A set-membership approach to blind channel equalization algorithm
Yue-ming Li · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2013
The constant modulus algorithm (CMA) has low computational complexity while presenting slow convergence and possible convergence to local minima, the CMA family of algorithms based on affine projection version (AP-CMA) alleviates the speed limitations of the CMA. However, the computational complexity has been a weak point in the implementation of AP-CMA. To reduce the computational complexity of the adaptive filtering algorithm, a new AP-CMA algorithm based on set membership (SM-AP-CMA) is proposed. The new algorithm combines a bounded error specification on the adaptive filter with the concept of data-reusing. Simulations confirmed that the convergence rate of the proposed algorithm is significantly faster; meanwhile, the excess mean square error can be maintained in a relatively low level and a substantial reduction in the number of updates when compared with its conventional counterpart.