{"title":"Truncated system's method in the tasks of dynamic correction","authors":"V. E. Shuvalov, A.A. Polewoy, K.E. Afanasev","doi":"10.1109/APEIE.2000.913108","DOIUrl":null,"url":null,"abstract":"The task of synthesis regularizing, high-speed, capable to operate in conditions of restricted computing operational lifes of restoring algorithms of input signals implemented on the basis of representation by matrices. Tikhonov's regularization a method in a basis of synthesis is put. The original approach to synthesis of high-speed matrix algorithms of signals restoring permitting to use for solution of the obtained system of the linear algebraic equations (LAE) with a Toeplitz matrix more effective modification of solutions method of the truncated systems is offered.","PeriodicalId":184476,"journal":{"name":"2000 5th International Conference on Actual Problems of Electronic Instrument Engineering Proceedings. APEIE-2000. Devoted to the 50th Anniversary of Novosibirsk State Technical University. Vol.1 (Cat","volume":"6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2000-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2000 5th International Conference on Actual Problems of Electronic Instrument Engineering Proceedings. APEIE-2000. Devoted to the 50th Anniversary of Novosibirsk State Technical University. Vol.1 (Cat","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/APEIE.2000.913108","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract

The task of synthesis regularizing, high-speed, capable to operate in conditions of restricted computing operational lifes of restoring algorithms of input signals implemented on the basis of representation by matrices. Tikhonov's regularization a method in a basis of synthesis is put. The original approach to synthesis of high-speed matrix algorithms of signals restoring permitting to use for solution of the obtained system of the linear algebraic equations (LAE) with a Toeplitz matrix more effective modification of solutions method of the truncated systems is offered.
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截断系统在动态修正任务中的方法
在矩阵表示的基础上实现的输入信号的恢复算法的综合、正则化、高速、能够在有限的计算操作寿命条件下运行的任务。提出了综合基础上的吉洪诺夫正则化方法。本文提出了信号恢复的高速矩阵算法的原始合成方法,允许对得到的带有Toeplitz矩阵的线性代数方程组(LAE)的解进行更有效的修正。
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