# Mapping Target Location from Doppler Data

## TL;DR

This paper introduces an algorithm that determines a target location curve on Earth's surface using Doppler shift measurements from UAVs or satellites, incorporating terrain data and environmental factors.

## Contribution

The novel algorithm combines Doppler data, terrain mapping, and environmental considerations to accurately locate a stationary emitter on Earth's surface.

## Key findings

- Successfully maps target location curves using Doppler data.
- Incorporates Earth's rotation and atmospheric effects into the model.
- Provides a method to handle measurement errors and uncertainties.

## Abstract

In this paper, we present an algorithm for determining a curve on the earth's terrain on which a stationary emitter must lie according to a single Doppler shift measured on an unmanned aerial vehicle (UAV) or a low earth orbit satellite (LEOS). The mobile vehicle measures the Doppler shift and uses it to build equations for a particular right circular cone according to the Doppler shift and the vehicle's velocity, then determines a curve consisting of points which represents the intersections of the cone with an ellipsoid that approximately describes the earth's surface. The intersection points of the cone with the ellipsoid are mapped into a digital terrain data set, namely Digital Terrain Elevation Data (DTED), to generate the intersection points on the earth's terrain. The work includes consideration of the possibility that the rotation of the earth could affect the Doppler shift, and of the errors resulting from the non-constant refractive index of the atmosphere and from lack of precise knowledge of the transmitter frequency.