On the synthesis of IIR digital filters derived from single channel AR lattice network

The synthesis of two families of ARMA lattice filters-injected numerator filters and the tapped numerator filters-are presented. For both families of filters, the denominator of the z-transform transfer function is synthesized using the single channel AR lattice. The transfer function´s numerator of the injected numerator filter is realized by weighting and injecting the input signal into N + 1 appropriate points of the AR lattice where N is the order of the filter. For the tapped numerator filter, the transfer function´s numerator is realized by a weighted sum of the signals tapped from N + 1 appropriate points of the AR lattice. The lattice structure introduced by Gray and Markel is a special case of the tapped numerator design. The injected numerator filters are observed to possess certain overflow properties superior to the tapped numerator filters.