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Partial Differentiation of Real Binary Functions

Bing XieXiquan LiangHongwei Li — 2008

Formalized Mathematics

In this article, we define two single-variable functions SVF1 and SVF2, then discuss partial differentiation of real binary functions by dint of one variable function SVF1 and SVF2. The main properties of partial differentiation are shown [7].MML identifier: PDIFF 2, version: 7.9.03 4.104.1021

An efficient algorithm for estimating the parameters of superimposed exponential signals in multiplicative and additive noise

Jiawen BianHuiming PengJing XingZhihui LiuHongwei Li — 2013

International Journal of Applied Mathematics and Computer Science

This paper considers parameter estimation of superimposed exponential signals in multiplicative and additive noise which are all independent and identically distributed. A modified Newton-Raphson algorithm is used to estimate the frequencies of the considered model, which is further used to estimate other linear parameters. It is proved that the modified Newton-Raphson algorithm is robust and the corresponding estimators of frequencies attain the same convergence rate with Least Squares Estimators...

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