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Fourier Analysis of ELLI (Ellie Mae, Inc. Common Stock)


ELLI (Ellie Mae, Inc. Common Stock) appears to have interesting cyclic behaviour every 30 weeks (2.251*sine), 19 weeks (2.2366*sine), and 30 weeks (1.8207*cosine).

ELLI (Ellie Mae, Inc. Common Stock) has an average price of 40.42 (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 4/15/2011 to 1/9/2017 for ELLI (Ellie Mae, Inc. Common Stock), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
040.42392   0 
19.62258 -28.81056 (1*2π)/301301 weeks
2-3.38799 -18.4073 (2*2π)/301151 weeks
31.6066 -10.03826 (3*2π)/301100 weeks
41.79155 -10.19699 (4*2π)/30175 weeks
5-1.96892 -5.84561 (5*2π)/30160 weeks
6-3.35419 -3.58308 (6*2π)/30150 weeks
7-.09824 -2.98692 (7*2π)/30143 weeks
8.08071 -3.72054 (8*2π)/30138 weeks
9-1.27642 -3.62236 (9*2π)/30133 weeks
10-1.82067 -2.25097 (10*2π)/30130 weeks
11-1.71183 -1.2469 (11*2π)/30127 weeks
12.39168 -.75975 (12*2π)/30125 weeks
13.01623 -1.08921 (13*2π)/30123 weeks
14.20231 -1.6557 (14*2π)/30122 weeks
15-.62 -1.3297 (15*2π)/30120 weeks
16-.24642 -2.23656 (16*2π)/30119 weeks
17-.5978 -1.09965 (17*2π)/30118 weeks
18-.65759 -.04922 (18*2π)/30117 weeks
19-.11485 -.81663 (19*2π)/30116 weeks
20.62716 -.9026 (20*2π)/30115 weeks
21.2197 -.92215 (21*2π)/30114 weeks
22.03581 -1.0805 (22*2π)/30114 weeks
23.00382 -1.06669 (23*2π)/30113 weeks
24.60241 -1.06057 (24*2π)/30113 weeks
25-.45416 -1.59755 (25*2π)/30112 weeks
26.07974 -.93908 (26*2π)/30112 weeks
27-.07986 -1.11743 (27*2π)/30111 weeks
28-.09933 -.92044 (28*2π)/30111 weeks
29-.53549 -1.19312 (29*2π)/30110 weeks
30-.21686 -1.01807 (30*2π)/30110 weeks
31-.30835 -.73752 (31*2π)/30110 weeks
32-.26023 -1.06013 (32*2π)/3019 weeks
33-.38817 -.80195 (33*2π)/3019 weeks
34-.41114 -1.06088 (34*2π)/3019 weeks
35-.71176 -.61381 (35*2π)/3019 weeks
36-.37635 -.53499 (36*2π)/3018 weeks
37-.2911 -.71572 (37*2π)/3018 weeks
38-.32949 -.58233 (38*2π)/3018 weeks
39-.32349 -.8714 (39*2π)/3018 weeks
40-.29984 -.46738 (40*2π)/3018 weeks
41-.79206 -.57386 (41*2π)/3017 weeks
42-.40669 -.26725 (42*2π)/3017 weeks
43-.19253 -.22715 (43*2π)/3017 weeks
44-.03583 -.24582 (44*2π)/3017 weeks
45-.14013 -.29851 (45*2π)/3017 weeks
46-.28569 -.72366 (46*2π)/3017 weeks
47-.20596 -.50069 (47*2π)/3016 weeks
48-.36359 -.71859 (48*2π)/3016 weeks
49-.7106 -.16348 (49*2π)/3016 weeks
50-.37585 .00469 (50*2π)/3016 weeks
51.06171 -.06374 (51*2π)/3016 weeks
52.0595 -.49018 (52*2π)/3016 weeks
53-.06372 -.39849 (53*2π)/3016 weeks
54-.15567 -.33762 (54*2π)/3016 weeks
55-.16434 -.51319 (55*2π)/3015 weeks
56-.06422 -.32971 (56*2π)/3015 weeks
57.07091 -.60156 (57*2π)/3015 weeks
58-.36765 -.57598 (58*2π)/3015 weeks
59-.40891 -.56519 (59*2π)/3015 weeks
60-.19587 -.37706 (60*2π)/3015 weeks
61-.21653 -.53548 (61*2π)/3015 weeks
62-.37294 -.34725 (62*2π)/3015 weeks
63-.47435 -.21129 (63*2π)/3015 weeks
64-.21738 -.69329 (64*2π)/3015 weeks
65-.34323 -.26677 (65*2π)/3015 weeks
66-.43593 -.40505 (66*2π)/3015 weeks
67-.48539 -.27921 (67*2π)/3014 weeks
68-.60148 -.26262 (68*2π)/3014 weeks
69-.33335 .08705 (69*2π)/3014 weeks
70-.20398 -.11481 (70*2π)/3014 weeks
71-.26628 -.25296 (71*2π)/3014 weeks
72-.2531 -.25153 (72*2π)/3014 weeks
73-.34884 -.04408 (73*2π)/3014 weeks
74-.36763 -.02615 (74*2π)/3014 weeks
75.07569 -.06546 (75*2π)/3014 weeks
76-.05922 -.07911 (76*2π)/3014 weeks
77.01221 -.37188 (77*2π)/3014 weeks
78-.16735 -.41997 (78*2π)/3014 weeks
79-.27996 -.26198 (79*2π)/3014 weeks
80-.09573 -.1186 (80*2π)/3014 weeks
81-.10592 -.46873 (81*2π)/3014 weeks
82-.23048 -.43774 (82*2π)/3014 weeks
83-.55912 -.08348 (83*2π)/3014 weeks
84-.27495 -.26809 (84*2π)/3014 weeks
85-.19498 -.25136 (85*2π)/3014 weeks
86-.24959 -.13837 (86*2π)/3014 weeks
87-.21378 -.28469 (87*2π)/3013 weeks
88-.36278 -.32259 (88*2π)/3013 weeks
89-.27953 -.02459 (89*2π)/3013 weeks
90-.27114 -.06749 (90*2π)/3013 weeks
91-.17221 -.3118 (91*2π)/3013 weeks
92-.28121 -.14177 (92*2π)/3013 weeks
93-.20926 -.04494 (93*2π)/3013 weeks
94-.09482 -.20805 (94*2π)/3013 weeks
95-.25694 -.35254 (95*2π)/3013 weeks
96-.39315 -.1669 (96*2π)/3013 weeks
97-.39412 -.28321 (97*2π)/3013 weeks
98-.39316 -.14819 (98*2π)/3013 weeks
99-.34287 .04109 (99*2π)/3013 weeks
100-.16586 -.06874 (100*2π)/3013 weeks
101-.30619 -.12607 (101*2π)/3013 weeks
102-.23531 -.04374 (102*2π)/3013 weeks
103-.14344 -.09673 (103*2π)/3013 weeks
104-.27702 -.23693 (104*2π)/3013 weeks
105-.26191 -.09447 (105*2π)/3013 weeks
106-.2557 -.00496 (106*2π)/3013 weeks
107-.10809 -.16538 (107*2π)/3013 weeks
108-.2394 -.14458 (108*2π)/3013 weeks
109-.30004 -.27812 (109*2π)/3013 weeks
110-.28579 .08699 (110*2π)/3013 weeks
111-.34237 -.16784 (111*2π)/3013 weeks
112-.246 .05108 (112*2π)/3013 weeks
113-.09663 -.12536 (113*2π)/3013 weeks
114-.19935 -.15387 (114*2π)/3013 weeks
115-.38717 -.08545 (115*2π)/3013 weeks
116-.13465 .03614 (116*2π)/3013 weeks
117-.08793 -.07894 (117*2π)/3013 weeks
118-.219 -.35674 (118*2π)/3013 weeks
119-.35001 -.21402 (119*2π)/3013 weeks
120-.27574 -.24627 (120*2π)/3013 weeks
121-.4863 -.0004 (121*2π)/3012 weeks
122-.39456 .11301 (122*2π)/3012 weeks
123-.18301 .05805 (123*2π)/3012 weeks
124-.12757 -.07491 (124*2π)/3012 weeks
125-.08815 -.1959 (125*2π)/3012 weeks
126-.42663 -.05604 (126*2π)/3012 weeks
127-.28791 -.08739 (127*2π)/3012 weeks
128-.07774 -.08603 (128*2π)/3012 weeks
129-.41273 -.05937 (129*2π)/3012 weeks
130-.23881 -.11059 (130*2π)/3012 weeks
131-.36649 -.10085 (131*2π)/3012 weeks
132-.38313 -.0601 (132*2π)/3012 weeks
133-.29679 .06424 (133*2π)/3012 weeks
134-.23705 .02261 (134*2π)/3012 weeks
135-.32109 .07355 (135*2π)/3012 weeks
136-.19627 -.04311 (136*2π)/3012 weeks
137-.21937 -.08077 (137*2π)/3012 weeks
138-.26733 -.02396 (138*2π)/3012 weeks
139-.3664 .04044 (139*2π)/3012 weeks
140-.26859 .07718 (140*2π)/3012 weeks
141-.20458 -.05354 (141*2π)/3012 weeks
142-.23621 .02701 (142*2π)/3012 weeks
143-.30102 .15879 (143*2π)/3012 weeks
144-.10728 .02594 (144*2π)/3012 weeks
145-.22659 -.0714 (145*2π)/3012 weeks
146-.35588 -.0005 (146*2π)/3012 weeks
147-.11587 .16478 (147*2π)/3012 weeks
148-.10578 .17828 (148*2π)/3012 weeks
149-.23885 -.06244 (149*2π)/3012 weeks
150-.08614 -.07199 (150*2π)/3012 weeks
151-.08614 .07199 (151*2π)/3012 weeks
152-.23885 .06244 (152*2π)/3012 weeks
153-.10578 -.17828 (153*2π)/3012 weeks
154-.11587 -.16478 (154*2π)/3012 weeks
155-.35588 .0005 (155*2π)/3012 weeks
156-.22659 .0714 (156*2π)/3012 weeks
157-.10728 -.02594 (157*2π)/3012 weeks
158-.30102 -.15879 (158*2π)/3012 weeks
159-.23621 -.02701 (159*2π)/3012 weeks
160-.20458 .05354 (160*2π)/3012 weeks
161-.26859 -.07718 (161*2π)/3012 weeks
162-.3664 -.04044 (162*2π)/3012 weeks
163-.26733 .02396 (163*2π)/3012 weeks
164-.21937 .08077 (164*2π)/3012 weeks
165-.19627 .04311 (165*2π)/3012 weeks
166-.32109 -.07355 (166*2π)/3012 weeks
167-.23705 -.02261 (167*2π)/3012 weeks
168-.29679 -.06424 (168*2π)/3012 weeks
169-.38313 .0601 (169*2π)/3012 weeks
170-.36649 .10085 (170*2π)/3012 weeks
171-.23881 .11059 (171*2π)/3012 weeks
172-.41273 .05937 (172*2π)/3012 weeks
173-.07774 .08603 (173*2π)/3012 weeks
174-.28791 .08739 (174*2π)/3012 weeks
175-.42663 .05604 (175*2π)/3012 weeks
176-.08815 .1959 (176*2π)/3012 weeks
177-.12757 .07491 (177*2π)/3012 weeks
178-.18301 -.05805 (178*2π)/3012 weeks
179-.39456 -.11301 (179*2π)/3012 weeks
180-.4863 .0004 (180*2π)/3012 weeks
181-.27574 .24627 (181*2π)/3012 weeks
182-.35001 .21402 (182*2π)/3012 weeks
183-.219 .35674 (183*2π)/3012 weeks
184-.08793 .07894 (184*2π)/3012 weeks
185-.13465 -.03614 (185*2π)/3012 weeks
186-.38717 .08545 (186*2π)/3012 weeks
187-.19935 .15387 (187*2π)/3012 weeks
188-.09663 .12536 (188*2π)/3012 weeks
189-.246 -.05108 (189*2π)/3012 weeks
190-.34237 .16784 (190*2π)/3012 weeks
191-.28579 -.08699 (191*2π)/3012 weeks
192-.30004 .27812 (192*2π)/3012 weeks
193-.2394 .14458 (193*2π)/3012 weeks
194-.10809 .16538 (194*2π)/3012 weeks
195-.2557 .00496 (195*2π)/3012 weeks
196-.26191 .09447 (196*2π)/3012 weeks
197-.27702 .23693 (197*2π)/3012 weeks
198-.14344 .09673 (198*2π)/3012 weeks
199-.23531 .04374 (199*2π)/3012 weeks
200-.30619 .12607 (200*2π)/3012 weeks
201-.16586 .06874 (201*2π)/3011 weeks
202-.34287 -.04109 (202*2π)/3011 weeks
203-.39316 .14819 (203*2π)/3011 weeks
204-.39412 .28321 (204*2π)/3011 weeks
205-.39315 .1669 (205*2π)/3011 weeks
206-.25694 .35254 (206*2π)/3011 weeks
207-.09482 .20805 (207*2π)/3011 weeks
208-.20926 .04494 (208*2π)/3011 weeks
209-.28121 .14177 (209*2π)/3011 weeks
210-.17221 .3118 (210*2π)/3011 weeks
211-.27114 .06749 (211*2π)/3011 weeks
212-.27953 .02459 (212*2π)/3011 weeks
213-.36278 .32259 (213*2π)/3011 weeks
214-.21378 .28469 (214*2π)/3011 weeks
215-.24959 .13837 (215*2π)/3011 weeks
216-.19498 .25136 (216*2π)/3011 weeks
217-.27495 .26809 (217*2π)/3011 weeks
218-.55912 .08348 (218*2π)/3011 weeks
219-.23048 .43774 (219*2π)/3011 weeks
220-.10592 .46873 (220*2π)/3011 weeks
221-.09573 .1186 (221*2π)/3011 weeks
222-.27996 .26198 (222*2π)/3011 weeks
223-.16735 .41997 (223*2π)/3011 weeks
224.01221 .37188 (224*2π)/3011 weeks
225-.05922 .07911 (225*2π)/3011 weeks
226.07569 .06546 (226*2π)/3011 weeks
227-.36763 .02615 (227*2π)/3011 weeks
228-.34884 .04408 (228*2π)/3011 weeks
229-.2531 .25153 (229*2π)/3011 weeks
230-.26628 .25296 (230*2π)/3011 weeks
231-.20398 .11481 (231*2π)/3011 weeks
232-.33335 -.08705 (232*2π)/3011 weeks
233-.60148 .26262 (233*2π)/3011 weeks
234-.48539 .27921 (234*2π)/3011 weeks
235-.43593 .40505 (235*2π)/3011 weeks
236-.34323 .26677 (236*2π)/3011 weeks
237-.21738 .69329 (237*2π)/3011 weeks
238-.47435 .21129 (238*2π)/3011 weeks
239-.37294 .34725 (239*2π)/3011 weeks
240-.21653 .53548 (240*2π)/3011 weeks
241-.19587 .37706 (241*2π)/3011 weeks
242-.40891 .56519 (242*2π)/3011 weeks
243-.36765 .57598 (243*2π)/3011 weeks
244.07091 .60156 (244*2π)/3011 weeks
245-.06422 .32971 (245*2π)/3011 weeks
246-.16434 .51319 (246*2π)/3011 weeks
247-.15567 .33762 (247*2π)/3011 weeks
248-.06372 .39849 (248*2π)/3011 weeks
249.0595 .49018 (249*2π)/3011 weeks
250.06171 .06374 (250*2π)/3011 weeks
251-.37585 -.00469 (251*2π)/3011 weeks
252-.7106 .16348 (252*2π)/3011 weeks
253-.36359 .71859 (253*2π)/3011 weeks
254-.20596 .50069 (254*2π)/3011 weeks
255-.28569 .72366 (255*2π)/3011 weeks
256-.14013 .29851 (256*2π)/3011 weeks
257-.03583 .24582 (257*2π)/3011 weeks
258-.19253 .22715 (258*2π)/3011 weeks
259-.40669 .26725 (259*2π)/3011 weeks
260-.79206 .57386 (260*2π)/3011 weeks
261-.29984 .46738 (261*2π)/3011 weeks
262-.32349 .8714 (262*2π)/3011 weeks
263-.32949 .58233 (263*2π)/3011 weeks
264-.2911 .71572 (264*2π)/3011 weeks
265-.37635 .53499 (265*2π)/3011 weeks
266-.71176 .61381 (266*2π)/3011 weeks
267-.41114 1.06088 (267*2π)/3011 weeks
268-.38817 .80195 (268*2π)/3011 weeks
269-.26023 1.06013 (269*2π)/3011 weeks
270-.30835 .73752 (270*2π)/3011 weeks
271-.21686 1.01807 (271*2π)/3011 weeks
272-.53549 1.19312 (272*2π)/3011 weeks
273-.09933 .92044 (273*2π)/3011 weeks
274-.07986 1.11743 (274*2π)/3011 weeks
275.07974 .93908 (275*2π)/3011 weeks
276-.45416 1.59755 (276*2π)/3011 weeks
277.60241 1.06057 (277*2π)/3011 weeks
278.00382 1.06669 (278*2π)/3011 weeks
279.03581 1.0805 (279*2π)/3011 weeks
280.2197 .92215 (280*2π)/3011 weeks
281.62716 .9026 (281*2π)/3011 weeks
282-.11485 .81663 (282*2π)/3011 weeks
283-.65759 .04922 (283*2π)/3011 weeks
284-.5978 1.09965 (284*2π)/3011 weeks
285-.24642 2.23656 (285*2π)/3011 weeks
286-.62 1.3297 (286*2π)/3011 weeks
287.20231 1.6557 (287*2π)/3011 weeks
288.01623 1.08921 (288*2π)/3011 weeks
289.39168 .75975 (289*2π)/3011 weeks
290-1.71183 1.2469 (290*2π)/3011 weeks
291-1.82067 2.25097 (291*2π)/3011 weeks
292-1.27642 3.62236 (292*2π)/3011 weeks
293.08071 3.72054 (293*2π)/3011 weeks
294-.09824 2.98692 (294*2π)/3011 weeks
295-3.35419 3.58308 (295*2π)/3011 weeks
296-1.96892 5.84561 (296*2π)/3011 weeks
2971.79155 10.19699 (297*2π)/3011 weeks
2981.6066 10.03826 (298*2π)/3011 weeks
299-3.38799 18.4073 (299*2π)/3011 weeks

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