Abstract: A digital and a multiplication method are described, which lead to an efficient architecture for a hardware implementation of digital FIR and IIR filters into FPGAs. The multiplications of input sample data and delayed sample data with filter coefficients are performed by addressing look-up tables in which corresponding multiplication results are prestored. The size of the look-up tables is reduced by storing only those multiplication results which cannot be obtained by a shifting operation performed on the other pre-stored multiplication results, the input sample data, or the delayed sample data. Thereby, the size of the look-up tables can be compressed significantly such that an implementation of large digital filters into FPGAs is possible.

Abstract: A digital and a multiplication method are described, which lead to an efficient architecture for hardware implementation of digital FIR and IIR filters into FPGAs. The multiplications of input sample data and delayed sample data with filter coefficients are performed by addressing look-up tables in which corresponding multiplication results are prestored. The size of the look-up tables is reduced by storing only those multiplication results which cannot be obtained by a shifting operation performed on the other pre-stored multiplication results, the input sample data, or the delayed sample data. Thereby, the size of the look-up tables can be compressed significantly such that an implementation of large digital filters into FPGAs is possible.