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Article #16900

Re: What is the limit of a MODEM?

#16900
From: Glenn A Sullivan
Date: Thu, 28 Jan 1993 02:30
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lo@pi.uleth.ca (Zachary Lo) writes:..........
> I wonder any of you can send information about the transmit speed limit
> of a electronic modem which is used in a computer.

Claude Shannon first showed that relay logic could implement Boolean logic
operations. This was important since we thus were assured that anything
mathematics indicated was computable, was computable by physical objects.
(They may make me retake my CS PhD quals after that statement!)

He also invented information theory. As part of that, we can compute the
maximum bit-rate for a limited-bandwidth channel with finite signal/noise
ratio. (Note the MAXIMUM, LIMITED, FINITE)

MAximum bit-rate = 2 * (channel bandwidth) * LOGbase2(1 +SNR)

So if the noise power is 127th of the signal power, and the channel bandwidth
is 3000 cycles/sec [I used to own an RCA #80 vacuum tube], we compute the
bit-rate limit as
	2 * 3000 * log2(1 + 128)  = 6000 * 7 = 42,000 bits per second.

Sounds kind of high.

Probably just (channel bandwidth) * LOGbase2(1 + SNR)

Allen SUllivan
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Message-ID: <1993Jan28.023029.7670@ennews.eas.asu.edu>
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References: <lo.728027132@honte>

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From: gsulliva@enuxha.eas.asu.edu (Glenn A Sullivan)
Subject: Re: What is the limit of a MODEM?
Message-ID: <1993Jan28.023029.7670@ennews.eas.asu.edu>
Summary: What said about bit rate lmits thru a channel
Keywords: Tools of AI.
Sender: news@ennews.eas.asu.edu (USENET News System)
Organization: Arizona State University
References: <lo.728027132@honte>
Date: Thu, 28 Jan 1993 02:30:29 GMT
Lines: 29