Skip to main content
Erschienen in: Wireless Personal Communications 3/2017

24.05.2017

Multicomponent Chirp Signal Detection Based on Discrete Chirp-Fourier Transform

verfasst von: Junfang Li, Bingbing Li, Zixun Guo, Mingqian Liu, Yongming Guo

Erschienen in: Wireless Personal Communications | Ausgabe 3/2017

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

This paper investigates the signal detection of multiple chirps based on the discrete chirp-Fourier transform (DCFT). The detection method based on signal energy is proposed and the detection performance is analyzed. Firstly, the relationship of signal energy in both the time and DCFT domain is analyzed. An important property is presented, that is, the total energy of the signal in the time domain is equal to the sum of energy along the direction of constant frequency in the DCFT domain. The detection decision threshold of the multicomponent chirp signal is derived in ideal noiseless environment. Secondly, by analyzing the characters of the additive independent identical distribution Gaussian white noise in the DCFT domain, the modified detection decision threshold of the multicomponent chirp signal is determined in noisy environment. Finally, the simulation results show the effectiveness of the proposed method.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Gao, Y. & Wang, K. et al. (2012). Estimating target-induced azimuth envelope for SAR image formation and feature extraction. In Geoscience and Remote Sensing Symposium (IGARSS), 2012 IEEE International. (pp. 5820–5823). IEEE. Gao, Y. & Wang, K. et al. (2012). Estimating target-induced azimuth envelope for SAR image formation and feature extraction. In Geoscience and Remote Sensing Symposium (IGARSS), 2012 IEEE International. (pp. 5820–5823). IEEE.
2.
Zurück zum Zitat Wang, W. Q., & Cai, J. (2012). MIMO SAR using chirp diverse waveform for wide-swath remote sensing. IEEE Transactions on Aerospace and Electronic Systems, 48(4), 3171–3185.CrossRef Wang, W. Q., & Cai, J. (2012). MIMO SAR using chirp diverse waveform for wide-swath remote sensing. IEEE Transactions on Aerospace and Electronic Systems, 48(4), 3171–3185.CrossRef
3.
Zurück zum Zitat Chen, J. et al. (2013) ISAR imaging of multiple moving targets using signals separation. In Proceedings 2013 International Conference on Mechatronic Sciences, Electric Engineering and Computer (MEC). (pp. 1156–1159). IEEE. Chen, J. et al. (2013) ISAR imaging of multiple moving targets using signals separation. In Proceedings 2013 International Conference on Mechatronic Sciences, Electric Engineering and Computer (MEC). (pp. 1156–1159). IEEE.
4.
Zurück zum Zitat Zheng, J., Su, T., Zhang, L., et al. (2014). ISAR imaging of targets with complex motion based on the chirp rate–quadratic chirp rate distribution. IEEE Transactions on Geoscience & Remote Sensing, 52(11), 7276–7289.CrossRef Zheng, J., Su, T., Zhang, L., et al. (2014). ISAR imaging of targets with complex motion based on the chirp rate–quadratic chirp rate distribution. IEEE Transactions on Geoscience & Remote Sensing, 52(11), 7276–7289.CrossRef
5.
Zurück zum Zitat Ye, Y., Ying, F., & Qingfu, L. (2009) Detection and parameter estimation of multicomponent LFM signals based on Hilbert-Huang Hough transform. In Asia-Pacific Conference on Computational Intelligence and Industrial Applications, 2009. PACIIA (Vol. 1 pp. 476–479). IEEE. Ye, Y., Ying, F., & Qingfu, L. (2009) Detection and parameter estimation of multicomponent LFM signals based on Hilbert-Huang Hough transform. In Asia-Pacific Conference on Computational Intelligence and Industrial Applications, 2009. PACIIA (Vol. 1 pp. 476–479). IEEE.
6.
Zurück zum Zitat Bi, G., Li, X., & See, C. M. S. (2011). LFM signal detection using LPP-Hough transform. Signal Processing, 91(6), 1432–1443.CrossRefMATH Bi, G., Li, X., & See, C. M. S. (2011). LFM signal detection using LPP-Hough transform. Signal Processing, 91(6), 1432–1443.CrossRefMATH
7.
Zurück zum Zitat Wood, J. C., & Barry, D. T. (1994). Radon transformation of time-frequency distributions for analysis of multicomponent signals. IEEE Transactions on Signal Processing, 42(11), 3166–3177.CrossRef Wood, J. C., & Barry, D. T. (1994). Radon transformation of time-frequency distributions for analysis of multicomponent signals. IEEE Transactions on Signal Processing, 42(11), 3166–3177.CrossRef
8.
Zurück zum Zitat Li, W. (1987). Wigner distribution method equivalent to dechirp method for detecting a chirp signal. IEEE Transactions on Acoustics, Speech and Signal Processing, 35(8), 1210–1211.CrossRef Li, W. (1987). Wigner distribution method equivalent to dechirp method for detecting a chirp signal. IEEE Transactions on Acoustics, Speech and Signal Processing, 35(8), 1210–1211.CrossRef
9.
Zurück zum Zitat Wood, J. C., & Barry, D. T. (1994). Linear signal synthesis using the Radon–Wigner transform. IEEE Transactions on Signal Processing, 42(8), 2105–2111.CrossRef Wood, J. C., & Barry, D. T. (1994). Linear signal synthesis using the Radon–Wigner transform. IEEE Transactions on Signal Processing, 42(8), 2105–2111.CrossRef
10.
Zurück zum Zitat Barbarossa, S. (1995). Analysis of multicomponent LFM signals by a combined Wigner–Hough transform. IEEE Transactions on Signal Processing, 43(6), 1511–1515.CrossRef Barbarossa, S. (1995). Analysis of multicomponent LFM signals by a combined Wigner–Hough transform. IEEE Transactions on Signal Processing, 43(6), 1511–1515.CrossRef
11.
Zurück zum Zitat Xia, Y., Piao, S. & Fu, Y. (2009) Combination of WVD with TRM on detection of LFM signal in inhomogeneous medium. In 4th IEEE Conference on Industrial Electronics and Applications, 2009. ICIEA. (pp. 3864–3867). IEEE. Xia, Y., Piao, S. & Fu, Y. (2009) Combination of WVD with TRM on detection of LFM signal in inhomogeneous medium. In 4th IEEE Conference on Industrial Electronics and Applications, 2009. ICIEA. (pp. 3864–3867). IEEE.
12.
Zurück zum Zitat Wang, Q., Pepin, M., Beach, R. J., et al. (2012). SAR-based vibration estimation using the discrete fractional Fourier transform. IEEE Transactions on Geoscience and Remote Sensing, 50(10), 4145–4156.CrossRef Wang, Q., Pepin, M., Beach, R. J., et al. (2012). SAR-based vibration estimation using the discrete fractional Fourier transform. IEEE Transactions on Geoscience and Remote Sensing, 50(10), 4145–4156.CrossRef
13.
Zurück zum Zitat Saxena, R., & Singh, K. (2013). Fractional Fourier transform: A novel tool for signal processing. Journal of the Indian Institute of Science, 85(1), 11. Saxena, R., & Singh, K. (2013). Fractional Fourier transform: A novel tool for signal processing. Journal of the Indian Institute of Science, 85(1), 11.
14.
Zurück zum Zitat Shen, L., Yin, Q., et al. (2013). Linear FM signal parameter estimation using STFT and FRFT. Chinese Journal of Electronics, 22(2), 301–307. Shen, L., Yin, Q., et al. (2013). Linear FM signal parameter estimation using STFT and FRFT. Chinese Journal of Electronics, 22(2), 301–307.
15.
Zurück zum Zitat Wu, Y. J., Fu, G., & Zhu, Y. M. (2014). LFM signal detection method based on fractional fourier transform. Advanced Materials Research, 989, 4001–4004.CrossRef Wu, Y. J., Fu, G., & Zhu, Y. M. (2014). LFM signal detection method based on fractional fourier transform. Advanced Materials Research, 989, 4001–4004.CrossRef
16.
Zurück zum Zitat Hao, H. (2013). Multi component LFM signal detection and parameter estimation based on EEMD–FRFT. Optik-International Journal for Light and Electron Optics, 124(23), 6093–6096.CrossRef Hao, H. (2013). Multi component LFM signal detection and parameter estimation based on EEMD–FRFT. Optik-International Journal for Light and Electron Optics, 124(23), 6093–6096.CrossRef
17.
Zurück zum Zitat Xia, X. G. (2000). Discrete chirp-Fourier transform and its application to chirp rate estimation. IEEE Transactions on Signal Processing, 48(11), 3122–3133.MathSciNetCrossRefMATH Xia, X. G. (2000). Discrete chirp-Fourier transform and its application to chirp rate estimation. IEEE Transactions on Signal Processing, 48(11), 3122–3133.MathSciNetCrossRefMATH
18.
Zurück zum Zitat Yang, P., Liu, Z., & Jiang, W. L. (2015). Parameter estimation of multi-component chirp signals based on discrete chirp Fourier transform and population Monte Carlo. Signal, Image and Video Processing, 9(5), 1137–1149.CrossRef Yang, P., Liu, Z., & Jiang, W. L. (2015). Parameter estimation of multi-component chirp signals based on discrete chirp Fourier transform and population Monte Carlo. Signal, Image and Video Processing, 9(5), 1137–1149.CrossRef
19.
Zurück zum Zitat Bouchikhi, A., Boudraa, A. O., Cexus, J. C., et al. (2014). Analysis of multicomponent LFM signals by Teager Huang–Hough transform. IEEE Transactions on Aerospace and Electronic Systems, 50(2), 1222–1233.CrossRef Bouchikhi, A., Boudraa, A. O., Cexus, J. C., et al. (2014). Analysis of multicomponent LFM signals by Teager Huang–Hough transform. IEEE Transactions on Aerospace and Electronic Systems, 50(2), 1222–1233.CrossRef
20.
Zurück zum Zitat Fan, P. & Xia, X. G. (2000). A modified discrete chirp-Fourier transform scheme. In 5th International Conference on Signal Processing Proceedings, 2000. WCCC-ICSP. (Vol. 1, pp. 57–60). IEEE. Fan, P. & Xia, X. G. (2000). A modified discrete chirp-Fourier transform scheme. In 5th International Conference on Signal Processing Proceedings, 2000. WCCC-ICSP. (Vol. 1, pp. 57–60). IEEE.
21.
Zurück zum Zitat Fan, P., & Xia, X. G. (2001). Two modified discrete chirp Fourier transform schemes. Science in China Series: Information Sciences, 44(5), 329–341.MathSciNetMATH Fan, P., & Xia, X. G. (2001). Two modified discrete chirp Fourier transform schemes. Science in China Series: Information Sciences, 44(5), 329–341.MathSciNetMATH
22.
Zurück zum Zitat Sun, H., Guo, X., Gu, H., et al. (2003). Modified discrete chirp-Fourier transform and its application to SAR moving target detection. Acta Electronica Sinica, 31(1), 25–28. Sun, H., Guo, X., Gu, H., et al. (2003). Modified discrete chirp-Fourier transform and its application to SAR moving target detection. Acta Electronica Sinica, 31(1), 25–28.
23.
Zurück zum Zitat Junxian, L., Pingping L. & Jiexin, P. (2005). Doppler frequency parameters estimation for SAR imaging using a modified discrete chirp-Fourier transform. In IEEE International Conference on Mechatronics and Automation, 2005. (Vol. 2, pp. 649–652). IEEE. Junxian, L., Pingping L. & Jiexin, P. (2005). Doppler frequency parameters estimation for SAR imaging using a modified discrete chirp-Fourier transform. In IEEE International Conference on Mechatronics and Automation, 2005. (Vol. 2, pp. 649–652). IEEE.
24.
Zurück zum Zitat Penglang, G. Y. M. S. (2008). Circularly shifting discrete chirp-Fourier transform. Journal of Electronics and Information Technology, 8(30), 1882–1885. Penglang, G. Y. M. S. (2008). Circularly shifting discrete chirp-Fourier transform. Journal of Electronics and Information Technology, 8(30), 1882–1885.
25.
Zurück zum Zitat Aceros-Moreno, C. A. & Rodriguez, D. (2005) Fast discrete chirp Fourier transforms for radar signal detection systems using cluster computer implementations. In 48th Midwest Symposium on Circuits and Systems, 2005. (pp. 1047–1050). IEEE. Aceros-Moreno, C. A. & Rodriguez, D. (2005) Fast discrete chirp Fourier transforms for radar signal detection systems using cluster computer implementations. In 48th Midwest Symposium on Circuits and Systems, 2005. (pp. 1047–1050). IEEE.
26.
Zurück zum Zitat Bin, L. H. T. (2007). A fast DCFT algorithm for parameter estimation of LFM signal. Signal Processing, 2, 004. Bin, L. H. T. (2007). A fast DCFT algorithm for parameter estimation of LFM signal. Signal Processing, 2, 004.
Metadaten
Titel
Multicomponent Chirp Signal Detection Based on Discrete Chirp-Fourier Transform
verfasst von
Junfang Li
Bingbing Li
Zixun Guo
Mingqian Liu
Yongming Guo
Publikationsdatum
24.05.2017
Verlag
Springer US
Erschienen in
Wireless Personal Communications / Ausgabe 3/2017
Print ISSN: 0929-6212
Elektronische ISSN: 1572-834X
DOI
https://doi.org/10.1007/s11277-017-4392-z

Weitere Artikel der Ausgabe 3/2017

Wireless Personal Communications 3/2017 Zur Ausgabe

Neuer Inhalt