Influence of Doppler Bin Width on GPS Acquisition Probabilities

TL;DR

This paper analyzes how the width of Doppler bins in GPS signal acquisition affects detection and false alarm probabilities, providing a mathematical expression for expected cell energies to optimize search strategies.

Contribution

It introduces a new analytical expression for expected cell energies based on Doppler bin width, aiding in improving GPS acquisition algorithms.

Findings

Doppler bin width significantly influences acquisition probabilities.

Optimal bin width balances detection and false alarm rates.

Mathematical model enables better search space partitioning.

Abstract

Acquisition is a search in two continuous dimensions, where the digital algorithms require a partitioning of the search space into cells. Depending on the partitioning of the Doppler frequency domain, more than one cell might contain significant signal energy. We present an expression for the expected values of the cells' energies to analyze the impact of the Doppler bin width on detection and false alarm probabilities.