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	   "source": [
       "# Chapter 8: Phase Locked Loops"
	   ]
	},
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 8.1: PLL_Ex_8_1.sce"
		   ]
		  },
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"clc\n",
"//Chapter 8:Linear model of phase locked loop\n",
"//example 8.1 page no 314\n",
"//given\n",
"fo=1*10^6//output frequency\n",
"fr=25*10^3//reference frequency\n",
"N=fo/fr\n",
"Kd=2//phase detector gain factor\n",
"Ko=100//VCO gain factor\n",
"thetao=(2*100*2*%pi)//output phase\n",
"s=poly(0,'s')\n",
"thetar=s+(2*100*2*%pi)/N//input phase\n",
"Tf=thetao/thetar\n",
"disp(Tf,'the closed loop transfer function is ')\n",
"Kv=Kd*Ko/N//bandwidth\n",
"mprintf('the synthesizer bandwidth will be %d Hz',Kv)"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 8.2: PLL_Ex_8_2.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
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"source": [
"clc\n",
"//Chapter 8:Linear model of phase locked loop\n",
"//example 8.2 page no 316\n",
"//given\n",
"zeta=0.707//damping ratio for butterworth filter\n",
"Kv=10*%pi//bandwidth\n",
"wL=Kv*(2*zeta)^2//low pass filter bandwidth\n",
"wn=sqrt(Kv*wL)//bandwidth of closed loop system \n",
"tr=2.2/wn//rise time\n",
"mprintf('low pass filter bandwidth is %f rad/s \n bandwidth of closed loop system is %f rad/s \n the system rise time is %3.2e s',wL,wn,tr)"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 8.4: PLL_Ex_8_4.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"clc\n",
"//Chapter 8:Linear model of phase locked loop\n",
"//example 8.6 page no 349\n",
"//given\n",
"//The VCO is designed to oscillate at 100kHz\n",
"R1=10.8*10^3\n",
"R2=10.8*10^3\n",
"C=1*10^-9\n",
"N=2//order of filter\n",
"fmin=(R2*(C+32*10^-12))^-1//minimum frequency\n",
"fmax=fmin+(R1*(C+32*10^-12))^-1//maximum frequency\n",
"VDD=9//regulated power supply\n",
"Kvco=(2*%pi*(fmax-fmin))/(VDD-2)\n",
"Kv=Kvco*(VDD/%pi)/N\n",
"zeta=0.707//damping ratio for butterworth filter\n",
"wL=Kv*(2*zeta)^2//low pass filter bandwidth\n",
"wn=sqrt(Kv*wL)//bandwidth of closed loop system \n",
"mprintf('low pass filter bandwidth is %3.2e rad/s \n bandwidth of closed loop system is %3.2e rad/s',wL,wn)\n",
"thetao=(10.6*10^9)//output phase\n",
"s=poly(0,'s')\n",
"thetar=s^2+s*2.3*10^4+2.66*10^8//input phase\n",
"Tf=thetao/thetar\n",
"disp(Tf,'the closed loop transfer function is ')"
   ]
   }
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			{
			 "text": "MetaKernel Magics",
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