Approach to the design of discrete-time wavelets

Huai Dong Li; Vijay K. Jain

doi:10.1117/12.241987

7 June 1996 Approach to the design of discrete-time wavelets

Huai Dong Li, Vijay K. Jain

Proceedings Volume 2750, Digital Signal Processing Technology; (1996) https://doi.org/10.1117/12.241987
Event: Aerospace/Defense Sensing and Controls, 1996, Orlando, FL, United States

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); https://doi.org/10.1117/12.241987

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available