Fhss signal reconstruction based on the compressive sampling principle

The method for the reconstruction of Frequency Hopping Spread Spectrum (FHSS) signals is described in the paper. FHSS is a modulation technique employed in spread spectrum communications. Reconstruction procedure is based on the compressive sampling principle, which allows signal reconstruction using a significantly smaller number of samples than required by the Nyquist-Shannon sampling theorem. The method is applied on signals having a sparse representation in transform domain, which often appears in real applications. Reconstruction is based on the optimization algorithms using l₁-norm minimization in the domain in which the signal is sparse. In addition, the joint time-frequency signal analysis is combined with a compressive sampling method, in order to compare parameters of the original and the reconstructed signal.