Close Expressions for Meyer Wavelet and Scale Function
Victor Vermehren Valenzuela, Hélio Magalhães de Oliveira
Evento: XXXIII Simpósio Brasileiro de Telecomunicações (SBrT2015)
Keywords: Meyer wavelets multiresolution analysis scale function
AbstractMany continuous wavelets are defined in the frequency domain and do not have analytical expressions in the time domain. Meyer wavelet is ordinarily defined in this way. In this note, we derive new straightforward analytical expressions for both the wavelet and scale function for the Meyer basis. The validity of these expressions is corroborated by numerical computations, yielding no approximation error.