A new method for partitioning a high order all-pole filter into an interconnection of subsystems is described. It was found that conventional all-cascade and all-parallel implementations were unsuitable and the theory of filter implementations is enhanced by appealing to polynomial theory. This theory is presented, prefaced by a description of the context in which the work was done, and followed by some examples. It is shown that, for high order models, the filter coefficients exhibit far less variation between maximum and minimum absolute values, making them more practical to implement.
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