Abstract
A simple easy to use and very flexible approach is presented for the design of 2-D fir digital filters. It is illustrated by two examples, a rectangular filter and a diamond filter. Appropriate selection of the weighting function which is used in the weighted least squares method can yield very diverse characteristics, like the possibility to meet specifications on both frequency response and step response.
Ré sumé
Une mé thode simple, facile à utiliser et très souple est présentée pour le calcul des coefficients des filtres numé riques à réponse impulsionnelle finie rif à deux dimensions. Elle est illustrée par le calcul d’un filtre rectangulaire et d’un filtre en losange. En jouant sur la fonction de pondération qui intervient dans la mé thode des moindres carrés pondérés, des caractéristiques très diverses peuvent être obtenues, comme la vé rification de contraintes à la fois sur la réponse en fréquence et la ré ponse à l’échelon unité.
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References
Biasolo (A.)et al. Computer aided design of md fir filters for video applications.IEEE Trans. on Consumer Electronics (Aug. 1989), pp. 290–295.
Ouvrard (V.), Siohan (P.). Design of two-dimensional video filters with spatial constraints.Proceedings of EUSIPCO-92, Ed. North-Holland, Brussels (Aug. 1992), pp. 1001–1004.
Le Gall (D.). mpeg : a video compression standard for multimedia applications.Comm. ACM (April 1991),34, n° 4.
Rajaravivarma (R.), Rajan (P.). Least squares error optimal 2-D fir filter design for nonsymmetric and symmetric specifications in discrete frequency domain.IEEE Trans. CAS-II (Dec. 1992),39, n° 12, pp. 857–862.
Marchesi (M. L.), Witzgall (P.). Improved weighted least squares minimax design of fir filters specified in frequency and time domain.IEEE Trans. CAS-II (May 1993),40, n° 5, pp. 345–347.
Gislason (E.)et al. Three different criteria for the design of 2-D zero phase fir digital filters.IEEE Trans. Signal Processing (Oct. 1993),41, n° 10, pp. 3070–3074.
Siohan (P.). Contribution à l’é tude des mé thodes de conception des filtres numériques rif : application au traitement d’images.Thèse de doctorat de l’ENST, Paris (1er mars 1989).
Algazi (V. R.), Minsoo (S. U. K.), Chong-Suck (R. I. M.). Design of almost minimax fir filters, in one and two dimensions by wls techniques.IEEE Trans. CAS (June 1986),33, n° 6, pp. 590–596.
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Gauthier, C., Paulin, J. & Bellanger, M. Simplified weighted least squares design of 2-D FIR digital filters. Ann. Télécommun. 49, 499–504 (1994). https://doi.org/10.1007/BF02999441
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DOI: https://doi.org/10.1007/BF02999441
Key words
- Digital filter
- Finite impulse response filter
- Filter synthesis
- Least squares method
- Weighting
- Two dimensional filtering