Journal ArticleDOI
Synthesis of 2-D separable-denominator digital filters with low sensitivity
TLDR
In this paper, two techniques suitable for 2D separable-denominator digital filters are developed for synthesizing the filter structure with low sensitivity, one free from 12 scaling constraints on the state variables, and the other under the scaling constraints.Abstract:
This paper treats the coefficient sensitivity of two-dimensional (2-D) separable-denominator digital filters using the Roesser local state-space model. Two techniques suitable for 2-D separable-denominator digital filters are developed for synthesizing the filter structure with low sensitivity, one free from 12 scaling constraints on the state variables, and the other under the scaling constraints. In the paper, it is clarified that the filter structures with low sensitivity can be easily derived from the balanced realization. Finally, an example is given to illustrate the utility of the proposed techniques.read more
Citations
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Journal ArticleDOI
Analysis and minimization of L/sub 2/-sensitivity for linear systems and two-dimensional state-space filters using general controllability and observability Gramians
TL;DR: In this article, a novel expression for the evaluation of L/sub 2/-sensitivity is developed for the cases of linear discrete-time systems, linear continuous-time system, and two-dimensional (2-D) state-space digital filters.
Journal ArticleDOI
An analytical approach for the synthesis of two-dimensional state-space filter structures with minimum weighted sensitivity
TL;DR: In this article, the problem of synthesizing the finite-word-length (FWL) two-dimensional (2-D) state-space filter structures with minimum weighted sensitivity was considered.
Journal ArticleDOI
L/sub 2/-sensitivity minimization of one- and two-dimensional state-space digital filters subject to L/sub 2/-scaling constraints
T. Hinamoto,K. Iwata,Wu-Sheng Lu +2 more
TL;DR: This paper investigates the problem of minimizing an L/sub 2/-sensitivity measure subject to L/ sub 2/-norm dynamic-range scaling constraints for one-dimensional (1-D) as well as a class of two-dimensional state-space digital filters, where the 2-D digital filters are described by a transposed structure of the Fornasini-Marchesini second local state- space model.
Journal ArticleDOI
L/sub 2/-sensitivity analysis and minimization of 2-D separable-denominator state-space digital filters
T. Hinamoto,Y. Sugie +1 more
TL;DR: An iterative procedure for synthesizing the optimal filter structures that minimize the L/sub 2/-sensitivity is presented and a numerical example is given to illustrate the utility of the proposed technique.
Journal ArticleDOI
Minimization of Frequency-Weighted $l_{2}$ -Sensitivity Subject to $l_{2}$ -Scaling Constraints for Two-Dimensional State-Space Digital Filters
TL;DR: It is shown that the Fornasini-Marchesini second model can be imbedded in the Roesser model and solved by applying an efficient quasi-Newton algorithm to solve the constrained optimization problem encountered.
References
More filters
Journal ArticleDOI
Synthesis of minimum roundoff noise fixed point digital filters
C. Mullis,R. Roberts +1 more
TL;DR: In this paper, an external specification of a digital filter is investigated via the internal structure of the filter using a state variable formulation, and conditions for minimizing this output noise are established and realizations which meet these conditions are constructed.
Journal ArticleDOI
Design of sensitivity and round-off noise optimal state-space discrete systems
TL;DR: In this paper, a previously defined sensitivity measure for state-space realizations is used, and conditions for minimizing the sensitivity under an 1, dynamic range constraint are established and an explicit method for obtaining this minimum is given.
Journal ArticleDOI
Synthesis of 2-D separable denominator digital filters with minimum roundoff noise and no overflow oscillations
Masayuki Kawamata,Tatsuo Higuchi +1 more
TL;DR: In this article, a new expression of the variance of roundoff noise in 2D separable denominator digital filters described by Roesser's local state-space model is presented, where the covariance matrices and noise matrices are obtained as the solutions of Liapunov equations.
Journal ArticleDOI
Synthesis of 2-D state-space fixed-point digital-filter structures with minimum roundoff noise
Wu-Sheng Lu,Andreas Antoniou +1 more
TL;DR: In this paper, a general synthesis procedure is developed which leads to an optimal local state-space 2D digital-filter realization that minimizes the output-noise power due to roundoff subject to a scaling condition on the state variables.
Journal ArticleDOI
Realizations of a state-space model from two-dimensional input-output map
TL;DR: In this paper, the problem of matching an infinite sequence of constant parameters which is equivalent to the input-output map and the model is used for the matching is formulated as the one of matching, and the existence conditions and the uniqueness of realizations are examined.