Minimum-energy wavelet frames on the interval with arbitrary integer dilation factor

In this paper, minimum-energy wavelet frames on the interval with arbitrary integer dilation factor a are studied Firstly, the concept of minimum-energy wavelet frames on the interval is generalized to the arbitrary integer dilation factor a, a ≥ 2, a ϵ Z, the necessary and sufficient conditions for minimum-energy wavelet frames on the interval are given. Secondly, an algorithm for constructing minimum-energy wavelet frames on the interval with any support γ is also given.