Convergence properties of the multistage constant modulus array forcorrelated sources

  • Authors:
  • A. Mathur;A.V. Keerthi;J.J. Shynk;R.P. Gooch

  • Affiliations:
  • Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA;-;-;-

  • Venue:
  • IEEE Transactions on Signal Processing
  • Year:
  • 1997

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Abstract

A steady-state analysis of the multistage constant modulus (CM) array is presented for the case of correlated source signals. Using a Wiener model for the converged adaptive algorithms, it is demonstrated that because of the cascade structure, signal cross-correlation causes “phantom” sources to be present. The resulting signal leakage in the adaptive cancellers between stages causes an increase in the minimum mean-square error. A parallel implementation that overcomes this loss in performance is described; it requires an initialization strategy to ensure that each stage captures a different source. Computer simulations are presented to illustrate the convergence properties of the cascade and parallel CM array systems and to verify the theoretical results