[Elecraft] Question - for Educational Purposes
Alan Bloom
n1al at cds1.net
Fri Jul 25 17:36:49 EDT 2008
On Fri, 2008-07-25 at 00:09, David Woolley (E.L) wrote:
> FIR filters cannot ring in the full sense of the word. What they can do
> is to generate a finite pulse of a particular frequency, but that pulse
> is never longer than the filter length. Long filter lengths result in a
> delay in the signal, which can become unacceptable in itself, so systems
> are not designed with extremely long filters.
For signals received by the human ear, the filter length would have to
be really long to be objectionable. For a symmetrical impulse response,
the delay is 1/2 the filter length. For example, assuming a 10 kHz
sample rate and a 1000-tap filter, the delay is only 1/20 second.
To get a decent shape factor, the filter length in seconds needs to be
at least a few times 1/bandwidth. Say 10/BW or so, resulting in 5/BW
delay. So even with a 50 Hz bandwidth, the delay only needs to be on
the order of 1/10 second. I don't think you'd ever notice that in
normal on-the-air operation.
Al N1AL
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