Electronics and Electrical Engineering and Control

Period estimation of aliasing pulse sequences based on sparse reconstruction

  • XU Chengwei ,
  • TAO Jianwu
Expand
  • School of Aviation Operations and Services, Air Force Aviation University, Changchun 130022, China

Received date: 2018-01-29

  Revised date: 2018-04-11

  Online published: 2018-04-11

Supported by

National Natural Science Foundation of China (61571462)

Abstract

Previous methods have the shortcomings in overcoming the period estimation of aliased pulse signals with large jitter and high missing rate. This paper proposes a new method for hidden sub-period estimation of aliased pulse sequences based on sparse reconstruction. The method first interpolates and re-samples the pulse sequence obtained by mixing multiple pulse trains with different periods, and then establishes the sparse representation model of the aliasing pulse sequence by using the periodic dictionary constructed by Ramanujan. Finally, the joint l2,0 mixing norm algorithm is applied to obtain the periodic estimation of the aliasing pulse sequence. The method has the advantages of strong anti-noise ability and anti-pulse ability, and is not affected by the change of primary phase. Shorter pulse data length is needed to obtain an accurate periodic sparse solution. Simulation results show that the proposed method has better estimation performance.

Cite this article

XU Chengwei , TAO Jianwu . Period estimation of aliasing pulse sequences based on sparse reconstruction[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018 , 39(7) : 322054 -322054 . DOI: 10.7527/S1000-6893.2018.22054

References

[1] ERDEN F, CETIN A E. Period estimation of an almost periodic signal using persistent homology with application to respiratory rate measurement[J]. IEEE Signal Processing Letters, 2017, 24(7):958-962.
[2] LIU Y, GUO F, ZHANG M, et al. Extraction of pulse repetition interval based on incomplete, noisy TOA measurements by the moving passive receiver[C]//Sensor Signal Processing for Defence. Piscataway, NJ:IEEE Press, 2015:1-4.
[3] BHADURI S, SAHA S K, MAZUMDAR C. A novel method for tempo detection of INDIC Tala-s[C]//Emerging Applications of Information Technology. Piscataway, NJ:IEEE Press, 2014:222-227.
[4] ROSSONI E, FENG J. A nonparametric approach to extract information from interspike interval data[J]. Journal of Neuroscience Methods, 2006, 150(1):30-40.
[5] MARSELLA L, SIROCCO F, TROVATO A, et al. REPETITA:Detection and discrimination of the periodicity of protein solenoid repeats by discrete Fourier transform[J]. Bioinformatics, 2009, 25(12):289-295.
[6] COOPER D C. Electronic intelligence:The analysis of radar signals[J]. Electronics & Power, 2009, 30(3):242.
[7] 宋佳凝, 徐国栋, 董立珉, 等. 基于TOA信息的脉冲星信号周期估计方法[J]. 光子学报, 2017, 46(5):10-19. SONG J N, XU G D, DONG L M, et al. Pulse period estimation method based on TOA information[J].Acta Photonica Sinca, 2017, 46(5):10-19(in Chinese).
[8] FOGEL E, GAVISH M. Parameter estimation of quasi-periodic sequences[C]//International Conference on Aco-ustics, Speech, and Signal Processing. Piscataway, NJ:IEEE Press, 1988:2348-2351.
[9] SADLER B M, CASEY S D. On periodic pulse interval analysis with outliers and missing observations[J]. IEEE Transactions on Signal Processing, 1996, 46(11):2990-3002.
[10] SIDIROPOULOS N D, SWAMI A, SADLER B M. Quasi-ML period estimation from incomplete timing data[J]. IEEE Transactions on Signal Processing, 2005, 53(2):733-739.
[11] CLARKSON I V L. Approximate maximum-likelihood period estimation from sparse, noisy timing data[J]. IEEE Transactions on Signal Processing, 2008, 56(5):1779-1787.
[12] 叶浩欢, 柳征, 姜文利. 基于自适应步长选择的周期格型线搜索估计[J]. 航空学报, 2012, 33(8):1498-1507. YE H H, LIU Z, JIANG W L. Period estimation via lattice line search with adaptive step-size selection[J]. Acta Aeronautica et Astronautica Sinca, 2012, 33(8):1498-1507(in Chinese).
[13] YE H, LIU Z, JIANG W. Fast approximate maximum likelihood period estimation from incomplete timing data[J]. Chinese Journal of Aeronautics, 2013, 26(2):435-441.
[14] MCKILLIAM R G, CLARKSON I V L, QUINN B G. Fast sparse period estimation[J]. IEEE Signal Processing Letters, 2015, 22(1):62-66.
[15] VAIDYANATHAN P P, PAL P. The farey-dictionary for sparse representation of periodic signals[C]//IEEE International Conference on Acoustics, Speech and Signal Processing. Piscataway, NJ:IEEE Press, 2014:360-364.
[16] TENNETI S V, VAIDYANATHAN P P. Nested periodic matrices and dictionaries:New signal representations for period estimation[J]. IEEE Transactions on Signal Processing, 2015, 63(14):3736-3750.
[17] VAIDYANATHAN P P. Ramanujan sums in the context of signal processing-Part I:Fundamentals[J]. IEEE Transactions on Signal Processing, 2014, 62(16):4145-4157.
[18] VAIDYANATHAN P P. Ramanujan sums in the context of signal processing-Part Ⅱ:FIR representations and applications[J]. IEEE Transactions on Signal Processing, 2014, 62(16):4158-4172.
[19] RAMANUJIAN S. On certain trigonometrical sums and their applications in the theory of numbers[J]. Transastions of the Cambridge Philosophical Society, 1918, 22(13):259-276.
[20] HYDER M M, MAHATA K. Coherent spectral analysis of asynchronously sampled signals[J]. IEEE Signal Processing Letters, 2011, 18(2):126-129.
[21] HYDER M M, MAHATA K. A robust algorithm for joint-sparse recovery[J]. IEEE Signal Processing Letters, 2009, 16(12):1091-1094.
[22] HYDER M M, MAHATA K. Direction-of-arrival estimation using a mixed l2,0 norm approximation[J]. IEEE Transactions on Signal Processing, 2010, 58(9):4646-4655.
Outlines

/