document: Structural interpretation of matched pole-zero discretisation Deals with matched pole-zero discretisation , which has been used in practice for hand calculations in the digital redesign of continuous-time systems but available only in the transfer-function form . Since this form is inconvenient for characterising the time-domain properties of sampled-data loops and for computerising the design of such systems , a state-space formulation is developed . Under the new interpretation , the matched pole-zero model is shown to be structurally identical to a hold-equivalent discrete-time model , where the generalised hold takes integral part , thus unifying the most widely used discretisation approaches . An algorithm for obtaining the generalised hold function is presented . The hold-equivalent structure of the matched pole-zero model clarifies several discrete-time system properties , such as controllability and observability , and their preservation or loss with a matched pole-zero discretisation . With the proposed formulation , the matched pole-zero , hold-equivalent , and mapping models can now all be constructed with a single schematic model
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