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McClellan transformations for two-dimensional digital filtering-Part I: Design

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TLDR
In this article, the design of two-dimensional linear-phase FIR digital filters by transformations of one-dimensional (l-D) filters was discussed, using a technique first presented by McClellan.
Abstract
This paper discusses the design of two-dimensional (2-D) linear-phase FIR digital filters by transformations of one-demensional (l-D) filters, using a technique first presented by McClellan. His original transformations are generalized and several algorithms are presented for the design of the generalized transformations. Examples are included to demonstrate, the versatility of the design method.

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Citations
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Journal ArticleDOI

Characterization of visually similar diffuse diseases from B-scan liver images using nonseparable wavelet transform

TL;DR: In this paper, a new approach for texture characterization, based on nonseparable wavelet decomposition, and its application for the discrimination of visually similar diffuse diseases of liver was described.
Journal ArticleDOI

A comparison of algorithms for minimax design of two-dimensional linear phase FIR digital filters

TL;DR: Two iterative design techniques using multiple-exchange ascent algorithms, known to be much faster than the linear programming techniques, are developed and empirical efficiency comparisons are presented.
Journal ArticleDOI

An analytical least square solution to the design problem of two-dimensional FIR filters with quadrantally symmetric or antisymmetric frequency response

TL;DR: In this article, a closed-form least-squares solution to the design problem of two-dimensional real zero-phase finite-impulse-response (FIR) filters with quadrantally symmetric or antisymmetric frequency response is obtained.
Journal ArticleDOI

Quadrantal symmetry associated with two-dimensional digital transfer functions

TL;DR: In this article, the class of two-dimensional (2D) digital transfer functions which possess quadrantal symmetry in their frequency responses is derived and application of this class in the design of 2-D recursive digital filters is indicated.
Journal ArticleDOI

McClellan transformations for two-dimensional digital filtering-Part II: Implementation

TL;DR: A family of 2-D structures is presented for implementing2-D FIR digital filters designed by means of a transformation of a 1-D design that are computationally efficient for filters up to degree 50 x 50 and straightforward to program or build in hardware.
References
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Journal ArticleDOI

Digital reconstruction of multidimensional signals from their projections

TL;DR: A tutorial review of the reconstruction problem and some of the algorithms which have been proposed for its solution, and a number of new algorithms that appear to have some advantages over previous algorithms are presented.
Journal ArticleDOI

The importance of phase in image processing filters

TL;DR: It is demonstrated that phase accuracy is extremely important in image processing filters and the hope is that more work will be done on the development of filter design techniques which use phase as well as magnitude specifications.
Journal ArticleDOI

Two-dimensional digital filtering

TL;DR: The problems of designing and implementing LSI systems for the processing of 2-D digital data, such as images or geophone arrays, are reviewed and discussed.
Journal ArticleDOI

Two-dimensional windows

TL;DR: It is shown that good two-dimensional windows can be obtained by rotating good one- dimensional windows, that is, if w(x) is a good symmetrical one-dimensional window, then w sub 2(x,y) = w(square root of (x squared + y squared)) is aGood circularly symmetrical two- dimensional window.
Journal ArticleDOI

Design techniques for two-dimensional digital filters

TL;DR: The theory for designing finite-duration impulse response (FIR) digital filters can readily be extended to two or more dimensions using linear programming techniques, and several of the issues involved in designing two-dimensional digital filters are discussed in this article.
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