tf2zp.m

数字通信第四版原书的例程

function [z,p,k] = tf2zp(num,den)
%TF2ZP	Transfer function to zero-pole conversion.
%	[Z,p,k] = TF2ZP(NUM,den)  finds the zeros, poles, and gains:
%
%		          (s-z1)(s-z2)...(s-zn)
%		H(s) =  K ---------------------
%		          (s-p1)(s-p2)...(s-pn)
%
%	from a SIMO transfer function in polynomial form:
%
%		        NUM(s)
%		H(s) = -------- 
%		        den(s)
%
%	Vector DEN specifies the coefficients of the denominator in 
%	descending powers of s.  Matrix NUM indicates the numerator 
%	coefficients with as many rows as there are outputs.  The zero
%	locations are returned in the columns of matrix Z, with as many 
%	columns as there are rows in NUM.  The pole locations are returned
%	in column vector P, and the gains for each numerator transfer 
%	function in vector K. 
%	
%	See also: ZP2TF.

%	Clay M. Thompson 11-6-90 
%	Revised ACWG 1-17-90
%	Copyright (c) 1986-93 by the Mathworks, Inc.

[num,den] = tfchk(num,den);

% Normalize transfer function
if length(den)
	coef = den(1);
else
	coef = 1;
end
if abs(coef)<eps,
  error('Denominator must have non-zero leading coefficient.');
end
den = den./coef;
num = num./coef;

% Remove leading columns of zeros from numerator
if length(num)
	while(all(num(:,1)==0) & length(num) > 1)
		num(:,1) = [];
	end
end
[ny,np] = size(num);

% Poles
p  = roots(den);

% Zeros and Gain
k = zeros(ny,1);
z = Inf*ones(np-1,ny);
for i=1:ny
  zz = roots(num(i,:));
  if length(zz), z(1:length(zz), i) = zz; end
  ndx = find(num(i,:)~=0);
  if length(ndx), k(i,1) = num(i,ndx(1)); end
end