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SYMMETRIC EXTENSION FOR QUINCUNX FILTER BANKS Yi Chen, Michael D. Adams, and Wu-Sheng Lu
 

Summary: SYMMETRIC EXTENSION FOR QUINCUNX FILTER BANKS
Yi Chen, Michael D. Adams, and Wu-Sheng Lu
Dept. of Elec. and Comp. Eng., University of Victoria, Victoria, BC, CANADA
ABSTRACT
Symmetric extension is a commonly used technique for construct-
ing nonexpansive transforms for one-dimensional signals of finite
length. In this paper, we show how to extend this technique to
the two-dimensional case with perfect reconstruction quincunx fil-
ter banks composed of quadrantally-symmetric linear-phase filters.
We derive the constraints on the group delays and symmetry types
of the analysis filters, in particular those with non-integer vector
group delays.
1. INTRODUCTION
Quincunx filter banks are nonseparable two-dimensional (2-D) two-
channel filter banks that are used to compute subband transforms
for many image processing applications. Fig. 1 shows the block di-
agram of a quincunx filter bank, where H0, H1 and G0, G1 are the
analysis and synthesis filters, respectively. The subband sequences
y0 and y1 are obtained by downsampling the analysis filter outputs
in a nonseparable pattern such that the sampling density of each

  

Source: Adams, Michael D. - Department of Electrical and Computer Engineering, University of Victoria
Lu, Wu-Sheng - Department of Electrical and Computer Engineering, University of Victoria

 

Collections: Engineering