{'fraction_non_alphanumeric': 0.016236162361623615, 'fraction_numerical': 0.0007380073800738007, 'mean_word_length': 5.306976744186047, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 1, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Detection and estimation for multiple targets with two omnidirectional sensors in the presence of false measurements

A track-before-detect methodology for target detection and estimation in the presence of false measurements is presented that uses two omnidirectional passive sensors. The estimation technique is based on maximum-likelihood estimation. The measurement model is nonlinear and includes false alarms. The algorithm is first developed for a single target and then extended to multiple targets. For multiple targets, unresolved measurements are also considered to provide a realistic analysis of targets crossing in the measurement space. The Cramer-Rao lower bound is derived for the target parameter estimation in the presence of false measurement. A detection mechanism that can validate the existence of a target corresponding to the estimated track is formulated. For a single target, it is shown that only the global maximum leads to the acceptance of the target hypothesis. The test for multiple targets is obtained by formulating a multiple-hypotheses problem. The theoretical performance predictions are validated via Monte Carlo simulations. The effect on the performance of the density of false measurements is illustrated in examples. The highest false-measurement density for which this technique works corresponds to SNR=2 dB. >