📄 phadet.m
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% Active Phased Array Detection Range
% Against Low RCS Targets
% ----------------------------------------
clear;clc;clf;
% Antenna Effective Aperture
Ar=5; % sq. m
% Enter Frequency Range
fmin=1;fmax=10;
f=fmin:fmax;
% Enter Radar Parameters
% Swerling Case 0 Target
ts=1; % Search Frame Time - s
RCS1=.1; % Radar Cross-Section - sq. m
RCS2=.01; % Radar Cross-Section - sq. m
RCS3=.001; % Radar Cross-Section - sq. m
ang=1; % Search Coverage - steradians
k=1.38e-23; % Boltzman's Constant - w/(Hz-Ko)
NF=3; % Receiver Noise Figure - dB
Sa=13; % SNR for Pd=.9;Pfa=1e-6 - dB
Ls=10; % System Losses - dB
eff=.7; % Antenna Aperture Efficiency
F=10^(NF/10);Sa=10^(Sa/10);Ls=10^(Ls/10);
% Find System Noise Temperature
Ts=293*(F-1)+150;
% Assume Linear Increase of 2 w Module Power
% Inversely Proportional to Frequency at 10 GHz
Pm=2*10./f; % watts
% Find Number of Modules with wl/2 Spacing
wl=.3./f;
n=sqrt(Ar)./(wl/2);
% Find Average Power
Pa=Pm.*n.^2;
% Compute Missile Detection Range
R1=(Pa*Ar*ts*RCS1/(4*pi*ang*k*Ts*Sa*Ls)).^.25;
R2=(Pa*Ar*ts*RCS2/(4*pi*ang*k*Ts*Sa*Ls)).^.25;
R3=(Pa*Ar*ts*RCS3/(4*pi*ang*k*Ts*Sa*Ls)).^.25;
% Plot Range vs Frequency
plot(f,R1/1000,f,R2/1000,f,R3/1000);grid;
ylabel('Range - km');
xlabel('Frequency - GHz');
title(['Active Aperture Phased Array Detection Range']);
text(6.5,70,'RCS = 0.001 sq. m');
text(4,110,'RCS = 0.01 sq. m');
text(1.5,160,'RCS = 0.1 sq. m');
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