The PLSI Method of Stabilizing Two-Dimensional Nonsymmetric Half-Plane Recursive Digital Filters
Two-dimensional (2D) recursive digital filters find applications in image processing as in medical X-ray processing. Nonsymmetric half-plane (NSHP) filters have definitely positive magnitude characteristics as opposed to quarter-plane (QP) filters. In this paper, we provide methods for stabilizing t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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2003
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| Online Access: | http://shdl.mmu.edu.my/2552/ http://shdl.mmu.edu.my/2552/1/1815.pdf |
| _version_ | 1848790085988777984 |
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| author | Gangatharan, N. Reddy, P. S. |
| author_facet | Gangatharan, N. Reddy, P. S. |
| author_sort | Gangatharan, N. |
| building | MMU Institutional Repository |
| collection | Online Access |
| description | Two-dimensional (2D) recursive digital filters find applications in image processing as in medical X-ray processing. Nonsymmetric half-plane (NSHP) filters have definitely positive magnitude characteristics as opposed to quarter-plane (QP) filters. In this paper, we provide methods for stabilizing the given 2D NSHP polynomial by the planar least squares inverse (PLSI) method. We have proved in this paper that if the given 2D unstable NSHP polynomial and its PLSI are of the same degree, the PLSI polynomial is always stable, irrespective of whether the coefficients of the given polynomial have relationship among its coefficients or not. Examples are given for 2D first-order and second-order cases to prove our results. The generalization is done for the Nth order polynomial. |
| first_indexed | 2025-11-14T18:07:01Z |
| format | Article |
| id | mmu-2552 |
| institution | Multimedia University |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T18:07:01Z |
| publishDate | 2003 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | mmu-25522014-02-06T02:46:10Z http://shdl.mmu.edu.my/2552/ The PLSI Method of Stabilizing Two-Dimensional Nonsymmetric Half-Plane Recursive Digital Filters Gangatharan, N. Reddy, P. S. TA Engineering (General). Civil engineering (General) Two-dimensional (2D) recursive digital filters find applications in image processing as in medical X-ray processing. Nonsymmetric half-plane (NSHP) filters have definitely positive magnitude characteristics as opposed to quarter-plane (QP) filters. In this paper, we provide methods for stabilizing the given 2D NSHP polynomial by the planar least squares inverse (PLSI) method. We have proved in this paper that if the given 2D unstable NSHP polynomial and its PLSI are of the same degree, the PLSI polynomial is always stable, irrespective of whether the coefficients of the given polynomial have relationship among its coefficients or not. Examples are given for 2D first-order and second-order cases to prove our results. The generalization is done for the Nth order polynomial. 2003-08 Article NonPeerReviewed text en http://shdl.mmu.edu.my/2552/1/1815.pdf Gangatharan, N. and Reddy, P. S. (2003) The PLSI Method of Stabilizing Two-Dimensional Nonsymmetric Half-Plane Recursive Digital Filters. EURASIP Journal on Advances in Signal Processing, 2003 (9). pp. 914-921. ISSN 1687-6172 http://dx.doi.org/10.1155/S1110865703303099 doi:10.1155/S1110865703303099 doi:10.1155/S1110865703303099 |
| spellingShingle | TA Engineering (General). Civil engineering (General) Gangatharan, N. Reddy, P. S. The PLSI Method of Stabilizing Two-Dimensional Nonsymmetric Half-Plane Recursive Digital Filters |
| title | The PLSI Method of Stabilizing Two-Dimensional Nonsymmetric Half-Plane Recursive Digital Filters |
| title_full | The PLSI Method of Stabilizing Two-Dimensional Nonsymmetric Half-Plane Recursive Digital Filters |
| title_fullStr | The PLSI Method of Stabilizing Two-Dimensional Nonsymmetric Half-Plane Recursive Digital Filters |
| title_full_unstemmed | The PLSI Method of Stabilizing Two-Dimensional Nonsymmetric Half-Plane Recursive Digital Filters |
| title_short | The PLSI Method of Stabilizing Two-Dimensional Nonsymmetric Half-Plane Recursive Digital Filters |
| title_sort | plsi method of stabilizing two-dimensional nonsymmetric half-plane recursive digital filters |
| topic | TA Engineering (General). Civil engineering (General) |
| url | http://shdl.mmu.edu.my/2552/ http://shdl.mmu.edu.my/2552/ http://shdl.mmu.edu.my/2552/ http://shdl.mmu.edu.my/2552/1/1815.pdf |