Two-dimensional orthogonal digital filters
type: Item
instance of: scholarly article
title: Two-dimensional orthogonal digital filters
zbMATH Open document ID: 0929.93027
author: Czesław Michalik
author: Włodzimierz Wolski
published in: Bulletin of the Polish Academy of Sciences. Technical Sciences
publication date: 2000-01-25T00:00:00Z
review text: The paper investigates 2-D digital orthogonal filters. The authors show that using a 2-D all-pass transformation of a 1-D digital filter realized with an orthogonal structure, one can obtain a 2-D orthogonal digital filter. The transfer function of a unit realizing the all-pass transformation can also be implemented as an orthogonal unit. The authors propose two different structures having their transfer functions of the all-pass type. Such structures can be used as replacements of delay units in a 1-D prototype to obtain 2-D filters. Two examples of designing 2-D digital low-pass filters are examined. The first example shows the use of the true rotation of the coordinate system in the complex frequency plane, while the second example uses a pseudo-rotation. In both examples, suitable 2-D frequency responses (amplitue responses) of the filters are illustrated with 3-D plots.
reviewed by: Neculai Curteanu
Mathematics Subject Classification ID: 93C62
Mathematics Subject Classification ID: 93E11
zbMATH DE Number: 1327267
zbMATH Keywords: 2-D digital orthogonal filters
zbMATH Keywords: 2-D all-pass transformation
zbMATH Keywords: transfer functions
zbMATH Keywords: digital low-pass filters
zbMATH Keywords: pseudo-rotation
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1327267