Discrete lattice wavelet transform

被引:10
作者
Olkkonen, Juuso T. [1 ]
Olkkonen, Hannu
机构
[1] VTT Tech Res Ctr Finland, SF-90571 Oulu, Finland
[2] Univ Kuopio, Dept Appl Phys, FIN-70211 Kuopio, Finland
关键词
finite-impulse response (FIR) filters; lattice filters; quadrature mirror filters (QMFs); wavelet transform;
D O I
10.1109/TCSII.2006.883097
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
The discrete wavelet transform (DWT) has gained a wide acceptance in denoising and compression coding of images and signals. In this work we introduce a discrete lattice wavelet transform (DLWT). In the analysis part, the lattice structure contains two parallel transmission channels, which exchange information via two crossed lattice filters. For the synthesis part we show that the similar lattice structure yields a perfect reconstruction (PR) property. The PR condition can be used to design half-band filters, which effectively eliminate aliasing in decimated tree structured wavelet transform. The DLWT can be implemented directly to any of the existing DWT algorithms.
引用
收藏
页码:71 / 75
页数:5
相关论文
共 13 条
[1]   DISCRETE SPLINE FILTERS FOR MULTIRESOLUTIONS AND WAVELETS OF L(2) [J].
ALDROUBI, A ;
EDEN, M ;
UNSER, M .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1994, 25 (05) :1412-1432
[2]   The wavelet transform-domain LMS adaptive filter with partial subband-coefficient updating [J].
Attallah, S .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2006, 53 (01) :8-12
[3]   ORTHONORMAL BASES OF COMPACTLY SUPPORTED WAVELETS [J].
DAUBECHIES, I .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1988, 41 (07) :909-996
[4]   A comparison of hardware implementations of the biorthogonal 9/7 DWT: Convolution versus lifting [J].
Kotteri, KA ;
Barua, S ;
Bell, AE ;
Carletta, JE .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2005, 52 (05) :256-260
[5]   Hilbert transform assisted complex wavelet transform for neuroelectric signal analysis [J].
Olkkonen, H ;
Pesola, P ;
Olkkonen, J ;
Zhou, H .
JOURNAL OF NEUROSCIENCE METHODS, 2006, 151 (02) :106-113
[6]   Efficient lifting wavelet transform for microprocessor and VLSI applications [J].
Olkkonen, H ;
Olkkonen, JT ;
Pesola, P .
IEEE SIGNAL PROCESSING LETTERS, 2005, 12 (02) :120-122
[7]   Gaussian pyramid wavelet transform for multiresolution analysis of images [J].
Olkkonen, H ;
Pesola, P .
GRAPHICAL MODELS AND IMAGE PROCESSING, 1996, 58 (04) :394-398
[8]   DISCRETE BINOMIAL SPLINES [J].
OLKKONEN, H .
GRAPHICAL MODELS AND IMAGE PROCESSING, 1995, 57 (02) :101-106
[9]  
OLKKONEN H, 2002, MED SCI M ON IT, V25, P199
[10]   EXACT RECONSTRUCTION TECHNIQUES FOR TREE-STRUCTURED SUBBAND CODERS [J].
SMITH, MJT ;
BARNWELL, TP .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1986, 34 (03) :434-441