EIGEN DESIGN OF QUADRATURE MIRROR FILTERS

This brief presents a method for the design of quadrature mirror filte rs. A new frequency weighted stopband energy function is introduced, w hich leads to considerable flexibility in the design process. Unlike o ther techniques which involve searches and nonlinear optimization, our formulation reduces the design equations to an eigenvector problem. F urthermore, the resulting filters are regular and have additional desi rable properties for applications to pyramidal coding of images, which together with DPCM, PCM, vector quantization, or zero-tree wavelet co ding schemes leads to high compression ratios.