Design and DSP-chip implementation of a novel bilinear-LDI digital Jaumann filter

The design and implementation, on a digital signal processing (DSP) chip, of a novel high-quality recursive digital filter is presented. The proposed digital filter is derived from an equally resistively terminated lossless Jaumann two-port network by using the bilinear-LDI (bilinear lossless discrete integrator) design technique. It has the important practical property that all the inductor-based states can be computed simultaneously and all the capacitor-based states can be computed simultaneously, thereby permitting a fast parallel-processing speed which is virtually independent of the order of the filter. This digital filter can be made minimal in the number of multipliers, requiring n multipliers for the realization of lowpass and bandpass filters, and n+1 multipliers for the realization of highpass and bandstop filters, where n is the order of the continuous-time prototype reference filter. It is shown that when implemented using modern DSP chips, such a filter exhibits very high-quality performance characteristics