Design of Two-Dimensional Digital Filters in the Spatial Domain

Tamal Bose; Mei Qin Chen

doi:10.1109/78.205758

Design of Two-Dimensional Digital Filters in the Spatial Domain

Tamal Bose, Mei Qin Chen

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

The design of two-dimensional (2-D) recursive digital filters in the spatial domain is investigated. Two algorithms are proposed for this purpose, namely, a modified version of the Newton-Raphson (MNR) method, and the well-known Broyden-Fletcher-Goldfarh-Shanno (BFGS) algorithm. Both of these methods are shown to outperform the popular Davidon-Fletcher-Powell (DFP) algorithm in terms of efficiency, when used for filter design. When the two are compared between themselves, it is seen that the MNR is more efficient than the BFGS for most cases except for very low-order filters, where the BFGS performs slightly better.

Original language	English (US)
Pages (from-to)	1464-1469
Number of pages	6
Journal	IEEE Transactions on Signal Processing
Volume	41
Issue number	3
DOIs	https://doi.org/10.1109/78.205758
State	Published - Mar 1993
Externally published	Yes

ASJC Scopus subject areas

Signal Processing
Electrical and Electronic Engineering

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abstract = "The design of two-dimensional (2-D) recursive digital filters in the spatial domain is investigated. Two algorithms are proposed for this purpose, namely, a modified version of the Newton-Raphson (MNR) method, and the well-known Broyden-Fletcher-Goldfarh-Shanno (BFGS) algorithm. Both of these methods are shown to outperform the popular Davidon-Fletcher-Powell (DFP) algorithm in terms of efficiency, when used for filter design. When the two are compared between themselves, it is seen that the MNR is more efficient than the BFGS for most cases except for very low-order filters, where the BFGS performs slightly better.",

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AB - The design of two-dimensional (2-D) recursive digital filters in the spatial domain is investigated. Two algorithms are proposed for this purpose, namely, a modified version of the Newton-Raphson (MNR) method, and the well-known Broyden-Fletcher-Goldfarh-Shanno (BFGS) algorithm. Both of these methods are shown to outperform the popular Davidon-Fletcher-Powell (DFP) algorithm in terms of efficiency, when used for filter design. When the two are compared between themselves, it is seen that the MNR is more efficient than the BFGS for most cases except for very low-order filters, where the BFGS performs slightly better.

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Design of Two-Dimensional Digital Filters in the Spatial Domain

Abstract

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