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Fourier Analysis of NTSC (National Technical Systems, Inc)


NTSC (National Technical Systems, Inc) appears to have interesting cyclic behaviour every 175 weeks (.7777*cosine), 128 weeks (.7359*sine), and 160 weeks (.5978*sine).

NTSC (National Technical Systems, Inc) has an average price of 3.38 (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 8/23/1976 to 11/18/2013 for NTSC (National Technical Systems, Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
03.38462   0 
1.79473 -1.91068 (1*2π)/19241,924 weeks
2.41767 -.78605 (2*2π)/1924962 weeks
3-.11235 -1.23546 (3*2π)/1924641 weeks
4.49104 -.15814 (4*2π)/1924481 weeks
51.08455 -.95557 (5*2π)/1924385 weeks
6.16122 -.56215 (6*2π)/1924321 weeks
7.44282 -.02008 (7*2π)/1924275 weeks
8-.04983 -.69271 (8*2π)/1924241 weeks
9.21697 -.06375 (9*2π)/1924214 weeks
10.38311 -.42383 (10*2π)/1924192 weeks
11.7777 -.09915 (11*2π)/1924175 weeks
12.5627 -.59785 (12*2π)/1924160 weeks
13.14246 -.33533 (13*2π)/1924148 weeks
14.30272 -.50597 (14*2π)/1924137 weeks
15.19536 -.7359 (15*2π)/1924128 weeks
16.21929 -.34613 (16*2π)/1924120 weeks
17.16249 -.37514 (17*2π)/1924113 weeks
18.01683 -.12458 (18*2π)/1924107 weeks
19.19258 -.41197 (19*2π)/1924101 weeks
20.0843 -.26421 (20*2π)/192496 weeks
21.18671 -.44648 (21*2π)/192492 weeks
22.14146 -.31263 (22*2π)/192487 weeks
23.18394 -.17246 (23*2π)/192484 weeks
24.049 -.23121 (24*2π)/192480 weeks
25.19042 -.18163 (25*2π)/192477 weeks
26.17729 -.46157 (26*2π)/192474 weeks
27.13793 -.29966 (27*2π)/192471 weeks
28.15477 -.39736 (28*2π)/192469 weeks
29.09716 -.20477 (29*2π)/192466 weeks
30.13653 -.39465 (30*2π)/192464 weeks
31.02315 -.29096 (31*2π)/192462 weeks
32.02439 -.33735 (32*2π)/192460 weeks
33.03092 -.28619 (33*2π)/192458 weeks
34.09377 -.20867 (34*2π)/192457 weeks
35.12856 -.22749 (35*2π)/192455 weeks
36.0324 -.26568 (36*2π)/192453 weeks
37.03737 -.38652 (37*2π)/192452 weeks
38.03264 -.25334 (38*2π)/192451 weeks
39.05298 -.3417 (39*2π)/192449 weeks
40-.03161 -.15214 (40*2π)/192448 weeks
41.05408 -.28337 (41*2π)/192447 weeks
42-.08406 -.17678 (42*2π)/192446 weeks
43.02619 -.261 (43*2π)/192445 weeks
44-.01004 -.24265 (44*2π)/192444 weeks
45.0675 -.17531 (45*2π)/192443 weeks
46.03508 -.31744 (46*2π)/192442 weeks
47-.08572 -.17323 (47*2π)/192441 weeks
48.00126 -.19908 (48*2π)/192440 weeks
49-.08944 -.23849 (49*2π)/192439 weeks
50.00243 -.22765 (50*2π)/192438 weeks
51-.08313 -.19465 (51*2π)/192438 weeks
52-.07213 -.05592 (52*2π)/192437 weeks
53.03672 -.20432 (53*2π)/192436 weeks
54-.03355 -.11139 (54*2π)/192436 weeks
55.00487 -.17864 (55*2π)/192435 weeks
56-.073 -.14234 (56*2π)/192434 weeks
57.04941 -.12641 (57*2π)/192434 weeks
58-.04594 -.15987 (58*2π)/192433 weeks
59-.00125 -.16372 (59*2π)/192433 weeks
60-.04949 -.14614 (60*2π)/192432 weeks
61-.03488 -.14866 (61*2π)/192432 weeks
62.01687 -.11466 (62*2π)/192431 weeks
63-.05339 -.12852 (63*2π)/192431 weeks
64.02624 -.14466 (64*2π)/192430 weeks
65-.08447 -.13972 (65*2π)/192430 weeks
66-.00521 -.09882 (66*2π)/192429 weeks
67-.04918 -.15135 (67*2π)/192429 weeks
68-.03517 -.12155 (68*2π)/192428 weeks
69-.00747 -.1143 (69*2π)/192428 weeks
70-.03061 -.12517 (70*2π)/192427 weeks
71-.04188 -.09655 (71*2π)/192427 weeks
72-.08283 -.12637 (72*2π)/192427 weeks
73-.02007 -.09601 (73*2π)/192426 weeks
74-.00972 -.07961 (74*2π)/192426 weeks
75-.02234 -.11245 (75*2π)/192426 weeks
76-.05135 -.0968 (76*2π)/192425 weeks
77-.008 -.03285 (77*2π)/192425 weeks
78.02763 -.10991 (78*2π)/192425 weeks
79-.04977 -.11958 (79*2π)/192424 weeks
80.0221 -.11798 (80*2π)/192424 weeks
81-.02891 -.11531 (81*2π)/192424 weeks
82-.0552 -.11276 (82*2π)/192423 weeks
83-.0678 -.06692 (83*2π)/192423 weeks
84-.02557 -.09027 (84*2π)/192423 weeks
85-.03048 -.06983 (85*2π)/192423 weeks
86.00363 -.09117 (86*2π)/192422 weeks
87-.02059 -.06416 (87*2π)/192422 weeks
88-.02811 -.06236 (88*2π)/192422 weeks
89-.00699 -.11282 (89*2π)/192422 weeks
90-.03476 -.09644 (90*2π)/192421 weeks
91-.01926 -.10039 (91*2π)/192421 weeks
92-.05174 -.06187 (92*2π)/192421 weeks
93.00886 -.0485 (93*2π)/192421 weeks
94-.04642 -.11326 (94*2π)/192420 weeks
95-.04573 -.08795 (95*2π)/192420 weeks
96-.0217 -.0648 (96*2π)/192420 weeks
97-.01493 -.04062 (97*2π)/192420 weeks
98-.00296 -.05399 (98*2π)/192420 weeks
99-.01968 -.10715 (99*2π)/192419 weeks
100-.038 -.08173 (100*2π)/192419 weeks
101.00303 -.07941 (101*2π)/192419 weeks
102-.03967 -.07135 (102*2π)/192419 weeks
103-.01686 -.06921 (103*2π)/192419 weeks
104-.04951 -.06798 (104*2π)/192419 weeks
105-.04555 -.05262 (105*2π)/192418 weeks
106-.03134 -.05616 (106*2π)/192418 weeks
107-.00087 -.02202 (107*2π)/192418 weeks
108-.00848 -.0965 (108*2π)/192418 weeks
109-.02304 -.03525 (109*2π)/192418 weeks
110-.03003 -.05574 (110*2π)/192417 weeks
111-.04009 -.0444 (111*2π)/192417 weeks
112-.02353 -.0454 (112*2π)/192417 weeks
113.013 -.06426 (113*2π)/192417 weeks
114-.03734 -.04294 (114*2π)/192417 weeks
115-.01157 -.05156 (115*2π)/192417 weeks
116-.03249 -.03573 (116*2π)/192417 weeks
117-.02225 -.05794 (117*2π)/192416 weeks
118.00609 -.02469 (118*2π)/192416 weeks
119-.01755 -.07221 (119*2π)/192416 weeks
120-.00993 -.01468 (120*2π)/192416 weeks
121.0114 -.03978 (121*2π)/192416 weeks
122-.01583 -.05541 (122*2π)/192416 weeks
123-.03017 -.08566 (123*2π)/192416 weeks
124-.01256 -.04988 (124*2π)/192416 weeks
125-.0096 -.029 (125*2π)/192415 weeks
126-.02399 -.05088 (126*2π)/192415 weeks
127-.04417 -.0229 (127*2π)/192415 weeks
128-.01586 -.05057 (128*2π)/192415 weeks
129-.01865 -.01255 (129*2π)/192415 weeks
130.01916 -.04609 (130*2π)/192415 weeks
131-.02463 -.01752 (131*2π)/192415 weeks
132.01206 -.02143 (132*2π)/192415 weeks
133.00021 -.06422 (133*2π)/192414 weeks
134-.01499 -.0329 (134*2π)/192414 weeks
135.03097 -.05829 (135*2π)/192414 weeks
136-.02019 -.04088 (136*2π)/192414 weeks
137.00895 -.03723 (137*2π)/192414 weeks
138-.00951 -.06415 (138*2π)/192414 weeks
139-.00842 -.05531 (139*2π)/192414 weeks
140-.00821 -.04691 (140*2π)/192414 weeks
141-.01681 -.01055 (141*2π)/192414 weeks
142.02096 -.05509 (142*2π)/192414 weeks
143-.02098 -.04781 (143*2π)/192413 weeks
144.01242 -.04816 (144*2π)/192413 weeks
145-.02393 -.06646 (145*2π)/192413 weeks
146-.02088 -.04909 (146*2π)/192413 weeks
147-.01189 -.02206 (147*2π)/192413 weeks
148-.02663 -.02749 (148*2π)/192413 weeks
149-.00333 -.0263 (149*2π)/192413 weeks
150-.01714 -.03306 (150*2π)/192413 weeks
151.00899 -.01457 (151*2π)/192413 weeks
152.01801 -.01829 (152*2π)/192413 weeks
153.01075 -.02398 (153*2π)/192413 weeks
154.01183 -.04035 (154*2π)/192412 weeks
155.03843 -.04929 (155*2π)/192412 weeks
156.00549 -.06368 (156*2π)/192412 weeks
157.01737 -.05166 (157*2π)/192412 weeks
158-.00492 -.05053 (158*2π)/192412 weeks
159-.00234 -.05737 (159*2π)/192412 weeks
160-.01505 -.04988 (160*2π)/192412 weeks
161.00465 -.05497 (161*2π)/192412 weeks
162.01262 -.04471 (162*2π)/192412 weeks
163-.0085 -.04439 (163*2π)/192412 weeks
164-.02412 -.03737 (164*2π)/192412 weeks
165-.00467 -.05327 (165*2π)/192412 weeks
166.01091 -.03427 (166*2π)/192412 weeks
167.01555 -.0554 (167*2π)/192412 weeks
168.00281 -.03229 (168*2π)/192411 weeks
169.00309 -.05096 (169*2π)/192411 weeks
170-.01236 -.05396 (170*2π)/192411 weeks
171.00565 -.06575 (171*2π)/192411 weeks
172.00802 -.05554 (172*2π)/192411 weeks
173.00724 -.04321 (173*2π)/192411 weeks
174-.01614 -.05458 (174*2π)/192411 weeks
175-.02396 -.02711 (175*2π)/192411 weeks
176-.00346 -.06315 (176*2π)/192411 weeks
177.01299 -.06077 (177*2π)/192411 weeks
178.01949 -.05895 (178*2π)/192411 weeks
179-.02973 -.05292 (179*2π)/192411 weeks
180-.00841 -.02712 (180*2π)/192411 weeks
181-.02275 -.06483 (181*2π)/192411 weeks
182.00089 -.05042 (182*2π)/192411 weeks
183-.00607 -.06895 (183*2π)/192411 weeks
184-.01407 -.04389 (184*2π)/192410 weeks
185-.00116 -.04323 (185*2π)/192410 weeks
186-.03062 -.04807 (186*2π)/192410 weeks
187-.0043 -.04758 (187*2π)/192410 weeks
188-.02241 -.07507 (188*2π)/192410 weeks
189-.01475 -.028 (189*2π)/192410 weeks
190.00676 -.07718 (190*2π)/192410 weeks
191-.04045 -.0292 (191*2π)/192410 weeks
192-.00361 -.04616 (192*2π)/192410 weeks
193-.03171 -.05361 (193*2π)/192410 weeks
194-.00392 -.04279 (194*2π)/192410 weeks
195-.02711 -.0547 (195*2π)/192410 weeks
196-.01526 -.03213 (196*2π)/192410 weeks
197-.01971 -.04628 (197*2π)/192410 weeks
198-.01829 -.03736 (198*2π)/192410 weeks
199-.01139 -.05603 (199*2π)/192410 weeks
200-.02787 -.04067 (200*2π)/192410 weeks
201-.01375 -.05276 (201*2π)/192410 weeks
202-.02786 -.02799 (202*2π)/192410 weeks
203-.01459 -.04295 (203*2π)/19249 weeks
204-.03651 -.04894 (204*2π)/19249 weeks
205-.02285 -.03761 (205*2π)/19249 weeks
206-.02242 -.03385 (206*2π)/19249 weeks
207-.03175 -.02934 (207*2π)/19249 weeks
208-.02417 -.03285 (208*2π)/19249 weeks
209-.02497 -.0141 (209*2π)/19249 weeks
210-.00893 -.02494 (210*2π)/19249 weeks
211-.01618 -.03403 (211*2π)/19249 weeks
212-.01081 -.02 (212*2π)/19249 weeks
213-.00454 -.03908 (213*2π)/19249 weeks
214-.02722 -.02198 (214*2π)/19249 weeks
215-.00642 -.03953 (215*2π)/19249 weeks
216-.01833 -.02609 (216*2π)/19249 weeks
217-.01026 -.0375 (217*2π)/19249 weeks
218-.01099 -.03922 (218*2π)/19249 weeks
219-.01243 -.0332 (219*2π)/19249 weeks
220-.03951 -.03335 (220*2π)/19249 weeks
221.00167 -.02443 (221*2π)/19249 weeks
222-.02405 -.05305 (222*2π)/19249 weeks
223-.01791 -.03212 (223*2π)/19249 weeks
224-.02604 -.04307 (224*2π)/19249 weeks
225-.03176 -.00607 (225*2π)/19249 weeks
226-.00635 -.02653 (226*2π)/19249 weeks
227-.03141 -.02881 (227*2π)/19248 weeks
228-.00034 -.02023 (228*2π)/19248 weeks
229-.01506 -.03419 (229*2π)/19248 weeks
230-.00884 -.01892 (230*2π)/19248 weeks
231-.02157 -.05193 (231*2π)/19248 weeks
232-.02814 -.0186 (232*2π)/19248 weeks
233-.01145 -.03293 (233*2π)/19248 weeks
234-.02285 -.02422 (234*2π)/19248 weeks
235-.01628 -.01476 (235*2π)/19248 weeks
236-.02176 -.03168 (236*2π)/19248 weeks
237-.02085 -.01743 (237*2π)/19248 weeks
238-.01074 -.03158 (238*2π)/19248 weeks
239-.02175 -.02181 (239*2π)/19248 weeks
240-.00196 -.01051 (240*2π)/19248 weeks
241-.03272 -.03766 (241*2π)/19248 weeks
242-.01388 -.00618 (242*2π)/19248 weeks
243-.01733 -.03504 (243*2π)/19248 weeks
244.0005 -.01148 (244*2π)/19248 weeks
245-.01427 -.03514 (245*2π)/19248 weeks
246-.0121 -.01863 (246*2π)/19248 weeks
247-.02027 -.02976 (247*2π)/19248 weeks
248-.02366 -.02931 (248*2π)/19248 weeks
249-.01111 -.01998 (249*2π)/19248 weeks
250-.00538 -.02238 (250*2π)/19248 weeks
251-.02476 -.01191 (251*2π)/19248 weeks
252-.01899 -.03107 (252*2π)/19248 weeks
253-.01997 -.01785 (253*2π)/19248 weeks
254-.01245 -.02266 (254*2π)/19248 weeks
255-.00058 -.01935 (255*2π)/19248 weeks
256-.00593 -.01651 (256*2π)/19248 weeks
257-.01151 -.03077 (257*2π)/19247 weeks
258-.02969 -.03777 (258*2π)/19247 weeks
259-.01983 -.02368 (259*2π)/19247 weeks
260-.03179 -.01582 (260*2π)/19247 weeks
261-.01192 -.00536 (261*2π)/19247 weeks
262-.02244 -.01957 (262*2π)/19247 weeks
263-.01422 -.00159 (263*2π)/19247 weeks
264-.01474 -.00636 (264*2π)/19247 weeks
265-.00026 -.00614 (265*2π)/19247 weeks
266-.00846 -.01736 (266*2π)/19247 weeks
267-.00944 -.00828 (267*2π)/19247 weeks
268-.00342 -.01237 (268*2π)/19247 weeks
269.00236 -.00264 (269*2π)/19247 weeks
270.00982 -.02145 (270*2π)/19247 weeks
271-.0079 -.02248 (271*2π)/19247 weeks
272.00173 -.0198 (272*2π)/19247 weeks
273.00393 -.02474 (273*2π)/19247 weeks
274-.01513 -.01726 (274*2π)/19247 weeks
275.00326 -.01722 (275*2π)/19247 weeks
276-.02091 -.01874 (276*2π)/19247 weeks
277.00526 -.01798 (277*2π)/19247 weeks
278.00577 -.02508 (278*2π)/19247 weeks
279.00159 -.01318 (279*2π)/19247 weeks
280.00028 -.01548 (280*2π)/19247 weeks
281-.00691 -.02248 (281*2π)/19247 weeks
282-.00232 -.02736 (282*2π)/19247 weeks
283.00882 -.03089 (283*2π)/19247 weeks
284-.00755 -.01401 (284*2π)/19247 weeks
285-.00298 -.01931 (285*2π)/19247 weeks
286-.00182 -.0227 (286*2π)/19247 weeks
287-.00571 -.02206 (287*2π)/19247 weeks
288.00457 -.01621 (288*2π)/19247 weeks
289.00713 -.02068 (289*2π)/19247 weeks
290.01214 -.02819 (290*2π)/19247 weeks
291.00021 -.03556 (291*2π)/19247 weeks
292.0019 -.01909 (292*2π)/19247 weeks
293-.00366 -.05691 (293*2π)/19247 weeks
294-.01199 -.02118 (294*2π)/19247 weeks
295.00811 -.02897 (295*2π)/19247 weeks
296-.013 -.02321 (296*2π)/19247 weeks
297-.00431 -.02357 (297*2π)/19246 weeks
298-.0081 -.04216 (298*2π)/19246 weeks
299-.00198 -.01464 (299*2π)/19246 weeks
300.00628 -.04091 (300*2π)/19246 weeks
301-.01975 -.02608 (301*2π)/19246 weeks
302.01575 -.02503 (302*2π)/19246 weeks
303-.01443 -.03966 (303*2π)/19246 weeks
304-.0025 -.02065 (304*2π)/19246 weeks
305-.00221 -.04803 (305*2π)/19246 weeks
306-.00182 -.02835 (306*2π)/19246 weeks
307-.01236 -.04103 (307*2π)/19246 weeks
308-.01463 -.03201 (308*2π)/19246 weeks
309-.01166 -.03376 (309*2π)/19246 weeks
310-.00135 -.04062 (310*2π)/19246 weeks
311-.01305 -.03836 (311*2π)/19246 weeks
312-.02178 -.03575 (312*2π)/19246 weeks
313-.01637 -.01403 (313*2π)/19246 weeks
314-.00985 -.04283 (314*2π)/19246 weeks
315-.01284 -.03761 (315*2π)/19246 weeks
316-.02037 -.03378 (316*2π)/19246 weeks
317-.01862 -.03543 (317*2π)/19246 weeks
318-.01 -.02361 (318*2π)/19246 weeks
319-.01721 -.03644 (319*2π)/19246 weeks
320-.02438 -.0262 (320*2π)/19246 weeks
321-.0208 -.04152 (321*2π)/19246 weeks
322-.01903 -.02675 (322*2π)/19246 weeks
323-.01931 -.03121 (323*2π)/19246 weeks
324-.02897 -.02651 (324*2π)/19246 weeks
325-.01794 -.01662 (325*2π)/19246 weeks
326-.02179 -.03128 (326*2π)/19246 weeks
327-.02539 -.01761 (327*2π)/19246 weeks
328-.01748 -.03383 (328*2π)/19246 weeks
329-.02834 -.0035 (329*2π)/19246 weeks
330-.00961 -.02539 (330*2π)/19246 weeks
331-.02563 -.01571 (331*2π)/19246 weeks
332-.00782 -.01907 (332*2π)/19246 weeks
333-.01942 -.02841 (333*2π)/19246 weeks
334-.02526 -.02529 (334*2π)/19246 weeks
335-.00417 -.02183 (335*2π)/19246 weeks
336-.03937 -.02076 (336*2π)/19246 weeks
337-.01442 -.0203 (337*2π)/19246 weeks
338-.03298 -.02084 (338*2π)/19246 weeks
339-.02175 -.01262 (339*2π)/19246 weeks
340-.02423 -.01643 (340*2π)/19246 weeks
341-.01919 -.00863 (341*2π)/19246 weeks
342-.01513 -.00582 (342*2π)/19246 weeks
343-.02605 -.0153 (343*2π)/19246 weeks
344-.0119 -.01983 (344*2π)/19246 weeks
345-.01224 -.01052 (345*2π)/19246 weeks
346-.00884 -.01598 (346*2π)/19246 weeks
347-.03094 -.02288 (347*2π)/19246 weeks
348-.01794 -.00402 (348*2π)/19246 weeks
349-.02649 -.02028 (349*2π)/19246 weeks
350-.01144 -.00925 (350*2π)/19245 weeks
351-.00779 -.02105 (351*2π)/19245 weeks
352-.02676 .0019 (352*2π)/19245 weeks
353-.01132 -.01064 (353*2π)/19245 weeks
354-.02011 -.01898 (354*2π)/19245 weeks
355-.0133 -.01678 (355*2π)/19245 weeks
356-.02308 -.02277 (356*2π)/19245 weeks
357-.01687 -.00073 (357*2π)/19245 weeks
358-.00822 -.01423 (358*2π)/19245 weeks
359-.03054 -.01177 (359*2π)/19245 weeks
360-.01988 -.0095 (360*2π)/19245 weeks
361-.02337 -.00996 (361*2π)/19245 weeks
362-.01148 -.00322 (362*2π)/19245 weeks
363-.01216 -.01052 (363*2π)/19245 weeks
364-.01861 .00205 (364*2π)/19245 weeks
365-.00459 -.01242 (365*2π)/19245 weeks
366-.01591 -.0048 (366*2π)/19245 weeks
367-.00773 -.00334 (367*2π)/19245 weeks
368-.00741 -.01204 (368*2π)/19245 weeks
369-.00822 -.00464 (369*2π)/19245 weeks
370-.00137 -.02497 (370*2π)/19245 weeks
371-.01201 -.01175 (371*2π)/19245 weeks
372-.01604 -.01463 (372*2π)/19245 weeks
373-.01508 -.00347 (373*2π)/19245 weeks
374-.00903 -.01268 (374*2π)/19245 weeks
375-.01215 -.00868 (375*2π)/19245 weeks
376-.00408 -.00477 (376*2π)/19245 weeks
377-.00339 -.00443 (377*2π)/19245 weeks
378-.00976