Statistical Properties of Target Localization Using Passive Radar Systems

TL;DR

This paper analyzes the statistical properties of target localization in passive radar systems using the Extended Cancellation Algorithm, providing theoretical insights and simulation validation for system performance prediction.

Contribution

It derives the statistical properties of ECA parameter estimates under high SNR conditions and establishes a SNR threshold for efficient estimation, aiding system design.

Findings

Theoretical derivation of ECA estimate statistics.

Validation of theory through computer simulations.

Identification of SNR conditions for efficient estimates.

Abstract

Passive Radar Systems have received tremendous attention during the past few decades, due to their low cost and ability to remain covert during operation. Such systems do not transmit any energy themselves, but rely on a so-called Illuminator-of-Opportunity (IO), for example a commercial TV station. A network of Receiving Nodes (RN) receive the direct signal as well as reflections from possible targets. The RNs transmit information to a Central Node (CN), that performs the final target detection, localization and tracking. A large number of methods and algorithms for target detection and localization have been proposed in the literature. In the present contribution, the focus is on the seminal Extended Cancelation Algorithm (ECA), in which each RN estimates target parameters after canceling interference from the direct-path as well as clutter from unwanted stationary objects. This is done by exploiting a separate Reference Channel (RC), which captures the IO signal without interference apart from receiver noise. We derive the statistical properties of the ECA parameter estimates under the assumption of a high Signal-to-Noise Ratio (SNR), and we give a sufficient condition for the SNR in the RC to enable statistically efficient estimates. The theoretical results are corroborated through computer simulations, which show that the theory agrees well with empirical results above a certain SNR threshold. The results can be used to predict the performance of passive radar systems in given scenarios, which is useful for feasibility studies as well as system design.