Abstract
In this paper we propose the adaptive delay estimation system of the impulse response that has the large time delay. We define the impulse response as the response of an unknown system that is represented by the tandem connection of the delay part, the minimum-phase system and the allpass system without loss of generality. The feature of this adaptive system is to estimate the time delay of the unknown system in high accuracy. The study of the delay estimation system based on such a strict modeling has not been found. The influence of the allpass system on the convergence value of the adaptive system is formulated, and it is shown that this influence is below the length of the impulse response. It was clarified that the delay estimation accuracy of an arbitrary system that has the long time delay becomes below the length of short continuance impulse response by using the proposed adaptive system. Finally, the convergence performance of the estimated delay and the tracking performance of the adaptive system are verified by the computer simulation.
