M-channel lifting factorization of perfect reconstruction filter banks and reversible M-band wavelet transforms
作者： Ying-Jui Chen , K.S. Amaratunga
DOI: 10.1109/TCSII.2003.820233
关键词:
摘要: An intrinsic M-channel lifting factorization of perfect reconstruction filter banks (PRFBs) is presented as an extension Sweldens' conventional two-channel scheme. Given a polyphase matrix E(z) finite-impulse response (FIR) M- channel PRFB with det(E(z))=z/sup -K/, K/spl isin//spl Zopf/, systematic derived based on the Monic Euclidean algorithm. The structure provides efficient and implementation; examples include optimizing for number steps, delay elements, dyadic coefficients. Specialization to paraunitary building blocks enables design lifting. We show how achieve reversible, possibly multiplierless, implementations under finite precision, through unit diagonal scaling property Furthermore, filter-bank regularity desired order can be imposed structure, PRFBs prescribed admissible are conveniently parameterized.
sci-hub.se 参考文章(22)
P. P. Vaidyanathan, Multirate Systems and Filter Banks ,(1992)
Ying-Jui Chen, S. Oraintara, K. Amaratunga, M-channel lifting-based design of paraunitary and biorthogonal filter banks with structural regularity international symposium on circuits and systems. ,vol. 4, pp. 221- 224 ,(2003) , 10.1109/ISCAS.2003.1205813
Henrique S. Malvar, Signal processing with lapped transforms ,(1992)
Y. Zeng, G. Bi, Z. Lin, Integer sinusoidal transforms based on lifting factorization international conference on acoustics, speech, and signal processing. ,vol. 2, pp. 1181- 1184 ,(2001) , 10.1109/ICASSP.2001.941134
Vladimir Britanak, Patrick Yip, K. R. Rao, Discrete Cosine Transform: Algorithms, Advantages, Applications ,(1990)
A.R. Calderbank, Ingrid Daubechies, Wim Sweldens, Boon-Lock Yeo, Wavelet Transforms That Map Integers to Integers Applied and Computational Harmonic Analysis. ,vol. 5, pp. 332- 369 ,(1998) , 10.1006/ACHA.1997.0238
M. Maslen, P. Abbott, Automation of the lifting factorisation of wavelet transforms Computer Physics Communications. ,vol. 127, pp. 309- 326 ,(2000) , 10.1016/S0010-4655(99)00451-8
Tommaso Toffoli, Almost every unit matrix is a ULU Linear Algebra and its Applications. ,vol. 259, pp. 31- 38 ,(1997) , 10.1016/S0024-3795(96)00240-6
Ingrid Daubechies, Wim Sweldens, Factoring wavelet transforms into lifting steps Journal of Fourier Analysis and Applications. ,vol. 4, pp. 131- 157 ,(1998) , 10.1007/BFB0011095
Ying-Jui Chen, Soontorn Oraintara, Truong Nguyen, Video compression using integer DCT international conference on image processing. ,vol. 2, pp. 844- 845 ,(2000) , 10.1109/ICIP.2000.899842