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FOTF Toolbox/charef_fod.m
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22
FOTF Toolbox/charef_fod.m
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function G=charef_fod(alpha,pT,delta,wM)
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% charef_fod - design function for the Charef filter
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%
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% H=charef_fod(alpha,pT,delta,wM)
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%
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% alpha - the fractional order
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% pT - the turning frequency
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% delta - the error tolerance in dBs
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% wM - maximum frequency
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% H - the Charef filter designed
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% Copyright (c) Dingyu Xue, Northeastern University, China
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% Last modified 28 March, 2017
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% Last Modified 18 May, 2022
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arguments
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alpha(1,1)double, pT(1,1)double, delta(1,1)double, wM(1,1)double
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end
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p0=pT*10^(delta/20/alpha);
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a=10^(delta/10/(1-alpha)); b=10^(delta/10/alpha);
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n=ceil(log(wM/p0)/log(a*b)); ii=1:n; p=p0*(a*b).^ii;
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p=[p0 p]; z=a*p(1:n); K=prod(p)/prod(z); G=zpk(-z,-p,K);
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end
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