The time delay estimation method of phase data based on high order spectrum is put forward. If the received signal at each sensor is not corrupted by spatial correlated Gaussian noise, the phase data method of traditional cross spectrum ewhibits a better performance.However, the method yields ambiguous results when the noise terms at the two sensors are correlated. The method proposed in this paper can alleviate the problem and give an explicit result. The time delay precision can be improved by using weighting function in the frequency domain.
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