Can one predict the frequency response of filters from difference equations?
I haven't quite understood how one could tell that y(n)=x(n)+x(n-1) is a low-pass filter, because it looks like a comb filter and it has no concept of frequency. Or maybe the intuition that the output is a "summary" i.e. an "average" of two samples. And certainly it should lose high-frequency characteristics, because it summarizes more samples to fewer samples. However, there's no concept of cutoff frequency.
I haven't quite understood how one could tell that y(n)=x(n)+x(n-1) is a low-pass filter, because it looks like a comb filter and it has no concept of frequency. Or maybe the intuition that the output is a "summary" i.e. an "average" of two samples. And certainly it should lose high-frequency characteristics, because it summarizes more samples to fewer samples. However, there's no concept of cutoff frequency.
Statistics: Posted by soundmodel — Sun Feb 04, 2024 8:12 am — Replies 1 — Views 91