Evaluation of Impulse Response of Linear Systems by using Legendre Polynomials†
作者:
H. B. KEKRE,
期刊:
International Journal of Control
(Taylor Available online 1968)
卷期:
Volume 7,
issue 1
页码: 81-93
ISSN:0020-7179
年代: 1968
DOI:10.1080/00207176808905583
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Impulse response of linear time invariant systems is partitioned by dividing time axis into equal intervals of time. Then impulse response is expressed as a sum of partitioned portions of impulse response. Each individual portion of impulse response is approximated by a finite sum of Legendre polynomials, satisfying integral squared error criterion. In this investigation an experimental procedure is suggested to evaluate the coefficients of these polynomials to cahieve the best approximation. Knowing these coefficients the best approximation to impulse response is obtained us illustrated by the examples considered. If the coefficients of the input signal are also known then it is shown that the values of the output response at the partitioning instants can be computed.
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