0947 -6.77089 (189*2π)/10836 weeks
1909.36 -1.07312 (190*2π)/10836 weeks
1916.20973 7.28339 (191*2π)/10836 weeks
192-2.47967 5.59174 (192*2π)/10836 weeks
193-2.12301 -3.15985 (193*2π)/10836 weeks
1947.09373 -5.38044 (194*2π)/10836 weeks
19513.58095 3.8087 (195*2π)/10836 weeks
1966.66139 14.52198 (196*2π)/10836 weeks
197-6.46184 12.3743 (197*2π)/10835 weeks
198-9.52713 .1855 (198*2π)/10835 weeks
199-1.06549 -6.1769 (199*2π)/10835 weeks
2005.1555 -1.76321 (200*2π)/10835 weeks
2013.27037 .94983 (201*2π)/10835 weeks
2024.99523 -.11217 (202*2π)/10835 weeks
2036.67616 4.50576 (203*2π)/10835 weeks
2041.31975 7.06155 (204*2π)/10835 weeks
205-1.80897 3.20022 (205*2π)/10835 weeks
206.54196 -.54805 (206*2π)/10835 weeks
2074.58013 2.06297 (207*2π)/10835 weeks
208.63745 6.33783 (208*2π)/10835 weeks
209-4.62233 2.32807 (209*2π)/10835 weeks
210-3.15268 -3.81942 (210*2π)/10835 weeks
2111.46508 -6.90501 (211*2π)/10835 weeks
2127.88506 -6.69422 (212*2π)/10835 weeks
21313.05262 -1.2816 (213*2π)/10835 weeks
21412.5508 7.39034 (214*2π)/10835 weeks
2153.73858 12.40424 (215*2π)/10835 weeks
216-4.93315 5.9167 (216*2π)/10835 weeks
217-1.05813 -4.41887 (217*2π)/10835 weeks
2188.98062 -3.24192 (218*2π)/10835 weeks
21911.5986 5.76181 (219*2π)/10835 weeks
2204.25771 11.91205 (220*2π)/10835 weeks
221-3.78873 7.74554 (221*2π)/10835 weeks
222-3.48332 -1.14723 (222*2π)/10835 weeks
2235.01784 -4.11251 (223*2π)/10835 weeks
22411.36991 2.47777 (224*2π)/10835 weeks
2258.15057 12.64285 (225*2π)/10835 weeks
226-4.89874 14.31408 (226*2π)/10835 weeks
227-12.71268 1.13104 (227*2π)/10835 weeks
228-2.19126 -12.70767 (228*2π)/10835 weeks
22915.07792 -6.96371 (229*2π)/10835 weeks
23014.99767 10.02613 (230*2π)/10835 weeks
2311.4488 14.51552 (231*2π)/10835 weeks
232-5.42809 5.68758 (232*2π)/10835 weeks
233.0635 -1.52979 (233*2π)/10835 weeks
2346.23357 2.92036 (234*2π)/10835 weeks
2352.67584 7.93211 (235*2π)/10835 weeks
236-2.10657 6.58452 (236*2π)/10835 weeks
237-3.11395 1.92946 (237*2π)/10835 weeks
238.38874 .2326 (238*2π)/10835 weeks
239.57211 1.79657 (239*2π)/10835 weeks
240-.09892 -.31629 (240*2π)/10835 weeks
2414.3636 -1.84983 (241*2π)/10834 weeks
2427.05099 4.27467 (242*2π)/10834 weeks
243.76599 7.31396 (243*2π)/10834 weeks
244-2.1189 2.42546 (244*2π)/10834 weeks
245.21654 -.69097 (245*2π)/10834 weeks
2464.03709 -1.00806 (246*2π)/10834 weeks
2476.63302 3.08452 (247*2π)/10834 weeks
2483.95567 8.35753 (248*2π)/10834 weeks
249-4.85891 7.99476 (249*2π)/10834 weeks
250-7.36152 -3.38518 (250*2π)/10834 weeks
2513.9663 -9.72282 (251*2π)/10834 weeks
25215.16624 -1.27926 (252*2π)/10834 weeks
25310.62476 14.35071 (253*2π)/10834 weeks
254-6.53629 13.59966 (254*2π)/10834 weeks
255-9.29987 -2.42686 (255*2π)/10834 weeks
2564.06478 -8.06504 (256*2π)/10834 weeks
25712.61601 1.49493 (257*2π)/10834 weeks
2587.86815 12.44246 (258*2π)/10834 weeks
259-3.19117 14.34405 (259*2π)/10834 weeks
260-11.92649 5.8652 (260*2π)/10834 weeks
261-8.31304 -6.14151 (261*2π)/10834 weeks
2622.12762 -8.66522 (262*2π)/10834 weeks
2639.67517 -2.25927 (263*2π)/10834 weeks
2647.39193 7.67678 (264*2π)/10834 weeks
265-2.57512 9.0068 (265*2π)/10834 weeks
266-7.14788 .02825 (266*2π)/10834 weeks
267.03059 -6.8341 (267*2π)/10834 weeks
2688.07258 -2.18804 (268*2π)/10834 weeks
2695.77447 6.08806 (269*2π)/10834 weeks
270-1.64918 5.83598 (270*2π)/10834 weeks
271-3.97637 -.41974 (271*2π)/10834 weeks
272.70236 -4.51961 (272*2π)/10834 weeks
2734.54093 -2.97669 (273*2π)/10834 weeks
2746.75092 -1.24171 (274*2π)/10834 weeks
2757.63849 3.13276 (275*2π)/10834 weeks
2763.63294 5.50179 (276*2π)/10834 weeks
2771.32967 2.98347 (277*2π)/10834 weeks
2782.83283 1.15361 (278*2π)/10834 weeks
2795.25937 2.43084 (279*2π)/10834 weeks
2804.56239 6.05563 (280*2π)/10834 weeks
2811.0219 7.35022 (281*2π)/10834 weeks
282-2.68248 5.56019 (282*2π)/10834 weeks
283-3.10679 1.91843 (283*2π)/10834 weeks
284-2.98051 .11767 (284*2π)/10834 weeks
285-1.56316 -4.40849 (285*2π)/10834 weeks
2866.36259 -4.892 (286*2π)/10834 weeks
2878.83664 4.03495 (287*2π)/10834 weeks
2881.136 8.26831 (288*2π)/10834 weeks
289-5.06447 3.13122 (289*2π)/10834 weeks
290-3.62437 -5.11904 (290*2π)/10834 weeks
2916.10055 -8.45184 (291*2π)/10834 weeks
29214.31256 1.22839 (292*2π)/10834 weeks
2936.43535 12.94339 (293*2π)/10834 weeks
294-6.46047 8.47653 (294*2π)/10834 weeks
295-6.70199 -3.78484 (295*2π)/10834 weeks
2964.27078 -8.6788 (296*2π)/10834 weeks
29712.93868 -.4187 (297*2π)/10834 weeks
2988.62775 11.35501 (298*2π)/10834 weeks
299-4.7147 11.28187 (299*2π)/10834 weeks
300-9.09903 -.76685 (300*2π)/10834 weeks
301-.2377 -9.85528 (301*2π)/10834 weeks
30211.859 -4.79903 (302*2π)/10834 weeks
30311.36573 7.27983 (303*2π)/10834 weeks
3041.36134 11.79352 (304*2π)/10834 weeks
305-7.1791 4.871 (305*2π)/10834 weeks
306-4.0377 -6.19858 (306*2π)/10834 weeks
3077.8593 -6.88969 (307*2π)/10834 weeks
30812.00385 3.83547 (308*2π)/10834 weeks
3094.18737 10.23072 (309*2π)/10834 weeks
310-2.25153 6.26071 (310*2π)/10833 weeks
311-2.20745 1.55739 (311*2π)/10833 weeks
312.30351 -1.08228 (312*2π)/10833 weeks
3134.01843 -.4369 (313*2π)/10833 weeks
3144.41582 2.67319 (314*2π)/10833 weeks
3153.55361 3.77891 (315*2π)/10833 weeks
3161.79882 5.91824 (316*2π)/10833 weeks
317-2.62507 3.80802 (317*2π)/10833 weeks
318-.20624 -1.15188 (318*2π)/10833 weeks
3193.42909 1.46774 (319*2π)/10833 weeks
3201.13555 3.28724 (320*2π)/10833 weeks
321.71333 2.21456 (321*2π)/10833 weeks
322-.69735 3.33554 (322*2π)/10833 weeks
323-3.71912 -.81868 (323*2π)/10833 weeks
3241.30007 -6.01484 (324*2π)/10833 weeks
3258.25645 -2.75067 (325*2π)/10833 weeks
3268.06805 3.98339 (326*2π)/10833 weeks
3273.45312 6.94569 (327*2π)/10833 weeks
328-1.61649 4.04606 (328*2π)/10833 weeks
3291.25036 -1.51908 (329*2π)/10833 weeks
3306.86319 1.72862 (330*2π)/10833 weeks
3314.64318 8.13624 (331*2π)/10833 weeks
332-2.72065 8.3694 (332*2π)/10833 weeks
333-6.0255 1.35154 (333*2π)/10833 weeks
334-.13919 -4.38168 (334*2π)/10833 weeks
3356.52901 .19679 (335*2π)/10833 weeks
3363.8468 6.91987 (336*2π)/10833 weeks
337-2.5836 7.59794 (337*2π)/10833 weeks
338-7.24864 2.41588 (338*2π)/10833 weeks
339-5.17213 -5.28359 (339*2π)/10833 weeks
3403.18079 -6.94269 (340*2π)/10833 weeks
3417.17694 -.56771 (341*2π)/10833 weeks
3424.34005 3.71429 (342*2π)/10833 weeks
3431.0138 4.45704 (343*2π)/10833 weeks
344-2.73681 2.16067 (344*2π)/10833 weeks
345-.61859 -3.28817 (345*2π)/10833 weeks
3464.55464 -1.49175 (346*2π)/10833 weeks
3473.99595 2.79581 (347*2π)/10833 weeks
348.09825 3.44652 (348*2π)/10833 weeks
349-.91665 -.05414 (349*2π)/10833 weeks
3501.59183 -.77578 (350*2π)/10833 weeks
3511.82367 .24727 (351*2π)/10833 weeks
3521.84418 .17211 (352*2π)/10833 weeks
3531.82729 .11411 (353*2π)/10833 weeks
3542.92502 -.20356 (354*2π)/10833 weeks
3553.36554 1.95441 (355*2π)/10833 weeks
3561.20813 2.39536 (356*2π)/10833 weeks
357.53534 1.09199 (357*2π)/10833 weeks
358.68063 -.10129 (358*2π)/10833 weeks
3592.6025 -1.04581 (359*2π)/10833 weeks
3604.62106 2.00453 (360*2π)/10833 weeks
361.30919 4.96575 (361*2π)/10833 weeks
362-3.77606 .4589 (362*2π)/10833 weeks
363-.2311 -4.9005 (363*2π)/10833 weeks
3645.44207 -3.05296 (364*2π)/10833 weeks
3655.64199 1.20947 (365*2π)/10833 weeks
3663.39311 3.50333 (366*2π)/10833 weeks
367-.21507 2.48048 (367*2π)/10833 weeks
368.40421 -1.73481 (368*2π)/10833 weeks
3695.00175 -.8871 (369*2π)/10833 weeks
3704.00525 3.95228 (370*2π)/10833 weeks
371-.60539 3.57869 (371*2π)/10833 weeks
372-1.78051 -.28374 (372*2π)/10833 weeks
373.47179 -3.25294 (373*2π)/10833 weeks
3744.92234 -3.33687 (374*2π)/10833 weeks
3757.16775 1.6898 (375*2π)/10833 weeks
3763.04884 5.68738 (376*2π)/10833 weeks
377-2.6069 3.43367 (377*2π)/10833 weeks
378-2.13607 -3.15164 (378*2π)/10833 weeks
3793.65591 -4.38896 (379*2π)/10833 weeks
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