On the Design of Deterministic Matrices for Fast Recovery of Fourier   Compressible Functions
  We present a general class of compressed sensing matrices which are then demonstrated to have associated sublinear-time sparse approximation algorithms. We then develop methods for constructing specialized matrices from this class which are sparse when multiplied with a discrete Fourier transform matrix. Ultimately, these considerations improve previous sampling requirements for deterministic sparse Fourier transform methods. 
J. Bailey and M. A. Iwen and C. V. Spencer
math.NA cs.DS cs.NA