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{
"metadata": {
"name": "",
"signature": "sha256:ea268596f26e72d0ba255402f7b7713669572ea36ff236412ed512a3e76cc14b"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"chapter11:Radars"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 11.1, Page number 504"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#calculate maximum range of radar system, maximum range of radar system in nautical miles\n",
"import math\n",
"\n",
"#Variable declaraion\n",
"lamda = 3.*10**-2#operating unit(cm)\n",
"Pt = 600.*10**3 #peak pulse power(W)\n",
"Smin = 10.**-13 #minimum detectable signal(W)\n",
"Ae = 5. #m^2\n",
"sigma = 20. #cross sectional area(m^2)\n",
"\n",
"#Calculations\n",
"Rmax = ((Pt*Ae**2*sigma)/(4*math.pi*lamda**2*Smin))**0.25\n",
"Rmax_nau = Rmax/1.853\n",
"\n",
"#Result\n",
"print \"The maximum range of radar system is\",round((Rmax/1E+3),3),\"km\"\n",
"print \"The maximum range of radar system in nautical miles is\",round((Rmax_nau/1E+3)),\"nm\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The maximum range of radar system is 717.657 km\n",
"The maximum range of radar system in nautical miles is 387.0 nm\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 11.2, Page number 504"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#calculate Maximum range possible of the antenna\n",
"#Variable declaration\n",
"Pt = 250.*10**3 #peak pulse power(W)\n",
"Smin = 10.**-14 #minimum detectable signal(W)\n",
"Ae = 10. #m^2\n",
"sigma = 2. #cross sectional area(m^2)\n",
"f = 10*10**9 #frequency(Hz)\n",
"c = 3*10**8 #velocity of propagation(m/s)\n",
"G = 2500 #power gain of antenna\n",
"\n",
"#Calculations\n",
"lamda = c/f\n",
"Rmax = ((Pt*G*Ae*sigma)/((4*math.pi)**2*Smin))**0.25\n",
"\n",
"#Result\n",
"print \"Maximum range possible of the antenna is\",round((Rmax/1E+3),2),\"km\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Maximum range possible of the antenna is 298.28 km\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 11.3, Page number 504"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#calculate sight cross section area\n",
"import math\n",
"\n",
"#Variable declaration\n",
"Pt = 250.*10**3 #peak pulse power(W)\n",
"f = 10.*10**9 #frequency(Hz)\n",
"c = 3.*10**8 #velocity of propagation(m/s)\n",
"G = 4000 #power gain of antenna\n",
"R = 50*10**3 #range(m)\n",
"Pr = 10**-11 #minimum detectable signal(W)\n",
"\n",
"#Calculations\n",
"lamda = c/f\n",
"Ae = (G*lamda**2)/(4*math.pi)\n",
"sigma = (Pr*((4*math.pi*R**2)**2))/(Pt*G*Ae)\n",
"\n",
"#Result\n",
"print \"The radar can sight cross section area of\",round(sigma,2),\"m^2\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The radar can sight cross section area of 34.45 m^2\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 11.4, Page number 505"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#calculate radar's unambiguous range, duty cycle for radar, average power, Bandwidth range for radar\n",
"\n",
"#Variable declaration\n",
"Pt = 400*10**3 #transmitted power(W)\n",
"prf = 1500. #pulse repitiion frequency(pps)\n",
"tw = 0.8*10**-6 #pulse width(sec)\n",
"c = 3.*10**8 #velocity of propagation(m/s)\n",
"\n",
"#Calculations\n",
"#Part a\n",
"Run = c/(2*prf)\n",
"\n",
"#Part b\n",
"dc = tw/(1/prf)\n",
"\n",
"#Part c\n",
"Pav = Pt*dc\n",
"\n",
"#Part d\n",
"n1 = 1\n",
"BW1 = n1/tw\n",
"\n",
"n2 = 1.4\n",
"BW2 = n2/tw\n",
"\n",
"#Results\n",
"print \"The radar's unambiguous range is\",round((Run/1E+3),2),\"km\"\n",
"print \"The duty cycle for radar is\",dc\n",
"print \"The average power is\",round(Pav,2),\"W\"\n",
"print \"Bandwidth range for radar is\",(BW1/1E+6),\"MHz and\",(BW2/1E+6),\"MHz\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The radar's unambiguous range is 100.0 km\n",
"The duty cycle for radar is 0.0012\n",
"The average power is 480.0 W\n",
"Bandwidth range for radar is 1.25 MHz and 1.75 MHz\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 11.5, Page number 505"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#calculate maximum detection range \n",
"import math\n",
"\n",
"#Variable declaration\n",
"Pt = 2.5*10**6 #power output(W)\n",
"D = 5 #antenna diameter(m)\n",
"sigma = 1 #cross sectional area of target(m^2)\n",
"B = 1.6*10**6 #receiver bandwidth(Hz)\n",
"c = 3.*10**8 #velocity of propagation(m/s)\n",
"Nf = 12. #noise figure(dB)\n",
"f = 5*10**9 #frequency(Hz)\n",
"\n",
"#Calculations\n",
"lamda = c/f\n",
"F = 10**(Nf/10)\n",
"Rmax = 48*(((Pt*D**4*sigma)/(B*lamda**2*(F-1)))**0.25)\n",
"\n",
"#Result\n",
"print \"The maximum detection range is\",round(Rmax),\"km\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The maximum detection range is 558.0 km\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 11.6, Page number 506"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#calculate Maximum range with echoing of 50 times and If transmitter power is doubled, range would increase by a factor of\n",
"import math \n",
"\n",
"#Variable declaration\n",
"Rmax = 30 #maximum range of radar(km)\n",
"n = 50 #no. of echos\n",
"\n",
"#Calculation\n",
"R = Rmax*math.sqrt(math.sqrt(n))\n",
"\n",
"#After doubling the power\n",
"R1 = math.sqrt(math.sqrt(2))\n",
"\n",
"#Results\n",
"print \"Maximum range with echoing of 50 times is\",round(R),\"km\"\n",
"print \"If transmitter power is doubled, range would increase by a factor of\",round(R1,2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Maximum range with echoing of 50 times is 80.0 km\n",
"If transmitter power is doubled, range would increase by a factor of 1.19\n"
]
}
],
"prompt_number": 6
}
],
"metadata": {}
}
]
}
|
