Stochastic Stability Analysis for the Constant-Modulus Algorithm

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.

• Type: Journal
• Year: 2008
• Where: TSP
• Authors: Victor H. Nascimento, M. T. M. Silva
• Keywords: Constant-modulus Algorithm, Easy-to-compute Approximate Bound, Signal Constellation, TSP 2008