No abstract

In this work, a comparative analysis between Mexican Hat and Golden Hat wavelets is presented. The latter wavelet belongs to a new family of functions generated from Fibonacci coefficient polynomials. Although these wavelets have a very similar waveform, they have several distinct characteristics in time and the frequency domains. These distinctions are explored here in the scale-space.

In this work, a comparative analysis between Gaussian and Golden wavelets is presented. These wavelets are generated by the derivative of specific base functions. In this case, the order of the derivative also indicates the number of vanishing moments of the wavelet. Although these wavelets have a similar waveform, they have several distinct characteristics in time and frequency domains. These distinctions are explored here in the scale space. In order to compare the results provided by these wavelets for a real signal, they are used in the decomposition of a signal inserted in the context of structural health monitoring.

No abstract

Abstract. A three-complex-parameter class of orthogonal Laurent polynomials on the unit circle associated with basic hypergeometric or q-hypergeometric functions is considered. To be precise, we consider the orthogonality properties of the sequence of polynomials