Stochastic Stability Analysis for the Constant-Modulus Algorithm

  • Authors:
  • V.H. Nascimento;M.T.M. Silva

  • Affiliations:
  • Dept. of Electron. Syst. Eng., Univ. of Sao Paulo, Sao Paulo;-

  • Venue:
  • IEEE Transactions on Signal Processing - Part I
  • Year:
  • 2008

Quantified Score

Hi-index 0.00

Visualization

Abstract

We derive an easy-to-compute approximate bound for the range of step-sizes for which the constant-modulus algorithm (CMA) will remain stable if initialized close to a minimum of the CM cost function. Our model highlights the influence of the signal constellation used in the transmission system: for smaller variation in the modulus of the transmitted symbols, the algorithm will be more robust, and the steady-state misadjustment will be smaller. The theoretical results are validated through several simulations, for long and short filters and channels.