Blind equalization of OFDM systems based an optimal bounding ellipsoid under different channels

In this paper, we propose a frequency recursive blind equalization algorithm of data in orthogonal frequency division multiplexing (OFDM) system using a cyclic prefix. The proposed algorithm is based on a Set Membership identification methods. More precisely, it is based an Optimal Bounding Ellipsoid (OBE) algorithm. In this document, we consider the presence of bounded noise, of a single Input Single Output (SISO) fast fading channels such as Rayleigh and Rice channels. The numerical simulation shows that the proposed algorithm has good performance under different channels.