1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

A filter with a narrower-than-Fourier Transform passband?

  1. Jan 21, 2012 #1
    If I have a signal that I'd like to filter very precisely (say, a few Hz bandwidth), I feel like the "best" one can possibly do is to take a time sample long enough to get a discrete transform frequency resolution of the same width, erase all but the frequency component of interest, and then transform back.

    But am I supposing the Fourier transform is more fundamental than it really is? Could I use, say, a recursive filter or other set of basis functions, to have a few Hz passband over timescales much shorter than the transform-limit? Or is the (Fourier) transform limit really a fundamental limit?

    Thanks!
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted



Similar Discussions: A filter with a narrower-than-Fourier Transform passband?
  1. Fourier Transform (Replies: 2)

  2. Fourier transform? (Replies: 3)

  3. Fourier Transformations (Replies: 10)

Loading...