Scilab Website | Contribute with GitLab | Mailing list archives | ATOMS toolboxes
Scilab Online Help
2024.1.0 - Français


ell1mag

magnitude of elliptic filter

Syntax

[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=ellipj(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*delip(1,sqrt(m))-n*%k(m1)      //Check
samples=0:0.01:20;
//Now we map the positive real axis into the contour...
z=alpha*delip(samples/omegac,sqrt(m))+Beta*ones(samples);
plot(samples,ell1mag(epsilon,m1,z))

See also

  • buttmag — Power transmission of a Butterworth filter
Report an issue
<< cheb2mag Filtrage eqfir >>

Copyright (c) 2022-2024 (Dassault Systèmes)
Copyright (c) 2017-2022 (ESI Group)
Copyright (c) 2011-2017 (Scilab Enterprises)
Copyright (c) 1989-2012 (INRIA)
Copyright (c) 1989-2007 (ENPC)
with contributors
Last updated:
Mon Jun 17 17:52:27 CEST 2024