Sparse approximations in complex domain based on BM3D modeling

  title={Sparse approximations in complex domain based on BM3D modeling},
  author={Vladimir Katkovnik and Mykola Ponomarenko and Karen O. Egiazarian},
  journal={Signal Processing},
Abstract In this paper the concept of sparsity for complex-valued variables is introduced in the following three types: directly in complex domain and for two real-valued pairs phase/amplitude and real/imaginary parts of complex variables. The nonlocal block-matching technique is used for sparsity implementation and filter design for each type of sparsity. These filters are complex domain generalizations of the Block Matching 3D collaborative (BM3D) filter based on the high-order singular value… CONTINUE READING