Stability Analysis And PLSI Based Design Of Stable And Optimal Two-Dimensional Recursive Digital Filters

Designing stable two-dimensional recursive digital filters is very important in the field of Digital Signal Processing. The general method of designing a stable filter is to design the filter first without worrying about the stability and then stabilize it without altering the magnitude spectrum if...

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Main Author: Gnanamuthu, Ezra Morris
Format: Thesis
Published: 2007
Subjects:
Online Access:http://shdl.mmu.edu.my/1286/
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author Gnanamuthu, Ezra Morris
author_facet Gnanamuthu, Ezra Morris
author_sort Gnanamuthu, Ezra Morris
building MMU Institutional Repository
collection Online Access
description Designing stable two-dimensional recursive digital filters is very important in the field of Digital Signal Processing. The general method of designing a stable filter is to design the filter first without worrying about the stability and then stabilize it without altering the magnitude spectrum if the designed filter is found to be unstable. Based on the Shanks' conjecture that the planar least square inverse (PLSI) of the given arbitrary 2-D polynomial is stable, the unstable filter is stabilized by replacing the denominator polynomial of the filter by its double PLSI polynomial. Unfortunately the Shanks' conjecture has not been proved yet and there are many unresolved issues in stabilizing unstable filters using PLSI method.
first_indexed 2025-11-14T18:01:36Z
format Thesis
id mmu-1286
institution Multimedia University
institution_category Local University
last_indexed 2025-11-14T18:01:36Z
publishDate 2007
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spelling mmu-12862010-08-13T03:15:17Z http://shdl.mmu.edu.my/1286/ Stability Analysis And PLSI Based Design Of Stable And Optimal Two-Dimensional Recursive Digital Filters Gnanamuthu, Ezra Morris TK5101-6720 Telecommunication. Including telegraphy, telephone, radio, radar, television Designing stable two-dimensional recursive digital filters is very important in the field of Digital Signal Processing. The general method of designing a stable filter is to design the filter first without worrying about the stability and then stabilize it without altering the magnitude spectrum if the designed filter is found to be unstable. Based on the Shanks' conjecture that the planar least square inverse (PLSI) of the given arbitrary 2-D polynomial is stable, the unstable filter is stabilized by replacing the denominator polynomial of the filter by its double PLSI polynomial. Unfortunately the Shanks' conjecture has not been proved yet and there are many unresolved issues in stabilizing unstable filters using PLSI method. 2007-05 Thesis NonPeerReviewed Gnanamuthu, Ezra Morris (2007) Stability Analysis And PLSI Based Design Of Stable And Optimal Two-Dimensional Recursive Digital Filters. PhD thesis, Multimedia University. http://myto.perpun.net.my/metoalogin/logina.php
spellingShingle TK5101-6720 Telecommunication. Including telegraphy, telephone, radio, radar, television
Gnanamuthu, Ezra Morris
Stability Analysis And PLSI Based Design Of Stable And Optimal Two-Dimensional Recursive Digital Filters
title Stability Analysis And PLSI Based Design Of Stable And Optimal Two-Dimensional Recursive Digital Filters
title_full Stability Analysis And PLSI Based Design Of Stable And Optimal Two-Dimensional Recursive Digital Filters
title_fullStr Stability Analysis And PLSI Based Design Of Stable And Optimal Two-Dimensional Recursive Digital Filters
title_full_unstemmed Stability Analysis And PLSI Based Design Of Stable And Optimal Two-Dimensional Recursive Digital Filters
title_short Stability Analysis And PLSI Based Design Of Stable And Optimal Two-Dimensional Recursive Digital Filters
title_sort stability analysis and plsi based design of stable and optimal two-dimensional recursive digital filters
topic TK5101-6720 Telecommunication. Including telegraphy, telephone, radio, radar, television
url http://shdl.mmu.edu.my/1286/
http://shdl.mmu.edu.my/1286/