A novel approach to the exact design of LDI Jaumann digital filters

A method for exactly designing and synthesizing lossless discrete-integrator (LDI) Jaumann digital filters is presented. In this method, the entire LDI Jaumann digital filter synthesis is performed directly in the discrete-time z-domain, i.e. without any recourse to the concept of a corresponding s-domain analog prototype reference filter or its transfer function. This results in the development of two LDI Jaumann digital filter structures, one of which is completely new (using a leapfrog configuration) while the other has been obtained elsewhere by using the (indirect) bilinear-LDI design method. These LDI Jaumann digital filters exhibit exceptionally low sensitivity to multiplier coefficient quantization errors, have good dynamic-range properties, and require a minimal amount of digital hardware for their implementations. Most importantly, they lend themselves to fast two-cycle parallel processing speeds which are virtually independent of the order of the z-domain transfer function to be realized