📄 c6_nltvde.m
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% File: c6_nltvde.m
% Software given here is to accompany the textbook: W.H. Tranter,
% K.S. Shanmugan, T.S. Rappaport, and K.S. Kosbar, Principles of
% Communication Systems Simulation with Wireless Applications,
% Prentice Hall PTR, 2004.
%
w2b=0; w2c=0; % initialize integrators
yd=0; y=0; % initialize differential equation
tfinal = 50; % simulation time
fs = 100; % sampling frequency
delt = 1/fs; % sampling period
npts = 1+fs*tfinal; % number of samples simulated
ydv = zeros(1,npts); % vector of dy/dt samples
yv = zeros(1,npts); % vector of y(t) samples
%
% beginning of simulation loop
%
for i=1:npts
t = (i-1)*delt; % time
if t<20
ydd = 4*exp(-t/2)-3*yd*abs(y)-9*y; % de for t<20
else
ydd = 4*exp(-t/2)-3*yd-9*y; % de for t>=20
end
w1b=ydd+w2b; % first integrator - step 1
w2b=ydd+w1b; % first integrator - step 2
yd=w1b/(2*fs); % first integrator output
w1c=yd+w2c; % second integrator - step 1
w2c=yd+w1c; % second integrator - step 2
y=w1c/(2*fs); % second integrator output
ydv(1,i) = yd; % build dy/dt vector
yv(1,i) = y; % build y(t) vector
end
%
% end of simulation loop
%
plot(yv,ydv) % plot phase plane
xlabel('y(t)') % label x axis
ylabel('dy/dt') % label y zxis
% End of script file.
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