📄 dir2cas.m
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function [b0,B,A] = dir2cas(b,a);% DIRECT-form to CASCADE-form conversion (cplxpair version)% ---------------------------------------------------------% [b0,B,A] = dir2cas(b,a)% b0 = gain coefficient% B = K by 3 matrix of real coefficients containing bk's% A = K by 3 matrix of real coefficients containing ak's% b = numerator polynomial coefficients of DIRECT form% a = denominator polynomial coefficients of DIRECT form% compute gain coefficient b0b0 = b(1); b = b/b0;a0 = a(1); a = a/a0;b0 = b0/a0;%M = length(b); N = length(a);if N > M b = [b zeros(1,N-M)];elseif M > N a = [a zeros(1,M-N)]; N = M;else NM = 0;end%K = floor(N/2); B = zeros(K,3); A = zeros(K,3);if K*2 == N; b = [b 0]; a = [a 0];end% broots = cplxpair(roots(b));aroots = cplxpair(roots(a));for i=1:2:2*K Brow = broots(i:1:i+1,:); Brow = real(poly(Brow)); B(fix((i+1)/2),:) = Brow; Arow = aroots(i:1:i+1,:); Arow = real(poly(Arow)); A(fix((i+1)/2),:) = Arow;end
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