A simplified constant modulus algorithm for blind recovery of MIMO QAM and PSK signals: a criterion with convergence analysis

  • Authors:
  • Aissa Ikhlef;Daniel Le Guennec

  • Affiliations:
  • IETR/SUPELEC, Cesson-Sévigné, France;IETR/SUPELEC, Cesson-Sévigné, France

  • Venue:
  • EURASIP Journal on Wireless Communications and Networking
  • Year:
  • 2007

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Abstract

The problem of blind recovery of QAM and PSK signals for multiple-input multiple-output (MIMO) communication systems is investigated. We propose a simplified version of the well-known constant modulus algorithm (CMA), named simplified CMA (SCMA). The SCMA cost function consists in projection of the MIMO equalizer outputs on one dimension (either real or imaginary part). A study of stationary points of SCMA reveals the absence of any undesirable local stationary points, which ensures a perfect recovery of all signals and a global convergence of the algorithm. Taking advantage of the phase ambiguity in the solution of the new cost function for QAM constellations, we propose a modified cross-correlation term. It is shown that the proposed algorithm presents a lower computational complexity compared to the constant modulus algorithm (CMA) without loss in performances. Some numerical simulations are provided to illustrate the effectiveness of the proposed algorithm.