Analytical UWB waveform design based on linear combination of Gaussian-modulated sinusoids

This study proposes an analytical ultra wide-band (UWB) waveform design based on linear combination of Gaussian-modulated sine waves to prevent interference with existing narrowband systems, in accordance with the Federal Communications Commission (FCC) UWB spectral mask. The proposed model determines the common pulse duration and the center frequencies of the components in closed-form using the relationships among the number of components, the overlap of components and the design band frequency limits. As a result, UWB waveforms for different design scenarios can be generated without computationally intensive algorithms. The method was evaluated in terms of spectrum utilization efficiency (SUE) within the 3.1-10.6 GHz indoor FCC UWB band. Results show that same SUE can be achieved with fewer components by appropriate overlap level. Comparisons with existing studies demonstrate that the proposed approach provides high performance for similar component numbers while avoiding complex optimization-based models with high computational cost. Moreover, the normalized spectral form and SUE are preserved for different sub-band widths when the analytical parameters are updated according to the new frequency limits. The results demonstrate that the proposed method is an effective waveform design approach due to its low computational complexity, high SUE, and scalability to multi-subband full-band UWB designs.