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 Synthesis of an Optimal Wavelet Based on Auditory Perception Criterion | Hindawi Publishing Corporation EURASIP Journal on Advances in Signal Processing Volume 2011 Article ID 170927 13 pages doi 2011 170927 Research Article Synthesis of an Optimal Wavelet Based on Auditory Perception Criterion Abhijit Karmakar 1 Arun Kumar 2 and R. K. Patney3 1 Integrated Circuit Design Group Central Electronics Engineering Research Institute Council of Scientific and Industrial Research Pilani 333031 India 2 Centre for Applied Research in Electronics Indian Institute of Technology Delhi New Delhi 110016 India 3Department of Electrical Engineering Indian Institute of Technology Delhi New Delhi 110016 India Correspondence should be addressed to Abhijit Karmakar Received 2 July 2010 Revised 3 November 2010 Accepted 4 February 2011 Academic Editor Antonio Napolitano Copyright 2011 Abhijit Karmakar et al. 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. A method is proposed for synthesizing an optimal wavelet based on auditory perception criterion for dyadic filter bank implementation. The design method of this perceptually optimized wavelet is based on the critical band CB structure and the temporal resolution of human auditory system HAS . The construction of this compactly supported wavelet is done by designing the corresponding optimal FIR quadrature mirror filter QMF . At first the wavelet packet WP tree is obtained that matches optimally with the CB structure of HAS. The error in passband energy of the CB channel filters is minimized with respect to the ideal QMF. The optimization problem is formulated in the lattice QMF domain and solved using bounded value global optimization technique. The corresponding wavelet is obtained using the cascade algorithm with the support being decided by the temporal resolution of HAS. The synthesized wavelet is maximally .
