Abstract: The Ultra-Wideband (UWB) pulse waveform in communication need not only achieve orthogonality but also meet the Federal Communications Commission(FCC) spectral mask for the UWB commercial system. B-spline functions exhibit good approximation properties when serving as a basis in function learning. In this paper, a flexible UWB pulse waveform design method is proposed based on B-spline basis. The task of UWB pulse waveform design is represented as a constrained optimization problem, which takes the spectrum utility ratio as the target function, and takes orthogonality and spectral mask as the constraint. Subsequently the UWB pulse waveforms obtained in this way have the advantages of better spectrum utility ratio and complying with the FCC spectrum mask. The system of B-spline is also applicable to implemented circuits. Experimental results show the feasibility and merits of the proposed method.

Key words: ultra-wideband pulse, B-spline, spectral mask, orthogonality, optimization