R E S E A R C H  -  D I R E C T I O N L E T S              

Multi-directional construction

For more details check this publication, this publication and this PhD thesis.


Lattice-based filtering and subsampling
  • Let vectors d1=[α1,β1] and d2=[α2,β2] define two directions and the generator matrix MΛ=[d1,d2]T
  • Filtering and subsampling are applied across integer lattice Λ defined by MΛ
  • Subsampled lattice Λ’ is defined by MΛ’=[2d1,d2]T
  • Operations are applied in each coset separately