A Simplified Hard Decision Feedback Equalizer for Single Carrier Modulation with Cyclic Prefix

This paper is concerned with a simplified hard decision feedback equalizer (S-HDFE) for single carrier modulation with cyclic prefix. In this paper, we focus on the coded system in which the feedback symbols are reproduced from hard decisions of channel decoding results. Cholesky decomposition is the key technique for simplifying the feedback filter calculation of S-HDFE. With the same matched filter bound (MFB), the maximum number of the feedback filter taps in S-HDFE is smaller than that in the existing hard decision feedback equalizer with noise prediction (DFE-NP). Therefore, the computational complexity of S-HDFE is lower than DFE-NP with the same MFB. Furthermore, the simulation result shows that if the feedback filter tap number is the same for both equalizers, the BER performance of S-HDFE is better than DFE-NP.