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Thursday, January 09, 2014

Compressed sensing notes

  • Classical sampling theory (Nyquist-Shannon framework) 
    • Infinite length, continuous-time signals 
    • Requires the sample at specific point in time 
    • Signal recovery in the form of linear sinc interpolation 
  • Compressed sensing framework 
    • Finite-dimensional vectors in Rn 
    • Acquires measurements in the form of an inner-products between the signal and a test function 
    • Signal recovery achieved using highly nonlinear methods

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