广义s变换matlab代码

以下是广义s变换的MATLAB代码：

function [G, H] = gen_s_transform(g, h, s)
% GEN_S_TRANSFORM calculates the generalized s-transform of a given
% function.
%
% Inputs:
% g - function g(s) in the numerator
% h - function h(s) in the denominator
% s - variable of the transform
%
% Outputs:
% G - function G(s) in the numerator of the generalized s-transform
% H - function H(s) in the denominator of the generalized s-transform
%
% Example usage:
% syms s
% [G, H] = gen_s_transform(s, s^2 + 2*s + 1, s)

numerator = sym2poly(g);
denominator = sym2poly(h);

% Calculate the degree of the numerator and denominator
n = length(numerator) - 1;
m = length(denominator) - 1;

% Calculate the coefficients of the generalized s-transform
for i = 0:n+m
sum = 0;
for j = max(0,i-m):min(i,n)
sum = sum + numerator(j+1)*denominator(i-j+1);
end
if i <= n
G(i+1) = sum;
end
H(i+1) = sum;
end

% Convert the coefficients back to symbolic form
G = poly2sym(G, s);
H = poly2sym(H, s);

% Simplify the expressions
G = simplify(G);
H = simplify(H);

end