Publications [#236073] of Robert Calderbank

Journal articles or Book chapters PUBLISHED
  1. Howard, SD; Calderbank, AR; Searle, SJ, A fast reconstruction algorithm for deterministic compressive sensing using second order reed-muller codes, CISS 2008, The 42nd Annual Conference on Information Sciences and Systems (2008), pp. 11-15 [doi] .

    This paper proposes a deterministic compressed sensing matrix that comes by design with a very fast reconstruction algorithm, in the sense that its complexity depends only on the number of measurements n and not on the signal dimension N. The matrix construction is based on the second order Reed-Muller codes and associated functions. This matrix does not have RIP uniformly with respect to all k-sparse vectors, but it acts as a near isometry on k-sparse vectors with very high probability. © 2008 IEEE.