Optimized orthonormal wavelet filters with improved frequency separation

Additional constraints to ensure three vanishing moments for orthonormal wavelet filter banks and transient detection

“…However, after obtaining the constraints that ensure at least two vanishing moments, in [9], other papers have presented the use of that formulation and this restriction to various applications, some examples are, [3,8,6]. The restriction achieved in this paper ensures at least three vanishing moments and was already applied to fault detection in [12], presenting promising results.…”

A Dynamic-State Feedback Approach Employing a New State-Space Description for the Fast Wavelet Transform with Multiple Decomposition Levels

“…By adapting the work of Vaidyanathan (1993) on the factorization of paraunitary matrices and parameterizing the space of orthonormal wavelets by a set of angular parameters, Sherlock and Monro (1998) devised a simple and elegant framework to parameterize the space of orthonormal wavelets by a set of angular parameters (Paiva et al 2009;Paiva and Galvão 2012). Sherlock and Monro's formulation is presented in the following.…”