Whoop, meant to send this reply to the list: A filter's transfer function simultaneously describes its response to a > one-sample impulse *and* its response to any complex frequency in the > z-domain. There's no need to compromise. > The reason for this? Applying a filter to a signal is the same as > convolving the signal by the filter's impulse response. Convolution in the > time domain, as exemplified by filters, is identical to multiplication in > the frequency domain. Thus we can look at any point in the transfer > function (as evaluated in the z-domain) and derive the effect the described > filter will have on that frequency.
To expand on that: When we graph the filter response, the transfer function is what's getting graphed. A magnitude chart depicts the logarithm of the transfer function's magnitude for e^(iw) where w is angular frequency; a phase chart depicts the imaginary part of the logarithm. – Evan Balster creator of imitone <http://imitone.com> On Tue, Feb 7, 2017 at 10:10 AM, Roman Thilenius <[email protected]> wrote: > > > isnt that exactly the same as sending a stream of one spike into the > filter? > > i am just not so sure if the transfer function itself really describes the > "response curve" best. :) > > > > On Jan 17, 2017, at 6:30 PM, Evan Balster wrote: > > I must disagree. The cleanest way to compute the transfer function, is to >> compute the transfer function, directly — you'll get an exact answer, with >> minimal computational expense. >> > > > _______________________________________________ > Do not post admin requests to the list. They will be ignored. > Coreaudio-api mailing list ([email protected]) > Help/Unsubscribe/Update your Subscription: > https://lists.apple.com/mailman/options/coreaudio-api/evan%40imitone.com > > This email sent to [email protected] >
_______________________________________________ Do not post admin requests to the list. They will be ignored. Coreaudio-api mailing list ([email protected]) Help/Unsubscribe/Update your Subscription: https://lists.apple.com/mailman/options/coreaudio-api/archive%40mail-archive.com This email sent to [email protected]
