--- In Repeater-Builder@yahoogroups.com, Matthew Kaufman <matt...@...> wrote:

" Reducing the modulation index and simultaneously reducing the receiver 
bandwidth from 5 to 2.5 kHz results in a situation which requires ~6 db more 
signal level for the same demodulated quality (ex. 12db SINAD)"

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I believe that this is a point which requires further evaluation.  As 
Jacobsmeyer points out in the article "CUT YOUR LOSSES", TSB-88 documents the 
need for a 6 dB increase in C/N required for 12 dBS at narrowband versus 
wideband but that does not equate to "6 db more signal level for the same 
demodulated quality (ex. 12db SINAD)"


Signal level [carrier] is an absolute whereas noise is not.  Any stated noise 
level value MUST be considered in the context of a reference of some sort - for 
example - one might state "The noise measures -155 dBm/Hz."  This value is 
meaningful because it is referenced to a specific bandwidth - in this case 
normalized to a one Hz ENBW [Equivalent Noise BandWidth]

An examination of the 6 dB difference in C/N stated in TSB-88 should lead one 
to consider the "N" value for wideband versus the "N" value for narrowband.  
The "N" in each of these cases is actually the value of noise within the 
receiver's ENBW.  

As others have stated, narrowband receivers have narrower IF filters and 
therefore, the ENBW is less.  Assuming a receiver IF bandwidth optimized based 
on Carson's rule, the result is that the value of "N" is 3dB less.

[For a specific radio where the only difference is wideband versus narrowband, 
in absolute terms of dBm/Hz, the value of "N" would be constant and is based on 
the receiver's Noise Figure]

Thus, the actual impact of changing an analog system from wideband to 
narrowband is not 6dB but 3dB.  In fact, 3dB is the value that has been stated 
by APCO engineers in their narrowbanding presentations.

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