MATLAB Code for Optimal Quincunx Filter Bank Design Yi Chen July 17, 2006 This file introduces the MATLAB code that implements the two algorithms (i.e., Algorithms 1 and 2 in [1], or Algorithms 4.1 and 4.2 in [2]) used for the construction of quincunx filter banks with perfect reconstruction, linear phase, high coding gain, certain vanishing moments properties, and good frequency selectivity. The code can be used to design quincunx filter banks with two, three, or four lifting steps. The SeDuMi Matlab toolbox [3] is used to solve the second-order cone programming subproblems in the two algorithms, and must be installed in order for this code to work.

ychen_jasp_software
...................\analysis_filters2.m
...................\analysis_filters3.m
...................\analysis_filters4.m
...................\CodingGain_num.m
...................\data
...................\diamond.m
...................\L2n.m
...................\L2n_parameters.m
...................\L3n.m
...................\L3n2.m
...................\L3n2_parameters.m
...................\L3n_parameters.m
...................\L4n.m
...................\L4n_parameters.m
...................\lifting_quincunx.m
...................\linear_const34.m
...................\linear_constr2.m
...................\manual.pdf
...................\matrix2poly.m
...................\poly2matrix.m
...................\poly2matrix_sym.m
...................\README
...................\reduce_size.m
...................\solv_quin.m
...................\toeplitz_c.m
...................\upsampling_2d.m
...................\Vanishing_num.m
...................\VM_3lifting_2.m
...................\VM_3lifting_3.m
...................\VM_4lifting_2.m
...................\VM_two_steps.m
...................\weight_sep.m

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