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# bilt

bilinear or biquadratic transform SISO system given by a zero/poles representation

### Calling Sequence

[npl,nzr,ngn] = bilt(pl,zr,gn,num,den)

### Arguments

- pl
a vector, the poles of the given system.

- zr
a vector, the zeros of the given system.

- num
a polynomial with degree equal to the degree of

`den`

, the numerator of the transform.- den
a polynomial with degree 1 or 2, the denominator of the transform.

- npl
a vector, the poles of the transformed system.

- nzr
a vector, the zeros of the transformed system.

- ngn
a scalar, the gain of the transformed system.

### Description

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.

### Examples

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)

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