{
"metadata": {
"name": "",
"signature": "sha256:f82338b15d5e32b80b8782ce45f00e7b56a16efde942696b5a56c79c32e5fe3b"
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"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 15: Radar Systems"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 15.1, page no. 485"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Variable Declaration\n",
"PW = 3.00*pow(10,-6) # Pulse Width (s)\n",
"PRT = 6.00*pow(10,-3) # Pulse Repetition Time (s)\n",
"\n",
"# Calculation\n",
"import math # Math Library\n",
"DS = PW/PRT # Duty Cycle\n",
"\n",
"# Result\n",
"print \"Duty Cycle =\",round(DS,4)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Duty Cycle = 0.0005\n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 15.2, page no. 485"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Variable Declaration\n",
"PW = 3.00*pow(10,-6) # Pulse Width (s)\n",
"PP = 100.00*pow(10,3) # Peak Power (W)\n",
"RT = 1997.00 # Rest Time (s)\n",
"\n",
"# Calculation\n",
"import math # Math Library\n",
"DS = 1/RT # Duty Cycle\n",
"AP = PP*DS # Average Power (W)\n",
"\n",
"# Result\n",
"print \"Average Power =\",round(AP),\"W\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Average Power = 50.0 W\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 15.3, page no. 490"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Variable Declaration\n",
"NF = 9.00 # Noise Figure (dB)\n",
"k = 1.38*pow(10,-23) # Boltzmann's Constant (J/K)\n",
"del_f = 1.50*pow(10,6) # Receiver Band Width (Hz)\n",
"To = 290 # Standard Ambient temperature (K)\n",
"\n",
"# Calculation\n",
"import math # Math Library\n",
"F = pow(10,NF/10) # Noise Figure\n",
"P_min = k*To*del_f*(F-1) # Minimum receivable signal in a Radar Receiver (W)\n",
"\n",
"# Result\n",
"print \"Minimum receivable signal in the Radar Receiver, P_min =\",round(P_min/pow(10,-14),2),\"* 10^(-14) W\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Minimum receivable signal in the Radar Receiver, P_min = 4.17 * 10^(-14) W\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 15.4, page no. 490"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Variable Declaration\n",
"Pt = 5.00*pow(10,5) # Peak Pulse Power (W)\n",
"Lambda = 3.00*pow(10,-2) # Wavelength (m)\n",
"P_min = 1.00*pow(10,-13) # Minimum receivable Power (W)\n",
"Ao = 5# Capture Area of Antenna (m^2)\n",
"S = 20 # Radar Cross-sectional Area (m^2)\n",
"\n",
"# Calculation\n",
"import math # Math Library\n",
"r_max = pow(Pt*pow(Ao,2)*S/(4*math.pi*pow(Lambda,2)*P_min),0.25)\n",
" # Maximum range of the Radar System (m)\n",
"# Result\n",
"print \"Maximum range of the Radar System, r_max =\",round(r_max/1000),\"km\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Maximum range of the Radar System, r_max = 686.0 km\n"
]
}
],
"prompt_number": 10
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 15.5, page no. 490"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Variable Declaration\n",
"F_dB = 4.77 # Noise Figure (dB)\n",
"f = 8.00*pow(10,9) # Operating Frequency (Hz)\n",
"c = 3.00*pow(10,8) # Speed of light in vacuum (m/s)\n",
"del_f = 5.00*pow(10,5) # IF Bandwidth (Hz)\n",
"rmax = 12.00 # Maximum distance (km)\n",
"D = 1.00 # Antenna Diameter (m)\n",
"S = 5.00 # Cross sectional area (m^2)\n",
"\n",
"# Calculation\n",
"import math # Math Library\n",
"Lambda = c/f # Wavelength (m)\n",
"F = pow(10,F_dB/10) # Noise Figure\n",
"Pt = del_f*pow(Lambda,2)*(F-1)/(pow(48/rmax,4)*pow(D,4)*S) # Peak transmitted pulse power (W)\n",
"\n",
"# Result\n",
"print \"The peak transmitted pulse power, Pt =\",round(Pt,1),\"W\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The peak transmitted pulse power, Pt = 1.1 W\n"
]
}
],
"prompt_number": 14
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 15.6, page no. 500"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Variable Declaration\n",
"f = 2.50*pow(10,9) # Radar Operating Frequency (Hz)\n",
"c = 3.00*pow(10,8) # Velocity of light in vacuum (m/s)\n",
"Pt = 25.00*pow(10,6) # Peak Pulse Power (W)\n",
"D = 64.00 # Antenna Diameter (m)\n",
"F = 1.1 # Receiver Noise Figure\n",
"S = 1.00 # Radar Cross-sectional Area (m^2)\n",
"del_f = 5.00*pow(10,3) # Receiver Bandwidth (Hz)\n",
"\n",
"# Calculation\n",
"import math# Math Library\n",
"Lambda = c/f# Wavelength (m)\n",
"r_max = 48*pow(Pt*pow(D,4)*S/(del_f*pow(Lambda,2)*(F-1)),0.25)\n",
"# Maximum range of the Radar System (km)\n",
"# Result\n",
"print \"Maximum range of the Radar System, r_max =\",round(r_max),\"km\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Maximum range of the Radar System, r_max = 132609.0 km\n"
]
}
],
"prompt_number": 17
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 15.7, page no. 504"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Variable Declaration\n",
"v_c = 3.00*pow(10,8) # Velocity of light in vacuum (m/s)\n",
"f = 5.00*pow(10,9) # MTI radar Transmit Frequency (Hz)\n",
"PRF = 800 # Pulse Repetition Frequency (pps)\n",
"\n",
"# Calculation\n",
"import math # Math Library\n",
"Lambda = v_c/f # Wavelength(m)\n",
"vb1 = PRF*Lambda*60*60*pow(10,-3) # Blind Speed in for n=1 (km/h)\n",
"vb2 = 2*PRF*Lambda*60*60*pow(10,-3) # Blind Speed in for n=2 (km/h)\n",
"vb3 = 3*PRF*Lambda*60*60*pow(10,-3) # Blind Speed in for n=3 (km/h)\n",
"\n",
"# Result\n",
"print \"Lowest three blind speeds will be\",round(vb1,1),\",\",round(vb2,1),\"and\",round(vb3,1),\"km/h\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Lowest three blind speeds will be 172.8 , 345.6 and 518.4 km/h\n"
]
}
],
"prompt_number": 18
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 15.8, page no. 506"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
" \n",
"# Variable Declaration\n",
"F_dB = 13 # Noise Figure of beacon (dB)\n",
"Ft = 1.1 # Noise Figure of system\n",
"f = 2.50*pow(10,9) # Operating Frequency (Hz)\n",
"D = 64 # Antenna Diameter (m)\n",
"Db = 1 # Antenna Diameter of beacon (m)\n",
"del_f = 5.00*pow(10,3) # Bandwidth (Hz)\n",
"Ptt = 0.50*pow(10,6) # Peak Pulse power (W)\n",
"Ptb = 50 # Peak Pulse power of beacon (W)\n",
"k = 1.38*pow(10,-23) # Boltzman's Constant (J/K)\n",
"c = 3.00*pow(10,8) # Speed of light in vaccum (m/s)\n",
"To = 290 # Temperature (K)\n",
"\n",
"# Calculation\n",
"import math# Math Library\n",
"Aot = 0.65*math.pi*pow(D,2)/4# Capture Area (m^2)\n",
"Aob = 0.65*math.pi*pow(Db,2)/4# Capture Area (m^2)\n",
"Lambda = c/f# Wavelength (m)\n",
"Fb = pow(10,F_dB/10)# Noise Figure\n",
"rmax_I = pow(Aot*Ptt*Aob/(pow(Lambda,2)*k*To*del_f*(Fb-1)),0.5)\n",
"# Maximum range for the interrogation link (m)\n",
"rmax_R = pow(Aob*Ptb*Aot/(pow(Lambda,2)*k*To*del_f*(Ft-1)),0.5)\n",
"# Maximum range for the reply link (m)\n",
"\n",
"# Result\n",
"print \"The Maximum Tracking Range, Rmax =\",round(min(rmax_I/pow(10,10),rmax_R/pow(10,10))),\"million km\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The Maximum Tracking Range, Rmax = 136.0 million km\n"
]
}
],
"prompt_number": 20
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 15.9, page no. 507"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Variable Declaration\n",
"c = 3.00*pow(10,8) # Velocity of light in vacuum (m/s)\n",
"f = 5.00*pow(10,9) # CW Transmit Frequency (Hz)\n",
"v = 100.00 # Target Speed (km/h)\n",
"\n",
"# Calculation\n",
"import math # Math Library\n",
"Lambda = c/f # Wavelength (m)\n",
"vr = v*1000/(60*60) # Target Speed (m/s)\n",
"f_d = 2*vr/Lambda # Doppler frequency (Hz)\n",
"\n",
"# Result\n",
"print \"Doppler frequency, f_d =\",round(f_d),\"Hz\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Doppler frequency, f_d = 926.0 Hz\n"
]
}
],
"prompt_number": 26
}
],
"metadata": {}
}
]
}