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In this paper, we propose an approximate semi-definite programming frameworkfor demodulation and equalization of non-coherent ultra-wide-band communicationsystems with inter-symbol-interference. It is assumed that the communicationsystems follow non-linear second-order Volterra models. We formulate thedemodulation and equalization problems as semi-definite programming problems.We propose an approximate algorithm for solving the formulated semi-definiteprogramming problems. Compared with the existing non-linear equalizationapproaches, the proposed semi-definite programming formulation and approximatesolving algorithm have low computational complexity and storage requirements.We show that the proposed algorithm has satisfactory error probabilityperformance by simulation results. The proposed non-linear equalizationapproach can be adopted for a wide spectrum of non-coherent ultra-wide-bandsystems, due to the fact that most non-coherent ultra-wide-band systems withinter-symbol-interference follow non-linear second-order Volterra signalmodels.

Equalization for Non-Coherent UWB Systems with Approximate Semi-Definite Programming