Close Approximations for Daublets and their Spectra
This work provides analytical approximations for Daubechies wavelets, which were previously lacking, benefiting applications requiring continuous wavelet analysis or hardware implementation.
The paper introduces close analytical approximations for Daubechies wavelets (daublets) and their spectra, enabling frequency detection via scalograms. The approximations are implemented in Matlab, offering potential value for hardware wavelet synthesis and continuous wavelet-based systems like wavelet OFDM.
This paper offers a new regard on compactly supported wavelets derived from FIR filters. Although being continuous wavelets, analytical formulation are lacking for such wavelets. Close approximations for daublets (Daubechies wavelets) and their spectra are introduced here. The frequency detection properties of daublets are investigated through scalograms derived from these new analytical expressions. These near-daublets have been implemented on the Matlab wavelet toolbox and a few scalograms presented. This approach can be valuable for wavelet synthesis from hardware or for application involving continuous wavelet-based systems, such as wavelet OFDM.