A single-channel ROM-based complex digital filter implementation in the quadratic residue number systems
R. Krishnan · 2003
The implementation of complex digital filters using the quadratic residue number system (QRNs) and modified quadratic residue number system (MQRNS) is considered. These QRNS/MQRNS-based filter architectures are memory-intensive because the lookup-table approach has been used in the filter implementation. If the required number of lookup tables is reduced to a reasonable extent, single-chip VLSI implementation of such architectures may become practically feasible. A dual-clock computational module has been proposed to reduce the number of memory requirements in the QRNS/MQRNS-based complex digital filters. A direct FIR (finite-impulse response) filter architecture has been implemented using the proposed computational module in the QRNS and MQRNS schemes.>