Time-Delay Estimation Using Quaternion

This paper addressed to research time-delay of two sensors in space. We established a quaternion model using the observed value of two sensors, and constructed Toeplitz matrix of that quaternion model. After analyzing the Toeplitz matrix, we presented our estimation algorithm. Finally, we used right-eigenvalue decomposition of quaternion matrix to construct corresponding noise subspace and then Quaternion-MUSIC method was used to estimate time-delay when the frequency of signal was known. Simulation illustrated that our method was effective.