Модель на 8 шаге имеет вид:
Z(t)= 85,2812-0,4328*cos(t) -0,1799*sin(t) -0,1888*cos(2t)+ 0,1608*sin(2t) -1,2897*cos(3t) -0,1827*sin(3t) -1,0877*cos(4t)+ 0,1525*sin(4t) -0,7758*cos(5t)+ 0,1562*sin(5t)+ 2,5863*cos(6t)+ 0,00308*sin(6t)+ 0,3364*cos(7t) -0,2992*sin(7t) -0,0129*cos(8t) -0,0205*sin(8t)
Спектральный анализ.
Действительная часть комплексного числа:
Мнимая часть комплексного числа:
, (
).
Чтобы построить амплитудный спектр для исследуемой функции, необходимо найти модули полученных комплексных чисел по следующей формуле:
,
.
|
номер |
значение |
частота |
Re |
Im |
A |
|
1 |
80 |
0 |
5458 |
0 |
5458 |
|
2 |
84 |
1 |
-13,8522 |
5,758916 |
15,00164 |
|
3 |
87 |
2 |
-6,04406 |
-5,14781 |
7,939175 |
|
4 |
82 |
3 |
-41,2732 |
5,847847 |
41,68539 |
|
5 |
80 |
4 |
-34,8084 |
-4,88238 |
35,14912 |
|
6 |
83 |
5 |
-24,8277 |
-5,00002 |
25,32621 |
|
7 |
85 |
6 |
82,76318 |
-0,09859 |
82,76324 |
|
8 |
88 |
7 |
10,76538 |
9,576337 |
14,40832 |
|
9 |
86 |
8 |
-0,4143 |
0,656819 |
0,776569 |
|
10 |
89 |
9 |
21,46627 |
-4,33052 |
21,89872 |
|
11 |
91 |
10 |
-13,2037 |
18,88631 |
23,04408 |
|
12 |
87 |
11 |
11,25141 |
-23,1645 |
25,75243 |
|
13 |
84 |
12 |
-24,8663 |
12,52116 |
27,84088 |
|
14 |
88 |
13 |
3,219371 |
3,822431 |
4,997532 |
|
15 |
85 |
14 |
-9,11187 |
13,27726 |
16,10316 |
|
16 |
82 |
15 |
-23,0402 |
-24,4085 |
33,56519 |
|
17 |
80 |
16 |
-28,0001 |
5,999915 |
28,6357 |
|
18 |
83 |
17 |
-16,7377 |
-1,73449 |
16,8273 |
|
19 |
85 |
18 |
-4,59877 |
23,30112 |
23,75059 |
|
20 |
88 |
19 |
-1,20788 |
-9,8552 |
9,928947 |
|
21 |
84 |
20 |
-1,7196 |
7,935355 |
8,119537 |
|
22 |
86 |
21 |
0,571745 |
2,843411 |
2,900324 |
|
23 |
89 |
22 |
-21,0759 |
-8,78956 |
22,83529 |
|
24 |
83 |
23 |
-4,96466 |
25,57872 |
26,05607 |
|
25 |
90 |
24 |
2,414154 |
10,65674 |
10,92677 |
|
26 |
82 |
25 |
-25,8293 |
-6,52449 |
26,64056 |
|
27 |
80 |
26 |
7,599403 |
10,36762 |
12,85451 |
|
28 |
84 |
27 |
3,211575 |
-18,625 |
18,8999 |
|
29 |
82 |
28 |
5,394043 |
2,531762 |
5,958651 |
|
30 |
86 |
29 |
12,36787 |
29,7921 |
32,2573 |
|
31 |
89 |
30 |
-20,3289 |
-4,98198 |
20,93043 |
|
32 |
91 |
31 |
-7,12188 |
-4,32245 |
8,330955 |
|
33 |
86 |
32 |
-14 |
-0,00017 |
14 |
|
34 |
84 |
33 |
-7,12188 |
4,322132 |
8,330785 |
|
35 |
87 |
34 |
-20,3288 |
4,981585 |
20,93029 |
|
36 |
91 |
35 |
12,36805 |
-29,7923 |
32,2576 |
|
37 |
86 |
36 |
5,394109 |
-2,53199 |
5,958806 |
|
38 |
84 |
37 |
3,211572 |
18,62477 |
18,89963 |
|
39 |
80 |
38 |
7,599489 |
-10,3679 |
12,85478 |
|
40 |
85 |
39 |
-25,8292 |
6,524109 |
26,6404 |
|
41 |
83 |
40 |
2,414313 |
-10,657 |
10,9271 |
|
42 |
88 |
41 |
-4,96446 |
-25,579 |
26,0563 |
|
43 |
90 |
42 |
-21,0758 |
8,789236 |
22,83505 |
|
44 |
87 |
43 |
0,571943 |
-2,84369 |
2,900635 |
|
45 |
89 |
44 |
-1,71939 |
-7,93563 |
8,119758 |
|
46 |
85 |
45 |
-1,20772 |
9,854914 |
9,928641 |
|
47 |
83 |
46 |
-4,59848 |
-23,3014 |
23,75082 |
|
48 |
80 |
47 |
-16,7374 |
1,734181 |
16,82705 |
|
49 |
84 |
48 |
-27,9998 |
-6,00026 |
28,63547 |
|
50 |
81 |
49 |
-23,0399 |
24,4081 |
33,56474 |
|
51 |
86 |
50 |
-9,11142 |
-13,2776 |
16,10317 |
|
52 |
83 |
51 |
3,219801 |
-3,82269 |
4,998009 |
|
53 |
88 |
52 |
-24,8658 |
-12,5215 |
27,84057 |
|
54 |
90 |
53 |
11,25187 |
23,16425 |
25,75242 |
|
55 |
89 |
54 |
-13,203 |
-18,8866 |
23,04398 |
|
56 |
91 |
55 |
21,46691 |
4,330332 |
21,89932 |
|
57 |
85 |
56 |
-0,41358 |
-0,6571 |
0,776417 |
|
58 |
89 |
57 |
10,76628 |
-9,57656 |
14,40914 |
|
59 |
84 |
58 |
82,76407 |
0,098621 |
82,76413 |
|
60 |
82 |
59 |
-24,8268 |
4,99967 |
25,32518 |
|
61 |
80 |
60 |
-34,807 |
4,881982 |
35,1477 |
|
62 |
83 |
61 |
-41,2712 |
-5,84826 |
41,68347 |
|
63 |
85 |
62 |
-6,04108 |
5,147513 |
7,936722 |
|
64 |
87 |
63 |
-13,8462 |
-5,75924 |
14,99624 |
