📄 e732.m
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%------------------------------------------------------------------
% Example 7.3.2: Differentiation of Filtered Noisy Data
%------------------------------------------------------------------
clc
clear
global q h z
q = 256;
h = 1;
z = zeros (q,1);
p = 3;
e = 0;
n = 2;
m = -1;
dn = 0.002;
fc = 0.5;
t = zeros (q,1);
y = zeros (q,1);
noise = randg (q,1,0,dn);
b = zeros (2*p+1,1);
v = zeros (2*p+1,1);
D = zeros (q,2);
f1 = inline ('exp(-z/64)*sin(pi*z/32)','z');
randinit (0);
% Construct signals
fprintf ('Example 7.3.2: Differentiation of Filtered Noisy Data\n');
for i = 1 : q
t(i) = (i - 1)*h;
y(i) = f1(t(i)) + noise(i);
end
% Filter the signal
b = fir ('fung732',p);
show ('filter coefficients',b)
for i = 1 : q
[v,z(i)] = arma (y(i),b,v,0,2*p);
end
% Compute derivatives
for i = 1 : q
D(i,1) = deriv (i,h,n,m,e,f1);
D(i,2) = deriv (i,h,n,m,e,'funf732');
end
graphxy (t,D,'Derivative','k','z''')
%------------------------------------------------------------------
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