{
"cells": [
 {
		   "cell_type": "markdown",
	   "metadata": {},
	   "source": [
       "# Chapter 5: Sampling"
	   ]
	},
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 5.12: Find_the_frequency.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"omega=%pi/4;\n",
"T=10^(-3)\n",
"w=omega/T;\n",
"disp(w)"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 5.14: Sampling_period.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"[N,kerA]=linsolve(5*%pi/9,-2*%pi);\n",
"N1=floor(N);\n",
"disp(N1);"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 5.1: Minimum_Sampling_Frequency.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"//Ex 5.1\n",
"clc;\n",
"fmax=30;\n",
"fmin=20;\n",
"BW=fmax-fmin;\n",
"disp(BW,'Bandwidth (kHz)');\n",
"mFs=2*BW;\n",
"disp(mFs,'Minimum Sampling Frequency (kHz)');"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 5.2_a: Minimum_Sampling_Interval.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"//Ex 5.2a\n",
"clc;\n",
"syms T;\n",
"disp('x(t)=1+cos(20%pi*t)');\n",
"w=20*%pi;\n",
"f=w/(2*%pi);\n",
"T=1/(2*f);\n",
"disp(T,'minimun sampling interval');"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 5.2_b: Minimum_Sampling_Interval.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"//Ex 5.2b\n",
"clc;\n",
"disp('x(t)=(1/2%pi*t)[sin(31%pi*t)-sin(29%pi*t)]');\n",
"w1=31*%pi;\n",
"f1=w1/(2*%pi);\n",
"w2=29*%pi;\n",
"f2=w2/(2*%pi);\n",
"if f1<f2 then\n",
"    T=1/(2*f2);\n",
"else\n",
"    T=1/(2*f1);\n",
"end\n",
"disp(T,'minimun sampling interval');"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 5.6: Continuous_time_Frequency.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"//Ex 5.6\n",
"clc;\n",
"ws=1000*%pi;\n",
"w=ws/2;\n",
"disp(w,'Cont. time Frequency w ( rad/seconed )');"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 5.9: Aliasing.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"//Ex 5.9\n",
"clc;\n",
"disp('x(t)=cos(200%pi*t+theta)');\n",
"w=200*%pi;\n",
"f=w/(2*%pi);\n",
"nyquist_rate=2*f;\n",
"disp(nyquist_rate,'Minimum sampling frequency to avoid aliasing is');"
   ]
   }
],
"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
}