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Two-Dimensional Digital Filters with Variable Magnitude Characteristics Obtained from a 1-D Monotonic Response
Journal Title Journal of Computers
Journal Abbreviation jcp
Publisher Group Academy Publisher
Website http://ojs.academypublisher.com
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Title Two-Dimensional Digital Filters with Variable Magnitude Characteristics Obtained from a 1-D Monotonic Response
Authors Ramachandran, Ravi P.; Gargour, Christian S.; Ramachandran, Venkat
Abstract A method for the generation of discrete-domain 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.
Publisher ACADEMY PUBLISHER
Date 2007-09-01
Source Journal of Computers Vol 2, No 7 (2007)
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