An efficient implementation of the Memory Improved Proportionate Affine Projection Algorithm

•Development of fast Memory Improved Proportinate Affine Projection Algorithms.•An efficient and exact implementation is proposed.•The effectiveness of the method is illustrated in the context of channel estimation of optical fiber links.

In this paper, an efficient implementation of the Memory Improved Proportionate Affine Projection Algorithm (MIPAPA) is developed, for the adaptive identification of linear in parameters’ systems. The proposed algorithm offers an exact implementation of the MIPAPA scheme, while maintaining the computational burden at an affordable level. The performance of the proposed approach is illustrated by means of computer simulation, in the context of adaptive identification of sparse systems. Moreover, it is shown that the proposed algorithm can be applied for the efficient estimation of the communication channel in the transmission over optical fiber links using intensity modulated direct detection ON/OFF signaling.