Hi,

Not quite - you can’t iterate linearly through the biquad’s coefficients. 
Instead you have to iterate through the frequency and repeatedly calculate the 
coefficients (a1,2,3 and b1,2,3, depending). this is normally not ~too~ 
expensive an operation, although that’s all relative.

Ariadne
On Apr 27, 2023 at 2:57 PM -0700, Yisheng Jiang <[email protected]>, 
wrote:
> It took a couple days for your suggestion to sink it (possibly)
>
> > On Apr 25, 2023, at 9:19 PM, Ariadne Lewis-Towbes <[email protected]> wrote:
> >
> > Hi,
> >
> > You won't be able to fade between two filtered blocks of complex 
> > (non-sinusoidal) input to the same effect as modulating an arbitrary single 
> > filter's frequency. That said, when modulating an IIR filter such as a 
> > biquad (as shown in your second email's link), you should not need to 
> > compute the z-transform. You may simply modulate the biquad's parameters 
> > repeatedly,
>
> By this you mean compute biquad parameters for start and ending freq, then 
> incrementing the a0, a1 etc?
>
> > and unless you're doing something unusual with respect to calculating those 
> > parameters, the cost will be relatively low.
> >
> > Best,
> > Ariadne Lewis-Towbes
> >
> > On 2023-04-25 20:37, Yisheng Jiang wrote:
> > > I’m trying to render a note that feed into a IIR filter (2-3 poles)
> > > whose cutoff frequency following an envelope generator, and it’s not
> > > possible for me to compute the z-transform parameters every rendering
> > > block..
> > > Is it approximately the same to generate two pcm streams with the
> > > starting and ending cutoff frequencies, then cross fade them to make
> > > the resultant sound?

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