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Fourier Analysis of RESP (RESPIRONICS INC)

RESP (RESPIRONICS INC) appears to have interesting cyclic behaviour every 16 weeks (.0967*sine), 15 weeks (.0757*sine), and 17 weeks (.0718*sine).

RESP (RESPIRONICS INC) has an average price of .65 (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 8/6/2013 to 3/20/2017 for RESP (RESPIRONICS INC), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0.65026   0
1.47526 -.16034 (1*2π)/190190 weeks
2.26447 -.22835 (2*2π)/19095 weeks
3.14147 -.28385 (3*2π)/19063 weeks
4.0215 -.30282 (4*2π)/19048 weeks
5-.06487 -.19582 (5*2π)/19038 weeks
6-.08471 -.14242 (6*2π)/19032 weeks
7-.07321 -.05163 (7*2π)/19027 weeks
8-.0277 .00476 (8*2π)/19024 weeks
9-.00049 -.03055 (9*2π)/19021 weeks
10-.00605 -.0206 (10*2π)/19019 weeks
11.01911 -.07176 (11*2π)/19017 weeks
12.00677 -.09673 (12*2π)/19016 weeks
13-.03166 -.07571 (13*2π)/19015 weeks
14-.03583 -.06656 (14*2π)/19014 weeks
15-.0491 -.02912 (15*2π)/19013 weeks
16-.03774 -.00112 (16*2π)/19012 weeks
17-.00421 .00727 (17*2π)/19011 weeks
18.01006 .00488 (18*2π)/19011 weeks
19.04012 -.01638 (19*2π)/19010 weeks
20.03777 -.04759 (20*2π)/19010 weeks
21.02503 -.06665 (21*2π)/1909 weeks
22.00401 -.07503 (22*2π)/1909 weeks
23-.02407 -.07006 (23*2π)/1908 weeks
24-.03834 -.04147 (24*2π)/1908 weeks
25-.03977 -.02551 (25*2π)/1908 weeks
26-.04083 -.00293 (26*2π)/1907 weeks
27-.02446 -.00337 (27*2π)/1907 weeks
28-.01329 -.01271 (28*2π)/1907 weeks
29-.00665 -.01197 (29*2π)/1907 weeks
30.00133 -.01766 (30*2π)/1906 weeks
31-.00365 -.01924 (31*2π)/1906 weeks
32-.0015 -.01908 (32*2π)/1906 weeks
33-.01095 -.02617 (33*2π)/1906 weeks
34-.0194 -.02406 (34*2π)/1906 weeks
35-.01192 -.01779 (35*2π)/1905 weeks
36-.02056 -.02274 (36*2π)/1905 weeks
37-.02111 -.0084 (37*2π)/1905 weeks
38-.01535 -.00678 (38*2π)/1905 weeks
39-.0203 -.00665 (39*2π)/1905 weeks
40-.01022 .00176 (40*2π)/1905 weeks
41-.00768 -.00749 (41*2π)/1905 weeks
42-.0142 -.00843 (42*2π)/1905 weeks
43-.0055 -.00425 (43*2π)/1904 weeks
44-.00318 -.02049 (44*2π)/1904 weeks
45-.00391 -.01185 (45*2π)/1904 weeks
46.00212 -.01348 (46*2π)/1904 weeks
47-.00136 -.01641 (47*2π)/1904 weeks
48-.00861 -.00572 (48*2π)/1904 weeks
49-.00431 -.01243 (49*2π)/1904 weeks
50.00058 -.01533 (50*2π)/1904 weeks
51-.00225 -.01365 (51*2π)/1904 weeks
52-.0017 -.02716 (52*2π)/1904 weeks
53-.00817 -.02222 (53*2π)/1904 weeks
54-.02071 -.02636 (54*2π)/1904 weeks
55-.02518 -.01669 (55*2π)/1903 weeks
56-.03549 -.00411 (56*2π)/1903 weeks
57-.02546 .00258 (57*2π)/1903 weeks
58-.01429 .01294 (58*2π)/1903 weeks
59-.00785 .00519 (59*2π)/1903 weeks
60.00093 -.00203 (60*2π)/1903 weeks
61.00311 -.01231 (61*2π)/1903 weeks
62.00103 -.02058 (62*2π)/1903 weeks
63-.01367 -.01544 (63*2π)/1903 weeks
64-.0233 -.01715 (64*2π)/1903 weeks
65-.02196 -.01029 (65*2π)/1903 weeks
66-.02416 .00016 (66*2π)/1903 weeks
67-.01382 .00214 (67*2π)/1903 weeks
68-.01522 .00216 (68*2π)/1903 weeks
69-.00289 -.0059 (69*2π)/1903 weeks
70.00135 -.0123 (70*2π)/1903 weeks
71-.00788 -.01382 (71*2π)/1903 weeks
72-.01477 -.02062 (72*2π)/1903 weeks
73-.02261 -.01658 (73*2π)/1903 weeks
74-.03433 -.00885 (74*2π)/1903 weeks
75-.03098 .00312 (75*2π)/1903 weeks
76-.02439 .01148 (76*2π)/1903 weeks
77-.00853 .01685 (77*2π)/1902 weeks
78.00614 .01004 (78*2π)/1902 weeks
79.00715 .00365 (79*2π)/1902 weeks
80.00886 -.00772 (80*2π)/1902 weeks
81-.00181 -.01673 (81*2π)/1902 weeks
82-.00961 -.0155 (82*2π)/1902 weeks
83-.01766 -.01154 (83*2π)/1902 weeks
84-.02735 -.00676 (84*2π)/1902 weeks
85-.02112 .00166 (85*2π)/1902 weeks
86-.01827 .00613 (86*2π)/1902 weeks
87-.01463 .01074 (87*2π)/1902 weeks
88-.00037 .0131 (88*2π)/1902 weeks
89-.00237 .0054 (89*2π)/1902 weeks
90.0045 -.00092 (90*2π)/1902 weeks
91.00358 -.00461 (91*2π)/1902 weeks
92-.00455 -.01577 (92*2π)/1902 weeks
93-.00701 -.01195 (93*2π)/1902 weeks
94-.01518 -.00751 (94*2π)/1902 weeks
95-.02059   (95*2π)/1902 weeks
96-.01518 .00751 (96*2π)/1902 weeks
97-.00701 .01195 (97*2π)/1902 weeks
98-.00455 .01577 (98*2π)/1902 weeks
99.00358 .00461 (99*2π)/1902 weeks
100.0045 .00092 (100*2π)/1902 weeks
101-.00237 -.0054 (101*2π)/1902 weeks
102-.00037 -.0131 (102*2π)/1902 weeks
103-.01463 -.01074 (103*2π)/1902 weeks
104-.01827 -.00613 (104*2π)/1902 weeks
105-.02112 -.00166 (105*2π)/1902 weeks
106-.02735 .00676 (106*2π)/1902 weeks
107-.01766 .01154 (107*2π)/1902 weeks
108-.00961 .0155 (108*2π)/1902 weeks
109-.00181 .01673 (109*2π)/1902 weeks
110.00886 .00772 (110*2π)/1902 weeks
111.00715 -.00365 (111*2π)/1902 weeks
112.00614 -.01004 (112*2π)/1902 weeks
113-.00853 -.01685 (113*2π)/1902 weeks
114-.02439 -.01148 (114*2π)/1902 weeks
115-.03098 -.00312 (115*2π)/1902 weeks
116-.03433 .00885 (116*2π)/1902 weeks
117-.02261 .01658 (117*2π)/1902 weeks
118-.01477 .02062 (118*2π)/1902 weeks
119-.00788 .01382 (119*2π)/1902 weeks
120.00135 .0123 (120*2π)/1902 weeks
121-.00289 .0059 (121*2π)/1902 weeks
122-.01522 -.00216 (122*2π)/1902 weeks
123-.01382 -.00214 (123*2π)/1902 weeks
124-.02416 -.00016 (124*2π)/1902 weeks
125-.02196 .01029 (125*2π)/1902 weeks
126-.0233 .01715 (126*2π)/1902 weeks
127-.01367 .01544 (127*2π)/1901 weeks
128.00103 .02058 (128*2π)/1901 weeks
129.00311 .01231 (129*2π)/1901 weeks
130.00093 .00203 (130*2π)/1901 weeks
131-.00785 -.00519 (131*2π)/1901 weeks
132-.01429 -.01294 (132*2π)/1901 weeks
133-.02546 -.00258 (133*2π)/1901 weeks
134-.03549 .00411 (134*2π)/1901 weeks
135-.02518 .01669 (135*2π)/1901 weeks
136-.02071 .02636 (136*2π)/1901 weeks
137-.00817 .02222 (137*2π)/1901 weeks
138-.0017 .02716 (138*2π)/1901 weeks
139-.00225 .01365 (139*2π)/1901 weeks
140.00058 .01533 (140*2π)/1901 weeks
141-.00431 .01243 (141*2π)/1901 weeks
142-.00861 .00572 (142*2π)/1901 weeks
143-.00136 .01641 (143*2π)/1901 weeks
144.00212 .01348 (144*2π)/1901 weeks
145-.00391 .01185 (145*2π)/1901 weeks
146-.00318 .02049 (146*2π)/1901 weeks
147-.0055 .00425 (147*2π)/1901 weeks
148-.0142 .00843 (148*2π)/1901 weeks
149-.00768 .00749 (149*2π)/1901 weeks
150-.01022 -.00176 (150*2π)/1901 weeks
151-.0203 .00665 (151*2π)/1901 weeks
152-.01535 .00678 (152*2π)/1901 weeks
153-.02111 .0084 (153*2π)/1901 weeks
154-.02056 .02274 (154*2π)/1901 weeks
155-.01192 .01779 (155*2π)/1901 weeks
156-.0194 .02406 (156*2π)/1901 weeks
157-.01095 .02617 (157*2π)/1901 weeks
158-.0015 .01908 (158*2π)/1901 weeks
159-.00365 .01924 (159*2π)/1901 weeks
160.00133 .01766 (160*2π)/1901 weeks
161-.00665 .01197 (161*2π)/1901 weeks
162-.01329 .01271 (162*2π)/1901 weeks
163-.02446 .00337 (163*2π)/1901 weeks
164-.04083 .00293 (164*2π)/1901 weeks
165-.03977 .02551 (165*2π)/1901 weeks
166-.03834 .04147 (166*2π)/1901 weeks
167-.02407 .07006 (167*2π)/1901 weeks
168.00401 .07503 (168*2π)/1901 weeks
169.02503 .06665 (169*2π)/1901 weeks
170.03777 .04759 (170*2π)/1901 weeks
171.04012 .01638 (171*2π)/1901 weeks
172.01006 -.00488 (172*2π)/1901 weeks
173-.00421 -.00727 (173*2π)/1901 weeks
174-.03774 .00112 (174*2π)/1901 weeks
175-.0491 .02912 (175*2π)/1901 weeks
176-.03583 .06656 (176*2π)/1901 weeks
177-.03166 .07571 (177*2π)/1901 weeks
178.00677 .09673 (178*2π)/1901 weeks
179.01911 .07176 (179*2π)/1901 weeks
180-.00605 .0206 (180*2π)/1901 weeks
181-.00049 .03055 (181*2π)/1901 weeks
182-.0277 -.00476 (182*2π)/1901 weeks
183-.07321 .05163 (183*2π)/1901 weeks
184-.08471 .14242 (184*2π)/1901 weeks
185-.06487 .19582 (185*2π)/1901 weeks
186.0215 .30282 (186*2π)/1901 weeks
187.14147 .28385 (187*2π)/1901 weeks
188.26447 .22835 (188*2π)/1901 weeks

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