Реферат: Теория вероятностей и случайных процессов
Министерствообразования России
Специальныеглавы математики
Пояснительная записка
по теме:« Теория вероятностей
и случайных процессов»
Студент:Ёлгин Д.Ю.
Куратор:Хоменко В.М.
НГТУ — 97
1. <span Times New Roman"">
Случайныи образом выберем семейство кривых:<img src="/cache/referats/1160/image002.gif" v:shapes="_x0000_i1025">
Примечание:
Наугад выбираются 14 кривых. Все кривые имеютсинусоидальную форму. Область значений не привышает интервал [ -12; 12 ]. Для каждой функции вычисляем значения вточках 0, 2, 4, 6, 8, 10, 12 и составляем матрицу М1.
1. <span Times New Roman"">
Составим матрицу рабочихзначений М1:<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">2
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">4
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">6
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">8
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">10
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">12
<span Arial",«sans-serif»;mso-bidi-font-family: «Times New Roman»;color:black">x1
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">8
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-3,329
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-5,229
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">7,681
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-1,164
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-6,713
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">6,751
<span Arial",«sans-serif»;mso-bidi-font-family: «Times New Roman»;color:black">x2
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">3,637
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-3,027
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-1,118
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">3,957
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-2,176
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-2,146
<span Arial",«sans-serif»;mso-bidi-font-family: «Times New Roman»;color:black">x3
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-1,227
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-1,235
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">1,594
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0,565
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0,777
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-2,609
<span Arial",«sans-serif»;mso-bidi-font-family: «Times New Roman»;color:black">x4
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">5
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-1,998
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-2,758
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">3,17
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,309
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,647
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,54
<span Arial",«sans-serif»;mso-bidi-font-family: «Times New Roman»;color:black">x5
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-2,502
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-1,606
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0,276
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,086
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,725
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">1,086
<span Arial",«sans-serif»;mso-bidi-font-family: «Times New Roman»;color:black">x6
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">7
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,324
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">1,008
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-1,245
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-6,437
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0,99
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-2,705
<span Arial",«sans-serif»;mso-bidi-font-family: «Times New Roman»;color:black">x7
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0
<span Arial",«sans-serif»;mso-bidi-font-family: «Times New Roman»;color:black">x8
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">1,819
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-1,514
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,559
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">1,979
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-1,088
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-1,073
<span Arial",«sans-serif»;mso-bidi-font-family: «Times New Roman»;color:black">x9
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">3
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-1,248
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-1,961
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">2,881
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,437
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-2,517
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">2,532
<span Arial",«sans-serif»;mso-bidi-font-family: «Times New Roman»;color:black">x10
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,161
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,317
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0,26
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0,026
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0,372
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,394
<span Arial",«sans-serif»;mso-bidi-font-family: «Times New Roman»;color:black">x11
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">4
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">1,697
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-2,561
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-3,869
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,722
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">3,257
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">3,485
<span Arial",«sans-serif»;mso-bidi-font-family: «Times New Roman»;color:black">x12
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-2,377
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0,44
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,943
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-3,79
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,888
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,91
<span Arial",«sans-serif»;mso-bidi-font-family: «Times New Roman»;color:black">x13
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">2
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,832
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-1,307
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">1,92
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,291
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-1,678
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">1,688
<span Arial",«sans-serif»;mso-bidi-font-family: «Times New Roman»;color:black">x14
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0,909
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,757
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,279
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0,989
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,544
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,537
4.Вычислим m[t]:
<span Arial",«sans-serif»;mso-bidi-font-family: «Times New Roman»;color:black">t
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">2
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">4
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">6
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">8
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">10
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">12
<span Arial",«sans-serif»;mso-bidi-font-family: «Times New Roman»;color:black">m[t]
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">2,071429
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,424
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-1,48743
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0,697786
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,40857
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,82714
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0,330571
1. <span Times New Roman"">
Составим корреляционнуюматрицу М2:<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family: «Times New Roman»;color:black">Корелляционная матрица
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">2
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">4
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">6
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">8
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">10
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">12
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">162,7092
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-36,6317
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-64,2259
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">64,14459
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-59,8507
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-46,1746
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">56,60024
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">2
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">50,93338
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">11,23673
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-48,7464
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">33,38392
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">25,55703
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-26,5632
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">4
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">62,29164
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-45,8419
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-15,0293
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">43,78402
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-42,4137
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">6
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">102,2796
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-1,99387
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-72,1782
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">50,37741
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">8
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">78,75916
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-6,8851
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-3,53313
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">10
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">73,80887
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-41,2532
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">12
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">89,49557
1. <span Times New Roman"">
Составим таблицу дисперсий исигм:<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">2
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">4
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">6
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">8
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">10
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">12
<span Arial",«sans-serif»;mso-bidi-font-family: «Times New Roman»;color:black">Дисперс
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">162,7092
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">50,93338
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">62,29164
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">102,2796
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">78,75916
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">73,80887
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">89,49557
<span Arial",«sans-serif»;mso-bidi-font-family: «Times New Roman»;color:black">Сигма
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">12,75575
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">7,136762
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">7,892505
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">10,11334
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">8,874636
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">8,591209
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">9,46021
1. <span Times New Roman"">
Сделаем нормировку М2 нанаборе соответствующих сигм:<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family: «Times New Roman»;color:black">Нормированная кор-матрица
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">2
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">4
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">6
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">8
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">10
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">12
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">1
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,40239
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,63795
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0,497232
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,5287
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,42135
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0,469042
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">2
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">1
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0,199491
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,67538
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0,527091
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0,416826
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,39344
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">4
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">1
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,57432
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,21457
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0,645723
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,56805
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">6
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">1
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,02222
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,83073
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0,526551
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">8
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">1
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,0903
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,04208
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">10
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">1
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,50758
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">12
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">1
1. <span Times New Roman"">
Вычислим значениянормированной функции p[t]:<span Arial",«sans-serif»;mso-bidi-font-family: «Times New Roman»;color:black">t
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">2
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">4
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">6
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">8
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">10
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">12
<span Arial",«sans-serif»;mso-bidi-font-family: «Times New Roman»;color:black">p[t]
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">1
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,23289
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,48014
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0,549149
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,22664
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">-0,4074
<span Arial",«sans-serif»;mso-bidi-font-family:«Times New Roman»; color:black">0,469042
1. <span Times New Roman"">
По найденным точкамиспользуя функцию ошибки вычислимкоэффициенты a1 иa1 графика y = a0 + a1x и выберем её в силуоптимальности:
<img src="/cache/referats/1160/image004.gif" v:shapes="_x0000_i1026">
<img src="/cache/referats/1160/image006.gif" v:shapes="_x0000_i1027">
Составимсистему уравнений:
<img src="/cache/referats/1160/image008.gif" v:shapes="_x0000_i1028">
Изних вычислим a0 и a1 и запишем уравнениеоптимальной прямой:
<img src="/cache/referats/1160/image010.gif" v:shapes="_x0000_i1029">
9. <span Times New Roman"">
Построим график функции p[t]:<img src="/cache/referats/1160/image012.gif" v:shapes="_x0000_i1030">
10. Вычислим нормированнуюспектральную плотность S(w):
<img src="/cache/referats/1160/image014.gif" v:shapes="_x0000_i1031">
<img src="/cache/referats/1160/image016.gif" v:shapes="_x0000_i1032">
1. <span Times New Roman"">
Построим график S(w):<img src="/cache/referats/1160/image018.gif" v:shapes="_x0000_i1033">