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ON EXPANSION OF FUNCTIONS BY HAAR ORTHOGONAL SYSTEM

期刊名字: The Way of Science (Vol.1, No. 35)

Publication Date:

论文作者 : ; ; ;

起始页码 : 16-18

关键字 : function; Haar’s discrete transformation; wavelet basis; theory of embedding; Haar orthogonal system; Fourier coefficients; sampling theorem;

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论文摘要

Two simplest wavelet base generating discrete Haar's transformation by frequency and time decimation are considered. For these bases analogs of the sampling theorem are received. The concept of logarithmic autoreverse spectrum is introduced. Connection between the signals having an identical spectrum in the considered wavelet bases is established on conditions that this spectrum is logarithmic autoreverse.

更新日期: 2017-06-06 17:07:09