¹Department of Electrical and Computer Engineering, Concordia University, Montreal, QC, Canada, H3G 1M8
²Department of Electrical and Computer Engineering, École Technologie Supérieure, Montreal, QC, Canada, H3C 1K3
³Department of Electrical and Computer Engineering, Rowan University, Glassboro, New Jersey, U.S.A. 08028

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Abstract—A method for the generation of discretedomain two-dimensional (2-D) transfer functions possessing variable magnitude and contour characteristics is presented in this paper. The proposed method is based upon a configuration constituted by two 1-D filters in cascade and a feedback loop. Each of these 1-D filter is designed to have a monotonic magnitude frequency response. This is obtained by performing one or several integrations, either with respect to ω or ω2, of the denominator of a magnitude Butterworth low-pass frequency response and obtaining the corresponding modified transfer function. The variable characteristics in each domain are obtained by changing a multiplier either in the forward path or in the feedback path of the proposed general configuration. The use of a generalized bilinear transformation (GBT) on the transfer functions obtained by the above mentioned method permits the generation of a large number of different characteristics. A certain number of these characteristics is examined in some detail. Illustrative examples are provided.

Index Terms—2-D discrete filters, variable magnitude

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Cite: Venkat Ramachandran, Christian S.Gargour, Ravi P.Ramachandran, "Two-Dimensional Digital Filters with Variable Magnitude Characteristics Obtained from a 1-D Monotonic Response," Journal of Computers vol. 2, no. 7, pp. 32-39, 2007.