Abstract
A new stable second-order digital filter is presented. This filter section enjoys all the stability properties of wave digital filters, including forced-response stability and stability under looped conditions. Conventional stable cascade and parallel realizations of digital filters using logarithmic arithmetic can freely be made by using this second-order section. This substantial advantage is achieved with only a slight extra cost. The simulation results demonstrate that the proposed second-order digital filter implemented with logarithmic arithmetic is always stable under all conditions of operation, as a simple strategy is taken into account in hardware realization.
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