diff options
Diffstat (limited to '2048/DEPENDENCIES/gpc_N.sci')
-rw-r--r-- | 2048/DEPENDENCIES/gpc_N.sci | 31 |
1 files changed, 31 insertions, 0 deletions
diff --git a/2048/DEPENDENCIES/gpc_N.sci b/2048/DEPENDENCIES/gpc_N.sci new file mode 100644 index 000000000..2abbe0f74 --- /dev/null +++ b/2048/DEPENDENCIES/gpc_N.sci @@ -0,0 +1,31 @@ +// Calculates the GPC law given by Eq. 12.36 on page 446.
+// 12.5
+
+function [K,KH1,KH2,Tc,dTc,Sc,dSc,R1,dR1] = ...
+gpc_N(A,dA,B,dB,k,N1,N2,Nu,rho)
+D=[1 -1]; dD=1; AD=convol(A,D); dAD=dA+1;
+zj = 1; dzj = 0;
+for i = 1:N1+k-1
+ zj = convol(zj,[0,1]); dzj = dzj + 1;
+end
+G = zeros(N2-N1+1,Nu+1);
+H1 = zeros(N2-N1+1,k-1+dB); H2 = zeros(N2-N1+1,dA+1);
+for j = k+N1:k+N2
+ zj = convol(zj,[0,1]); dzj = dzj + 1;
+ [Fj,dFj,Ej,dEj] = xdync(zj,dzj,AD,dAD,1,0);
+ [Gj,dGj] = polmul(B,dB,Ej,dEj);
+ if (j-k >= Nu)
+ G(j-(k+N1-1),1:Nu+1) = flip(Gj(j-k-Nu+1:j-k+1));
+else
+ G(j-(k+N1-1),1:j-k+1) = flip(Gj(1:j-k+1));
+end
+ H1(j-(k+N1-1),1:k-1+dB) = Gj(j-k+2:j+dB);
+ H2(j-(k+N1-1),1:dA+1) = Fj;
+end
+K = inv(G'*G+rho*eye(Nu+1,Nu+1))*G';
+// Note: inverse need not be calculated
+KH1 = K * H1; KH2 = K * H2;
+R1 = [1 KH1(1,:)]; dR1 = length(R1)-1;
+Sc = KH2(1,:); dSc = length(Sc)-1;
+Tc = K(1,:); dTc = length(Tc)-1;
+endfunction;
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