Improved Anti-NBI UWB Waveform Design Based on Spectral Factorization

This paper introduces an improved ultra wideband (UWB) waveform design method to shape spectral notch to suppress interference. FIR filter is used to synthesize the waveform by summing a sequence of weighted and uniformly delayed monocycles. The Gaussian monocycle is chosen to meet the mask for easy generation, while the codeword is designed to shape notch. Different from previous non-convex Lagrange method, we introduce the minimum direct current minimum phase spectral factorization to obtain the codeword from the Fourier series coefficients of ideal codeword spectrum. It improves the efficiency and robustness by avoiding solving nonlinear equations, especially when the codeword is long. It can be applied to multi-interference situation.