Performance of parameter estimation from UWB-IR signals with an array of orthonormal correlators

The performance of a method for the estimation of physical parameters from impulsive waveforms utilizing an array of correlators is studied through Cramar-Rao lower bound analysis. The analysis is made possible by the introduction of a Hermite wavelet model for the impulsive signals. Exploiting the existence of closed-form correlation formulae of Hermite wavelets, the problem of parameter estimation from ultra wideband (UWB) impulse-radio signals is brought to conditions similar to those found in conventional narrow-band array signal processing, and yielding a mathematical mathematically tractable description of the output of the array of correlators. Numerical examples exploring the influences of the array topology and template waveform design on the estimation accuracies of angle of arrival and time difference of arrival are also provided.