Causal stable matched IIR wavelets and perfect reconstruction filter banks

Raghuveer M. Rao; Alex A. Lopez-Estrada; Ajit S. Bopardikar; Harold H. Szu

doi:10.1117/12.381684

5 April 2000 Causal stable matched IIR wavelets and perfect reconstruction filter banks

Raghuveer M. Rao, Alex A. Lopez-Estrada, Ajit S. Bopardikar, Harold H. Szu

Proceedings Volume 4056, Wavelet Applications VII; (2000) https://doi.org/10.1117/12.381684
Event: AeroSense 2000, 2000, Orlando, FL, United States

Abstract

Finite Impulse Response (FIR) filters have been the major players in the Wavelets and Multiresoltion Analysis field; mainly due to their ease of design and understandable nature, as well as their well behaved characteristics such as stability and linear phase response. However, it has been demonstrated that in a number of cases IIR filters are more appropriate. This paper describes a new solution for the wavelet conditions to derive stable IIR filters that are matched in a least squares sense to specified frequency responses. The derived solution treats independently the numerator and denominator in the rational transfer function. This solution can be applied to any IIR wavelet filter bank satisfying the orthogonality and perfect reconstruction conditions. Based on the proposed solutions, a new IIR wavelet filter bank with the low pass filter matched to a desired frequency response is developed.

Citation Download Citation

Raghuveer M. Rao, Alex A. Lopez-Estrada, Ajit S. Bopardikar, and Harold H. Szu "Causal stable matched IIR wavelets and perfect reconstruction filter banks", Proc. SPIE 4056, Wavelet Applications VII, (5 April 2000); https://doi.org/10.1117/12.381684

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