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arXiv math-ph/0605063math-phmath.MP
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离散分数阶随机余弦和正弦变换

The discrete fractional random cosine and sine transforms

Zhengjun Liu, Qing Guo, Shutian Liu

摘要:

在离散分数阶随机变换(DFRNT)的基础上,提出了离散分数阶随机余弦变换(DFRNCT)和离散分数阶随机正弦变换(DFRNST)。我们证明了DFRNCT和DFRNST可以看作是DFRNT的特殊类型,因此它们的数学性质继承了DFRNT。给出了一维和二维函数的DFRNCT和DFRNST的数值结果。

英文摘要:

Based on the discrete fractional random transform (DFRNT), we present the discrete fractional random cosine and sine transforms (DFRNCT and DFRNST). We demonstrate that the DFRNCT and DFRNST can be regarded as special kinds of DFRNT and thus their mathematical properties are inherited from the DFRNT. Numeral results of DFRNCT and DFRNST for one and two dimensional functions have been given.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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