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JaySynth/matlab/osc/blip/eval_blep_hs.asv
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2025-08-21 07:27:52 +02:00

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function eval_blep_hs()
nsin = 1024;
nharm_max = 1800;
L = 48000;
fs = 48000;
fstart = 44;
fend = 44;
df = (fend-fstart)/L
% Calc blep table
nharm = min(fix((fs/fstart/2.0)) + 1, nharm_max)
Hw = kaiser(nsin, 8);
xx = (0:nsin-1)/nsin - 0.5;
for mm=1:nharm,
bb(mm, :) = sin((mm-1)*xx*pi);
end;
aa = sin(xx*pi);
for mm=1:nharm
for nn=1:length(xx)
if (aa(nn) == 0)
blitm(mm,nn) = (mm-1);
else
blitm(mm,nn) = bb(mm, nn)/aa(nn).*Hw(nn);
end
end
end;
for mm=1:nharm
blepm(mm, :) = cumsum(blitm(mm, :))/nsin;
end;
%blep2 = blepm(nharm_max/2+1, :)'
%aa2 = aa(:)'
%bb2 = bb(nharm_max/2+1, :)'
x = 0.5;
x2 = 0.5;
z = 0;
f = fstart;
tri = 0;
NLG = 2;
h = lagrange(1, 0.35)
for n = 1:L,
if x >= 0.5,
x = x - 1;
p = fs/f;
dx = 1.0/p;
m = min(fix((p/2.0)) + 1, nharm_max);
z = ~z;
end;
nn = (x+0.5)*(nsin-1) + 1;
ni = fix(nn);
nf = nn - ni;
h = lagrange(NLG, nf);
% blep = (blepm(m, min(ni+1, nsin)) - blepm(m, ni))*nf + blepm(m, ni);
% blep = h(1)*blepm(m, max(1, ni-3)) + h(2)*blepm(m, max(1, ni-2)) + h(3)*blepm(m, max(1, ni-1)) + h(4)*blepm(m, max(1, ni));
blep = h(NLG+1)*blepm(m, max(1, ni));
j = 1;
for i = NLG:-1:1
blep = blep + h(i)*blepm(m, max(1, ni-j));
j = j + 1;
end;
saw = x - blep;
if (z == 0)
sqr = blep;
else
sqr = 1-blep;
end
tri = tri + 2*(sqr-0.5)*dx;
vtri(n) = tri;
vsaw(n) = saw+0.5;
vsqr(n) = 0.5*(sqr-0.5);
vblep(n) = blep;
x = x + dx;
f = f + df;
end;
close all
plot(1:nsin, blepm(fix(nharm/2), :)); grid;
wavwrite(0.5*vtri, fs, 'tri.wav');
wavwrite(0.5*vsqr, fs, 'sqr.wav');
wavwrite(0.5*vsaw, fs, 'saw.wav');
wavwrite(0.5*vblep, fs, 'blep.wav');
function h = lagrange(N, delay)
%LAGRANGE h=lagrange(N,delay) returns order N FIR
% filter h which implements given delay
% (in samples). For best results,
% delay should be near N/2 +/- 1.
n = 0:N;
h = ones(1,N+1);
for k = 0:N
index = find(n ~= k);
h(index) = h(index) * (delay-k)./ (n(index)-k);
end