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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Main Authors: Zainab Noori Ghanim, Buthaina Mosa Omran, Malathe Salah Al-Deen
Format: Article
Language:English
Published: University of Baghdad 2011-08-01
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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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