On Friday, January 24, 2014 3:26:37 AM UTC-5, Jeroen Belleman wrote:   
   > On 2014-01-24 05:58, ticare2011@gmail.com wrote:   
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   > [Snipped the mangled text ...   
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   > > 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.   
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   >   
   > Both noise and signal *grow* as more measurements get added.   
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   > It's just that the signal grows faster than the noise, and   
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   > eventually gets to stand out.   
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   >   
   > 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.)   
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   > The division needed to to properly call this 'averaging' is   
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   > a no-op as regards signal to noise ratio.   
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   >   
   >   
   > Jeroen Belleman   
      
   Yes, except, to be prim about it, the buried signal grows faster than the   
   'variation' in the noise, as Horowitz is at pains to explain.   
   JB   
      
      
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