Approach to the design of discrete-time wavelets

Huai Dong Li; Vijay K. Jain

doi:10.1117/12.241987

Abstract

The paper presents an approach to the design of half-band discrete-time wavelets. This is accomplished through the use of a class of quadrature mirror filters which exhibit near- perfect reconstruction property. In particular, we present a technique for the design of such filters, wherein the designer has the flexibility to make tradeoffs between in- band behavior, out-of-band behavior, and the transition-band behavior. The basic formulation is carried out in the frequency domain, which is shown to translate the design problem into an eigenvalue-eigenvector problem. To find the optimal filter for a specific set of specifications, an optimization algorithm is also presented. Using this algorithm, designs ranging from 4 to 80 taps have been carried out successfully. A fairly complete table of resulting filters, which can be used by signal and image processing engineers, is included in the paper.

Citation Download Citation

Huai Dong Li and Vijay K. Jain "Approach to the design of discrete-time wavelets", Proc. SPIE 2750, Digital Signal Processing Technology, (7 June 1996); doi: 10.1117/12.241987; https://doi.org/10.1117/12.241987

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