1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
|
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Chapter 5: Linear Time Invariant Systems"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 5.20: System_response.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"//Example 5.20\n",
"\n",
"clc;clear;close;\n",
"z=poly(0,'z');\n",
"x=[-1 1 0 -1];n=0:length(x)-1;\n",
"X=x*(z^-n)';\n",
"H=0.2-0.5*z^-2+0.4*z^-3\n",
"Y=H*X;\n",
"l=coeff(numer(Y));\n",
"y=l(:,$:-1:1);\n",
"disp(X,'Input sequence x(n)={-1,1,0,-1} X(z)=');\n",
"disp(H,'System Transfer Function H(z)=');\n",
"disp(Y,'Z transform of output response Y(z)=');\n",
"disp(y,'Digital output sequence y=')"
]
}
,
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 5.21: Poles_and_zeros.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"//Example 5.21\n",
"clc;clear;close;\n",
"z=poly(0,'z');\n",
"H=(1+z^-1)/(1+3/4*z^-1+1/8*z^-2);\n",
"pole=roots(numer(H));\n",
"zero=roots(denom(H));\n",
"disp(H,'System Transfer Function H(z)=');\n",
"disp(zero,'System zeros are at');\n",
"disp(pole,'System poles are at ');\n",
"plzr(H);"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Scilab",
"language": "scilab",
"name": "scilab"
},
"language_info": {
"file_extension": ".sce",
"help_links": [
{
"text": "MetaKernel Magics",
"url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
}
],
"mimetype": "text/x-octave",
"name": "scilab",
"version": "0.7.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
|