From: behzatsahin@gmail.com   
      
   On Wednesday, December 13, 2017 at 2:36:45 AM UTC+3, RichD wrote:   
   > Consider the Nyquist criterion for sampling a continuous    
   > waveform - 2x bandwidth - then the Rayleigh resolution    
   > principle - peaks must separate by at least 1 wavelength.     
   >    
   > Don't these look much analogous?     
   > Especially as λ = 1/f   
   >    
   > Ruminating  a bit more... Nyquist sampling can be    
   > viewed as a mandate to sample each period, at least    
   > twice.  And, Rayleigh mandates that the image be    
   > 'sampled' twice, in the sense of a peak and trough.   
   >    
   > It strikes me they may be equivalent, in some deeper    
   > sense.  Has anyone ever tried to derive such a result,    
   > mathematically?   
   >    
   > I can't be the first to ever conjecture this -     
   >    
   > --   
   > Rich   
      
   Both Rayleigh Limit and Nyquist Rate are so 20th century.. They are basically   
   hard limits for differentiation between two close entities (in time or space).   
   It has been shown that you can operate below these limits; that is for good   
   enough snr optical    
   systems yo can achieve resolutions below rayleigh limit, and for sparse or   
   compressible (lossy usually) data you can use undersampling or compressive   
   sampling. It is in the EOTB, if you can understand what you see or hear that   
   is enough. Regards, Asaf   
   http://www.laserfocusworld.com/articles/print/volume-52/issue-12   
   world-news/imaging-theory-breaking-rayleigh-s-limit-imaging-reso   
   ution-not-defined-by-the-criterion.html   
   statweb.stanford.edu/~markad/publications/ddek-chapter1-2011.pdf   
      
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