Abstract
A new method is presented for estimating the arrival times of overlapping signal pulses that are separated by less than the duration of the signal autocorrelation function. The method is based on the observation that if the signal has a flat band‐limited spectrum, then the maximum‐likelihood estimator for the time of arrivals can be approximately transformed into an equivalent high‐resolution exponential parameter estimation problem. Then, an improved linear prediction algorithm [D. W. Tufts and R. Kumaresan, Proc. IEEE 70, 975–989 (1982)] for high resolution exponential parameter estimation is used to estimate the time of arrivals. The proposed method is computer simulated for two linear FM sweep signal pulses at various separations and signal‐to‐noise ratios. The simulation results are compared to the Cramer‐Rao lower bound (CRLB). These results indicate performance close to the CRLB over a reasonable range of pulse separation and signal‐to‐noise ratios.
Published Version
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