Symmetric tight frame wavelets with dilation factor M=4

In this paper we discuss a new set of symmetric tight frame wavelets with the associated filterbank outputs downsampled by four at each stage. The frames consist of seven generators obtained from the lowpass filter using spectral factorization, with the lowpass filter obtained via a simple method using Taylor polynomials. The filters are simple to construct, and offer smooth scaling functions and wavelets. Additionally, the filterbanks presented in this paper have limited redundancy while maintaining the smoothness of underlying limit functions. The filters are linear phase (symmetric), FIR, and the resulting wavelets possess vanishing moments.

► We introduce new tight frame symmetric wavelets with scaling factor 4.
► The wavelets have reduced redundancy and improved frequency resolution.
► The filters are designed using relatively simple methods.
► A simple application example is discussed.