Receiver operating characteristic for array-based GNSS acquisition

This paper investigates the application of the antenna array Maximum Likelihood (ML) Doppler shift and code delay estimator to the Global Navigation Satellite Systems (GNSS) acquisition problem, considering an unstructured channel model and Additive White Gaussian Noise (AWGN). We propose an acquisition test function based on the ML estimator and we derive the theoretical false alarm and detection probabilities. Furthermore, this work analyzes the effect of the acquisition bandwidth on the Receiver Operating Characteristic (ROC). Finally, we propose an implementation scheme including a baseband filter to improve the acquisition ROC. The simulation results validate the theoretical analysis.