Multidimensional reflected wave digital filters

Abstract

A method for designing multidimensional wave digital filters is presented in terms of nonreciprocal circulators, the principle of reflected filters, and the theory of one-dimensional general parameter filters, with complex attenuation poles. Both attenuation and group delay responses are considered in the approximation in order to derive its wave digital realization by linear transformation. An example of designing a two-dimensional reference filter is given, and its two-dimensional wave digital realization is derived as well.<>