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Research Article

Higher order spectral analysis of weather signals

, &
Pages 69-92 | Received 18 Feb 2021, Accepted 07 Aug 2022, Published online: 23 Aug 2022

References

  • Janssen LH, Van Der Spek GA. The shape of Doppler spectra from precipitation. IEEE Trans Aerosp Electron Syst. 1985;21:208–219. DOI:10.1109/TAES.1985.310618.
  • Yu TY, Rondinel RR, Palmer RD. Investigation of non-Gaussian Doppler spectra observed by weather radar in a tornadic supercell. J Atmos Ocean Technol. 2009;26(3):444–461.
  • Dong X, Hu J, Hu C, et al. Rapid identification and spectral moment estimation of non-Gaussian weather radar signal. IEEE Geosci Remote. 2022;60:1–12. DOI:10.1109/TGRS.2022.3168153. Art no. 5112912.
  • Sekine M, Musha T, Tomita Y, et al. On Weibull-distributed weather clutter. IEEE Aero Elec Sys. 1979;15(6):824–830. DOI:10.1109/TAES.1979.308767.
  • Williams C, Maahn M, Hardin J, et al. Clutter mitigation, multiple peaks, and high-order spectral moments in 35 GHz vertically pointing radar velocity spectra. Atmos Meas Tech. 2018;11:4963–4980. DOI:10.5194/amt-11-4963-2018.
  • Giannakis GB, Tsatsanis MK. Signal detection and classification using matched filtering and higher order statistics. IEEE Trans Acoust Speech Signal Process. 1990;38:284–296.
  • Nikias CL, Mendel JM. Signal processing with higher-order spectra. IEEE Signal Proc Mag. 1993;10(3):10–37. DOI:10.1109/79.221324.
  • Nikias CL, Petropulu AP. Higher-order spectral analysis: a nonlinear signal processing framework. Prentice-Hall; 1993. p. 121–150. DOI:10.1016/0967-0661(94)90335-2.
  • Nikias CL, Raghuveer MR. Bispectral estimation: a digital signal processing framework. Proc IEEE 1987;75:869–891.
  • Rosenblatt M, Van Ness JW. Estimation of the bispectrum. Ann Math Statist. 1965;36:1120–1136.
  • Sadler BM, Giannakis GB, Lii KS. Estimation and detection in non-Gaussian noise using higher order statistics. IEEE Trans Signal Process. 1994;42:2729–2741.
  • Kim YC, Powers EJ. Digital bispectral analysis and its applications to non–linear wave interactions. IEEE Trans Plasma Sci. 1979;7:120–131.
  • Cherneva Z, Andreeva N, Petrova P. Bi-spectral analysis of wind wave in the Black Sea coastal zone, 2004.
  • Hara T, Karachintsev A. Observation of nonlinear effects in ocean surface wave frequency spectra. J Phys Oceanogr. 2003;33:422–430.
  • Hasslemann K, Munk W, MacDonald G. Bispectrum of ocean waves. In: M Rossenblatt, editor. Time series analysis. New York: Wiley; 1963. p. 125–139.
  • Barnell TP, Johnson LC, Naitoh P, et al. Bispectrum analysis of electroencephalogram signal during waking and sleeping. Sciences. 1971;172:401–402.
  • Coelli S, Tacchino G, Visani E, et al. Higher order spectral analysis of scalp EEG activity reveals non-linear behaviour during rhythmic visual stimulation. J Neural Eng. 2019;16: 056028; DOI:10.1088/1741-2552/ab296e.
  • Kotriwar Y, Kachhara S, Harikrishnan K, et al. Higher order spectral analysis of ECG signals, 2018.
  • Pradhan C, Jena S, Nadar S, et al. Higher–order spectrum in understanding nonlinearity in EEG rhythms. Comput Math Methods Med. 2012: 206857, DOI:10.1155/2012/206857.
  • Nasrolahzadeh M, Mohammadpoory Z, Haddadnia J. Higher-order spectral analysis of spontaneous speech signals in Alzheimer’s disease. Cogn Neurodyn. 2018;12:583–596; DOI:10.1007/s11571-018-9499-8.
  • Imran A, Elyyan M. Higher-order spectral analysis to identify quadratic nonlinearities in fluid-structure interaction. Math Probl Eng. 2018: 1–14. DOI:10.1155/2018/2394124.
  • Lii KS, Rosenblatt M, Van Atta CW. Bispectral measurements in turbulence. J Fluid Mech. 1976;77:45–62.
  • Birkelund Y, Hanssen A. Improved bispectrum based tests for Gaussianity and linearity. Signal Process. 2009;89:2537–2546. DOI:10.1016/j.sigpro.2009.04.013.
  • Peter Zsolt P, Papp G, Por G, et al. Bicoherence analysis of nonstationary and nonlinear processes, 2018.
  • Pires C, Hannachi A. Bispectral analysis of nonlinear interaction, predictability and stochastic modelling with application to ENSO. Tellus A. 2022;73:1–30. DOI:10.1080/16000870.2020.1866393.
  • Totsky A, Egiazarian K. Bispectrum and bicoherence-based discriminative features used for classification of radar targets and atmospheric formations, 2018, DOI:10.5772/intechopen.71034.
  • Lee J. Doppler moment estimation in a weather radar. Int J Electron. 2002;89:583–592. DOI:10.1080/0020721021000044331.
  • Warde DA, Torres SM. The autocorrelation spectral density for Doppler-weather-radar signal analysis. IEEE Geosci Remote. 2014;52(1):508–518. DOI:10.1109/TGRS.2013.2241775.
  • Dias JMB, Leitao JMN. Nonparametric estimation of mean Doppler and spectral width. IEEE T Geosci Remote. 2000;38(1):271–282. DOI:10.1109/36.823919.
  • Lagha M, Bensebti M. Doppler spectrum estimation by Ramanujan Fourier transforms, 2006.
  • Lagha M, Tikhemirine M, Bergheul S, et al. De-noised estimation of the weather Doppler spectrum by the wavelet method. Digit Signal Process. 2013;23:322–328.
  • Yoshikawa E, Takizawa N, Kikuchi H, et al. An estimator for weather radar Doppler power spectrum via minimum mean square error. IEEE Geosci Remote. 2022;60:1–16. DOI:10.1109/TGRS.2020.3044111.
  • Naumenko V, Totsky A, Khlopov G, et al. Classification of the atmospheric formations by using bicoherence-based features extracted from weather radar backscattering signals. Telecommun Radio Eng. 2016;75:463–475. DOI:10.1615/TelecomRadEng.v75.i5.70.
  • Doviak RJ, Zrnić DS. Doppler radar and weather observations. First edition. Academic Press; 1984. p. 103–119. DOI:10.1016/B978-0-12-221420-2.X5001-7.
  • Bringi VN, Chandrasekar V. Polarimetric Doppler weather radar: principles and applications. Cambridge: Cambridge University Press; 2001. p. 211–293. DOI:10.1017/CBO9780511541094.
  • Brillinger DR, Rosenblatt M. Computation and interpretation of kth order spectra. In: B Harris, editor. Spectral analysis of time series. New York: Wiley; 1967. p. 189–232.
  • Jouny II, Moses RL. The bispectrum of complex signals: definitions and properties. IEEE Trans Signal Process. 1992;40:2833–2836.
  • Schreier PJ, Scharf LL. Higher order spectral analysis of complex signals. Signal Proc. 2006;86:3321–3333. ISSN 0165-1684.
  • Anandan VK, Ramachandra Reddy G, Rao PB. Spectral analysis of atmospheric radar signal using higher order spectral estimation technique. IEEE T Geosci Remote. 2001;39:1890–1895.
  • Bartelt H, Lohmann AW, Wirnitzer B. Phase and amplitude recovery from bispectra. Appl Opt 1984;23:3121–3129.
  • Curtis C. Weather radar time series simulation: improving accuracy and performance. J Atmos Oceanic Technol. 2018;35:2169–2187. DOI:10.1175/JTECH-D-17-0215.1.
  • Zrnic DS. Simulation of weather like Doppler spectra and signals. J Appl Meteorol. 1975;14(4):619.
  • Hildebrand PH, Sekhon RS. Objective determination of the noise level in Doppler spectra. J Appl Meterol. 1974;13:808–811.
  • Browning KA, Wexler R. The determination of kinematic properties of a wind field using Doppler radar. J Appl Meteor. 1968;7:105–113.

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