Article View: comp.dsp
Article #1354Re: Why do FIR filters always have odd tap counts?
From: Brad Hedstrom
Date: Thu, 06 Dec 1990 09:56
Date: Thu, 06 Dec 1990 09:56
22 lines
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1755 bytes
In article <18193@netcom.UUCP> mcmahan@netcom.UUCP (Dave Mc Mahan) writes:
> I have done some playing around with FIR filters for various purposes, and
> always find something peculiar. FIR filters always have odd tap counts.
> Why is that? I have looked in various DSP books, but can find no hint as
> to why that fact is true. The books I have looked in, however, always use
> odd tap counts. Can somebody give me a good, clear explaination? I'm more
> interested in a real explaination rather than pointers to books or
> articles, but will try to find the articles if sited.
A.V. Oppenheim and R.W. Schafer, Digital Signal Processing, 1975, pg.
238.
"We note that for the case of N [the filter length] odd, the
phase shift corresponds to an integer number of samples delay, while
for N even, the delay is an integer plus one-half sample."
This also assumes linear phase filter (the coefficients are
symmetric).
_____________________________________________________________________________
Brad Hedstrom, University of Victoria, ECE Dept.
Internet: hedstrom@sirius.uvic.ca
UUCP: ...!{uw-beaver,ubc-vision}!uvicctr!hedstrom
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Path: arc1-ca.pugleaf.net!utzoo!censor!geac!torsqnt!news-server.csri.toronto.edu!cs.utexas.edu!usc!zaphod.mps.ohio-state.edu!van-bc!ubc-cs!sol.UVic.CA!sirius!hedstrom From: hedstrom@sirius.UVic.CA (Brad Hedstrom) Newsgroups: comp.dsp Subject: Re: Why do FIR filters always have odd tap counts? Message-ID: <HEDSTROM.90Dec6095652@pollux.UVic.CA> Date: 6 Dec 90 09:56:52 GMT References: <18193@netcom.UUCP> Sender: news@sol.UVic.CA Organization: University of Victoria, Victoria, BC, Canada Lines: 22 In-Reply-To: mcmahan@netcom.UUCP's message of 6 Dec 90 07:02:05 GMT Nntp-Posting-Host: pollux.uvic.ca