On 05/30, Dario Sanfilippo wrote:
>
> > And. It seems that the implementation above is "equal" to
> >
> >         lpbi(cf) = fi.tf2s(0,0,1, 1/.707, 1, 2*ma.PI/ma.SR * cf);
> >
> > ?
> >
> > or simply
> >
> >         lpbi(cf) = resonlp(cf, .707, 1);
> >
> > no ?
> >
>
> I must be doing something wrong with fi.tf2f but I get no response when
> testing it like this:
>
> process =   f2.lpbi(1000, au.dirac),
>
>             (au.dirac : fi.tf2s(0,0,1, 1/.707, 1, 2*ma.PI/ma.SR * 1000)),
                                                           ^^^^^^

typo. please try

        fi.tf2s(0,0,1, 1/.707, 1, 2*ma.PI * 1000)

>             (au.dirac : fi.resonlp(1000, .707, 1));

btw, you could write

        process = au.dirac <:
                f2.lpbi(1000),
                fi.tf2s(0,0,1, 1/.707, 1, 2*ma.PI * 1000),
                i.resonlp(1000, .707, 1);

this looks more simple. and au.dirac is os.impulse ;)

> On the other hand, the impulse response of f2.lpbi and fi.resonlp are
> identical:

I think tf2s() should have the same response if you remove "/ma.SR"...

> Perhaps the zero-delay feedback design in Zavalishin is not in the Faust
> filters and it could be integrated. He claims that such filters, even at
> orders higher than 1 or 2, are more stable in time-variant configurations
> than the others.

If you want a second order zdf please consider the code below. I did some
naive non-scientific tests and to me it really works better than even tf2snp
when modulated.

Oleg.

-------------------------------------------------------------------------------
// http://www.cytomic.com/files/dsp/SvfLinearTrapOptimised2.pdf
import("stdfaust.lib");

svf = environment {
        svf(T,F,Q,G) = tick ~ (_,_) : !,!,_,_,_ : si.dot(3, mix)
        with {
                tick(ic1eq, ic2eq, v0) =
                        2*v1 - ic1eq,
                        2*v2 - ic2eq,
                        v0, v1, v2
                with {
                        v1 = ic1eq + g *(v0-ic2eq) : /(1 + g*(g+k));
                        v2 = ic2eq + g * v1;
                };

                A = pow(10.0, G / 40.0);

                g = tan(F * ma.PI / ma.SR) : case {
                        (7) => /(sqrt(A));
                        (8) => *(sqrt(A));
                        (t) => _;
                } (T);

                k = case {
                        (6) => 1/(Q*A);
                        (t) => 1/Q;
                } (T);

                mix = case {
                        (0) => 0, 0, 1;
                        (1) => 0, 1, 0;
                        (2) => 1, -k, -1;
                        (3) => 1, -k, 0;
                        (4) => 1, -k, -2;
                        (5) => 1, -2*k, 0;
                        (6) => 1, k*(A*A-1), 0;
                        (7) => 1, k*(A-1), A*A-1;
                        (8) => A*A, k*(1-A)*A, 1-A*A;
                } (T);
        };

        lp(f,q)         = svf(0, f,q,0);
        bp(f,q)         = svf(1, f,q,0);
        hp(f,q)         = svf(2, f,q,0);
        notch(f,q)      = svf(3, f,q,0);
        peak(f,q)       = svf(4, f,q,0);
        ap(f,q)         = svf(5, f,q,0);
        bell(f,q,g)     = svf(6, f,q,g);
        ls(f,q,g)       = svf(7, f,q,g);
        hs(f,q,g)       = svf(8, f,q,g);
};



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