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Fourier Analysis of ARDM (Aradigm Corporation)


ARDM (Aradigm Corporation) appears to have interesting cyclic behaviour every 90 weeks (172.3927*sine), 108 weeks (153.3219*cosine), and 98 weeks (146.7588*sine).

ARDM (Aradigm Corporation) has an average price of 668.51 (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 2/21/2017 for ARDM (Aradigm Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0668.5142   0 
1601.2625 911.5258 (1*2π)/10791,079 weeks
2-171.9134 646.8264 (2*2π)/1079540 weeks
3-289.3047 138.1919 (3*2π)/1079360 weeks
4.7029 -87.20789 (4*2π)/1079270 weeks
5186.6798 99.62279 (5*2π)/1079216 weeks
628.72855 254.7206 (6*2π)/1079180 weeks
7-134.4546 151.2202 (7*2π)/1079154 weeks
8-129.1852 -30.57017 (8*2π)/1079135 weeks
931.41062 -103.2022 (9*2π)/1079120 weeks
10153.3219 -11.49652 (10*2π)/1079108 weeks
11133.8799 146.7588 (11*2π)/107998 weeks
12-29.78428 172.3927 (12*2π)/107990 weeks
13-77.35429 42.27124 (13*2π)/107983 weeks
147.06009 -3.69097 (14*2π)/107977 weeks
1533.84318 40.84352 (15*2π)/107972 weeks
1619.16761 53.55146 (16*2π)/107967 weeks
1714.88567 60.8772 (17*2π)/107963 weeks
18-2.29371 66.15691 (18*2π)/107960 weeks
19-17.52867 64.74575 (19*2π)/107957 weeks
20-50.99851 45.39836 (20*2π)/107954 weeks
21-35.31297 -15.01293 (21*2π)/107951 weeks
2228.78171 -8.61279 (22*2π)/107949 weeks
2338.50862 43.77527 (23*2π)/107947 weeks
24.132 80.48416 (24*2π)/107945 weeks
25-67.55588 58.67905 (25*2π)/107943 weeks
26-66.68665 -25.79539 (26*2π)/107942 weeks
276.11503 -43.99659 (27*2π)/107940 weeks
2837.93959 -1.67483 (28*2π)/107939 weeks
2920.87181 43.70755 (29*2π)/107937 weeks
30-44.54515 39.53183 (30*2π)/107936 weeks
31-56.73125 -51.43708 (31*2π)/107935 weeks
3249.10008 -93.05141 (32*2π)/107934 weeks
33129.2497 -6.53001 (33*2π)/107933 weeks
3497.85899 105.0098 (34*2π)/107932 weeks
35-19.3182 136.6671 (35*2π)/107931 weeks
36-91.81066 48.84151 (36*2π)/107930 weeks
37-52.41223 -34.07771 (37*2π)/107929 weeks
3820.0701 -31.58915 (38*2π)/107928 weeks
3933.23615 20.14475 (39*2π)/107928 weeks
402.14544 39.68212 (40*2π)/107927 weeks
41-23.41316 27.90224 (41*2π)/107926 weeks
42-33.31258 -.13022 (42*2π)/107926 weeks
43-17.29432 -32.72003 (43*2π)/107925 weeks
4432.08434 -42.04269 (44*2π)/107925 weeks
4568.00029 10.45826 (45*2π)/107924 weeks
4628.12683 62.51485 (46*2π)/107923 weeks
47-27.63646 43.24352 (47*2π)/107923 weeks
48-27.73254 -6.19874 (48*2π)/107922 weeks
499.00179 -21.81407 (49*2π)/107922 weeks
5036.16892 -1.85752 (50*2π)/107922 weeks
5134.60012 34.53887 (51*2π)/107921 weeks
52-2.05239 47.0374 (52*2π)/107921 weeks
53-24.18282 25.73363 (53*2π)/107920 weeks
54-27.14648 -.31836 (54*2π)/107920 weeks
55-5.59202 -26.23077 (55*2π)/107920 weeks
5635.01992 -16.00573 (56*2π)/107919 weeks
5737.11882 28.64073 (57*2π)/107919 weeks
58-2.85693 43.11565 (58*2π)/107919 weeks
59-29.19165 11.75338 (59*2π)/107918 weeks
60-10.88558 -25.15335 (60*2π)/107918 weeks
6134.47695 -24.92138 (61*2π)/107918 weeks
6254.96564 21.50115 (62*2π)/107917 weeks
6318.12634 60.72552 (63*2π)/107917 weeks
64-31.57318 42.83556 (64*2π)/107917 weeks
65-36.84261 -5.07187 (65*2π)/107917 weeks
66.25244 -32.58939 (66*2π)/107916 weeks
6743.97486 -10.12253 (67*2π)/107916 weeks
6837.44135 42.40248 (68*2π)/107916 weeks
69-16.57013 50.73425 (69*2π)/107916 weeks
70-37.33913 2.9632 (70*2π)/107915 weeks
71-1.73879 -26.12739 (71*2π)/107915 weeks
7230.65932 -5.35591 (72*2π)/107915 weeks
7323.9724 26.40877 (73*2π)/107915 weeks
74-4.02696 30.88493 (74*2π)/107915 weeks
75-16.81839 9.36112 (75*2π)/107914 weeks
76-3.98305 -9.55203 (76*2π)/107914 weeks
7717.61532 -7.09172 (77*2π)/107914 weeks
7825.12442 11.91542 (78*2π)/107914 weeks
7915.8719 26.12049 (79*2π)/107914 weeks
80-.87469 31.73207 (80*2π)/107913 weeks
81-18.92187 16.18724 (81*2π)/107913 weeks
82-7.33497 -7.105 (82*2π)/107913 weeks
8315.15316 -1.40124 (83*2π)/107913 weeks
8417.204 17.97599 (84*2π)/107913 weeks
851.73721 29.16428 (85*2π)/107913 weeks
86-18.50847 20.56701 (86*2π)/107913 weeks
87-19.87546 -5.07384 (87*2π)/107912 weeks
884.62958 -17.96668 (88*2π)/107912 weeks
8927.85478 -1.07413 (89*2π)/107912 weeks
9023.40259 29.17321 (90*2π)/107912 weeks
91-9.44494 38.06731 (91*2π)/107912 weeks
92-28.95749 10.07964 (92*2π)/107912 weeks
93-13.21593 -15.89166 (93*2π)/107912 weeks
9414.24011 -15.92324 (94*2π)/107911 weeks
9528.08344 7.44365 (95*2π)/107911 weeks
9614.0436 28.75945 (96*2π)/107911 weeks
97-6.70221 28.49138 (97*2π)/107911 weeks
98-19.417 13.47236 (98*2π)/107911 weeks
99-12.73285 -5.77498 (99*2π)/107911 weeks
1007.36946 -7.0548 (100*2π)/107911 weeks
10113.00113 11.69805 (101*2π)/107911 weeks
102-3.45579 18.09396 (102*2π)/107911 weeks
103-8.70925 6.39005 (103*2π)/107910 weeks
104-3.87374 3.03216 (104*2π)/107910 weeks
105-3.21221 1.39562 (105*2π)/107910 weeks
1062.85174 -.89509 (106*2π)/107910 weeks
1077.01374 9.5576 (107*2π)/107910 weeks
108-8.08976 15.21988 (108*2π)/107910 weeks
109-18.1941 -2.3445 (109*2π)/107910 weeks
110-3.70048 -18.79688 (110*2π)/107910 weeks
11115.67296 -14.80216 (111*2π)/107910 weeks
11224.26165 .85073 (112*2π)/107910 weeks
11317.90034 17.00453 (113*2π)/107910 weeks
1142.13939 20.30365 (114*2π)/10799 weeks
115-7.21594 9.18427 (115*2π)/10799 weeks
116.44532 -2.35305 (116*2π)/10799 weeks
11712.09018 3.53753 (117*2π)/10799 weeks
1189.97336 15.28381 (118*2π)/10799 weeks
119-1.75023 19.77097 (119*2π)/10799 weeks
120-11.88271 12.1732 (120*2π)/10799 weeks
121-13.30436 -.78757 (121*2π)/10799 weeks
122-.1887 -10.8561 (122*2π)/10799 weeks
12313.98153 .06037 (123*2π)/10799 weeks
1246.60046 15.5488 (124*2π)/10799 weeks
125-10.80921 13.23671 (125*2π)/10799 weeks
126-15.49815 -7.4155 (126*2π)/10799 weeks
1275.94955 -19.10026 (127*2π)/10798 weeks
12822.08575 -3.92184 (128*2π)/10798 weeks
12918.44487 14.06647 (129*2π)/10798 weeks
1302.0242 20.9312 (130*2π)/10798 weeks
131-11.13511 8.76313 (131*2π)/10798 weeks
132-4.04016 -5.82608 (132*2π)/10798 weeks
1338.35343 -4.52586 (133*2π)/10798 weeks
13412.87535 4.70369 (134*2π)/10798 weeks
1356.40563 12.81511 (135*2π)/10798 weeks
136-1.98844 9.7449 (136*2π)/10798 weeks
137-2.65947 3.59141 (137*2π)/10798 weeks
138.08292 -.77173 (138*2π)/10798 weeks
1396.9126 -2.01339 (139*2π)/10798 weeks
14012.08051 5.7095 (140*2π)/10798 weeks
1415.46021 14.21878 (141*2π)/10798 weeks
142-5.66047 11.11212 (142*2π)/10798 weeks
143-7.47718 -1.56438 (143*2π)/10798 weeks
1443.97741 -9.09338 (144*2π)/10797 weeks
14516.70998 -1.91156 (145*2π)/10797 weeks
14615.52125 12.87268 (146*2π)/10797 weeks
1472.40373 17.45653 (147*2π)/10797 weeks
148-4.72254 7.3648 (148*2π)/10797 weeks
1492.85068 1.42768 (149*2π)/10797 weeks
1507.15786 6.96797 (150*2π)/10797 weeks
1514.31417 12.73367 (151*2π)/10797 weeks
152-4.56875 13.23598 (152*2π)/10797 weeks
153-9.78666 3.63076 (153*2π)/10797 weeks
154-2.77401 -6.63603 (154*2π)/10797 weeks
15510.29848 -4.67879 (155*2π)/10797 weeks
15615.07513 8.41049 (156*2π)/10797 weeks
1573.7747 19.4701 (157*2π)/10797 weeks
158-10.81426 12.4372 (158*2π)/10797 weeks
159-10.47192 -2.96197 (159*2π)/10797 weeks
1602.94884 -10.14063 (160*2π)/10797 weeks
16116.47814 -.42711 (161*2π)/10797 weeks
16210.80884 15.91898 (162*2π)/10797 weeks
163-3.54801 13.78832 (163*2π)/10797 weeks
164-4.20318 4.9436 (164*2π)/10797 weeks
165-.86195 2.14924 (165*2π)/10797 weeks
1664.2576 2.44523 (166*2π)/10797 weeks
1673.85328 9.85543 (167*2π)/10796 weeks
168-3.71382 9.1486 (168*2π)/10796 weeks
169-5.36346 3.99634 (169*2π)/10796 weeks
170-3.8618 -.65901 (170*2π)/10796 weeks
1711.24015 -3.53532 (171*2π)/10796 weeks
1728.02121 -.32063 (172*2π)/10796 weeks
1737.11602 7.15568 (173*2π)/10796 weeks
1743.0627 7.5783 (174*2π)/10796 weeks
1752.97698 9.9678 (175*2π)/10796 weeks
176-5.10606 10.72467 (176*2π)/10796 weeks
177-7.05438 .7797 (177*2π)/10796 weeks
1782.26252 -2.66163 (178*2π)/10796 weeks
1797.54172 5.82378 (179*2π)/10796 weeks
180.31027 14.58465 (180*2π)/10796 weeks
181-13.52658 10.46354 (181*2π)/10796 weeks
182-14.92609 -6.902 (182*2π)/10796 weeks
1831.64773 -14.21402 (183*2π)/10796 weeks
18412.31483 -2.70369 (184*2π)/10796 weeks
1857.31651 8.37623 (185*2π)/10796 weeks
186-3.00464 8.91283 (186*2π)/10796 weeks
187-7.22609 -.64198 (187*2π)/10796 weeks
188.32057 -7.00827 (188*2π)/10796 weeks
1898.16237 -3.46909 (189*2π)/10796 weeks
1908.37928 5.386 (190*2π)/10796 weeks
191-.37555 7.43317 (191*2π)/10796 weeks
192-3.48694 -.78 (192*2π)/10796 weeks
1934.18281 -5.92582 (193*2π)/10796 weeks
19412.93904 .31676 (194*2π)/10796 weeks
1959.88749 12.46636 (195*2π)/10796 weeks
196-3.29528 14.55197 (196*2π)/10796 weeks
197-10.22406 3.55983 (197*2π)/10795 weeks
198-3.76416 -5.6995 (198*2π)/10795 weeks
1994.52894 -3.44467 (199*2π)/10795 weeks
2003.88197 1.05406 (200*2π)/10795 weeks
2014.05783 -.24534 (201*2π)/10795 weeks
2026.96965 2.98533 (202*2π)/10795 weeks
2032.85909 7.28923 (203*2π)/10795 weeks
204-1.55885 4.36726 (204*2π)/10795 weeks
205-.491 .01636 (205*2π)/10795 weeks
2064.13476 .77577 (206*2π)/10795 weeks
2072.21519 6.01923 (207*2π)/10795 weeks
208-3.95803 3.82826 (208*2π)/10795 weeks
209-3.94751 -2.72258 (209*2π)/10795 weeks
210.29808 -6.45278 (210*2π)/10795 weeks
2116.44078 -7.20324 (211*2π)/10795 weeks
21212.33467 -2.82972 (212*2π)/10795 weeks
21313.40043 5.53755 (213*2π)/10795 weeks
2146.06253 12.25674 (214*2π)/10795 weeks
215-3.91912 8.0869 (215*2π)/10795 weeks
216-2.93449 -3.00447 (216*2π)/10795 weeks
2177.39979 -4.40843 (217*2π)/10795 weeks
21811.9575 3.90615 (218*2π)/10795 weeks
2196.15878 11.58091 (219*2π)/10795 weeks
220-2.77292 9.14286 (220*2π)/10795 weeks
221-4.34679 .35264 (221*2π)/10795 weeks
2223.37998 -4.39791 (222*2π)/10795 weeks
22310.83886 .85369 (223*2π)/10795 weeks
2249.5963 11.14798 (224*2π)/10795 weeks
225-2.57215 15.21551 (225*2π)/10795 weeks
226-12.5738 3.92282 (226*2π)/10795 weeks
227-4.99839 -11.53581 (227*2π)/10795 weeks
22813.19096 -9.26091 (228*2π)/10795 weeks
22916.4206 7.84217 (229*2π)/10795 weeks
2303.42385 15.02277 (230*2π)/10795 weeks
231-5.28737 7.24394 (231*2π)/10795 weeks
232-1.20325 -1.18369 (232*2π)/10795 weeks
2336.02948 1.88602 (233*2π)/10795 weeks
2343.42095 7.71842 (234*2π)/10795 weeks
235-1.62859 7.03447 (235*2π)/10795 weeks
236-3.32652 2.52806 (236*2π)/10795 weeks
237-.00714 .0841 (237*2π)/10795 weeks
238.75641 1.76842 (238*2π)/10795 weeks
239-.23753 .07541 (239*2π)/10795 weeks
2403.70006 -2.04326 (240*2π)/10794 weeks
2417.30043 3.47129 (241*2π)/10794 weeks
2421.50034 7.5305 (242*2π)/10794 weeks
243-2.19738 2.92622 (243*2π)/10794 weeks
244-.08052 -.52109 (244*2π)/10794 weeks
2453.64708 -1.15205 (245*2π)/10794 weeks
2466.62585 2.62506 (246*2π)/10794 weeks
2474.45501 7.99517 (247*2π)/10794 weeks
248-4.13778 8.53366 (248*2π)/10794 weeks
249-7.77959 -2.43441 (249*2π)/10794 weeks
2502.94789 -9.799 (250*2π)/10794 weeks
25114.77227 -2.30029 (251*2π)/10794 weeks
25211.60742 13.6355 (252*2π)/10794 weeks
253-5.67998 14.37594 (253*2π)/10794 weeks
254-9.79285 -1.56066 (254*2π)/10794 weeks
2553.30571 -8.27193 (255*2π)/10794 weeks
25612.54581 .84308 (256*2π)/10794 weeks
2578.34775 12.15188 (257*2π)/10794 weeks
258-2.70381 14.52699 (258*2π)/10794 weeks
259-11.80987 6.40584 (259*2π)/10794 weeks
260-8.67848 -5.86524 (260*2π)/10794 weeks
2611.80757 -8.76958 (261*2π)/10794 weeks
2629.59841 -2.5496 (262*2π)/10794 weeks
2637.61909 7.51897 (263*2π)/10794 weeks
264-2.38032 9.14136 (264*2π)/10794 weeks
265-7.20365 .21781 (265*2π)/10794 weeks
266-.11295 -6.84222 (266*2π)/10794 weeks
2678.06404 -2.28667 (267*2π)/10794 weeks
2685.84317 6.07802 (268*2π)/10794 weeks
269-1.63955 5.86955 (269*2π)/10794 weeks
270-3.98981 -.42805 (270*2π)/10794 weeks
271.73153 -4.5385 (271*2π)/10794 weeks
2724.57434 -2.97287 (272*2π)/10794 weeks
2736.80664 -1.21462 (273*2π)/10794 weeks
2747.63291 3.22101 (274*2π)/10794 weeks
2753.55854 5.50664 (275*2π)/10794 weeks
2761.33676 2.92705 (276*2π)/10794 weeks
2772.90861 1.1453 (277*2π)/10794 weeks
2785.32516 2.53772 (278*2π)/10794 weeks
2794.47673 6.17541 (279*2π)/10794 weeks
280.87593 7.3742 (280*2π)/10794 weeks
281-2.80249 5.4271 (281*2π)/10794 weeks
282-3.07096 1.82341 (282*2π)/10794 weeks
283-3.02608 -.02278 (283*2π)/10794 weeks
284-1.28952 -4.67528 (284*2π)/10794 weeks
2856.83436 -4.58009 (285*2π)/10794 weeks
2868.59845 4.58809 (286*2π)/10794 weeks
287.58349 8.20258 (287*2π)/10794 weeks
288-5.25381 2.60455 (288*2π)/10794 weeks
289-3.1957 -5.66175 (289*2π)/10794 weeks
2907.01831 -8.2312 (290*2π)/10794 weeks
29114.39857 2.40736 (291*2π)/10794 weeks
2925.23827 13.3177 (292*2π)/10794 weeks
293-7.08126 7.49798 (293*2π)/10794 weeks
294-6.07424 -4.74068 (294*2π)/10794 weeks
2955.44406 -8.42921 (295*2π)/10794 weeks
29613.21312 .81467 (296*2π)/10794 weeks
2977.46727 12.16742 (297*2π)/10794 weeks
298-5.85502 10.3625 (298*2π)/10794 weeks
299-8.74392 -2.14237 (299*2π)/10794 weeks
3001.30947 -10.14086 (300*2π)/10794 weeks
30112.62111 -3.40383 (301*2π)/10794 weeks
30210.51472 8.40493 (302*2π)/10794 weeks
303-.02323 11.58094 (303*2π)/10794 weeks
304-7.57416 3.42662 (304*2π)/10794 weeks
305-2.68447 -7.1698 (305*2π)/10794 weeks
3069.24254 -5.87042 (306*2π)/10794 weeks
30711.4869 5.34774 (307*2π)/10794 weeks
3082.856 10.17715 (308*2π)/10794 weeks
309-2.53433 5.45035 (309*2π)/10793 weeks
310-1.96939 1.04557 (310*2π)/10793 weeks
311.86018 -1.27192 (311*2π)/10793 weeks
3124.41226 .0615 (312*2π)/10793 weeks
3134.21601 2.97089 (313*2π)/10793 weeks
3143.52972 4.05689 (314*2π)/10793 weeks
3151.06301 6.10408 (315*2π)/10793 weeks
316-2.89612 2.77403 (316*2π)/10793 weeks
317.80704 -1.24253 (317*2π)/10793 weeks
3183.28442 2.20089 (318*2π)/10793 weeks
319.77865 3.08773 (319*2π)/10793 weeks
320.82624 2.3518 (320*2π)/10793 weeks
321-1.49917 3.1609 (321*2π)/10793 weeks
322-3.44502 -2.21569 (322*2π)/10793 weeks
3232.91892 -6.12316 (323*2π)/10793 weeks
3248.8907 -1.31577 (324*2π)/10793 weeks
3257.3354 4.96212 (325*2π)/10793 weeks
3262.25312 6.99154 (326*2π)/10793 weeks
327-1.87817 2.62294 (327*2π)/10793 weeks
3282.80234 -1.67093 (328*2π)/10793 weeks
3297.13436 3.26975 (329*2π)/10793 weeks
3303.16611 8.98101 (330*2π)/10793 weeks
331-4.1505 7.2495 (331*2π)/10793 weeks
332-5.4903 -.55482 (332*2π)/10793 weeks
3331.96234 -4.2507 (333*2π)/10793 weeks
3346.74272 2.16546 (334*2π)/10793 weeks
3352.38188 7.66536 (335*2π)/10793 weeks
336-4.10686 6.84884 (336*2π)/10793 weeks
337-7.55146 .46244 (337*2π)/10793 weeks
338-3.37087 -6.65742 (338*2π)/10793 weeks
3395.0788 -5.76009 (339*2π)/10793 weeks
3406.80328 1.05741 (340*2π)/10793 weeks
3413.43314 4.1031 (341*2π)/10793 weeks
342.00909 4.35629 (342*2π)/10793 weeks
343-3.12539 .54809 (343*2π)/10793 weeks
3441.13363 -3.63405 (344*2π)/10793 weeks
3454.97588 -.15693 (345*2π)/10793 weeks
3463.06087 3.52845 (346*2π)/10793 weeks
347-.77776 2.62317 (347*2π)/10793 weeks
348-.22533 -.78802 (348*2π)/10793 weeks
3491.91459 -.37418 (349*2π)/10793 weeks
3501.73171 .24496 (350*2π)/10793 weeks
3511.89033 .22608 (351*2π)/10793 weeks
3521.94506 -.0947 (352*2π)/10793 weeks
3533.44906 .24256 (353*2π)/10793 weeks
3542.74313 2.47368 (354*2π)/10793 weeks
355.77078 1.97763 (355*2π)/10793 weeks
356.50571 .76467 (356*2π)/10793 weeks
3571.0061 -.56813 (357*2π)/10793 weeks
3583.61071 -.59976 (358*2π)/10793 weeks
3593.92783 3.6395 (359*2π)/10793 weeks
360-1.66498 4.22115 (360*2π)/10793 weeks
361-3.43697 -1.82846 (361*2π)/10793 weeks
3622.06484 -5.1668 (362*2π)/10793 weeks
3636.08649 -1.36877 (363*2π)/10793 weeks
3645.065 2.18004 (364*2π)/10793 weeks
3652.08152 3.74868 (365*2π)/10793 weeks
366-.79279 1.01923 (366*2π)/10793 weeks
3672.12767 -2.34709 (367*2π)/10793 weeks
3685.61226 1.0026 (368*2π)/10793 weeks
3692.21325 4.57936 (369*2π)/10793 weeks
370-1.56936 2.25293 (370*2π)/10793 weeks
371-1.2405 -1.60737 (371*2π)/10793 weeks
3721.96417 -3.80629 (372*2π)/10793 weeks
3736.53152 -1.87709 (373*2π)/10793 weeks
3746.2004 3.82344 (374*2π)/10793 weeks
375.67157 5.67208 (375*2π)/10793 weeks
376-3.53647 .82283 (376*2π)/10793 weeks
377.09071 -4.58663 (377*2π)/10793 weeks
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