Residue Number System Arithmetic Aided Frequency-Hopping Pattern Design in Coded OFDMA

In this paper, we propose an RNS arithmetic based FH pattern design approach that is well suited and easy to implement for practical OFDMA systems. The proposed RNS aided FH scheme not only guarantees orthogonality among intra-cell users but also randomizes inter-cell interference. We present detailed construction procedures and performance analysis for both independent and cluster hopping scenarios. We also demonstrate the gains due to frequency diversity and intercell interference diversity on the system bit error rate (BER) performance via simulations. The proposed scheme offers BER performance gain that is consistent across all cells unlike other FH pattern design schemes such as the Latin Squares (LS) based FH pattern design, where wide performance variations are observed across cells.