Design of stable 3-dimensional recursive digital filters

In this paper we show that any positive definite matrix V with measurable entries can be written as V=U@LU^*, where the matrix @L is diagonal, the matrix U is unitary, and the entries of U and @L are measurable functions (U^* denotes the transpose ...

Gaussian smoothing filters and Gaussian derivative filters can be estimated by recursive IIR filters, as shown by Deriche [3, 4]. The design of those filters does, however, not enforce the important property that derivative filters should have an ...

This paper deals with the problem of two-dimensional (2-D) recursive doubly complementary (DC) digital filter design. We present a structure of 2-D recursive DC filters by using 2-D non-symmetric half-plane (NSHP) digital all-pass filters (DAFs). The ...