Title :
Optimal design of oversampled filter banks with lattice structure
Author :
Chai, Li ; Zhang, Jingxin ; Sheng, Yuxia
Author_Institution :
Key Lab. of Metall. Equip. & Control, Wuhan Univ. of Sci. & Technol., Wuhan, China
Abstract :
For an oversampled linear phase (LP) perfect reconstruction filter banks with lattice structure, the synthesis FB is not unique. However, existing methods to choose a synthesis FB for ldquooptimalrdquo noise reduction may destroy the linear phase and lattice structure property. This paper studies the noise reduction design problem for oversampled filter banks (FBs) preserving lattice structure. Both the optimal design and worst case design are considered, where the former caters for the noise with known power spectral density (PSD), and the latter for the noise with unknown PSD. Explicit formula for the former and LMI-based algorithms for the latter are provided.
Keywords :
channel bank filters; lattice theory; linear matrix inequalities; linear phase filters; signal denoising; signal sampling; LMI-based algorithm; lattice structure; linear phase; noise reduction; optimal design; oversampled filter bank; power spectral density; synthesis FB; worst case design; Filter bank; Image processing; Image reconstruction; Lattices; Noise reduction; Noise robustness; Nonlinear filters; Optimal control; Quantization; Signal synthesis; Lattice structure; Oversampled filter banks; noise reduction; perfect construction;
Conference_Titel :
Asian Control Conference, 2009. ASCC 2009. 7th
Conference_Location :
Hong Kong
Print_ISBN :
978-89-956056-2-2
Electronic_ISBN :
978-89-956056-9-1
