Fault tolerant complex FIR filter architectures using a redundant MRRNS

This paper discusses a fault-tolerant procedure for computing with complex signals based on the modulus replication residue number system (MRRNS). Using the MRRNS mapping technique, we are able to compute over identical channels using modular arithmetic. We discuss an extension to the complex MRRNS which allows the detection and correction of faults in the mapped channels. The technique provides redundancy by adding channels to the existing parallel structure. The paper discusses the overall fault tolerant technique and provides an application example of a complex adaptive filter for a wireless LAN system.