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# Fourier Analysis of TTPH (Tetraphase Pharmaceuticals)

TTPH (Tetraphase Pharmaceuticals) appears to have interesting cyclic behaviour every 23 weeks (1.2835*sine), 27 weeks (1.2304*cosine), and 25 weeks (1.0307*sine).

TTPH (Tetraphase Pharmaceuticals) has an average price of 12.99 (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 3/20/2013 to 6/4/2018 for TTPH (Tetraphase Pharmaceuticals), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
012.98788   0
1-7.53435 9.41298 (1*2π)/273273 weeks
21.03375 -8.11393 (2*2π)/273137 weeks
3.67194 6.5192 (3*2π)/27391 weeks
4-3.39906 -1.97393 (4*2π)/27368 weeks
51.73024 .53204 (5*2π)/27355 weeks
6-.64361 -.88284 (6*2π)/27346 weeks
71.21391 1.40669 (7*2π)/27339 weeks
8-1.369 .11359 (8*2π)/27334 weeks
91.80165 .14387 (9*2π)/27330 weeks
10-1.23036 .76066 (10*2π)/27327 weeks
111.00607 -1.03066 (11*2π)/27325 weeks
12-.34441 1.28352 (12*2π)/27323 weeks
13.52796 -.72418 (13*2π)/27321 weeks
14-.1998 1.09667 (14*2π)/27320 weeks
15-.23501 -.74395 (15*2π)/27318 weeks
16-.35575 .5692 (16*2π)/27317 weeks
17.28031 -.97127 (17*2π)/27316 weeks
18.25673 .79386 (18*2π)/27315 weeks
19-.64683 -.42128 (19*2π)/27314 weeks
20.41328 .25768 (20*2π)/27314 weeks
21.02355 .32743 (21*2π)/27313 weeks
22-.07005 .46369 (22*2π)/27312 weeks
23-.43964 -.48565 (23*2π)/27312 weeks
24.5706 .23763 (24*2π)/27311 weeks
25-.47916 .15128 (25*2π)/27311 weeks
26.3237 -.20902 (26*2π)/27311 weeks
27.05593 .2384 (27*2π)/27310 weeks
28.01322 .0146 (28*2π)/27310 weeks
29-.06792 -.18924 (29*2π)/2739 weeks
30.4414 .0344 (30*2π)/2739 weeks
31-.53797 .23376 (31*2π)/2739 weeks
32.18814 -.41595 (32*2π)/2739 weeks
33-.1298 .43551 (33*2π)/2738 weeks
34-.01135 -.16095 (34*2π)/2738 weeks
35-.09909 .16147 (35*2π)/2738 weeks
36.02243 -.16334 (36*2π)/2738 weeks
37-.05375 .21087 (37*2π)/2737 weeks
38.07313 -.15787 (38*2π)/2737 weeks
39.15523 .44765 (39*2π)/2737 weeks
40-.32777 -.24652 (40*2π)/2737 weeks
41.37811 .09173 (41*2π)/2737 weeks
42-.3895 -.04473 (42*2π)/2737 weeks
43.29825 -.07486 (43*2π)/2736 weeks
44-.22846 .10816 (44*2π)/2736 weeks
45.25097 -.14056 (45*2π)/2736 weeks
46-.09718 .23189 (46*2π)/2736 weeks
47.17685 -.21926 (47*2π)/2736 weeks
48-.20796 .16583 (48*2π)/2736 weeks
49.08171 -.35329 (49*2π)/2736 weeks
50-.11233 .28832 (50*2π)/2735 weeks
51.01781 -.13714 (51*2π)/2735 weeks
52.01853 .19685 (52*2π)/2735 weeks
53.01129 -.16078 (53*2π)/2735 weeks
54.11868 .22038 (54*2π)/2735 weeks
55-.0909 -.13427 (55*2π)/2735 weeks
56.11035 .17143 (56*2π)/2735 weeks
57-.15753 -.14244 (57*2π)/2735 weeks
58.28363 .1443 (58*2π)/2735 weeks
59-.24596 .04818 (59*2π)/2735 weeks
60.1807 -.20549 (60*2π)/2735 weeks
61-.10542 .09044 (61*2π)/2734 weeks
62.19059 -.13312 (62*2π)/2734 weeks
63-.05516 .17173 (63*2π)/2734 weeks
64.10116 -.14579 (64*2π)/2734 weeks
65-.07903 .10956 (65*2π)/2734 weeks
66.06915 -.06797 (66*2π)/2734 weeks
67-.07011 .07885 (67*2π)/2734 weeks
68.10702 -.09696 (68*2π)/2734 weeks
69-.01172 .22017 (69*2π)/2734 weeks
70-.00967 -.21005 (70*2π)/2734 weeks
71.18498 .1405 (71*2π)/2734 weeks
72-.13485 -.02054 (72*2π)/2734 weeks
73.1501 .08205 (73*2π)/2734 weeks
74-.08902 .02042 (74*2π)/2734 weeks
75.17429 -.00347 (75*2π)/2734 weeks
76-.07644 .08498 (76*2π)/2734 weeks
77.09166 -.03215 (77*2π)/2734 weeks
78-.16941 -.02796 (78*2π)/2734 weeks
79.25013 -.08465 (79*2π)/2733 weeks
80-.21314 .14486 (80*2π)/2733 weeks
81.19453 -.17983 (81*2π)/2733 weeks
82-.07748 .28915 (82*2π)/2733 weeks
83-.04296 -.25204 (83*2π)/2733 weeks
84.10262 .13479 (84*2π)/2733 weeks
85-.05037 .00418 (85*2π)/2733 weeks
86.06227 .11355 (86*2π)/2733 weeks
87.00636 -.10894 (87*2π)/2733 weeks
88.04277 .19272 (88*2π)/2733 weeks
89-.1652 -.1812 (89*2π)/2733 weeks
90.28965 .1176 (90*2π)/2733 weeks
91-.19386 .09558 (91*2π)/2733 weeks
92.15894 -.10674 (92*2π)/2733 weeks
93-.02991 .01084 (93*2π)/2733 weeks
94.02923 .02141 (94*2π)/2733 weeks
95-.1145 -.03132 (95*2π)/2733 weeks
96.22081 .02812 (96*2π)/2733 weeks
97-.24384 .11422 (97*2π)/2733 weeks
98.14859 -.1913 (98*2π)/2733 weeks
99-.06937 .24528 (99*2π)/2733 weeks
100-.04595 -.1797 (100*2π)/2733 weeks
101.03325 .12221 (101*2π)/2733 weeks
102.01065 -.13524 (102*2π)/2733 weeks
103.04572 .1432 (103*2π)/2733 weeks
104-.05963 -.12851 (104*2π)/2733 weeks
105.17548 .13066 (105*2π)/2733 weeks
106-.05359 -.04083 (106*2π)/2733 weeks
107.11061 .11525 (107*2π)/2733 weeks
108-.20535 -.03579 (108*2π)/2733 weeks
109.11327 -.02488 (109*2π)/2733 weeks
110-.11952 -.06208 (110*2π)/2732 weeks
111.20778 -.01454 (111*2π)/2732 weeks
112-.1595 .03365 (112*2π)/2732 weeks
113.20718 -.082 (113*2π)/2732 weeks
114-.16454 .14024 (114*2π)/2732 weeks
115.08803 -.17063 (115*2π)/2732 weeks
116-.06117 .20036 (116*2π)/2732 weeks
117.02169 -.14221 (117*2π)/2732 weeks
118.04437 .18795 (118*2π)/2732 weeks
119-.07173 -.09255 (119*2π)/2732 weeks
120.02923 .11912 (120*2π)/2732 weeks
121-.00282 -.15871 (121*2π)/2732 weeks
122.14162 .10984 (122*2π)/2732 weeks
123-.12116 -.14273 (123*2π)/2732 weeks
124.12825 .08668 (124*2π)/2732 weeks
125-.16742 -.10963 (125*2π)/2732 weeks
126.21847 .0182 (126*2π)/2732 weeks
127-.16156 .00036 (127*2π)/2732 weeks
128.17627 -.04287 (128*2π)/2732 weeks
129-.14601 .08625 (129*2π)/2732 weeks
130.12694 -.14441 (130*2π)/2732 weeks
131-.00225 .14028 (131*2π)/2732 weeks
132-.06106 -.05208 (132*2π)/2732 weeks
133-.01625 .0802 (133*2π)/2732 weeks
134.02295 -.06941 (134*2π)/2732 weeks
135.04682 -.02463 (135*2π)/2732 weeks
136.08415 -.08688 (136*2π)/2732 weeks
137.08415 .08688 (137*2π)/2732 weeks
138.04682 .02463 (138*2π)/2732 weeks
139.02295 .06941 (139*2π)/2732 weeks
140-.01625 -.0802 (140*2π)/2732 weeks
141-.06106 .05208 (141*2π)/2732 weeks
142-.00225 -.14028 (142*2π)/2732 weeks
143.12694 .14441 (143*2π)/2732 weeks
144-.14601 -.08625 (144*2π)/2732 weeks
145.17627 .04287 (145*2π)/2732 weeks
146-.16156 -.00036 (146*2π)/2732 weeks
147.21847 -.0182 (147*2π)/2732 weeks
148-.16742 .10963 (148*2π)/2732 weeks
149.12825 -.08668 (149*2π)/2732 weeks
150-.12116 .14273 (150*2π)/2732 weeks
151.14162 -.10984 (151*2π)/2732 weeks
152-.00282 .15871 (152*2π)/2732 weeks
153.02923 -.11912 (153*2π)/2732 weeks
154-.07173 .09255 (154*2π)/2732 weeks
155.04437 -.18795 (155*2π)/2732 weeks
156.02169 .14221 (156*2π)/2732 weeks
157-.06117 -.20036 (157*2π)/2732 weeks
158.08803 .17063 (158*2π)/2732 weeks
159-.16454 -.14024 (159*2π)/2732 weeks
160.20718 .082 (160*2π)/2732 weeks
161-.1595 -.03365 (161*2π)/2732 weeks
162.20778 .01454 (162*2π)/2732 weeks
163-.11952 .06208 (163*2π)/2732 weeks
164.11327 .02488 (164*2π)/2732 weeks
165-.20535 .03579 (165*2π)/2732 weeks
166.11061 -.11525 (166*2π)/2732 weeks
167-.05359 .04083 (167*2π)/2732 weeks
168.17548 -.13066 (168*2π)/2732 weeks
169-.05963 .12851 (169*2π)/2732 weeks
170.04572 -.1432 (170*2π)/2732 weeks
171.01065 .13524 (171*2π)/2732 weeks
172.03325 -.12221 (172*2π)/2732 weeks
173-.04595 .1797 (173*2π)/2732 weeks
174-.06937 -.24528 (174*2π)/2732 weeks
175.14859 .1913 (175*2π)/2732 weeks
176-.24384 -.11422 (176*2π)/2732 weeks
177.22081 -.02812 (177*2π)/2732 weeks
178-.1145 .03132 (178*2π)/2732 weeks
179.02923 -.02141 (179*2π)/2732 weeks
180-.02991 -.01084 (180*2π)/2732 weeks
181.15894 .10674 (181*2π)/2732 weeks
182-.19386 -.09558 (182*2π)/2732 weeks
183.28965 -.1176 (183*2π)/2731 weeks
184-.1652 .1812 (184*2π)/2731 weeks
185.04277 -.19272 (185*2π)/2731 weeks
186.00636 .10894 (186*2π)/2731 weeks
187.06227 -.11355 (187*2π)/2731 weeks
188-.05037 -.00418 (188*2π)/2731 weeks
189.10262 -.13479 (189*2π)/2731 weeks
190-.04296 .25204 (190*2π)/2731 weeks
191-.07748 -.28915 (191*2π)/2731 weeks
192.19453 .17983 (192*2π)/2731 weeks
193-.21314 -.14486 (193*2π)/2731 weeks
194.25013 .08465 (194*2π)/2731 weeks
195-.16941 .02796 (195*2π)/2731 weeks
196.09166 .03215 (196*2π)/2731 weeks
197-.07644 -.08498 (197*2π)/2731 weeks
198.17429 .00347 (198*2π)/2731 weeks
199-.08902 -.02042 (199*2π)/2731 weeks
200.1501 -.08205 (200*2π)/2731 weeks
201-.13485 .02054 (201*2π)/2731 weeks
202.18498 -.1405 (202*2π)/2731 weeks
203-.00967 .21005 (203*2π)/2731 weeks
204-.01172 -.22017 (204*2π)/2731 weeks
205.10702 .09696 (205*2π)/2731 weeks
206-.07011 -.07885 (206*2π)/2731 weeks
207.06915 .06797 (207*2π)/2731 weeks
208-.07903 -.10956 (208*2π)/2731 weeks
209.10116 .14579 (209*2π)/2731 weeks
210-.05516 -.17173 (210*2π)/2731 weeks
211.19059 .13312 (211*2π)/2731 weeks
212-.10542 -.09044 (212*2π)/2731 weeks
213.1807 .20549 (213*2π)/2731 weeks
214-.24596 -.04818 (214*2π)/2731 weeks
215.28363 -.1443 (215*2π)/2731 weeks
216-.15753 .14244 (216*2π)/2731 weeks
217.11035 -.17143 (217*2π)/2731 weeks
218-.0909 .13427 (218*2π)/2731 weeks
219.11868 -.22038 (219*2π)/2731 weeks
220.01129 .16078 (220*2π)/2731 weeks
221.01853 -.19685 (221*2π)/2731 weeks
222.01781 .13714 (222*2π)/2731 weeks
223-.11233 -.28832 (223*2π)/2731 weeks
224.08171 .35329 (224*2π)/2731 weeks
225-.20796 -.16583 (225*2π)/2731 weeks
226.17685 .21926 (226*2π)/2731 weeks
227-.09718 -.23189 (227*2π)/2731 weeks
228.25097 .14056 (228*2π)/2731 weeks
229-.22846 -.10816 (229*2π)/2731 weeks
230.29825 .07486 (230*2π)/2731 weeks
231-.3895 .04473 (231*2π)/2731 weeks
232.37811 -.09173 (232*2π)/2731 weeks
233-.32777 .24652 (233*2π)/2731 weeks
234.15523 -.44765 (234*2π)/2731 weeks
235.07313 .15787 (235*2π)/2731 weeks
236-.05375 -.21087 (236*2π)/2731 weeks
237.02243 .16334 (237*2π)/2731 weeks
238-.09909 -.16147 (238*2π)/2731 weeks
239-.01135 .16095 (239*2π)/2731 weeks
240-.1298 -.43551 (240*2π)/2731 weeks
241.18814 .41595 (241*2π)/2731 weeks
242-.53797 -.23376 (242*2π)/2731 weeks
243.4414 -.0344 (243*2π)/2731 weeks
244-.06792 .18924 (244*2π)/2731 weeks
245.01322 -.0146 (245*2π)/2731 weeks
246.05593 -.2384 (246*2π)/2731 weeks
247.3237 .20902 (247*2π)/2731 weeks
248-.47916 -.15128 (248*2π)/2731 weeks
249.5706 -.23763 (249*2π)/2731 weeks
250-.43964 .48565 (250*2π)/2731 weeks
251-.07005 -.46369 (251*2π)/2731 weeks
252.02355 -.32743 (252*2π)/2731 weeks
253.41328 -.25768 (253*2π)/2731 weeks
254-.64683 .42128 (254*2π)/2731 weeks
255.25673 -.79386 (255*2π)/2731 weeks
256.28031 .97127 (256*2π)/2731 weeks
257-.35575 -.5692 (257*2π)/2731 weeks
258-.23501 .74395 (258*2π)/2731 weeks
259-.1998 -1.09667 (259*2π)/2731 weeks
260.52796 .72418 (260*2π)/2731 weeks
261-.34441 -1.28352 (261*2π)/2731 weeks
2621.00607 1.03066 (262*2π)/2731 weeks
263-1.23036 -.76066 (263*2π)/2731 weeks
2641.80165 -.14387 (264*2π)/2731 weeks
265-1.369 -.11359 (265*2π)/2731 weeks
2661.21391 -1.40669 (266*2π)/2731 weeks
267-.64361 .88284 (267*2π)/2731 weeks
2681.73024 -.53204 (268*2π)/2731 weeks
269-3.39906 1.97393 (269*2π)/2731 weeks
270.67194 -6.5192 (270*2π)/2731 weeks
2711.03375 8.11393 (271*2π)/2731 weeks