tailieunhanh - Báo cáo hóa học: " Research Article A Signal-Specific QMF Bank Design Technique Using Karhunen-Lo´ ve Transform "

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article A Signal-Specific QMF Bank Design Technique Using Karhunen-Lo´ ve Transform | Hindawi Publishing Corporation EURASIP Journal on Advances in Signal Processing Volume 2011 Article ID 753572 13 pages doi 2011 753572 Research Article A Signal-Specific QMF Bank Design Technique Using Karhunen-Loeve Transform Approximation Muzaffer Dogan1 and Omer N. Gerek2 1 Department of Computer Engineering Anadolu University IkiEylulKampusu 26470 Eskisehir Turkey 2 Department of Electrical and Electronics Engineering Anadolu University IkiEylulKampusu 26470 Eskisehir Turkey Correspondence should be addressed to Muzaffer Dogan muzafferd@ Received 31 July 2010 Revised 3 December 2010 Accepted 5 January 2011 Academic Editor Antonio Napolitano Copyright 2011 M. Dogan and O. N. Gerek. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. Block Wavelet Transforms BWTs are orthogonal matrix transforms that can be obtained from orthogonal subband filter banks. They were initially generated to produce matrix transforms which may carry nice properties inheriting from wavelets as alternatives to DCT and similar matrix transforms. Although the construction methodology of BWT is clear the reverse operation was not researched. In certain cases a desirable matrix transform can be generated from available data using the Karhunen-Loeve transform KLT . It is therefore of interest to develop a subband decomposition filter bank that leads to this particular KLT as its BWT. In this work this dual problem is considered as a design attempt for the filter bank hence the wavelets. The filters of the decomposition are obtained through lattice parameterization by minimizing the error between the KLT and the BWT matrices. The efficiency of the filters is measured according to the coding gains obtained after the subband decomposition and the experimental results are compared with Daubechies-2 and Daubechies-4 .