In this article, the approach based on the orthogonal Kravchenko wavelets { } () a h 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.
In this paper, we address a new approach for high-resolution reconstruction and enhancement of remote sensing (RS) imagery in near-real computational time based on the aggregated hardware/software (HW/SW) co-design paradigm. The software design is aimed at the algorithmic-level decrease of the computational load of the large-scale RS image enhancement tasks via incorporating into the fixed-point iterative reconstruction/enhancement procedures the convex convergence enforcement regularization by constructing the proper projectors onto convex sets (POCS) in the solution domain. The established POCS-regularized iterative techniques are performed separately along the range and azimuth directions over the RS scene frame making an optimal use of the sparseness properties of the employed sensor system modulation format. The hardware design is oriented on employing the Xilinx Field Programmable Gate Array XC4VSX35-10ff668 and performing the image enhancement/reconstruction tasks in a computationally efficient parallel fashion that meets the near-real time imaging system requirements. Finally, we report some simulation results and discuss the implementation performance issues related to enhancement of the real-world RS imagery indicative of the significantly increased performance efficiency gained with the developed approach.
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