Eigen design of quadrature mirror filters

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