Spectral Estimation of Digital Signals by the Orthogonal Kravchenko Wavelets $\{\widetilde{h_{a}(t)}\}$

Abstract

In this article, the approach based on the orthogonal Kravchenko wavelets $\{\widetilde{h_{a}(t)}\}$ is proposed. There is shown that obtained structures have some advantages in comparison with spectral wave analysis of ultra wideband (UWB) signals that are widely used in the remote sensing. This approach based on application of wavelets as spectral kernels is considered in the problems of digital UWB signal processing. In communication theory, the signals are represented in the form of linear combination of elementary functions. Application of spectral analysis of UWB signals in basis of digital functions in comparison with the spectral harmonious analysis gives certain advantages which are defined by the physical nature of the signal representation. Optimal processing in spectral area in comparison with the time possesses has advantages on application of numerical algorithms. The physical characteristics and analysis of numerical experiment confirm efficiency of new wavelets in the spectral estimation and digital UWB signal processing.