bilt — bilinear or biquadratic transform SISO system given by a zero/poles representation
[npl,nzr,ngn] = bilt(pl,zr,gn,num,den)
a vector, the poles of the given system.
a vector, the zeros of the given system.
a polynomial with degree equal to the degree of
den, the numerator of the
transform.
a polynomial with degree 1 or 2, the denominator of the transform.
a vector, the poles of the transformed system.
a vector, the zeros of the transformed system.
a scalar, the gain of the transformed system.
function for calculating the gain poles and zeros which result from a bilinear transform or from a biquadratic transform. Used by the functions iir and trans.
Hlp=iir(3,'lp','ellip',[0.1 0],[.08 .03]); pl=roots(Hlp.den); zr=roots(Hlp.num); gn=coeff(Hlp.num,degree(Hlp.num))/coeff(Hlp.den,degree(Hlp.den)); z=poly(0,'z'); a=0.3; num=z-a; den=1-a*z; [npl,nzr,ngn] = bilt(pl,zr,gn,num,den) Hlpt=ngn*poly(nzr,'z','r')/poly(npl,'z','r') //comparison with horner horner(Hlp,num/den)