This paper describes a class of orthogonal binomial filters that provide a set of basis functions for a bank of perfect reconstruction (PR) finite impulse response quadrature mirror filters (FIR QMF). These binomial QMF’s are shown to be the same filters as those derived from a discrete orthonormal wavelet transform approach by Daubechies. These filters are the unique maximally flat magnitude square PR QMF's. It is shown that the binomial QMF outperforms the discrete cosine transform objectively for AR(1) sources and test images considered.
All Science Journal Classification (ASJC) codes
- Signal Processing
- Electrical and Electronic Engineering