Signal Delay Reconstruction Method Based on Dynamic Index and Complex-Coefficient Lagrange Interpolation

ZHOU Yang; ZHENG Zhe; WU Siliang

doi:10.1049/cje.2015.10.014

Volume 24 Issue 4

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ZHOU Yang, ZHENG Zhe, WU Siliang, “Signal Delay Reconstruction Method Based on Dynamic Index and Complex-Coefficient Lagrange Interpolation,” Chinese Journal of Electronics, vol. 24, no. 4, pp. 750-754, 2015, doi: 10.1049/cje.2015.10.014

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ZHOU Yang, ZHENG Zhe, WU Siliang, “Signal Delay Reconstruction Method Based on Dynamic Index and Complex-Coefficient Lagrange Interpolation,” Chinese Journal of Electronics, vol. 24, no. 4, pp. 750-754, 2015, doi: 10.1049/cje.2015.10.014

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Signal Delay Reconstruction Method Based on Dynamic Index and Complex-Coefficient Lagrange Interpolation

doi: 10.1049/cje.2015.10.014

School of Information and Electronics, Beijing Institute of Technology, Beijing 100081, China

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Corresponding author: ZHENG Zhe (corresponding author)was born in Heilongjiang in 1975. Heworked as post-doctoral fellow in BeijingInstitute of Technology from 2004 to2006. His research interests include superclose-in radar's complex target simulation,clutter simulation and generalizeddynamic channel simulation. (Email:zhengzhebit@bit.edu.cn)
Received Date: 2013-06-07
Rev Recd Date: 2013-07-25
Publish Date: 2015-10-10

Abstract

Abstract

This paper presents a large-range, high-precision and continuously variable delay reconstruction method for wideband and arbitrary bandlimited signal, which combines dynamic index technique with complex-coefficient Lagrange interpolation technique. The method samples time-continuous bandlimited signal and stores samples in sequence. It manages to obtain the high-precision delay parameters of every sampling period from desired delay to compute the so-called index position variable and interpolator parameters. It dynamically indexes and chooses a set of samples to implement piecewise complex-coefficient Lagrange interpolation for reconstructing the delayed sequences. The time-continuous delay reconstruction signal can be simply accomplished through digital-to-analog conversion. The mathematical model of the method and its transformed form is given, and the arithmetic of dynamic index and complex-coefficient Lagrange interpolation is derived. Simulation and test results show the validity and performance of the method.
- Signal delay reconstruction,
- Continuously variable delay,
- Dynamic index,
- Complex-coefficient Lagrange interpolation

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References(12)

References

W.J. Chen, J. Wang and Z.P. Nie, "Study on the calibration of receiving channel and beamforming technology for wideband digital array antennas", Acta Electronica Sinica, Vol.41, No.3, pp.582-586, 2013. (in Chinese)

C. Zheng and T.T. Tjhung, "A new time delay estimator based on ETDE", IEEE Transactions on Signal Processing, Vol.51, No.7, pp.1859-1869, 2003.

Z. Zheng, S.L. Wu and Y. Zhou, "Research on generalized simulation of Aerospace TT & C channel based on equal interval sampling-unequal interval reconstruction", Chinese Journal of Electronics, Vol.20, No.4, pp.766-768, 2011.

B. Parthasarathy, T. Plummer, et al., "Target simulator to calibrate wideband radar in measuring the internal layers of the greenland ice sheet", IEEE Geoscience and Remote Sensing Letters, Vol.1, No.2, pp.122-126, 2004.

L. Reindl, C.C.W. Ruppel, S. Berek, et al., "Design, fabrication, and application of precise SAW delay lines used in an FMCW radar system", IEEE Transactions on Microwave Theory and Techniques, Vol.49, No.4, pp.787-794, 2001.

J.J. Shyu and S.C. Pei, "A generalized approach to the design of variable fractional-delay FIR digital filters", Signal Processing, Vol.88, No.6, pp.1428-1435, 2008.

T.B. Deng, S. Chivapreecha and K. Dejhan, "Bi-minimax design of even-order variable fractional-delay FIR digital filters", IEEE Transactions on Circuits and Systems-I: Regular Papers, Vol.59, No.8, pp.1766-1774, 2012.

K.S. Pun, Y.C.Wu, S.C. Chan and K.L. Ho, "On the design and efficient implementation of the Farrow structure", IEEE Signal Processing Letters, Vol.10, No.7, pp.189-192, 2003.

C.C. Tseng, et al., "Design of fractional delay filter using Hermite interpolation method", IEEE Transactions on Circuits and Systems-I: Regular Papers, Vol.59, No.7, pp.1458-1471, 2012.

V. Vaelimaeki and A. Haghparast, "Fractional delay filter design based on truncated Lagrange interpolation", IEEE Signal Processing Letters, Vol.14, No.11, pp.816-819, 2007.

S. Samadi, et al., "Results on maximally flat fractional-delay systems", IEEE Transactions on Circuits and Systems-I: Regular Papers, Vol.51, No.11, pp.2271-2285, 2004.

S. Samadi, A. Nishihara and H. Iwakura, "Universal maximally flat lowpass FIR systems", IEEE Transactions on Signal Processing, Vol.48, No.7, pp.1956-1963, 2000.

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