[Uram-rejections] Is the deciBel a misnomer?

webstump+uram-bounces at chiark.greenend.org.uk webstump+uram-bounces at chiark.greenend.org.uk
Mon Jul 1 10:04:59 BST 2019


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 Tone is a bit off.



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> From: Jeff <jeff at ukra.com>
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> Subject: Re: Is the deciBel a misnomer?
> Date: Mon, 1 Jul 2019 09:06:07 +0100
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> On 30/06/2019 16:49, Jeefaw K. Effkay wrote:
> > On Sunday, June 30, 2019 at 2:09:00 PM UTC+1, Gareth's was W7 now W10 Downstairs Computer wrote:
> >> The logarithmic expression of the ratio of two powers,
> >> given as the dimensionless Bels, in honour of Alexander
> >> Graham Bell, is defined as ...
> >>
> >> log10(P1/P2)
> >>
> >> ... so if P1 is twice whatever is P2 this gives (approx) ...
> >>
> >> 0.3 Bel.
> >>
> >> Now, for some reason, despite being au fait with the
> >> concept of logarithms, early workers seemed ill at
> >> ease with decimal fractions and so defined the
> >> deciBel as ...
> >>
> >> 10 * log10(P1/P2)
> >>
> >> so the the double ratio gives (approx) ...
> >>
> >> 3 dB.
> >>
> >> But this is 10 times the reading given in Bels, so
> >> is the term deciBel a misnomer when it should be ...
> >>
> >> dekaBel (Yanks)  or decaBel (rest of world)?
> > 
> 
> A deciBell is a tenth of a Bell. Deci is the multiplier for 1/10
> 
> Deca is the multiplier for X10, so 1 DecaBell would be 10 Bells, which 
> is what your Physics teacher would have beaten out of you for a 
> statement like that.
> 
> Jeff
> 
> 
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