| 关于一类非连续的正交函数及其应用的探讨 |
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| 引用本文： | 齐东旭. 关于一类非连续的正交函数及其应用的探讨[J]. 高校应用数学学报(A辑), 1990, 5(1): 39-46 |
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| 作者姓名： | 齐东旭 |
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| 作者单位： | 北方工业大学 |
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| 摘 要： | 本文研究一类新的非连续分段线性函数系,它是正交且完备的。特别讨论了它与离散斜变换的内在联系,从而建立直接的快速算法。分析表明这些结果有希望作为数字信号处理某些问题的新的有效的数学工具。
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| 关 键 词： | 正交函数 非连续 数字信号处理 |
A CLASS OF DISCONTINUOUS ORTHOGONAL FUNCTIONS AND ITS APPLICATIONS |
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| Qi Dongxu. A CLASS OF DISCONTINUOUS ORTHOGONAL FUNCTIONS AND ITS APPLICATIONS[J]. Applied Mathematics A Journal of Chinese Universities, 1990, 5(1): 39-46 |
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| Authors: | Qi Dongxu |
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| Affiliation: | North China University of Technology |
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| Abstract: | A new system of discontinuous picccwisc linear function is considered in this paper. The system is orthogonal and complete.Some relations between the system and the discrete slant transformation arc discussed, therefore the fast transform algorithm can directly be obtained. Theoretical analysis shows that the system will draw a new kind of efficient mathematical methods to be used in the problems of digital signal processing. |
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| Keywords: | Orthogonal function Discontinuous orthogonal system Piecewise linear function Slant transformation Digital signal processing |
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