迭代方程与离散叙率Walsh函数 |
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引用本文: | 冯德修.迭代方程与离散叙率Walsh函数[J].计算数学,1981,3(3):268-271. |
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作者姓名: | 冯德修 |
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作者单位: | 中国科学院生物物理所 |
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摘 要: | 在J.L.Shanks的基础上,给出了产生离散叙率Walsh函数的迭代方程,由迭代 方程推出了离散Walsh 函数的表达式和Walsh变换的速算 法(FWWT).
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ITERATIVE EQUATION AND DISCRETE SEQUENCY-ORDER WALSH FUNCTIONS |
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Institution: | Feng De-xiu Institute of Biophysics, Academia Sinica |
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Abstract: | On the basis of Shanks 1], a iterative equation have been deduced. The discreteorthogonal Walsh functions derived are sequency-order ones. The computationalgrithm of the fast Walsh transform defined by these Walsh functions is analogousto the Cooley-Tukey method for the complex-exponential Fourier transform. Theresults coincide well with the sequency-order Walsh functions and the computationformula of FWWT. |
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