Non-Iterative Hyperbolic Equation System Solution with Analytical Expression Resolution

Resource Overview

Y.T. Chan's paper presents a non-recursive hyperbolic equation system solution featuring analytical expression-based resolution. This algorithm offers computational efficiency with minimal calculations and rapid processing speed. When TDOA parameter estimation errors follow a Gaussian distribution, it achieves high positioning accuracy. This MATLAB implementation adapts Chan's proposed algorithm to estimate signal source locations using known TDOA estimation parameters. The program provides valuable assistance for researchers working on interference source localization and passive positioning systems, featuring optimized matrix operations and error handling mechanisms.

Detailed Documentation

Y.T. Chan's research paper introduces a non-iterative hyperbolic equation system solution with analytical expression resolution. This algorithm not only demonstrates computational efficiency with minimal calculations and fast processing speed, but also achieves high positioning accuracy when TDOA parameter estimation errors follow a Gaussian distribution. Our program implements an enhanced version of Chan's original algorithm through MATLAB coding. By utilizing known TDOA estimation parameters, we enable more accurate signal source position estimation through sophisticated matrix manipulation and least-square optimization techniques. The implementation includes key functions for coordinate transformation and error covariance analysis, making this algorithm particularly significant for interference source localization and passive positioning research. We aim to provide valuable assistance and inspiration for researchers in related fields through this optimized computational approach.