On improving the convergence of constant modulus algorithm adaptive filters

An FIR (finite impulse response) communications channel is considered. Two computationally simple algorithms are proposed for globally convergent, linear estimation of the FIR channel parameters where the FIR model order is not necessarily known. The estimated channel impulse response is used to derive a reliable initialization for the CMA (constant modulus algorithm) adaptive filter. So initialized, the CMA filter avoids undesirable equilibria and saddle points. A simulation example is presented to illustrate this advantage. Previous approaches either propose different criteria leading to computationally much more expensive schemes, or propose complex modifications without alleviating the above-mentioned shortcomings of the traditional approach.<>