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Scilab manual >> Signal Processing > ell1mag

# ell1mag

magnitude of elliptic filter

### Calling Sequence

`[v]=ell1mag(eps,m1,z)`

### Arguments

eps

passband ripple=`1/(1+eps^2)`

m1

stopband ripple=`1/(1+(eps^2)/m1)`

z

sample vector of values in the complex plane

v

elliptic filter values at sample points

### Description

Function used for squared magnitude of an elliptic filter. Usually `m1=eps*eps/(a*a-1)`. Returns `v=real(ones(z)./(ones(z)+eps*eps*s.*s))` for `s=%sn(z,m1)`.

### Examples

```deff('[alpha,BeTa]=alpha_beta(n,m,m1)',...
'if 2*int(n/2)==n then, BeTa=K1; else, BeTa=0;end;...
alpha=%k(1-m1)/%k(1-m);')
epsilon=0.1;A=10;  //ripple parameters
m1=(epsilon*epsilon)/(A*A-1);n=5;omegac=6;
m=find_freq(epsilon,A,n);omegar = omegac/sqrt(m)
%k(1-m1)*%k(m)/(%k(m1)*%k(1-m))-n   //Check...
[alpha,Beta]=alpha_beta(n,m,m1)
alpha*%asn(1,m)-n*%k(m1)      //Check
sample=0:0.01:20;
//Now we map the positive real axis into the contour...
z=alpha*%asn(sample/omegac,m)+Beta*ones(sample);
plot(sample,ell1mag(epsilon,m1,z))```

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