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Direction set based Algorithms for adaptive least squares problems improvements and innovations.

The main objective of this research is to provide a mathematically tractable solutions to the adaptive filtering problem by formulating the problem as an adaptive least squares problem. This approach follows the work of Chen (1998) in his study of direction-set based CDS) adaptive filtering algorith...

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Main Author: Ahmad, Noor Atinah
Format: Monograph
Published: Universiti Sains Malaysia 2008
Subjects:
QA1 Mathematics (General)
Online Access:http://eprints.usm.my/31814/
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spelling my.usm.eprints.31814 http://eprints.usm.my/31814/ Direction set based Algorithms for adaptive least squares problems improvements and innovations. Ahmad, Noor Atinah QA1 Mathematics (General) The main objective of this research is to provide a mathematically tractable solutions to the adaptive filtering problem by formulating the problem as an adaptive least squares problem. This approach follows the work of Chen (1998) in his study of direction-set based CDS) adaptive filtering algorithm. Through the said formulation, we relate the DS algorithm to a class of projection method. Objektif utama penyelidikan ini ialah untuk menyediakan penyelesaian matematik yang mudah runut kepada masalah penurasan adaptif dengan memfonnulasikan masalah tersebut sebagai masalah kuasa dua terkecil adaptif. Pendekatan ini rnengikut hasil kerja oleh Chen (1998) dalam kajian beliau tentang algoritma penurasan adaptif berasaskan 'direction-set' (DS). Melalui fornulasi tersebut, kami menghubungkaitkan algoritma DS kepada satu kelas kaedah unjuran. Secara khususnya, versi rnudah aigoritma itu, iaitu algoritma 'Euclidean direction search' (EDS) ditunjukkan mempunyai hubungkait dengan satu kelas kaedah berlelaran yang dipanggil kaedah 'relaxation'. Penernuan ini rnembolehkan kami menambahbaik algoritma EDS kepada 'accelerated EDS' eli mana satu parameter pemecutan diperkenalkan untuk rnengoptirnumkan saiz langkah sernasa setiap pencarian garis. Universiti Sains Malaysia 2008 Monograph NonPeerReviewed Ahmad, Noor Atinah (2008) Direction set based Algorithms for adaptive least squares problems improvements and innovations. Project Report. Universiti Sains Malaysia. (Submitted)
institution Universiti Sains Malaysia
building Hamzah Sendut Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Sains Malaysia
content_source USM Institutional Repository
url_provider http://eprints.usm.my/
topic QA1 Mathematics (General)
spellingShingle QA1 Mathematics (General)
Ahmad, Noor Atinah
Direction set based Algorithms for adaptive least squares problems improvements and innovations.
description The main objective of this research is to provide a mathematically tractable solutions to the adaptive filtering problem by formulating the problem as an adaptive least squares problem. This approach follows the work of Chen (1998) in his study of direction-set based CDS) adaptive filtering algorithm. Through the said formulation, we relate the DS algorithm to a class of projection method. Objektif utama penyelidikan ini ialah untuk menyediakan penyelesaian matematik yang mudah runut kepada masalah penurasan adaptif dengan memfonnulasikan masalah tersebut sebagai masalah kuasa dua terkecil adaptif. Pendekatan ini rnengikut hasil kerja oleh Chen (1998) dalam kajian beliau tentang algoritma penurasan adaptif berasaskan 'direction-set' (DS). Melalui fornulasi tersebut, kami menghubungkaitkan algoritma DS kepada satu kelas kaedah unjuran. Secara khususnya, versi rnudah aigoritma itu, iaitu algoritma 'Euclidean direction search' (EDS) ditunjukkan mempunyai hubungkait dengan satu kelas kaedah berlelaran yang dipanggil kaedah 'relaxation'. Penernuan ini rnembolehkan kami menambahbaik algoritma EDS kepada 'accelerated EDS' eli mana satu parameter pemecutan diperkenalkan untuk rnengoptirnumkan saiz langkah sernasa setiap pencarian garis.
format Monograph
author Ahmad, Noor Atinah
author_facet Ahmad, Noor Atinah
author_sort Ahmad, Noor Atinah
title Direction set based Algorithms for adaptive least squares problems improvements and innovations.
title_short Direction set based Algorithms for adaptive least squares problems improvements and innovations.
title_full Direction set based Algorithms for adaptive least squares problems improvements and innovations.
title_fullStr Direction set based Algorithms for adaptive least squares problems improvements and innovations.
title_full_unstemmed Direction set based Algorithms for adaptive least squares problems improvements and innovations.
title_sort direction set based algorithms for adaptive least squares problems improvements and innovations.
publisher Universiti Sains Malaysia
publishDate 2008
url http://eprints.usm.my/31814/
_version_ 1643707487764873216
score 13.211869

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