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# Fourier Analysis of ASTI (Ascent Solar Technologies)

ASTI (Ascent Solar Technologies) appears to have interesting cyclic behaviour every 31 weeks (77.067*sine), 29 weeks (68.612*sine), and 39 weeks (67.3208*cosine).

ASTI (Ascent Solar Technologies) has an average price of 586.82 (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 7/25/2006 to 5/21/2018 for ASTI (Ascent Solar Technologies), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0586.8164   0
1381.3841 761.695 (1*2π)/618618 weeks
2-112.0038 525.4741 (2*2π)/618309 weeks
3-201.7402 266.4475 (3*2π)/618206 weeks
4-304.5951 131.9175 (4*2π)/618155 weeks
5-235.9738 -108.172 (5*2π)/618124 weeks
6-62.35878 -191.8382 (6*2π)/618103 weeks
7101.8532 -156.6282 (7*2π)/61888 weeks
8183.3299 36.63865 (8*2π)/61877 weeks
916.54988 115.7597 (9*2π)/61869 weeks
10-25.74139 39.9255 (10*2π)/61862 weeks
11-5.47293 17.30694 (11*2π)/61856 weeks
12-17.36213 27.60513 (12*2π)/61852 weeks
13-18.09721 -1.98206 (13*2π)/61848 weeks
14-30.85814 -1.7923 (14*2π)/61844 weeks
15-1.83376 -65.69415 (15*2π)/61841 weeks
1667.32077 -31.97868 (16*2π)/61839 weeks
1763.00892 17.27256 (17*2π)/61836 weeks
1840.87029 31.54094 (18*2π)/61834 weeks
1948.5135 40.87612 (19*2π)/61833 weeks
2019.67167 77.06695 (20*2π)/61831 weeks
21-23.9677 68.61202 (21*2π)/61829 weeks
22-55.45586 42.53668 (22*2π)/61828 weeks
23-51.08057 -8.79756 (23*2π)/61827 weeks
24-26.3453 -22.78664 (24*2π)/61826 weeks
253.91309 -25.43649 (25*2π)/61825 weeks
262.09654 -6.59247 (26*2π)/61824 weeks
2714.40568 -16.57086 (27*2π)/61823 weeks
2820.59645 9.08679 (28*2π)/61822 weeks
291.42698 16.09517 (29*2π)/61821 weeks
30-17.78923 .60848 (30*2π)/61821 weeks
311.6401 -21.24853 (31*2π)/61820 weeks
3210.27386 -21.79619 (32*2π)/61819 weeks
3339.82664 -14.60412 (33*2π)/61819 weeks
3440.59561 20.98677 (34*2π)/61818 weeks
356.27299 30.81085 (35*2π)/61818 weeks
36-1.37052 14.82786 (36*2π)/61817 weeks
37-3.8552 5.75083 (37*2π)/61817 weeks
38-1.08574 -10.93793 (38*2π)/61816 weeks
3927.90814 -8.15436 (39*2π)/61816 weeks
4030.76611 10.47538 (40*2π)/61815 weeks
4129.30486 33.85155 (41*2π)/61815 weeks
42-2.33625 44.69065 (42*2π)/61815 weeks
43-26.55255 26.46745 (43*2π)/61814 weeks
44-18.68554 -.30158 (44*2π)/61814 weeks
45-14.97304 5.16774 (45*2π)/61814 weeks
46-24.07917 -15.33901 (46*2π)/61813 weeks
472.13478 -34.96703 (47*2π)/61813 weeks
4829.87771 -21.69965 (48*2π)/61813 weeks
4932.76752 1.69236 (49*2π)/61813 weeks
5024.81499 8.34944 (50*2π)/61812 weeks
5126.59322 19.41491 (51*2π)/61812 weeks
5215.71146 26.80433 (52*2π)/61812 weeks
53-1.02133 33.4714 (53*2π)/61812 weeks
54-15.36644 20.57523 (54*2π)/61811 weeks
55-18.17341 -1.15502 (55*2π)/61811 weeks
561.24637 -4.07787 (56*2π)/61811 weeks
57-1.3392 -1.43418 (57*2π)/61811 weeks
587.2918 -5.82863 (58*2π)/61811 weeks
5914.37887 -.12225 (59*2π)/61810 weeks
6014.56985 11.06419 (60*2π)/61810 weeks
616.93404 14.92204 (61*2π)/61810 weeks
623.56272 16.1486 (62*2π)/61810 weeks
63-9.9315 16.25836 (63*2π)/61810 weeks
64-11.50403 1.1782 (64*2π)/61810 weeks
65-7.63194 -7.61067 (65*2π)/61810 weeks
667.91502 -13.26178 (66*2π)/6189 weeks
6719.78382 -.61248 (67*2π)/6189 weeks
6814.19537 14.50452 (68*2π)/6189 weeks
692.82892 15.40625 (69*2π)/6189 weeks
70-2.89305 15.37028 (70*2π)/6189 weeks
71-14.00403 4.80584 (71*2π)/6189 weeks
72-8.20728 -7.76421 (72*2π)/6189 weeks
734.04046 -14.82321 (73*2π)/6188 weeks
7419.37842 -8.74344 (74*2π)/6188 weeks
7522.57562 8.28299 (75*2π)/6188 weeks
7613.52444 21.11566 (76*2π)/6188 weeks
77-1.70355 19.40174 (77*2π)/6188 weeks
78-7.57034 14.84989 (78*2π)/6188 weeks
79-13.79753 5.36177 (79*2π)/6188 weeks
80-12.64466 -3.92626 (80*2π)/6188 weeks
81-3.66457 -19.17964 (81*2π)/6188 weeks
8216.6647 -14.08411 (82*2π)/6188 weeks
8325.35396 2.24302 (83*2π)/6187 weeks
8414.45805 18.3227 (84*2π)/6187 weeks
852.78356 17.14176 (85*2π)/6187 weeks
86-4.84604 16.88499 (86*2π)/6187 weeks
87-16.61465 8.12746 (87*2π)/6187 weeks
88-13.23386 -13.5987 (88*2π)/6187 weeks
897.43594 -15.16626 (89*2π)/6187 weeks
9013.45857 -4.24338 (90*2π)/6187 weeks
9113.55548 -1.35638 (91*2π)/6187 weeks
9215.93325 7.19173 (92*2π)/6187 weeks
9312.40648 14.26895 (93*2π)/6187 weeks
94-.70854 18.66162 (94*2π)/6187 weeks
95-8.97705 12.50923 (95*2π)/6187 weeks
96-15.8079 -2.47356 (96*2π)/6186 weeks
97-.46037 -14.21763 (97*2π)/6186 weeks
9811.48703 -9.29153 (98*2π)/6186 weeks
9915.67133 2.05207 (99*2π)/6186 weeks
10010.18458 8.1005 (100*2π)/6186 weeks
1015.63193 9.11832 (101*2π)/6186 weeks
1021.71607 9.19237 (102*2π)/6186 weeks
103-1.30452 4.58782 (103*2π)/6186 weeks
104-.5876 2.44454 (104*2π)/6186 weeks
1052.78677 -1.14959 (105*2π)/6186 weeks
1066.64404 3.06674 (106*2π)/6186 weeks
107.17271 8.70903 (107*2π)/6186 weeks
108-5.2934 -2.5421 (108*2π)/6186 weeks
1095.58474 -6.19822 (109*2π)/6186 weeks
1107.2451 -1.03686 (110*2π)/6186 weeks
1119.21577 -2.47145 (111*2π)/6186 weeks
11213.94265 3.1633 (112*2π)/6186 weeks
11312.06401 7.26623 (113*2π)/6185 weeks
11410.86106 13.6848 (114*2π)/6185 weeks
1151.35702 18.32446 (115*2π)/6185 weeks
116-8.03591 10.74657 (116*2π)/6185 weeks
117-7.83627 3.81215 (117*2π)/6185 weeks
118-7.00204 -3.40606 (118*2π)/6185 weeks
1193.38611 -9.18081 (119*2π)/6185 weeks
12011.13338 -.66332 (120*2π)/6185 weeks
1217.27728 6.94872 (121*2π)/6185 weeks
122.84771 5.69414 (122*2π)/6185 weeks
1231.72951 -.91634 (123*2π)/6185 weeks
1248.69496 .71723 (124*2π)/6185 weeks
1259.421 8.59889 (125*2π)/6185 weeks
1261.76405 11.28795 (126*2π)/6185 weeks
127-2.50233 10.59451 (127*2π)/6185 weeks
128-10.88994 4.981 (128*2π)/6185 weeks
129-8.53366 -10.6259 (129*2π)/6185 weeks
1308.59812 -12.60914 (130*2π)/6185 weeks
13116.14413 -3.10051 (131*2π)/6185 weeks
13214.89897 7.41921 (132*2π)/6185 weeks
1339.09448 12.10878 (133*2π)/6185 weeks
1342.66883 12.86471 (134*2π)/6185 weeks
1351.09766 11.98686 (135*2π)/6185 weeks
136-9.38721 11.36804 (136*2π)/6185 weeks
137-8.43344 .53479 (137*2π)/6185 weeks
138-6.52731 -4.35013 (138*2π)/6184 weeks
139-.59928 -8.64976 (139*2π)/6184 weeks
1409.79407 -8.86439 (140*2π)/6184 weeks
14114.33648 2.5641 (141*2π)/6184 weeks
1428.80039 9.32538 (142*2π)/6184 weeks
1432.17467 12.54411 (143*2π)/6184 weeks
144-8.18573 6.50853 (144*2π)/6184 weeks
145-4.3017 -3.89271 (145*2π)/6184 weeks
146.8254 -7.27348 (146*2π)/6184 weeks
14710.32898 -5.27291 (147*2π)/6184 weeks
14812.0051 .46389 (148*2π)/6184 weeks
14913.55885 7.59654 (149*2π)/6184 weeks
1507.27211 13.35321 (150*2π)/6184 weeks
151-1.16016 14.65606 (151*2π)/6184 weeks
152-7.90544 6.29339 (152*2π)/6184 weeks
153-4.34813 -1.29374 (153*2π)/6184 weeks
1543.8618 -3.67035 (154*2π)/6184 weeks
1555.89384 5.46278 (155*2π)/6184 weeks
1561.04591 5.04246 (156*2π)/6184 weeks
1571.38065 4.67049 (157*2π)/6184 weeks
158-1.30353 6.70982 (158*2π)/6184 weeks
159-7.41041 3.09006 (159*2π)/6184 weeks
160-4.12558 -6.61875 (160*2π)/6184 weeks
1613.02523 -7.18672 (161*2π)/6184 weeks
1628.2836 -3.33059 (162*2π)/6184 weeks
1637.42749 .33164 (163*2π)/6184 weeks
1648.50222 -.11121 (164*2π)/6184 weeks
16510.57658 5.03742 (165*2π)/6184 weeks
1668.03717 9.28651 (166*2π)/6184 weeks
1672.13639 9.74556 (167*2π)/6184 weeks
1681.61502 8.65103 (168*2π)/6184 weeks
169-2.30867 8.30295 (169*2π)/6184 weeks
170-3.14965 4.44813 (170*2π)/6184 weeks
171-2.45287 3.96386 (171*2π)/6184 weeks
172-4.42479 2.13875 (172*2π)/6184 weeks
173-3.05798 -3.4211 (173*2π)/6184 weeks
1743.41529 -3.56803 (174*2π)/6184 weeks
1757.47253 .57737 (175*2π)/6184 weeks
1765.15224 8.14302 (176*2π)/6184 weeks
177-2.35119 8.61662 (177*2π)/6183 weeks
178-7.38716 4.54446 (178*2π)/6183 weeks
179-8.01514 -3.56032 (179*2π)/6183 weeks
180-2.75904 -9.06521 (180*2π)/6183 weeks
1814.30763 -9.49076 (181*2π)/6183 weeks
18211.08798 -8.1356 (182*2π)/6183 weeks
18316.51198 1.28153 (183*2π)/6183 weeks
18411.41898 11.84087 (184*2π)/6183 weeks
185.55652 10.36199 (185*2π)/6183 weeks
186.8734 6.34742 (186*2π)/6183 weeks
187-.273 7.22729 (187*2π)/6183 weeks
188-5.53851 5.87085 (188*2π)/6183 weeks
189-5.38888 -2.72275 (189*2π)/6183 weeks
1901.7901 -5.69883 (190*2π)/6183 weeks
1918.48784 .84964 (191*2π)/6183 weeks
1923.01906 5.64948 (192*2π)/6183 weeks
193.31198 5.50482 (193*2π)/6183 weeks
194-3.49941 4.24635 (194*2π)/6183 weeks
195-5.38363 -1.52326 (195*2π)/6183 weeks
196-1.07106 -6.40043 (196*2π)/6183 weeks
1974.22982 -6.57693 (197*2π)/6183 weeks
19810.49794 -3.67075 (198*2π)/6183 weeks
19910.93131 5.21423 (199*2π)/6183 weeks
2002.32861 9.77058 (200*2π)/6183 weeks
201-2.96225 3.65186 (201*2π)/6183 weeks
202-1.67551 -3.0595 (202*2π)/6183 weeks
2034.80982 -2.79641 (203*2π)/6183 weeks
2047.48403 -2.07136 (204*2π)/6183 weeks
20510.79363 3.12061 (205*2π)/6183 weeks
2068.46134 10.12506 (206*2π)/6183 weeks
2071.46944 12.2094 (207*2π)/6183 weeks
208-5.31367 9.31312 (208*2π)/6183 weeks
209-7.2059 2.10391 (209*2π)/6183 weeks
210-2.70082 -1.91068 (210*2π)/6183 weeks
211-1.06701 -2.5734 (211*2π)/6183 weeks
2124.06751 -4.15711 (212*2π)/6183 weeks
2138.27103 4.39828 (213*2π)/6183 weeks
214-1.56298 7.94307 (214*2π)/6183 weeks
215-5.78105 .75681 (215*2π)/6183 weeks
216-1.13706 -5.68118 (216*2π)/6183 weeks
2175.28485 -4.46284 (217*2π)/6183 weeks
2188.55973 .07502 (218*2π)/6183 weeks
2196.03251 6.56877 (219*2π)/6183 weeks
220.87932 5.96201 (220*2π)/6183 weeks
221-2.04238 3.70622 (221*2π)/6183 weeks
222-.27957 .25227 (222*2π)/6183 weeks
223-1.14324 1.0798 (223*2π)/6183 weeks
224.85206 -3.87794 (224*2π)/6183 weeks
2255.66602 -2.12763 (225*2π)/6183 weeks
2268.13509 2.63933 (226*2π)/6183 weeks
2274.33495 6.58677 (227*2π)/6183 weeks
228.89846 6.8783 (228*2π)/6183 weeks
229-2.04078 4.70882 (229*2π)/6183 weeks
230-1.40412 3.49613 (230*2π)/6183 weeks
231-5.74206 1.69915 (231*2π)/6183 weeks
232-1.68961 -4.83754 (232*2π)/6183 weeks
2332.67246 -3.22605 (233*2π)/6183 weeks
2344.33389 -.80195 (234*2π)/6183 weeks
2354.91803 .94563 (235*2π)/6183 weeks
2363.09785 5.2237 (236*2π)/6183 weeks
237-2.42272 3.16329 (237*2π)/6183 weeks
238-1.22637 -1.97183 (238*2π)/6183 weeks
2392.62581 -1.89426 (239*2π)/6183 weeks
2403.31394 .09038 (240*2π)/6183 weeks
2412.5815 .62366 (241*2π)/6183 weeks
2422.58347 -.4476 (242*2π)/6183 weeks
2436.98567 -1.02329 (243*2π)/6183 weeks
2447.16447 8.26606 (244*2π)/6183 weeks
245-2.71134 7.75105 (245*2π)/6183 weeks
246-2.44505 .09654 (246*2π)/6183 weeks
2471.77897 2.19344 (247*2π)/6183 weeks
248-2.15839 2.75361 (248*2π)/6182 weeks
249-1.66285 -.96554 (249*2π)/6182 weeks
250.37062 -1.80795 (250*2π)/6182 weeks
2512.95701 -2.24023 (251*2π)/6182 weeks
2525.31044 2.21255 (252*2π)/6182 weeks
253.4027 4.72846 (253*2π)/6182 weeks
254-2.75459 .86733 (254*2π)/6182 weeks
255.42352 -2.26863 (255*2π)/6182 weeks
2561.71742 -.51712 (256*2π)/6182 weeks
2571.14177 -1.40802 (257*2π)/6182 weeks
2584.10551 -2.70862 (258*2π)/6182 weeks
2595.30092 1.28974 (259*2π)/6182 weeks
2604.71991 .77867 (260*2π)/6182 weeks
2617.0235 3.99981 (261*2π)/6182 weeks
2622.82613 9.16769 (262*2π)/6182 weeks
263-3.88215 7.65538 (263*2π)/6182 weeks
264-6.33024 1.56303 (264*2π)/6182 weeks
265-3.67967 -2.81713 (265*2π)/6182 weeks
266-.61421 -4.44699 (266*2π)/6182 weeks
2674.13157 -3.81346 (267*2π)/6182 weeks
2685.72048 -.621 (268*2π)/6182 weeks
2695.79632 3.49885 (269*2π)/6182 weeks
2702.23432 6.01574 (270*2π)/6182 weeks
271-1.62638 5.51214 (271*2π)/6182 weeks
272-4.05196 2.81791 (272*2π)/6182 weeks
273-5.47516 -.95002 (273*2π)/6182 weeks
274-1.8256 -5.6163 (274*2π)/6182 weeks
2752.00986 -4.74302 (275*2π)/6182 weeks
2764.96509 -3.99655 (276*2π)/6182 weeks
2777.87097 -.42076 (277*2π)/6182 weeks
2785.6935 7.03554 (278*2π)/6182 weeks
279-3.11284 5.72523 (279*2π)/6182 weeks
280-3.78517 -1.95004 (280*2π)/6182 weeks
2812.38079 -3.40513 (281*2π)/6182 weeks
2823.2488 .55186 (282*2π)/6182 weeks
2832.14793 -.45601 (283*2π)/6182 weeks
2844.85562 .66028 (284*2π)/6182 weeks
2854.29073 6.42509 (285*2π)/6182 weeks
286-4.39036 6.84419 (286*2π)/6182 weeks
287-7.26916 -1.05764 (287*2π)/6182 weeks
288-1.84128 -6.90649 (288*2π)/6182 weeks
2894.17919 -4.99967 (289*2π)/6182 weeks
2905.08352 -.62361 (290*2π)/6182 weeks
2913.96345 -.64391 (291*2π)/6182 weeks
2927.031 2.25241 (292*2π)/6182 weeks
2933.65543 8.44875 (293*2π)/6182 weeks
294-5.61618 8.44855 (294*2π)/6182 weeks
295-9.62856 -.00776 (295*2π)/6182 weeks
296-7.27771 -7.73472 (296*2π)/6182 weeks
2971.02452 -11.39476 (297*2π)/6182 weeks
2987.83242 -9.04152 (298*2π)/6182 weeks
29911.88176 -2.41333 (299*2π)/6182 weeks
30011.73276 4.47229 (300*2π)/6182 weeks
3014.24852 10.5908 (301*2π)/6182 weeks
302-2.4904 6.67006 (302*2π)/6182 weeks
303-2.23957 3.36871 (303*2π)/6182 weeks
304-5.30809 3.2168 (304*2π)/6182 weeks
305-6.59972 -4.36697 (305*2π)/6182 weeks
306.50589 -8.53741 (306*2π)/6182 weeks
3076.66593 -3.4943 (307*2π)/6182 weeks
3083.76354 -.26729 (308*2π)/6182 weeks
3094.47445   (309*2π)/6182 weeks
3103.76354 .26729 (310*2π)/6182 weeks
3116.66593 3.4943 (311*2π)/6182 weeks
312.50589 8.53741 (312*2π)/6182 weeks
313-6.59972 4.36697 (313*2π)/6182 weeks
314-5.30809 -3.2168 (314*2π)/6182 weeks
315-2.23957 -3.36871 (315*2π)/6182 weeks
316-2.4904 -6.67006 (316*2π)/6182 weeks
3174.24852 -10.5908 (317*2π)/6182 weeks
31811.73276 -4.47229 (318*2π)/6182 weeks
31911.88176 2.41333 (319*2π)/6182 weeks
3207.83242 9.04152 (320*2π)/6182 weeks
3211.02452 11.39476 (321*2π)/6182 weeks
322-7.27771 7.73472 (322*2π)/6182 weeks
323-9.62856 .00776 (323*2π)/6182 weeks
324-5.61618 -8.44855 (324*2π)/6182 weeks
3253.65543 -8.44875 (325*2π)/6182 weeks
3267.031 -2.25241 (326*2π)/6182 weeks
3273.96345 .64391 (327*2π)/6182 weeks
3285.08352 .62361 (328*2π)/6182 weeks
3294.17919 4.99967 (329*2π)/6182 weeks
330-1.84128 6.90649 (330*2π)/6182 weeks
331-7.26916 1.05764 (331*2π)/6182 weeks
332-4.39036 -6.84419 (332*2π)/6182 weeks
3334.29073 -6.42509 (333*2π)/6182 weeks
3344.85562 -.66028 (334*2π)/6182 weeks
3352.14793 .45601 (335*2π)/6182 weeks
3363.2488 -.55186 (336*2π)/6182 weeks
3372.38079 3.40513 (337*2π)/6182 weeks
338-3.78517 1.95004 (338*2π)/6182 weeks
339-3.11284 -5.72523 (339*2π)/6182 weeks
3405.6935 -7.03554 (340*2π)/6182 weeks
3417.87097 .42076 (341*2π)/6182 weeks
3424.96509 3.99655 (342*2π)/6182 weeks
3432.00986 4.74302 (343*2π)/6182 weeks
344-1.8256 5.6163 (344*2π)/6182 weeks
345-5.47516 .95002 (345*2π)/6182 weeks
346-4.05196 -2.81791 (346*2π)/6182 weeks
347-1.62638 -5.51214 (347*2π)/6182 weeks
3482.23432 -6.01574 (348*2π)/6182 weeks
3495.79632 -3.49885 (349*2π)/6182 weeks
3505.72048 .621 (350*2π)/6182 weeks
3514.13157 3.81346 (351*2π)/6182 weeks
352-.61421 4.44699 (352*2π)/6182 weeks
353-3.67967 2.81713 (353*2π)/6182 weeks
354-6.33024 -1.56303 (354*2π)/6182 weeks
355-3.88215 -7.65538 (355*2π)/6182 weeks
3562.82613 -9.16769 (356*2π)/6182 weeks
3577.0235 -3.99981 (357*2π)/6182 weeks
3584.71991 -.77867 (358*2π)/6182 weeks
3595.30092 -1.28974 (359*2π)/6182 weeks
3604.10551 2.70862 (360*2π)/6182 weeks
3611.14177 1.40802 (361*2π)/6182 weeks
3621.71742 .51712 (362*2π)/6182 weeks
363.42352 2.26863 (363*2π)/6182 weeks
364-2.75459 -.86733 (364*2π)/6182 weeks
365.4027 -4.72846 (365*2π)/6182 weeks
3665.31044 -2.21255 (366*2π)/6182 weeks
3672.95701 2.24023 (367*2π)/6182 weeks
368.37062 1.80795 (368*2π)/6182 weeks
369-1.66285 .96554 (369*2π)/6182 weeks
370-2.15839 -2.75361 (370*2π)/6182 weeks
3711.77897 -2.19344 (371*2π)/6182 weeks
372-2.44505 -.09654 (372*2π)/6182 weeks
373-2.71134 -7.75105 (373*2π)/6182 weeks
3747.16447 -8.26606 (374*2π)/6182 weeks
3756.98567 1.02329 (375*2π)/6182 weeks
3762.58347 .4476 (376*2π)/6182 weeks
3772.5815 -.62366 (377*2π)/6182 weeks
3783.31394 -.09038 (378*2π)/6182 weeks
3792.62581 1.89426 (379*2π)/6182 weeks
380-1.22637 1.97183 (380*2π)/6182 weeks
381-2.42272 -3.16329 (381*2π)/6182 weeks
3823.09785 -5.2237 (382*2π)/6182 weeks
3834.91803 -.94563 (383*2π)/6182 weeks
3844.33389 .80195 (384*2π)/6182 weeks
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