Sub-Nyquist sampling based narrowband interference mitigation in UWB impulse radio

Based on characteristics of sparsity and significance of the narrowband interference (NBI) signal in the fast Fourier transform domain even at sub-Nyquist sampling rate, a novel NBI detection and mitigation scheme is proposed. An orthogonal matrix for projecting the discrete-time NBI signal into a zero vector is derived. Simulation results show that the proposed scheme can greatly improve the signal-to-interference-plus-noise ratio.