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# Fourier Analysis of DSL (DoubleLine Income Solutions Fund)

DSL (DoubleLine Income Solutions Fund) appears to have interesting cyclic behaviour every 20 weeks (.178*sine), 26 weeks (.133*sine), and 10 weeks (.0991*cosine).

DSL (DoubleLine Income Solutions Fund) has an average price of 15.89 (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 4/26/2013 to 4/16/2018 for DSL (DoubleLine Income Solutions Fund), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
015.89311   0
11.51726 -1.84767 (1*2π)/261261 weeks
2-.46647 -1.69998 (2*2π)/261131 weeks
3.20086 -.63962 (3*2π)/26187 weeks
4.01007 -.72503 (4*2π)/26165 weeks
5.30376 .08495 (5*2π)/26152 weeks
6.08209 -.38353 (6*2π)/26144 weeks
7-.02505 -.18102 (7*2π)/26137 weeks
8.12262 -.05644 (8*2π)/26133 weeks
9.06359 -.23252 (9*2π)/26129 weeks
10.09698 -.13303 (10*2π)/26126 weeks
11-.06069 -.07669 (11*2π)/26124 weeks
12.04439 -.07806 (12*2π)/26122 weeks
13.01672 -.17799 (13*2π)/26120 weeks
14-.03063 .01401 (14*2π)/26119 weeks
15-.02754 -.00666 (15*2π)/26117 weeks
16-.00061 -.07266 (16*2π)/26116 weeks
17.04155 -.07277 (17*2π)/26115 weeks
18-.01597 -.10008 (18*2π)/26115 weeks
19.05979 -.0831 (19*2π)/26114 weeks
20.06391 -.08473 (20*2π)/26113 weeks
21-.01326 -.11001 (21*2π)/26112 weeks
22.01095 -.10173 (22*2π)/26112 weeks
23-.06207 -.00582 (23*2π)/26111 weeks
24-.06039 -.02954 (24*2π)/26111 weeks
25-.05046 -.01817 (25*2π)/26110 weeks
26.00306 -.04994 (26*2π)/26110 weeks
27-.0991 -.0839 (27*2π)/26110 weeks
28-.04666 -.03865 (28*2π)/2619 weeks
29.00821 -.06605 (29*2π)/2619 weeks
30-.01628 -.01992 (30*2π)/2619 weeks
31-.07695 -.04421 (31*2π)/2618 weeks
32-.03983 -.01122 (32*2π)/2618 weeks
33-.00899 -.02807 (33*2π)/2618 weeks
34-.03442 -.07087 (34*2π)/2618 weeks
35-.00923 -.05396 (35*2π)/2617 weeks
36-.01038 -.0309 (36*2π)/2617 weeks
37-.02808 -.05702 (37*2π)/2617 weeks
38-.01114 -.03295 (38*2π)/2617 weeks
39-.02576 -.02332 (39*2π)/2617 weeks
40-.01104 -.07171 (40*2π)/2617 weeks
41-.01174 -.05878 (41*2π)/2616 weeks
42-.01493 -.02509 (42*2π)/2616 weeks
43-.02415 -.06743 (43*2π)/2616 weeks
44-.04437 -.03818 (44*2π)/2616 weeks
45-.00866 -.01301 (45*2π)/2616 weeks
46-.00815 -.0316 (46*2π)/2616 weeks
47.00702 -.04072 (47*2π)/2616 weeks
48.00409 -.04949 (48*2π)/2615 weeks
49-.03543 -.00423 (49*2π)/2615 weeks
50-.00102 -.03342 (50*2π)/2615 weeks
51-.02567 .01111 (51*2π)/2615 weeks
52-.01206 -.02405 (52*2π)/2615 weeks
53-.01181 .00295 (53*2π)/2615 weeks
54-.00715 -.03971 (54*2π)/2615 weeks
55-.07885 -.0256 (55*2π)/2615 weeks
56-.01284 -.05625 (56*2π)/2615 weeks
57-.01224 -.02646 (57*2π)/2615 weeks
58-.01451 -.05567 (58*2π)/2615 weeks
59-.02954 -.02729 (59*2π)/2614 weeks
60.00427 .00499 (60*2π)/2614 weeks
61.00221 -.0127 (61*2π)/2614 weeks
62-.03268 -.01928 (62*2π)/2614 weeks
63-.01812 .0127 (63*2π)/2614 weeks
64-.04653 -.01806 (64*2π)/2614 weeks
65-.03063 -.01503 (65*2π)/2614 weeks
66-.01895 .00757 (66*2π)/2614 weeks
67-.02688 -.02717 (67*2π)/2614 weeks
68-.02473 -.02746 (68*2π)/2614 weeks
69-.00676 -.01806 (69*2π)/2614 weeks
70-.02595 -.01249 (70*2π)/2614 weeks
71-.03609 -.01636 (71*2π)/2614 weeks
72-.0098 -.00502 (72*2π)/2614 weeks
73-.01577 -.00145 (73*2π)/2614 weeks
74-.02143 -.00785 (74*2π)/2614 weeks
75-.0208 -.0226 (75*2π)/2613 weeks
76-.03851 .01936 (76*2π)/2613 weeks
77-.02003 -.02779 (77*2π)/2613 weeks
78-.03613 -.0155 (78*2π)/2613 weeks
79-.03732 -.03577 (79*2π)/2613 weeks
80-.03949 -.02326 (80*2π)/2613 weeks
81.00077 -.02237 (81*2π)/2613 weeks
82.00134 -.00187 (82*2π)/2613 weeks
83.0184 -.04251 (83*2π)/2613 weeks
84-.01589 -.03009 (84*2π)/2613 weeks
85.00698 -.01223 (85*2π)/2613 weeks
86-.01463 -.02549 (86*2π)/2613 weeks
87.00282 -.01423 (87*2π)/2613 weeks
88-.01322 -.01213 (88*2π)/2613 weeks
89-.00289 -.0077 (89*2π)/2613 weeks
90-.02302 -.01344 (90*2π)/2613 weeks
91-.0029 -.00448 (91*2π)/2613 weeks
92-.02539 -.01357 (92*2π)/2613 weeks
93-.03732 .00659 (93*2π)/2613 weeks
94-.00387 .01217 (94*2π)/2613 weeks
95-.02433 -.01605 (95*2π)/2613 weeks
96-.02533 -.0077 (96*2π)/2613 weeks
97-.02515 -.01012 (97*2π)/2613 weeks
98-.01189 -.00209 (98*2π)/2613 weeks
99-.052 -.02409 (99*2π)/2613 weeks
100.01083 -.01508 (100*2π)/2613 weeks
101-.03182 -.00612 (101*2π)/2613 weeks
102-.00898 -.00864 (102*2π)/2613 weeks
103-.03209 -.01594 (103*2π)/2613 weeks
104-.00925 .00175 (104*2π)/2613 weeks
105-.03633 -.00395 (105*2π)/2612 weeks
106-.02436 -.01874 (106*2π)/2612 weeks
107-.02907 -.0107 (107*2π)/2612 weeks
108-.02158 -.00886 (108*2π)/2612 weeks
109-.01383 -.02053 (109*2π)/2612 weeks
110-.0302 -.01801 (110*2π)/2612 weeks
111-.02222 -.00596 (111*2π)/2612 weeks
112-.00961 -.00487 (112*2π)/2612 weeks
113-.02739 .00014 (113*2π)/2612 weeks
114-.02191 -.01581 (114*2π)/2612 weeks
115.00144 .00278 (115*2π)/2612 weeks
116-.02618 .00537 (116*2π)/2612 weeks
117-.0106 -.01189 (117*2π)/2612 weeks
118-.01795 -.01506 (118*2π)/2612 weeks
119.00094 -.00149 (119*2π)/2612 weeks
120-.02215 .00496 (120*2π)/2612 weeks
121-.00637 .01316 (121*2π)/2612 weeks
122-.01414 -.00358 (122*2π)/2612 weeks
123-.01889 .00836 (123*2π)/2612 weeks
124-.00914 .00169 (124*2π)/2612 weeks
125-.02271 .02063 (125*2π)/2612 weeks
126-.0111 .0066 (126*2π)/2612 weeks
127-.03645 .0116 (127*2π)/2612 weeks
128-.02172 -.00488 (128*2π)/2612 weeks
129-.03404 .02285 (129*2π)/2612 weeks
130-.02155 .00176 (130*2π)/2612 weeks
131-.02155 -.00176 (131*2π)/2612 weeks
132-.03404 -.02285 (132*2π)/2612 weeks
133-.02172 .00488 (133*2π)/2612 weeks
134-.03645 -.0116 (134*2π)/2612 weeks
135-.0111 -.0066 (135*2π)/2612 weeks
136-.02271 -.02063 (136*2π)/2612 weeks
137-.00914 -.00169 (137*2π)/2612 weeks
138-.01889 -.00836 (138*2π)/2612 weeks
139-.01414 .00358 (139*2π)/2612 weeks
140-.00637 -.01316 (140*2π)/2612 weeks
141-.02215 -.00496 (141*2π)/2612 weeks
142.00094 .00149 (142*2π)/2612 weeks
143-.01795 .01506 (143*2π)/2612 weeks
144-.0106 .01189 (144*2π)/2612 weeks
145-.02618 -.00537 (145*2π)/2612 weeks
146.00144 -.00278 (146*2π)/2612 weeks
147-.02191 .01581 (147*2π)/2612 weeks
148-.02739 -.00014 (148*2π)/2612 weeks
149-.00961 .00487 (149*2π)/2612 weeks
150-.02222 .00596 (150*2π)/2612 weeks
151-.0302 .01801 (151*2π)/2612 weeks
152-.01383 .02053 (152*2π)/2612 weeks
153-.02158 .00886 (153*2π)/2612 weeks
154-.02907 .0107 (154*2π)/2612 weeks
155-.02436 .01874 (155*2π)/2612 weeks
156-.03633 .00395 (156*2π)/2612 weeks
157-.00925 -.00175 (157*2π)/2612 weeks
158-.03209 .01594 (158*2π)/2612 weeks
159-.00898 .00864 (159*2π)/2612 weeks
160-.03182 .00612 (160*2π)/2612 weeks
161.01083 .01508 (161*2π)/2612 weeks
162-.052 .02409 (162*2π)/2612 weeks
163-.01189 .00209 (163*2π)/2612 weeks
164-.02515 .01012 (164*2π)/2612 weeks
165-.02533 .0077 (165*2π)/2612 weeks
166-.02433 .01605 (166*2π)/2612 weeks
167-.00387 -.01217 (167*2π)/2612 weeks
168-.03732 -.00659 (168*2π)/2612 weeks
169-.02539 .01357 (169*2π)/2612 weeks
170-.0029 .00448 (170*2π)/2612 weeks
171-.02302 .01344 (171*2π)/2612 weeks
172-.00289 .0077 (172*2π)/2612 weeks
173-.01322 .01213 (173*2π)/2612 weeks
174.00282 .01423 (174*2π)/2612 weeks
175-.01463 .02549 (175*2π)/2611 weeks
176.00698 .01223 (176*2π)/2611 weeks
177-.01589 .03009 (177*2π)/2611 weeks
178.0184 .04251 (178*2π)/2611 weeks
179.00134 .00187 (179*2π)/2611 weeks
180.00077 .02237 (180*2π)/2611 weeks
181-.03949 .02326 (181*2π)/2611 weeks
182-.03732 .03577 (182*2π)/2611 weeks
183-.03613 .0155 (183*2π)/2611 weeks
184-.02003 .02779 (184*2π)/2611 weeks
185-.03851 -.01936 (185*2π)/2611 weeks
186-.0208 .0226 (186*2π)/2611 weeks
187-.02143 .00785 (187*2π)/2611 weeks
188-.01577 .00145 (188*2π)/2611 weeks
189-.0098 .00502 (189*2π)/2611 weeks
190-.03609 .01636 (190*2π)/2611 weeks
191-.02595 .01249 (191*2π)/2611 weeks
192-.00676 .01806 (192*2π)/2611 weeks
193-.02473 .02746 (193*2π)/2611 weeks
194-.02688 .02717 (194*2π)/2611 weeks
195-.01895 -.00757 (195*2π)/2611 weeks
196-.03063 .01503 (196*2π)/2611 weeks
197-.04653 .01806 (197*2π)/2611 weeks
198-.01812 -.0127 (198*2π)/2611 weeks
199-.03268 .01928 (199*2π)/2611 weeks
200.00221 .0127 (200*2π)/2611 weeks
201.00427 -.00499 (201*2π)/2611 weeks
202-.02954 .02729 (202*2π)/2611 weeks
203-.01451 .05567 (203*2π)/2611 weeks
204-.01224 .02646 (204*2π)/2611 weeks
205-.01284 .05625 (205*2π)/2611 weeks
206-.07885 .0256 (206*2π)/2611 weeks
207-.00715 .03971 (207*2π)/2611 weeks
208-.01181 -.00295 (208*2π)/2611 weeks
209-.01206 .02405 (209*2π)/2611 weeks
210-.02567 -.01111 (210*2π)/2611 weeks
211-.00102 .03342 (211*2π)/2611 weeks
212-.03543 .00423 (212*2π)/2611 weeks
213.00409 .04949 (213*2π)/2611 weeks
214.00702 .04072 (214*2π)/2611 weeks
215-.00815 .0316 (215*2π)/2611 weeks
216-.00866 .01301 (216*2π)/2611 weeks
217-.04437 .03818 (217*2π)/2611 weeks
218-.02415 .06743 (218*2π)/2611 weeks
219-.01493 .02509 (219*2π)/2611 weeks
220-.01174 .05878 (220*2π)/2611 weeks
221-.01104 .07171 (221*2π)/2611 weeks
222-.02576 .02332 (222*2π)/2611 weeks
223-.01114 .03295 (223*2π)/2611 weeks
224-.02808 .05702 (224*2π)/2611 weeks
225-.01038 .0309 (225*2π)/2611 weeks
226-.00923 .05396 (226*2π)/2611 weeks
227-.03442 .07087 (227*2π)/2611 weeks
228-.00899 .02807 (228*2π)/2611 weeks
229-.03983 .01122 (229*2π)/2611 weeks
230-.07695 .04421 (230*2π)/2611 weeks
231-.01628 .01992 (231*2π)/2611 weeks
232.00821 .06605 (232*2π)/2611 weeks
233-.04666 .03865 (233*2π)/2611 weeks
234-.0991 .0839 (234*2π)/2611 weeks
235.00306 .04994 (235*2π)/2611 weeks
236-.05046 .01817 (236*2π)/2611 weeks
237-.06039 .02954 (237*2π)/2611 weeks
238-.06207 .00582 (238*2π)/2611 weeks
239.01095 .10173 (239*2π)/2611 weeks
240-.01326 .11001 (240*2π)/2611 weeks
241.06391 .08473 (241*2π)/2611 weeks
242.05979 .0831 (242*2π)/2611 weeks
243-.01597 .10008 (243*2π)/2611 weeks
244.04155 .07277 (244*2π)/2611 weeks
245-.00061 .07266 (245*2π)/2611 weeks
246-.02754 .00666 (246*2π)/2611 weeks
247-.03063 -.01401 (247*2π)/2611 weeks
248.01672 .17799 (248*2π)/2611 weeks
249.04439 .07806 (249*2π)/2611 weeks
250-.06069 .07669 (250*2π)/2611 weeks
251.09698 .13303 (251*2π)/2611 weeks
252.06359 .23252 (252*2π)/2611 weeks
253.12262 .05644 (253*2π)/2611 weeks
254-.02505 .18102 (254*2π)/2611 weeks
255.08209 .38353 (255*2π)/2611 weeks
256.30376 -.08495 (256*2π)/2611 weeks
257.01007 .72503 (257*2π)/2611 weeks
258.20086 .63962 (258*2π)/2611 weeks
259-.46647 1.69998 (259*2π)/2611 weeks