This paper studies the design problem of causal, recursive and separable denominator (CRSD) 3-D state-space digital filters. A balanced approximation method and a synthesis method of optimal realizations of CRSD 3-D digital filters are proposed by introducing the concept of characteristic filters. Then, a simple equivalent relation between balanced realizations and optimal realizations of CRSD 3-D digital filters is revealed. Using this relation and the balanced approximation method, this paper proposes a spatial-domain direct design method of CRSD 3-D digital filters. This design method can perform approximation and synthesis of CRSD 3-D digital flters simultaneously. It results in stable state-space digital filters which are nearly optimal with respect to roundoff noise, and free of overflow oscillations. The efficiency of direct design method is shown by a numerical example.
|Number of pages||11|
|Journal||Transactions of the Institute of Electronics, Information and Communication Engineers, Section E (|
|Publication status||Published - 1987 Apr|
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