用指数逼近信号的解耦方法

IEEE Trans. Syst. Sci. Cybern. Pub Date : 1970-07-01 DOI:10.1109/TSSC.1970.300349

V. Jain

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引用次数: 15

摘要

这种通过指数的线性组合逼近经验信号的非迭代方法产生次优逼近。值得注意的是，次优指数?i?分数阶积分平方误差?这是真的吗?0 ?i = ?i，最优指数。研究了正弦脉冲和平方脉冲的积分平方误差的表示方法，并给出了一个实用的误差公式。

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Decoupled Method for Approximation of Signals by Exponentials

This noniterative method for approximating empirical signals over [O, ?) by a linear combination of exponentials yields suboptimal approximation. Notably, the dependence of the suboptimal exponents ?i? on the fractional integral square error ? is such that lim??0 ?i = ?i, the optimal exponents. The integral square error in representation is studied for a sin and a square pulse, and a useful error formula is developed.

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IEEE Trans. Syst. Sci. Cybern.

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