IMPLEMENTATION OF ROOT FINDING ALGORITHM OF MINIMUM PHASE FILTER USING VHDL
Root-finding is an oldest classical problem, which is still an important research topic, due to its impact on computational algebra and geometry. In communications systems, when the impulse response of the channel is minimum phase the state of equalization algorithm is reduced and the spectral effi...
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Format: | Article |
Language: | English |
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University of Baghdad
2011-08-01
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Series: | Journal of Engineering |
Online Access: | https://www.joe.uobaghdad.edu.iq/index.php/main/article/view/2978 |
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author | Zainab Noori Ghanim Buthaina Mosa Omran Malathe Salah Al-Deen |
author_facet | Zainab Noori Ghanim Buthaina Mosa Omran Malathe Salah Al-Deen |
author_sort | Zainab Noori Ghanim |
collection | DOAJ |
description |
Root-finding is an oldest classical problem, which is still an important research topic, due to its impact on computational algebra and geometry. In communications systems, when the impulse response of the channel is minimum phase the state of equalization algorithm is reduced and the spectral efficiency will improved. To make the channel impulse response minimum phase the prefilter which is called minimum phase filter is used, the adaptation of the minimum phase filter need root finding algorithm. In this paper, the VHDL implementation of the root finding algorithm introduced by Clark and Hau is introduced.
VHDL program is used in the work, to find the roots of two channels and make them minimum phase, the obtained output results are similar in accuracy to the past work results, which is built by using MATLAB program. Using VHDL is necessary in FPGAs for building hardware of the root finding algorithm in lower cost and time. MATLAB program is used only for displaying the input and output discrete signals of tested channels.
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first_indexed | 2024-03-08T08:40:37Z |
format | Article |
id | doaj.art-c0013b06ae3e4b2f88a35f709cb52d59 |
institution | Directory Open Access Journal |
issn | 1726-4073 2520-3339 |
language | English |
last_indexed | 2024-03-08T08:40:37Z |
publishDate | 2011-08-01 |
publisher | University of Baghdad |
record_format | Article |
series | Journal of Engineering |
spelling | doaj.art-c0013b06ae3e4b2f88a35f709cb52d592024-02-01T19:48:46ZengUniversity of BaghdadJournal of Engineering1726-40732520-33392011-08-01170410.31026/j.eng.2011.04.23IMPLEMENTATION OF ROOT FINDING ALGORITHM OF MINIMUM PHASE FILTER USING VHDLZainab Noori GhanimButhaina Mosa OmranMalathe Salah Al-Deen Root-finding is an oldest classical problem, which is still an important research topic, due to its impact on computational algebra and geometry. In communications systems, when the impulse response of the channel is minimum phase the state of equalization algorithm is reduced and the spectral efficiency will improved. To make the channel impulse response minimum phase the prefilter which is called minimum phase filter is used, the adaptation of the minimum phase filter need root finding algorithm. In this paper, the VHDL implementation of the root finding algorithm introduced by Clark and Hau is introduced. VHDL program is used in the work, to find the roots of two channels and make them minimum phase, the obtained output results are similar in accuracy to the past work results, which is built by using MATLAB program. Using VHDL is necessary in FPGAs for building hardware of the root finding algorithm in lower cost and time. MATLAB program is used only for displaying the input and output discrete signals of tested channels. https://www.joe.uobaghdad.edu.iq/index.php/main/article/view/2978 |
spellingShingle | Zainab Noori Ghanim Buthaina Mosa Omran Malathe Salah Al-Deen IMPLEMENTATION OF ROOT FINDING ALGORITHM OF MINIMUM PHASE FILTER USING VHDL Journal of Engineering |
title | IMPLEMENTATION OF ROOT FINDING ALGORITHM OF MINIMUM PHASE FILTER USING VHDL |
title_full | IMPLEMENTATION OF ROOT FINDING ALGORITHM OF MINIMUM PHASE FILTER USING VHDL |
title_fullStr | IMPLEMENTATION OF ROOT FINDING ALGORITHM OF MINIMUM PHASE FILTER USING VHDL |
title_full_unstemmed | IMPLEMENTATION OF ROOT FINDING ALGORITHM OF MINIMUM PHASE FILTER USING VHDL |
title_short | IMPLEMENTATION OF ROOT FINDING ALGORITHM OF MINIMUM PHASE FILTER USING VHDL |
title_sort | implementation of root finding algorithm of minimum phase filter using vhdl |
url | https://www.joe.uobaghdad.edu.iq/index.php/main/article/view/2978 |
work_keys_str_mv | AT zainabnoorighanim implementationofrootfindingalgorithmofminimumphasefilterusingvhdl AT buthainamosaomran implementationofrootfindingalgorithmofminimumphasefilterusingvhdl AT malathesalahaldeen implementationofrootfindingalgorithmofminimumphasefilterusingvhdl |