invfreqs [signal]
Usage: [B,A] = invfreqs(H,F,nB,nA)
[B,A] = invfreqs(H,F,nB,nA,W)
[B,A] = invfreqs(H,F,nB,nA,W,iter,tol,'trace')

Fit filter B(s)/A(s)to the complex frequency response H at frequency
points F.  A and B are real polynomial coefficients of order nA and nB.
Optionally, the fit-errors can be weighted vs frequency according to
the weights W.
Note: all the guts are in invfreq.m

H: desired complex frequency response
F: frequency (must be same length as H)
nA: order of the denominator polynomial A
nB: order of the numerator polynomial B
W: vector of weights (must be same length as F)

Example:
B = [1/2 1];
A = [1 1];
w = linspace(0,4,128);
H = freqs(B,A,w);
[Bh,Ah] = invfreqs(H,w,1,1);
Hh = freqs(Bh,Ah,w);
plot(w,[abs(H);abs(Hh)])
legend('Original','Measured');
err = norm(H-Hh);
disp(sprintf('L2 norm of frequency response error = %f',err));