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Volume 25 Issue 3
Mar.  2003
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Wei Ping, Xiao Xianei. Analysis and applications of higher-order ergodicity of harmonic process[J]. Journal of Electronics & Information Technology, 2003, 25(3): 333-339.
Citation: Wei Ping, Xiao Xianei. Analysis and applications of higher-order ergodicity of harmonic process[J]. Journal of Electronics & Information Technology, 2003, 25(3): 333-339.

Analysis and applications of higher-order ergodicity of harmonic process

  • Received Date: 2001-10-26
  • Rev Recd Date: 2002-06-13
  • Publish Date: 2003-03-19
  • The higher-order statistics has found applications in the wide area of signal processing problem. However in some practical applications, only a sample of the objective process can be obtained. Thus the statistical average must be replaced by time average. The precondition to do this is the ergodicity of the processes. The ergodicity of the higher-order statistics of the harmonic processes is analyzed in this paper. Further more, the applications of the ergodicity in the phase coupling recognition and the array processing problems using higher-order statistics are proposed in this paper. Simulation examples verified those results.
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  • J.M. Mendel, Tutorial on higher-order statistics(spectra) in signal processing and system theory:theoretical results and some applications, Proc. IEEE, 1991, 79(3), 278-305.[2]C.L. Nikias, M. R. Raghuveer, Bispectrum estimation: A digital signal processing framework,Proc. IEEE, 1987, 75(7), 869-891.[3]B. Porat, B. Friedlander, Direction finding algorithms based on high-ordcr statistics, IEEE Trans.on SP, 1991, SP-39(9), 2016-2023.[4]M.C. Dogan, J. M. Mendel, Application of cumulants to array processing Part I: Aperture extension and array calibration, IEEE Trans. on SP, 1995 SP-43(5), 1200-1216.
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