I. Introduction
RECENTLY [1], frequency-domain equalization (FDE) techniques have been proposed for ultra-wideband (UWB) systems employing block transmission. It has been shown that the SC-FDE UWB is a promising candidate for UWB communications due to its advantages over previous solutions in terms of performance and implementation issues [1]. To achieve good spectral efficiency, UWB systems operating over extremely wide frequency bands will have to coexist with current narrowband systems operating on a very small slice of the UWB bandwidth with much higher power levels. Therefore, it is very important to design the UWB receivers robust to such narrowband interference (NBI). Similar to conventional multi-carrier communications [2], in a UWB system with NBI, robust noise variance and channel estimates are very important for the coherent receiver to recover the data reliably. Hence, NBI must be effectively coped with in the estimation of noise variance and channel coefficients at the receiver. However, to the best of our knowledge, research on noise variance and channel estimation for SC-FDE UWB systems in the presence of NBI has not received much attention so far.