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Polynomial Root Finding on Frequency Estimation with Sub-Nyquist Temporal Sampling

Hai-jie SHI(石海杰), Zhi-guo GUI(桂志国), Quan ZHANG(张权)

 

(School of Information Communication and Engineering of North University of China,Taiyuan 030051,China)

 

Abstract-This paper addresses an algebraic approach for wideband frequency estimation with sub-Nyquist temporal sampling. Firstly, an algorithm based on double polynomial root finding procedure to estimate aliasing frequencies and joint aliasing frequencies-time delay phases in multi-signal situation is presented. Since the sum of time delay phases determined from the least squares estimation shows the characteristics of the corresponding parameters pairs, then the pair-matching method is conducted by combining it with estimated parameters mentioned above. Although the proposed method is computationally simpler than the conventional schemes, simulation results show that it can approach optimum estimation performance.

 

Key words-wideband frequency estimation; sub-nyquist sampling; polynomial root finding; pair matching

 

Manuscript Number: 1674-8042(2011)04-0349-04

 

doi: 10.3969/j.issn.1674-8042.2011.04.011

 

References

 

[1] W.S.McCormick, D.E. Miller, 1995. Resolution of aambiguity problem in multiple frequency spectral estimation. IEEE Trans. Aerospace and Electronic System, 31(1): 2-8.
[2] S.Kay,1989. A fast and accurate single frequency estimator. IEEE Trans. Acousti Speech Signal Processing, 37(12): 1987-1990.
[3] M.D.Zoltowski, C.P.Mathews, 1994. Real-time frequency and 2-D angle estimation with sub-Nyquist spatio- temporal sampling. IEEE Trans. Signal Process, 42(10): 2781-2794.
[4] P.E.Pace, R.E.Leino, D.Styer, 1997. Use of the symmetrical number system in resolving single-frequency undersampled aliases. IEEE Trans. Signal Process, 45(5): 1153-1160.
[5] Xiang-Gen Xia, 2000. An efficient frequency-determination algorithm from multiple undersampled waveforms. IEEE Trans. Signal Processing letters, 7(2): 34-37.
[6] Bin Tang, Xian-ci Xiao, 1997. Multiple frequencies estimation with sub-sampling. Journal of Electronics, 19(5): 619-624.
[7] Hong-yang Wang, Gui-sheng Liao, Yun-tao Wu, 2004. Frequency estimation with sub-Nyquist sampling. Acta Electronica Sinica, 32(12):1978-1981.

 

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