[1]杨汉生,等.基于正交多项式的自适应提升格式[J].南京理工大学学报(自然科学版),2009,(03):307-311.
 YANG Han-sheng,KONG Kun-peng,XU Lei,et al.Adaptive Lifting Scheme Based on Orthogonal Polynomials[J].Journal of Nanjing University of Science and Technology,2009,(03):307-311.
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基于正交多项式的自适应提升格式
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《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
期数:
2009年03期
页码:
307-311
栏目:
出版日期:
2009-06-30

文章信息/Info

Title:
Adaptive Lifting Scheme Based on Orthogonal Polynomials
作者:
杨汉生1 2 孔鲲鹏1 许 磊1 杨成梧2
1. 巢湖学院物理与电子科学系, 安徽巢湖238000; 2. 南京理工大学动力工程学院, 江苏南京210094
Author(s):
YANG Han-sheng12KONG Kun-peng1XU Lei1YANG Cheng-wu2
1.Department of Physics and Electronics,Chaohu College,Chaohu 238000,China;2.School of Power Engineering,NUST,Nanjing 210094,China
关键词:
提升格式 预测控制 自适应算法 正交多项式
Keywords:
lifting scheme predictive control adaptive algorithms orthogonal polynomials
分类号:
TN911
摘要:
为确定提升格式的预测系数及更新系数,该文以小波分解的细节信号的平方和为目标函数,采用一组正交多项式确定预测系数,使预测系数能够反映分析数据的特征。根据分析数据的相关性来确定最优预测系数和更新系数,使小波能够较好地适应信号特征的变化。理论和仿真结果表明:正交多项式的自适应提升格式的滤波性能明显优于一般拟合方法的提升格式以及传统小波db5,尤其在低信噪比的情况更为明显。
Abstract:
To determine the prediction and updated parameters of lifting scheme,this paper takes the sum of squared detail components as an objective function,and designs predictors based on orthogonal polynomial,so that the prediction parameter can represent the features of the given data.An optimal predictor and an optimal updater are chosen for the transforming sample according to the magnitude of the correlation factors,so the lifting scheme can fit the change of original signal better.The theory and simulation results demonstrate that the filtering performance of adaptive lifting scheme based on orthogonal polynomials is better than that based on general fitting method and traditional wavelet db5,especially with low signal-to-noise ratio.

参考文献/References:

[ 1] Swe ldensW. The lifting scheme: A new philosophy in biorthogonal w ave let constructions [ A ]. Proceed ings of SPIE onWavelet Applications in Signa l and Im age Processing III[ C]. San Diego, USA: SPIE, 1995. 68- 79.
[ 2] Daubechies I. Factor ing w avelet transform s into lifting steps[ J]. Journa l o f Fou rier Ana lys is and App lication, 1998, 4( 3) : 245- 267.
[ 3] Swe ldens W. The lifting schem e: A construction o f second g eneration w ave lets[ J]. SIAM JournalM athem atical Ana ly sis, 1997, 29( 2): 511- 546.
[ 4] H e ijm ans J M, Goutsias J. Nolinear m ultireso lution signal decomposition schem es[ J]. IEEE Transactions on Im age Proocessing 2000, 11( 9) : 1897- 1913.
[ 5] H attay J, Benazza-Benyah ia A, Pesquet J. Adaptive lifting for m ulticomponent im age cod ing through quadtree partitioning [ A ]. 2005 IEEE Inte rnational Con fe rence on Acoustics, Speech, and S igna l Processing( ICASSP. 05) [ C] . Ph iladelph ia, Pennsy lvan ia, USA: IEEE, 2005. 213- 216.
[ 6] So le J, Salem bier P. Adap tive d iscrete g eneralized lifting for lossless com press ion[ A]. 2004 IEEE Interna tiona l Conference on Acoustics, Speech, and S ignal Processing ( ICASSP. 04 ) [ C ]. Montrea,l Quebec, Canada: IEEE, 2004. 57- 60.
[ 7] 浦利, 刘玉树, 金伟其. 基于非均衡系数小波变换的插值算法研究[ J]. 南京理工大学学报(自然科学版), 2007, 31( 3): 323- 326.
[ 8] Abhayara tneG C K, Monro D M. Embedded to lossless cod ing of m otion compensated prediction residual in lossless v ideo coding [ DB /OL]. http: / /dm sun4. bath. ac. uk /pape rs /char ith-VC IP01. pd.f 2000- 09- 19.
[ 9] 李庆扬. 数值分析[M ] . 北京: 清华大学出版社, 2001.
[ 10] 刘浩, 尹忠科, 王建英. Daubech ies提升小波在图像去噪中的仿真研究[ J]. 计算机仿真, 2008, 25( 1): 233- 235.

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备注/Memo

备注/Memo:
基金项目: 安徽省高校省级自然科学研究项目( KJ2009B034); 巢湖学院自然科学研究项目( XLY-200607)
作者简介: 杨汉生( 1966- ) , 男, 博士, 副教授, 主要研究方向: 控制理论研究与开发, E-ma il:danpian ji51@ 163. com;
通讯作者: 杨成梧( 1936- ), 男, 教授, 博士生导师, 主要研究方向: 控制理论, E-m a il: yangcw@ m a il.njust. edu. cn。
更新日期/Last Update: 2012-11-19