Abstract
A practical design and implementation approach for two- and three-dimensional digital filters with symmetrical magnitude response is presented. The proposed filters have not only good circularly or spherically symmetric magnitude response, but also nearly linear phase response as well as several desirable stability properties. The denominator of the corresponding filter transfer function is separable in each dimension, while the numerator can be obtained by a one-dimensional approximation and the generalized McClellan transformation. The filters can be implemented by using either conventional one-dimensional second-order digital filters or wave digital filters. Thus, they are especially suitable for real-time applications. When strict linearity of the phase response is required, a simple approach can be used for phase equalization.
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