Design of 2-D interpolation/decimation filters using a general 2-D digital allpass filter

Authors:
Ju-Hong Lee;Yuan-Hau Yang
Affiliations:
Department of Electrical Engineering, Graduate Institute of Communication Engineering, National Taiwan University, No. 1, Sec. 4, Roosevelt Rd., Taipei, 10617, Taiwan and Graduate Institute of Bio ...;Graduate Institute of Communication Engineering, National Taiwan University, No. 1, Sec. 4, Roosevelt Rd., Taipei, 10617, Taiwan
Venue:
Digital Signal Processing
Year:
2012

Citing 7
Cited 0

Combinatorial optimization: algorithms and complexity

Combinatorial optimization: algorithms and complexity
Linear optimization and extensions: theory and algorithms

Linear optimization and extensions: theory and algorithms
Multidimensional Digital Signal Processing

Multidimensional Digital Signal Processing
Two-channel parallelogram QMF banks using 2-D NSHP digital all-pass filters

IEEE Transactions on Circuits and Systems Part I: Regular Papers - Special section on 2009 IEEE custom integrated circuits conference
Eigenfilter design of 1-D and 2-D IIR digital all-pass filters

IEEE Transactions on Signal Processing
Minimax design of two-channel nonuniform-division filterbanks using IIR allpass filters

IEEE Transactions on Signal Processing
Characteristics of minimax FIR filters for video interpolation/decimation

IEEE Transactions on Circuits and Systems for Video Technology

Quantified Score

Hi-index	0.00

Visualization

Abstract

Two-dimensional (2-D) interpolation/decimation digital filters are widely used for sampling rate conversion. A general structure consisting of a 2-D recursive digital allpass filter (DAF) and a 2-D pure delay block is presented for designing 2-D recursive interpolation/decimation filters. We utilize a 2-D DAF with symmetric half-plane (SHP) support for its filter coefficients to comply with the symmetry possessed by 2-D interpolation/decimation filters. The structure also possesses a preferable doubly complementary half-band (DC-HB) property that reduces the number of required independent coefficients for designing 2-D interpolation/decimation filters. We appropriately formulate the design problem to obtain a simple linear optimization problem that minimizes the phase error of the 2-D recursive SHP DAF in the pth norm (L"p) sense. Simulation results are provided for illustration and comparison.