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

Abstract: In this paper, we propose an approximate semi-definite programming framework for demodulation and equalization of non-coherent ultra-wide-band communication systems with inter-symbol-interference. It is assumed that the communication systems follow non-linear second-order Volterra models. We formulate the demodulation and equalization problems as semi-definite programming problems. We propose an approximate algorithm for solving the formulated semi-definite programming problems. Compared with the existing non-linear equalization approaches, the proposed semi-definite programming formulation and approximate solving algorithm have low computational complexity and storage requirements. We show that the proposed algorithm has satisfactory error probability performance by simulation results. The proposed non-linear equalization approach can be adopted for a wide spectrum of non-coherent ultra-wide-band systems, due to the fact that most non-coherent ultra-wide-band systems with inter-symbol-interference follow non-linear second-order Volterra signal models.