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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...
We introduce a family of symmetric dyadic wavelets arising from dual and sibling frames. Each of the frames consists of three generators obtained using spectral factorization. We describe two cases of dual frames: symmetric frames with redundant highpass filters and symmetric frames with redundant bandpass filters. We present design methods and examples for both types of dual frames. We additionally...
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