570 C H A P T E R 9: The Z-Transform
9.25. Prony method and Z-Transform—MATLAB
Consider finding the Z-transform of a noncausal signalh[n]=0.5nu[n+1]using the Prony approxima-
tion.
(a) Use thepronyfunction to find a rational approximation forh[n](i.e., the Z-transformH(z)=B(z)/A(z)).
Use a first order for the numerator and the denominator.
(b) Separate the signal into its causal and anti-causal components, and usepronyto find the rational
approximation of the causal and then add the anti-causal component to correct the above result.