- #1
mnb96
- 715
- 5
Hello,
I know that Finite Impulse Response (FIR) filters can be equivalently expressed as a convolution. The effect of convolution in frequency domain is well known. In conclusion it is easy to make sense of FIR filters.
My questions are:
- can also Infinite Impulse Response (IIR) filters be given a similar interpretation?
Are they convolution of some sort?
- There exists some digital IIR filters which manipulate the frequencies of the signal (e.g. low-pass, hi-pass, etc...).
How can one design an IIR filter which does specific operations to frequencies if we don't know how to handle it mathematically?
Alternatively, how can you prove that a low-pass IIR filter in time-domain, does indeed filter frequencies?
I know that Finite Impulse Response (FIR) filters can be equivalently expressed as a convolution. The effect of convolution in frequency domain is well known. In conclusion it is easy to make sense of FIR filters.
My questions are:
- can also Infinite Impulse Response (IIR) filters be given a similar interpretation?
Are they convolution of some sort?
- There exists some digital IIR filters which manipulate the frequencies of the signal (e.g. low-pass, hi-pass, etc...).
How can one design an IIR filter which does specific operations to frequencies if we don't know how to handle it mathematically?
Alternatively, how can you prove that a low-pass IIR filter in time-domain, does indeed filter frequencies?