The application of two-dimensional finite-precision IIR filters to enhanced NTSC coding

Konrad, Janusz; Radecki, J.; Dubois, Éric

doi:10.1109/76.510929

Cited by 3 publications

(2 citation statements)

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“…For notation simplicity, 2-D filters are considered throughout the rest of this paper. A majority of the existing applications of multidimensional filtering are in 2-D image and video processing problems (e.g., see [16]). Some three-dimensional (3-D) and four-dimensional (4-D) applications exist, such as computational tomography or time-space filtering.…”

Section: Design Of Iteratively Implemented Multi-dimensional Iirmentioning

confidence: 99%

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Optimization-based design and implementation of multidimensional zero-phase IIR filters

Gorinevsky

Boyd

2006

IEEE Trans. Circuits Syst. I

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Abstract-This paper considers multidimensional infinite-impulse response (IIR) filters that are iteratively implemented. The focus is on zero-phase filters with symmetric polynomials in the numerator and denominator of the multivariable transfer function. A rigorous optimization-based design of the filter is considered. Transfer function magnitude specifications, convergence speed requirements for the iterative implementation, and spatial decay of the filter impulse response (which defines the boundary condition influence in the spatial domain of the filtered signal) are all formulated as optimization constraints. When the denominator of the zero-phase IIR filter is strictly positive, these frequency domain specifications can be cast as a linear program and then efficiently solved. The method is illustrated with two two-dimensional IIR filter design examples.

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Section: Design Of Iteratively Implemented Multi-dimensional Iirmentioning

confidence: 99%

“…As discussed above, and are defined up to a scaling factor, which can be always chosen such that for . The design constraints (15), (16), can be multiplied through by real positive . By substituting (19), this yields constraints linear in the design parameter vectors and at each frequency.…”

Section: One-dimensional Noncausal Iir Filtersmentioning

confidence: 99%