On 2-variable reactance functions for 2-dimensional recursive filter design

Abstract
The use of 2-variable reactance functions for designing stable 2-dimensional recursive filters is critically examined. The investigation shows that although the stability of the resulting filters is ensured, such functions do not preserve the amplitude characteristics of the 1-dimensional filter prototype over the 2-dimensional digital domain. A special choice of reactance functions that yields best design results is discussed.

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