lab6_3

Contents

Direct form II
Suboptimum normal form
Minimum round-off noise form

% state-space representation of 2nd order systems in
% minimum round-off noise form
% lab6_3.m * mw * 023/10/2007
b = [1 0 1]; % numerator
r  = .5:.01:.98;
w  = .02:.01:.98;

Direct form II

Ri2 = zeros(length(r),length(w));
for n1=1:length(r)
    for n2=1:length(w)
         a = [1 -2*r(n1)*cos(pi*w(n2)) r(n1)^2]; % denominator
         ssr2 = ssr_ABCDKW(b,a,'DF2'); % direct form II
         Ri2(n1,n2) = ssr2.W(2,2) + 1;
    end
end
Ri_graph(r,w,Ri2,'DF2')

Suboptimum normal form

RiN = zeros(length(r),length(w));
for n1=1:length(r)
    for n2=1:length(w)
         a = [1 -2*r(n1)*cos(pi*w(n2)) r(n1)^2]; % denominator
         ssrN = ssr_ABCDKW(b,a,'NF2'); %
         RiN(n1,n2) = ssrN.W(1,1) + ssrN.W(2,2) + 1;
    end
end
Ri_graph(r,w,RiN,'NF2')

Minimum round-off noise form

RiM = zeros(length(r),length(w));
for n1=1:length(r)
    for n2=1:length(w)
         a = [1 -2*r(n1)*cos(pi*w(n2)) r(n1)^2]; % denominator
         ssrM = ssr_mron(b,a);   %
         RiM(n1,n2) = 2*ssrM.W(1,1) + 1;
    end
end
Ri_graph(r,w,RiM,'MNF')