Discrete-time linear-phase nearly orthogonal wavelet banks

A family of discrete-time linear-phase nearly orthogonal wavelet banks is introduced. These wavelet banks are intermediate cases between orthogonal wavelet banks having nonlinear-phase impulse responses and biorthogonal banks having linear-phase impulse responses. For these banks, the wavelet and scaling functions are made very regular and the wavelet function has several vanishing moments. Strightly speaking, the proposed filter banks are not real wavelet banks in the sense that there are negligible aliased terms and a very small reconstruction error for the unaliased component. Several examples are included showing the usefulness of the proposed banks in signal processing applications.