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Analysis of Linear Time-varying Systems via Haar Wavelet

Analysis of Linear Time varying Systems via Haar Wavelet
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摘要 In this paper Haar wavelet integral operational matrices are introduced and then applied to analyse linear time varying systems. The method converts the original problem to solving linear algebraic equations. Hence, computational difficulties are considerably reduced. Based on the property of time frequency localization of Haar wavelet bases, the solution of a system includes both the frequency information and the time information. Other orthogonal functions do not have this property. An example is given, and the results are shown to be very accurate. ? In this paper Haar wavelet integral operational matrices are introduced and then applied to analyse linear time varying systems. The method converts the original problem to solving linear algebraic equations. Hence, computational difficulties are considerably reduced. Based on the property of time frequency localization of Haar wavelet bases, the solution of a system includes both the frequency information and the time information. Other orthogonal functions do not have this property. An example is given, and the results are shown to be very accurate.
作者 刘湘黔 张霖
出处 《Tsinghua Science and Technology》 SCIE EI CAS 1999年第1期43-45,共3页 清华大学学报(自然科学版(英文版)
关键词 Haar wavelet time varying systems orthogonal functions Haar wavelet time varying systems orthogonal functions
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