📄 fpr.m
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%FRACTIONAL PITCH REFINEMENT
%PRECONDITION: INTPITCH(T);signal(s)(240samples,180samples of current frame and
% 60samples of next frame,cT_T-
%POSTCONDITION: Fractal pitch and corresponding autocorrelation
% fp is the fractional pitch;fr is the autocorrelation
%Input:
% sig(input signal)
% T(input integer pitch)
%Output:
% fp(fractal pitch)
% fr(corresponding correlation)
function [fp,fr]=fpr(sig,T)
k=fix(T/2);
%autocorrelation
c0_tm1=sig(100-k:259-k)*sig(100-k+T-1:259-k+T-1)'; %c(0,t-1)
c0_t1=sig(100-k:259-k)*sig(100-k+T+1:259-k+T+1)'; %c(0,t+1)
c0_t=sig(100-k:259-k)*sig(100-k+T:259-k+T)'; %c(0,t)
if c0_tm1>c0_t1 %judge the range of fp
c0_t1=c0_t;
c0_t=c0_tm1;
T=T-1;
end
ct_t=sig(100-k+T:259-k+T)*sig(100-k+T:259-k+T)'; %c(t,t)
c0_0=sig(100-k:259-k)*sig(100-k:259-k)'; %c(0,0)
ct_t1=sig(100-k+T:259-k+T)*sig(100-k+T+1:259-k+T+1)'; %c(t,t+1)
ct1_t1=sig(100-k+T+1:259-k+T+1)*sig(100-k+T+1:259-k+T+1)'; %c(t+1,t+1)
%correlation parameter
den=c0_t1*(ct_t-ct_t1)+c0_t*(ct1_t1-ct_t1);
if abs(den)>0.01
delta=(c0_t1*ct_t-c0_t*ct_t1)/den;
else
delta=0.5;
end
if delta<-1
delta=-1;
end
if delta>2
delta=2;
end
fp=T+delta; %add the offset to the integer pitch
den=c0_0*(ct_t*(1-delta)^2+2*delta*(1-delta)*ct_t1+delta^2*ct1_t1);
den=sqrt(den);
if den>0.01
fr=((1-delta)*c0_t+delta*c0_t1)/den;
else
fr=0;
end
if fp<20
fp=20;
end
if fp>160
fp=160;
end
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