Perfect Reconstruction Filter Banks with Rational Sampling Rates in One and Two Dimensions

Jelena Kovacevic; Martin Vetterli

doi:10.1117/12.970135

1 November 1989 Perfect Reconstruction Filter Banks with Rational Sampling Rates in One and Two Dimensions

Jelena Kovacevic, Martin Vetterli

Proceedings Volume 1199, Visual Communications and Image Processing IV; (1989) https://doi.org/10.1117/12.970135
Event: 1989 Symposium on Visual Communications, Image Processing, and Intelligent Robotics Systems, 1989, Philadelphia, PA, United States

Abstract

Multirate filter banks with integer sampling rate changes are used widely in subband coding and transmultiplexing. A more general scheme is obtained when one allows arbitrary rational sampling rate changes, leading to non-uniform division of the frequency spectrum. This paper shows how to obtain arbitrary non-uniform perfect reconstruction filter banks by building trees of divisions into two (possibly unequal) channels. The construction uses the commutativity of subsampling and upsampling. The commutativity result, which is well known in one dimension, is then extended to two dimensions.

Citation Download Citation

Jelena Kovacevic and Martin Vetterli "Perfect Reconstruction Filter Banks with Rational Sampling Rates in One and Two Dimensions", Proc. SPIE 1199, Visual Communications and Image Processing IV, (1 November 1989); https://doi.org/10.1117/12.970135

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