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# Fourier Analysis of HWG (Hallwood Group Incorporated Com)

HWG (Hallwood Group Incorporated Com) appears to have interesting cyclic behaviour every 218 weeks (39.9561*sine), 198 weeks (36.8498*sine), and 218 weeks (11.6603*cosine).

HWG (Hallwood Group Incorporated Com) has an average price of 74.16 (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 6/1/1972 to 5/12/2014 for HWG (Hallwood Group Incorporated Com), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
074.15954   0
187.17574 18.73326 (1*2π)/21772,177 weeks
251.266 15.56493 (2*2π)/21771,089 weeks
347.61015 39.7648 (3*2π)/2177726 weeks
447.45858 52.91387 (4*2π)/2177544 weeks
554.60761 44.21993 (5*2π)/2177435 weeks
642.1672 40.61226 (6*2π)/2177363 weeks
721.8971 45.06414 (7*2π)/2177311 weeks
819.90263 47.83405 (8*2π)/2177272 weeks
914.09047 48.40659 (9*2π)/2177242 weeks
1011.66034 39.95607 (10*2π)/2177218 weeks
117.35704 36.84977 (11*2π)/2177198 weeks
122.3673 36.33051 (12*2π)/2177181 weeks
131.85608 31.51169 (13*2π)/2177167 weeks
14-1.68196 26.09609 (14*2π)/2177156 weeks
15-5.04491 22.69903 (15*2π)/2177145 weeks
16-6.5658 21.56194 (16*2π)/2177136 weeks
17-4.80215 19.16686 (17*2π)/2177128 weeks
18-1.22939 16.72546 (18*2π)/2177121 weeks
19-1.6903 15.48272 (19*2π)/2177115 weeks
20-2.69784 17.08902 (20*2π)/2177109 weeks
21-2.63555 13.21848 (21*2π)/2177104 weeks
221.70797 9.6238 (22*2π)/217799 weeks
232.05353 10.13881 (23*2π)/217795 weeks
24-2.29357 10.21739 (24*2π)/217791 weeks
25-1.50705 11.9573 (25*2π)/217787 weeks
26.63383 13.74529 (26*2π)/217784 weeks
271.75988 10.55449 (27*2π)/217781 weeks
281.20756 10.97648 (28*2π)/217778 weeks
29-1.14782 11.49474 (29*2π)/217775 weeks
30-.26493 11.88223 (30*2π)/217773 weeks
31-.08687 10.97188 (31*2π)/217770 weeks
32-1.12301 7.52819 (32*2π)/217768 weeks
33-2.8647 8.20941 (33*2π)/217766 weeks
34-4.05166 10.40232 (34*2π)/217764 weeks
35-1.59391 9.8904 (35*2π)/217762 weeks
36-.22527 8.58008 (36*2π)/217760 weeks
37-2.01087 5.93459 (37*2π)/217759 weeks
38-3.10656 5.11164 (38*2π)/217757 weeks
39-2.67456 6.43664 (39*2π)/217756 weeks
40-.61451 6.14519 (40*2π)/217754 weeks
41.55397 4.62512 (41*2π)/217753 weeks
42.8105 4.19337 (42*2π)/217752 weeks
43-1.46107 5.22384 (43*2π)/217751 weeks
44-.96929 6.3224 (44*2π)/217749 weeks
45.44509 6.31364 (45*2π)/217748 weeks
461.24998 5.12492 (46*2π)/217747 weeks
47-.30567 5.3165 (47*2π)/217746 weeks
48-3.00129 5.56962 (48*2π)/217745 weeks
49-3.14587 5.43312 (49*2π)/217744 weeks
50-1.65288 4.58492 (50*2π)/217744 weeks
51-.64658 2.77651 (51*2π)/217743 weeks
52.41997 1.06418 (52*2π)/217742 weeks
53-.04879 2.66271 (53*2π)/217741 weeks
54.06945 2.35986 (54*2π)/217740 weeks
551.7444 3.26985 (55*2π)/217740 weeks
561.64768 3.38737 (56*2π)/217739 weeks
571.89834 2.56131 (57*2π)/217738 weeks
581.2654 3.30968 (58*2π)/217738 weeks
591.49682 3.12874 (59*2π)/217737 weeks
603.06958 3.8592 (60*2π)/217736 weeks
612.53174 4.60338 (61*2π)/217736 weeks
621.63277 3.75639 (62*2π)/217735 weeks
63.99152 4.60685 (63*2π)/217735 weeks
641.64778 4.79512 (64*2π)/217734 weeks
652.72783 4.73793 (65*2π)/217733 weeks
662.28194 5.32455 (66*2π)/217733 weeks
67.96193 5.67485 (67*2π)/217732 weeks
68-.26362 6.08425 (68*2π)/217732 weeks
69-.03058 5.65362 (69*2π)/217732 weeks
70.12531 4.88305 (70*2π)/217731 weeks
71-.14807 4.95112 (71*2π)/217731 weeks
72-1.26597 5.11664 (72*2π)/217730 weeks
73-1.66513 3.70373 (73*2π)/217730 weeks
74-.74668 3.28042 (74*2π)/217729 weeks
75-.93225 3.10231 (75*2π)/217729 weeks
76-.85427 2.93726 (76*2π)/217729 weeks
77-.7697 3.18931 (77*2π)/217728 weeks
78-.91097 2.02535 (78*2π)/217728 weeks
79.36794 1.97937 (79*2π)/217728 weeks
80.2647 2.9929 (80*2π)/217727 weeks
81.02545 2.93414 (81*2π)/217727 weeks
82.50625 2.62315 (82*2π)/217727 weeks
83-.65966 2.29272 (83*2π)/217726 weeks
84-.88413 1.46033 (84*2π)/217726 weeks
85.06369 2.03009 (85*2π)/217726 weeks
86.98675 1.97048 (86*2π)/217725 weeks
871.88746 1.53616 (87*2π)/217725 weeks
881.13039 1.42456 (88*2π)/217725 weeks
89.32845 1.76029 (89*2π)/217724 weeks
901.29177 2.66826 (90*2π)/217724 weeks
912.71695 2.97708 (91*2π)/217724 weeks
922.70127 2.5791 (92*2π)/217724 weeks
931.81931 2.64166 (93*2π)/217723 weeks
94.77629 3.65515 (94*2π)/217723 weeks
95.57808 4.14575 (95*2π)/217723 weeks
961.09106 3.36555 (96*2π)/217723 weeks
971.02818 2.2388 (97*2π)/217722 weeks
98.64067 2.17926 (98*2π)/217722 weeks
99.74269 3.76431 (99*2π)/217722 weeks
100.9042 4.45416 (100*2π)/217722 weeks
1011.39542 3.70292 (101*2π)/217722 weeks
102.6694 3.23756 (102*2π)/217721 weeks
103-.32603 2.72811 (103*2π)/217721 weeks
104.03622 3.40946 (104*2π)/217721 weeks
105.00686 3.76066 (105*2π)/217721 weeks
106-.21978 3.00248 (106*2π)/217721 weeks
107-.67226 2.79287 (107*2π)/217720 weeks
108-.94392 2.60473 (108*2π)/217720 weeks
109-.24551 2.6722 (109*2π)/217720 weeks
110-.24346 2.58469 (110*2π)/217720 weeks
111-.69076 1.7941 (111*2π)/217720 weeks
112-.52384 1.58669 (112*2π)/217719 weeks
113.17494 1.62003 (113*2π)/217719 weeks
114.33146 1.57513 (114*2π)/217719 weeks
115-.05131 1.52874 (115*2π)/217719 weeks
116-.21971 1.45083 (116*2π)/217719 weeks
117.56256 1.23356 (117*2π)/217719 weeks
1181.75132 .81234 (118*2π)/217718 weeks
1192.08853 .86761 (119*2π)/217718 weeks
1201.65886 1.70238 (120*2π)/217718 weeks
1211.19921 2.60605 (121*2π)/217718 weeks
1221.0474 3.14592 (122*2π)/217718 weeks
1231.3356 3.03737 (123*2π)/217718 weeks
1241.42319 2.96979 (124*2π)/217718 weeks
1251.32469 2.94419 (125*2π)/217717 weeks
126.98046 2.89485 (126*2π)/217717 weeks
127.37891 3.26982 (127*2π)/217717 weeks
128-.04468 3.63002 (128*2π)/217717 weeks
129-.37553 3.59993 (129*2π)/217717 weeks
130-.54495 3.05623 (130*2π)/217717 weeks
131-.5944 2.74653 (131*2π)/217717 weeks
132-.49783 2.65902 (132*2π)/217716 weeks
133-.59998 2.31974 (133*2π)/217716 weeks
134-.82253 1.95651 (134*2π)/217716 weeks
135-.87214 1.28236 (135*2π)/217716 weeks
136-.54434 1.53422 (136*2π)/217716 weeks
137-.53512 1.80862 (137*2π)/217716 weeks
138-.18279 1.34966 (138*2π)/217716 weeks
139.00539 1.28807 (139*2π)/217716 weeks
140-.15512 1.07172 (140*2π)/217716 weeks
141.10466 1.0897 (141*2π)/217715 weeks
142.31892 1.23273 (142*2π)/217715 weeks
143.50053 .9428 (143*2π)/217715 weeks
144.51727 .90393 (144*2π)/217715 weeks
145.46108 1.30256 (145*2π)/217715 weeks
146.79193 1.60264 (146*2π)/217715 weeks
1471.24049 1.93271 (147*2π)/217715 weeks
148.96032 1.85346 (148*2π)/217715 weeks
149.37624 1.53295 (149*2π)/217715 weeks
150.32188 1.54928 (150*2π)/217715 weeks
151.65693 1.71415 (151*2π)/217714 weeks
152.77288 1.75127 (152*2π)/217714 weeks
153.71235 1.72022 (153*2π)/217714 weeks
154.5183 1.60344 (154*2π)/217714 weeks
155.72028 1.96655 (155*2π)/217714 weeks
156.74787 2.38817 (156*2π)/217714 weeks
157.42185 2.1698 (157*2π)/217714 weeks
158.51931 2.2556 (158*2π)/217714 weeks
159.09646 2.53005 (159*2π)/217714 weeks
160-.24417 2.40544 (160*2π)/217714 weeks
161-.22445 2.4539 (161*2π)/217714 weeks
162-.67295 2.03377 (162*2π)/217713 weeks
163-.83 1.65926 (163*2π)/217713 weeks
164-.89959 1.4535 (164*2π)/217713 weeks
165-.49387 1.31069 (165*2π)/217713 weeks
166-.27515 1.17887 (166*2π)/217713 weeks
167-.55087 .62252 (167*2π)/217713 weeks
168-.79687 .56847 (168*2π)/217713 weeks
169-.66961 .79184 (169*2π)/217713 weeks
170.08942 .34565 (170*2π)/217713 weeks
171.74592 .22433 (171*2π)/217713 weeks
172.33469 -.16062 (172*2π)/217713 weeks
173.4335 .03588 (173*2π)/217713 weeks
174.89294 .91179 (174*2π)/217713 weeks
1751.1274 1.13635 (175*2π)/217712 weeks
1761.15446 .93666 (176*2π)/217712 weeks
1771.07299 .78879 (177*2π)/217712 weeks
178.88811 .97032 (178*2π)/217712 weeks
179.71463 1.10026 (179*2π)/217712 weeks
180.68193 1.21155 (180*2π)/217712 weeks
181.67626 1.16292 (181*2π)/217712 weeks
182.86259 .98445 (182*2π)/217712 weeks
1831.01606 .89473 (183*2π)/217712 weeks
1841.02626 1.05168 (184*2π)/217712 weeks
1851.30141 1.32188 (185*2π)/217712 weeks
1861.09746 1.3434 (186*2π)/217712 weeks
1871.14604 .72148 (187*2π)/217712 weeks
1881.13088 .88164 (188*2π)/217712 weeks
1891.20911 1.3386 (189*2π)/217712 weeks
1901.4531 1.94729 (190*2π)/217711 weeks
1911.37824 2.19534 (191*2π)/217711 weeks
1921.38564 2.10384 (192*2π)/217711 weeks
1931.13551 2.19098 (193*2π)/217711 weeks
194.67309 2.41678 (194*2π)/217711 weeks
195.36824 2.34331 (195*2π)/217711 weeks
196.14089 2.40843 (196*2π)/217711 weeks
197.02543 2.22006 (197*2π)/217711 weeks
198.00662 1.67504 (198*2π)/217711 weeks
199-.01981 1.42347 (199*2π)/217711 weeks
200-.19483 1.33568 (200*2π)/217711 weeks
201-.16872 1.42934 (201*2π)/217711 weeks
202.11688 1.46377 (202*2π)/217711 weeks
203.21066 1.28094 (203*2π)/217711 weeks
204.10165 .9854 (204*2π)/217711 weeks
205.0461 1.06877 (205*2π)/217711 weeks
206.14913 1.04929 (206*2π)/217711 weeks
207.84169 1.04494 (207*2π)/217711 weeks
208.58706 1.25671 (208*2π)/217710 weeks
209.20127 1.16413 (209*2π)/217710 weeks
210.19568 1.47218 (210*2π)/217710 weeks
211.47979 1.51765 (211*2π)/217710 weeks
212.88023 1.45721 (212*2π)/217710 weeks
213.4334 1.53584 (213*2π)/217710 weeks
214-.09962 1.45959 (214*2π)/217710 weeks
215-.03115 1.50628 (215*2π)/217710 weeks
216.00086 1.33223 (216*2π)/217710 weeks
217.1863 .97309 (217*2π)/217710 weeks
218-.00116 1.039 (218*2π)/217710 weeks
219-.05404 1.15602 (219*2π)/217710 weeks
220.0273 1.36721 (220*2π)/217710 weeks
221.12007 1.18434 (221*2π)/217710 weeks
222.34162 .85439 (222*2π)/217710 weeks
223.13466 .62834 (223*2π)/217710 weeks
224-.12692 .53825 (224*2π)/217710 weeks
225-.08221 .41478 (225*2π)/217710 weeks
226.43512 .66894 (226*2π)/217710 weeks
227.84008 .67193 (227*2π)/217710 weeks
228.68346 .61912 (228*2π)/217710 weeks
229.39364 .70155 (229*2π)/217710 weeks
230.62158 .95911 (230*2π)/21779 weeks
231.87255 1.06854 (231*2π)/21779 weeks
2321.175 .86208 (232*2π)/21779 weeks
233.88674 .80734 (233*2π)/21779 weeks
234.80641 1.10865 (234*2π)/21779 weeks
235.87248 1.38423 (235*2π)/21779 weeks
236.97562 1.49366 (236*2π)/21779 weeks
237.66544 1.55357 (237*2π)/21779 weeks
238.18749 1.45962 (238*2π)/21779 weeks
239.2055 1.53426 (239*2π)/21779 weeks
240.29183 1.48666 (240*2π)/21779 weeks
241.15282 1.29113 (241*2π)/21779 weeks
242.00099 1.16632 (242*2π)/21779 weeks
243-.13741 1.15108 (243*2π)/21779 weeks
244.06047 1.1328 (244*2π)/21779 weeks
245.22238 1.09613 (245*2π)/21779 weeks
246.12754 .79256 (246*2π)/21779 weeks
247.00355 .5878 (247*2π)/21779 weeks
248.03075 .45559 (248*2π)/21779 weeks
249.42032 .33492 (249*2π)/21779 weeks
250.6798 .5586 (250*2π)/21779 weeks
251.60216 .67961 (251*2π)/21779 weeks
252.6636 .7463 (252*2π)/21779 weeks
253.89265 .87641 (253*2π)/21779 weeks
2541.27879 .9406 (254*2π)/21779 weeks
2551.05895 1.13224 (255*2π)/21779 weeks
256.65701 1.11645 (256*2π)/21779 weeks
257.54762 1.32832 (257*2π)/21778 weeks
258.50613 1.54876 (258*2π)/21778 weeks
259.38742 1.51463 (259*2π)/21778 weeks
260.10121 1.36537 (260*2π)/21778 weeks
261.01397 1.16021 (261*2π)/21778 weeks
262.05742 .97106 (262*2π)/21778 weeks
263.18318 .74084 (263*2π)/21778 weeks
264.38659 .5836 (264*2π)/21778 weeks
265.22879 .74468 (265*2π)/21778 weeks
266.41992 .76681 (266*2π)/21778 weeks
267.70317 .72866 (267*2π)/21778 weeks
268.97833 .55049 (268*2π)/21778 weeks
269.90759 .8714 (269*2π)/21778 weeks
270.62239 1.38964 (270*2π)/21778 weeks
271.61734 1.40635 (271*2π)/21778 weeks
272.77839 1.20373 (272*2π)/21778 weeks
273.56161 1.18467 (273*2π)/21778 weeks
274.10995 1.2974 (274*2π)/21778 weeks
275-.07657 1.50564 (275*2π)/21778 weeks
276.34092 1.13112 (276*2π)/21778 weeks
277.52985 .81556