From: jeroen@nospam.please   
      
   On 2014-01-24 05:58, haiticare2011@gmail.com wrote:   
   [Snipped the mangled text ...   
   >   
   > Well, I'll skip the first question, as it is complex. But the "signal   
   > averaging," as Horowitz describes it, is just an addition, without   
   > dividing, of many measurements. His presentation somewhat confusing,   
   > as he is separating a Mossbauer resonance signal into frequency   
   > bands. But the signal processing action occurs in the cumulative   
   > addition. After X additions, the noise variation in the overall   
   > signal goes down, and the buried signal shows itself above that   
   > noise.   
      
   Both noise and signal *grow* as more measurements get added.   
   It's just that the signal grows faster than the noise, and   
   eventually gets to stand out.   
      
   The signal contribution grows linearly with the number of   
   sweeps, because it's accumulated coherently, whereas the   
   incoherent noise only grows with the square root of the   
   number of sweeps. (For a large number of sweeps, of course.)   
      
   The division needed to to properly call this 'averaging' is   
   a no-op as regards signal to noise ratio.   
      
   Jeroen Belleman   
      
   --- SoupGate-Win32 v1.05   
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