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Vol. 158, Issue 11, November 2013, pp. 289-294




Time Delay Estimation by Bispectrum Interpolation
1 Xiao CHEN, 2 Zhenlin QU

1 Jiangsu Key Laboratory of Meteorological observation and Information Processing, Nanjing University of Information Science and Technology, Ningliu Road 219, Nanjing, 210044, China 2 School of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Ningliu Road 219, Nanjing, 210044, China
1 Tel.:  +86 25 58731196, 1 fax: +86 25 58731196
1 E-mail: chenxiao@nuist.edu.cn


Received: 19 August 2013   /Accepted: 25 October 2013   /Published: 30 November 2013

Digital Sensors and Sensor Sysstems


Abstract: Time delay is an important parameter for the characterization of signal propagation of sensors. In order to improve the precision of time delay estimation, this article proposes an algorithm based on bispectrum interpolation. The algorithm first calculates the characteristic spectrum function on the basis of the bispectrum of the two signals. The frequency domain interpolation is done on the characteristic spectrum function. By conducting the inverse Fourier transform and the maxima seeking method, the calculation formula for the time delay of the two signals is deduced. The simulation test results show that compared with the bispectrum-based time delay estimation method, the bispectrum interpolation-based time delay estimation method has improved greatly in terms of the estimation precision and temporal resolution. The algorithm has the advantages of high precision, small error and strong ability to suppress the correlative Gaussian noise.


Keywords: Time delay, Estimation, Cross-correlation, Bispectrum, Interpolation.


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