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Fourier Analysis of TNXP (Tonix Pharmaceuticals Holding)


TNXP (Tonix Pharmaceuticals Holding) appears to have interesting cyclic behaviour every 28 weeks (11.9929*sine), 25 weeks (7.063*cosine), and 23 weeks (5.2816*cosine).

TNXP (Tonix Pharmaceuticals Holding) has an average price of 69.6 (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 5/10/2012 to 9/5/2017 for TNXP (Tonix Pharmaceuticals Holding), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
069.59525   0 
1-7.938 37.20423 (1*2π)/279279 weeks
221.9714 17.99128 (2*2π)/279140 weeks
322.75988 28.19117 (3*2π)/27993 weeks
4-7.47686 18.40606 (4*2π)/27970 weeks
56.89435 10.89634 (5*2π)/27956 weeks
64.4579 9.72317 (6*2π)/27947 weeks
71.97583 14.95948 (7*2π)/27940 weeks
8-7.69112 7.56773 (8*2π)/27935 weeks
98.51543 1.6836 (9*2π)/27931 weeks
104.70372 11.99288 (10*2π)/27928 weeks
11-7.06302 4.48239 (11*2π)/27925 weeks
125.2816 4.12026 (12*2π)/27923 weeks
13-.70048 4.54311 (13*2π)/27921 weeks
14.2668 4.21526 (14*2π)/27920 weeks
152.77383 2.43956 (15*2π)/27919 weeks
163.50997 4.05329 (16*2π)/27917 weeks
17-.34142 4.93141 (17*2π)/27916 weeks
18-.08197 2.20203 (18*2π)/27916 weeks
192.37962 4.66418 (19*2π)/27915 weeks
20-.19536 .36227 (20*2π)/27914 weeks
211.00336 2.31918 (21*2π)/27913 weeks
222.66669 -.6293 (22*2π)/27913 weeks
234.54196 3.87711 (23*2π)/27912 weeks
24.2497 4.53385 (24*2π)/27912 weeks
252.16323 .87666 (25*2π)/27911 weeks
261.62904 3.96977 (26*2π)/27911 weeks
27.20911 -.0051 (27*2π)/27910 weeks
282.25087 3.38449 (28*2π)/27910 weeks
29.33749 .97027 (29*2π)/27910 weeks
303.26457 1.19193 (30*2π)/2799 weeks
311.30006 1.44088 (31*2π)/2799 weeks
323.32708 1.27756 (32*2π)/2799 weeks
33.79621 3.77964 (33*2π)/2798 weeks
341.25433 1.14195 (34*2π)/2798 weeks
351.67905 1.01743 (35*2π)/2798 weeks
362.59055 1.37037 (36*2π)/2798 weeks
371.25552 1.77352 (37*2π)/2798 weeks
382.99531 1.10152 (38*2π)/2797 weeks
39.8272 2.98201 (39*2π)/2797 weeks
401.72605 1.30921 (40*2π)/2797 weeks
412.10094 1.1941 (41*2π)/2797 weeks
421.05925 1.77624 (42*2π)/2797 weeks
431.59197 1.23412 (43*2π)/2796 weeks
441.25207 1.2627 (44*2π)/2796 weeks
452.87282 2.02852 (45*2π)/2796 weeks
46.13585 2.09573 (46*2π)/2796 weeks
471.56578 -.12727 (47*2π)/2796 weeks
482.34598 2.01994 (48*2π)/2796 weeks
49.02386 1.65855 (49*2π)/2796 weeks
502.23755 1.51027 (50*2π)/2796 weeks
51.63183 .32319 (51*2π)/2795 weeks
521.24523 1.25433 (52*2π)/2795 weeks
531.11102 .70655 (53*2π)/2795 weeks
542.41618 -.10694 (54*2π)/2795 weeks
551.07139 2.45977 (55*2π)/2795 weeks
561.08879 .10188 (56*2π)/2795 weeks
571.96076 .12278 (57*2π)/2795 weeks
582.50254 .92959 (58*2π)/2795 weeks
591.34285 2.28576 (59*2π)/2795 weeks
601.35323 .77744 (60*2π)/2795 weeks
61.96496 1.2548 (61*2π)/2795 weeks
62.65723 .54962 (62*2π)/2795 weeks
631.28463 -.36935 (63*2π)/2794 weeks
642.36285 -.28063 (64*2π)/2794 weeks
652.81409 .97199 (65*2π)/2794 weeks
662.00626 1.88011 (66*2π)/2794 weeks
671.98201 .61681 (67*2π)/2794 weeks
681.27811 2.46363 (68*2π)/2794 weeks
69.09309 .65465 (69*2π)/2794 weeks
701.62919 -.59182 (70*2π)/2794 weeks
711.92189 .58053 (71*2π)/2794 weeks
723.07557 1.09025 (72*2π)/2794 weeks
731.39536 1.11112 (73*2π)/2794 weeks
741.43431 1.25492 (74*2π)/2794 weeks
751.26668 1.25328 (75*2π)/2794 weeks
761.64239 .44189 (76*2π)/2794 weeks
771.63775 1.16404 (77*2π)/2794 weeks
781.69545 .73649 (78*2π)/2794 weeks
791.53718 1.09938 (79*2π)/2794 weeks
801.5356 1.31292 (80*2π)/2793 weeks
811.73267 1.46844 (81*2π)/2793 weeks
82.19149 1.58835 (82*2π)/2793 weeks
83.54228 .68056 (83*2π)/2793 weeks
84.90626 -.1707 (84*2π)/2793 weeks
851.37411 -.11 (85*2π)/2793 weeks
862.23094 .69123 (86*2π)/2793 weeks
871.57451 1.221 (87*2π)/2793 weeks
881.68949 1.8039 (88*2π)/2793 weeks
89-.17673 .94983 (89*2π)/2793 weeks
90.79182 .13442 (90*2π)/2793 weeks
91.30633 .85087 (91*2π)/2793 weeks
921.58271 -.87279 (92*2π)/2793 weeks
931.29803 1.1484 (93*2π)/2793 weeks
94.88524 -.1727 (94*2π)/2793 weeks
951.34908 .24622 (95*2π)/2793 weeks
961.06656 .17952 (96*2π)/2793 weeks
971.43661 .44317 (97*2π)/2793 weeks
981.24628 -.20874 (98*2π)/2793 weeks
991.77249 .27856 (99*2π)/2793 weeks
1001.46764 1.10773 (100*2π)/2793 weeks
101.95866 .1162 (101*2π)/2793 weeks
1021.28074 .75098 (102*2π)/2793 weeks
103.5263 .49389 (103*2π)/2793 weeks
104.91716 -.01624 (104*2π)/2793 weeks
105.74082 -.94436 (105*2π)/2793 weeks
1061.75439 -.1892 (106*2π)/2793 weeks
1071.569 .27319 (107*2π)/2793 weeks
1082.09169 .01557 (108*2π)/2793 weeks
109.98651 .86307 (109*2π)/2793 weeks
110.8179 .07088 (110*2π)/2793 weeks
111.44475 -.2976 (111*2π)/2793 weeks
1121.67287 -1.13576 (112*2π)/2792 weeks
1132.19047 .19375 (113*2π)/2792 weeks
1141.53872 -.27219 (114*2π)/2792 weeks
1151.73301 -.00093 (115*2π)/2792 weeks
1161.68557 .15709 (116*2π)/2792 weeks
1171.5535 .2042 (117*2π)/2792 weeks
1181.53419 -.05612 (118*2π)/2792 weeks
1192.19571 -.14081 (119*2π)/2792 weeks
1201.13778 .78981 (120*2π)/2792 weeks
1211.44877 -.58061 (121*2π)/2792 weeks
1222.15751 .11312 (122*2π)/2792 weeks
1231.43428 .85504 (123*2π)/2792 weeks
1241.85159 .13192 (124*2π)/2792 weeks
125.92622 .15299 (125*2π)/2792 weeks
1261.8756 .00552 (126*2π)/2792 weeks
1271.15705 .43114 (127*2π)/2792 weeks
1282.04947 -.37121 (128*2π)/2792 weeks
1291.81732 .8453 (129*2π)/2792 weeks
1301.02551 .58632 (130*2π)/2792 weeks
1311.01188 .3932 (131*2π)/2792 weeks
1321.21564 -.62587 (132*2π)/2792 weeks
1331.28072 .59974 (133*2π)/2792 weeks
1341.36564 -.97628 (134*2π)/2792 weeks
1352.56021 .62721 (135*2π)/2792 weeks
136.8467 .98227 (136*2π)/2792 weeks
137.77439 -.40357 (137*2π)/2792 weeks
1381.49557 .06529 (138*2π)/2792 weeks
1391.31915 .06882 (139*2π)/2792 weeks
1401.31915 -.06882 (140*2π)/2792 weeks
1411.49557 -.06529 (141*2π)/2792 weeks
142.77439 .40357 (142*2π)/2792 weeks
143.8467 -.98227 (143*2π)/2792 weeks
1442.56021 -.62721 (144*2π)/2792 weeks
1451.36564 .97628 (145*2π)/2792 weeks
1461.28072 -.59974 (146*2π)/2792 weeks
1471.21564 .62587 (147*2π)/2792 weeks
1481.01188 -.3932 (148*2π)/2792 weeks
1491.02551 -.58632 (149*2π)/2792 weeks
1501.81732 -.8453 (150*2π)/2792 weeks
1512.04947 .37121 (151*2π)/2792 weeks
1521.15705 -.43114 (152*2π)/2792 weeks
1531.8756 -.00552 (153*2π)/2792 weeks
154.92622 -.15299 (154*2π)/2792 weeks
1551.85159 -.13192 (155*2π)/2792 weeks
1561.43428 -.85504 (156*2π)/2792 weeks
1572.15751 -.11312 (157*2π)/2792 weeks
1581.44877 .58061 (158*2π)/2792 weeks
1591.13778 -.78981 (159*2π)/2792 weeks
1602.19571 .14081 (160*2π)/2792 weeks
1611.53419 .05612 (161*2π)/2792 weeks
1621.5535 -.2042 (162*2π)/2792 weeks
1631.68557 -.15709 (163*2π)/2792 weeks
1641.73301 .00093 (164*2π)/2792 weeks
1651.53872 .27219 (165*2π)/2792 weeks
1662.19047 -.19375 (166*2π)/2792 weeks
1671.67287 1.13576 (167*2π)/2792 weeks
168.44475 .2976 (168*2π)/2792 weeks
169.8179 -.07088 (169*2π)/2792 weeks
170.98651 -.86307 (170*2π)/2792 weeks
1712.09169 -.01557 (171*2π)/2792 weeks
1721.569 -.27319 (172*2π)/2792 weeks
1731.75439 .1892 (173*2π)/2792 weeks
174.74082 .94436 (174*2π)/2792 weeks
175.91716 .01624 (175*2π)/2792 weeks
176.5263 -.49389 (176*2π)/2792 weeks
1771.28074 -.75098 (177*2π)/2792 weeks
178.95866 -.1162 (178*2π)/2792 weeks
1791.46764 -1.10773 (179*2π)/2792 weeks
1801.77249 -.27856 (180*2π)/2792 weeks
1811.24628 .20874 (181*2π)/2792 weeks
1821.43661 -.44317 (182*2π)/2792 weeks
1831.06656 -.17952 (183*2π)/2792 weeks
1841.34908 -.24622 (184*2π)/2792 weeks
185.88524 .1727 (185*2π)/2792 weeks
1861.29803 -1.1484 (186*2π)/2792 weeks
1871.58271 .87279 (187*2π)/2791 weeks
188.30633 -.85087 (188*2π)/2791 weeks
189.79182 -.13442 (189*2π)/2791 weeks
190-.17673 -.94983 (190*2π)/2791 weeks
1911.68949 -1.8039 (191*2π)/2791 weeks
1921.57451 -1.221 (192*2π)/2791 weeks
1932.23094 -.69123 (193*2π)/2791 weeks
1941.37411 .11 (194*2π)/2791 weeks
195.90626 .1707 (195*2π)/2791 weeks
196.54228 -.68056 (196*2π)/2791 weeks
197.19149 -1.58835 (197*2π)/2791 weeks
1981.73267 -1.46844 (198*2π)/2791 weeks
1991.5356 -1.31292 (199*2π)/2791 weeks
2001.53718 -1.09938 (200*2π)/2791 weeks
2011.69545 -.73649 (201*2π)/2791 weeks
2021.63775 -1.16404 (202*2π)/2791 weeks
2031.64239 -.44189 (203*2π)/2791 weeks
2041.26668 -1.25328 (204*2π)/2791 weeks
2051.43431 -1.25492 (205*2π)/2791 weeks
2061.39536 -1.11112 (206*2π)/2791 weeks
2073.07557 -1.09025 (207*2π)/2791 weeks
2081.92189 -.58053 (208*2π)/2791 weeks
2091.62919 .59182 (209*2π)/2791 weeks
210.09309 -.65465 (210*2π)/2791 weeks
2111.27811 -2.46363 (211*2π)/2791 weeks
2121.98201 -.61681 (212*2π)/2791 weeks
2132.00626 -1.88011 (213*2π)/2791 weeks
2142.81409 -.97199 (214*2π)/2791 weeks
2152.36285 .28063 (215*2π)/2791 weeks
2161.28463 .36935 (216*2π)/2791 weeks
217.65723 -.54962 (217*2π)/2791 weeks
218.96496 -1.2548 (218*2π)/2791 weeks
2191.35323 -.77744 (219*2π)/2791 weeks
2201.34285 -2.28576 (220*2π)/2791 weeks
2212.50254 -.92959 (221*2π)/2791 weeks
2221.96076 -.12278 (222*2π)/2791 weeks
2231.08879 -.10188 (223*2π)/2791 weeks
2241.07139 -2.45977 (224*2π)/2791 weeks
2252.41618 .10694 (225*2π)/2791 weeks
2261.11102 -.70655 (226*2π)/2791 weeks
2271.24523 -1.25433 (227*2π)/2791 weeks
228.63183 -.32319 (228*2π)/2791 weeks
2292.23755 -1.51027 (229*2π)/2791 weeks
230.02386 -1.65855 (230*2π)/2791 weeks
2312.34598 -2.01994 (231*2π)/2791 weeks
2321.56578 .12727 (232*2π)/2791 weeks
233.13585 -2.09573 (233*2π)/2791 weeks
2342.87282 -2.02852 (234*2π)/2791 weeks
2351.25207 -1.2627 (235*2π)/2791 weeks
2361.59197 -1.23412 (236*2π)/2791 weeks
2371.05925 -1.77624 (237*2π)/2791 weeks
2382.10094 -1.1941 (238*2π)/2791 weeks
2391.72605 -1.30921 (239*2π)/2791 weeks
240.8272 -2.98201 (240*2π)/2791 weeks
2412.99531 -1.10152 (241*2π)/2791 weeks
2421.25552 -1.77352 (242*2π)/2791 weeks
2432.59055 -1.37037 (243*2π)/2791 weeks
2441.67905 -1.01743 (244*2π)/2791 weeks
2451.25433 -1.14195 (245*2π)/2791 weeks
246.79621 -3.77964 (246*2π)/2791 weeks
2473.32708 -1.27756 (247*2π)/2791 weeks
2481.30006 -1.44088 (248*2π)/2791 weeks
2493.26457 -1.19193 (249*2π)/2791 weeks
250.33749 -.97027 (250*2π)/2791 weeks
2512.25087 -3.38449 (251*2π)/2791 weeks
252.20911 .0051 (252*2π)/2791 weeks
2531.62904 -3.96977 (253*2π)/2791 weeks
2542.16323 -.87666 (254*2π)/2791 weeks
255.2497 -4.53385 (255*2π)/2791 weeks
2564.54196 -3.87711 (256*2π)/2791 weeks
2572.66669 .6293 (257*2π)/2791 weeks
2581.00336 -2.31918 (258*2π)/2791 weeks
259-.19536 -.36227 (259*2π)/2791 weeks
2602.37962 -4.66418 (260*2π)/2791 weeks
261-.08197 -2.20203 (261*2π)/2791 weeks
262-.34142 -4.93141 (262*2π)/2791 weeks
2633.50997 -4.05329 (263*2π)/2791 weeks
2642.77383 -2.43956 (264*2π)/2791 weeks
265.2668 -4.21526 (265*2π)/2791 weeks
266-.70048 -4.54311 (266*2π)/2791 weeks
2675.2816 -4.12026 (267*2π)/2791 weeks
268-7.06302 -4.48239 (268*2π)/2791 weeks
2694.70372 -11.99288 (269*2π)/2791 weeks
2708.51543 -1.6836 (270*2π)/2791 weeks
271-7.69112 -7.56773 (271*2π)/2791 weeks
2721.97583 -14.95948 (272*2π)/2791 weeks
2734.4579 -9.72317 (273*2π)/2791 weeks
2746.89435 -10.89634 (274*2π)/2791 weeks
275-7.47686 -18.40606 (275*2π)/2791 weeks
27622.75988 -28.19117 (276*2π)/2791 weeks
27721.9714 -17.99128 (277*2π)/2791 weeks



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