It's the average frequency of human voice.  if you look at a conversation on
a osciliscope, it averages out to 4k, so you double that and get the 8k
sample rate.

--

RFC 1149 Compliant.


""John Neiberger""  wrote in message
[EMAIL PROTECTED]">news:[EMAIL PROTECTED]...
> I understand all that, but what I don't remember is why there
> is a 4KHz low-pass filter on voice lines.  I know I've read the
> reason before but I just can't recall what it was.  Was it
> simply arbitrary?  A 4KHz upper limit is obviously sufficient
> for voice quality.  Did someone just pick that limit and filter
> out everything above it, possibly to filter noise or something?
>
> Hmm...this is bugging me now.  :-)
>
> But I can't be distracted right now, I'm trying to
> study...which explains why I keep taking time out to check my
> email and search the internet for MP3s of Clannad.  :-)  I did
> just find a killer sampler of Celtic stuff.  Very relaxing...
>
> John
>
>
> ________________________________________________
> Get your own "800" number
> Voicemail, fax, email, and a lot more
> http://www.ureach.com/reg/tag
>
>
> ---- On Tue, 26 Feb 2002, Annlee Hines ([EMAIL PROTECTED])
> wrote:
>
> > All right, John--
> >
> > A couple of years ago (discreet cough), Cisco gave away
> copies of books
> > as
> > promos. One was _IP Telephony_ by Gorlaski and Kolon (McGraw
> Hill,
> > 2000).
> > GOOD BOOK. On pp 77-78 is an explanation of the Nyquist rate
> and voice
> > sampling:
> >
> > "...Thus, if an analog voice signal reaching up to 3400Hz is
> to be
> > sampled
> > at the Nyquist rate, the sampling frequency must be at least
> twice that,
> > or
> > 6800Hz, or samples per second.
> >
> > "Sampling does not have to be done at the Nyquist rate. The
> Nyquist rate
> > is
> > a minimal requirement to reproduce the input waveform, but
> sampling can
> > be
> > done at rates higher or lower than the Nyquist rate. If
> sampling takes
> > place
> > at rates lower than the Nyquist rate, the result is
> distortion of the
> > waveform known as (italics) aliasing. Aliasing just means
> that there is
> > more
> > than one output waveform that fits the 'connect the dots'
> pattern of the
> > samples. There is no aliasing ast the Nyquist rate and above."
> >
> > They go on to point out that, by sampling at a rate above the
> Nyquist
> > rate,
> > you have more than the minimum required information to
> reliably
> > reconstruct
> > the voice signal at the destination. This allows you to lose
> a few
> > samples
> > in transit (not that such things would ever happen, of
> course) and still
> > have only one possible reconstruction. Sampling at 8000Hz
> means there is
> > a
> > 4000Hz voice bandwidth (overly generous but convenient
> because 4 is a
> > power
> > of 2 and that makes it easier to code in a binary system).
> >
> > And from the 8000 samples/sec, each of which sends 1 8-bit
> word, we have
> > the
> > DS0 of 64000 bps (why only 56000 bps may be usable is a
> separate issue,
> > having to do with signaling on telephone links).
> >
> > Annlee
> > ""John Neiberger""  wrote in message
> > [EMAIL PROTECTED]">news:[EMAIL PROTECTED]...
> > > This is OT, but the upper limit of human hearing is actually
> > > around 20KHz at best and usually drops to around 16KHz or
> so.
> > > If your upper limit starts to drop below that you'll start
> to
> > > notice that it's difficult to hear clearly.  (Sorry, in my
> > > other life I'm a sound engineer and musician.)
> > >
> > > I've heard that the 4KHz limit is because there is a low-
> pass
> > > filter used for voice.  I can't remember the exact reason,
> but
> > > that information plugged into the Nyquist theorem explains--
> as
> > > Priscilla mentions--why a DS0 is 64Kbps.
> > >
> > > Okay, time to do some serious studying once I'm through
> being
> > > lazy and drinking this coffee...
> > >
> > > John
> > >
> > > ---- On Tue, 26 Feb 2002, Priscilla Oppenheimer
> > > ([EMAIL PROTECTED]) wrote:
> > >
> > > > At 08:06 PM 2/26/02, Rafay wrote:
> > > > >How do you describe Sample Rate.?
> > > >
> > > > In what context? The term is sometimes used when
> describing
> > > the analog
> > > > to
> > > > digital process, for example when digitizing voice. Voice
> > > produces an
> > > > analog wave as your lungs and tongue press against the
> air.
> > > An analog
> > > > wave
> > > > has infinite possible values. Computers can't deal with
> > > infinity. They
> > > > work
> > > > with discreet numbers. The solution is to sample the
> analog
> > > voice many
> > > > times per second. Sampling means to take a snapshot.
> > > >
> > > > The sample rate is how often the analog wave is sampled.
> > > Nyquist showed
> > > > that you have to sample at twice the rate of the highest
> > > frequency that
> > > > may
> > > > occur in the original data. Most humans don't output (and
> > > can't hear)
> > > > anything about 4 KHz. So sample 8,000 times per second
> (8Khz)
> > > and the
> > > > result will be good enough. When using a sample rate of
> 8,000
> > > KHz, if
> > > > each
> > > > sample is saved in an 8-bit byte, the resulting data rate
> is
> > > 64 Kbps.
> > > > That's one DS0. Compression allows us to use a smaller
> data
> > > rate, with
> > > > some
> > > > loss in fidelity.
> > > >
> > > > Priscilla
> > > > ________________________
> > > >
> > > > Priscilla Oppenheimer
> > > > http://www.priscilla.com
> > > [EMAIL PROTECTED]
> > > >
> > > >
> > >
> > >
> > > ________________________________________________
> > > Get your own "800" number
> > > Voicemail, fax, email, and a lot more
> > > http://www.ureach.com/reg/tag
> [EMAIL PROTECTED]




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