By Topic

Parametric Bernstein polynomial for least squares design of 3-D wavelet filter banks

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)
D. B. H. Tay ; Dept. of Electron. Eng., LaTrobe Univ., Bundoora, Vic., Australia

The design of nonseparable three-dimensional (3-D) biorthogonal wavelet filter banks is addressed in this paper. The sampling is on the face centered orthorhombic (FCO) lattice and the ideal low-pass filter's passband shape is the truncated octahedron (TRO). We introduce a 3-D parametric Bernstein polynomial that preserves biorthogonality and gives a good approximation to the TRO shape. Furthermore, filters with arbitrarily flat frequency response for giving regular wavelet systems are readily obtainable. The free parameters of the Bernstein polynomial can be chosen to sharpen the frequency response of the filter. A least squares approach is employed for the design of the parameters. The design process is efficient as it involves solving linear equations and is noniterative. This approach provides a trade-off mechanism between the sharpness of roll-off and the degree of flatness

Published in:

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications  (Volume:49 ,  Issue: 6 )