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This paper presents a new method to compensate thermocouple sensor non-linearity based on orthogonal polynomial basis functions neural network. The artificial neural network module is used to realize Chebyshev artificial neural network. The mathematical model is established based on Chebyshev artificial neural network for non-linearity compensation. The principle and training algorithms of orthogonal...
To compare the difference between Zernike annular polynomial and Zernike circular polynomial, an approximate mathematic relationship between Zernike annular polynomial coefficients and SEIDEL coefficients is proposed. A new method is applied in comparing experiment. For real interferometric data of annular wave front, the SEIDEL aberration calculated in different ways is removed from the original...
Jackson polynomial is an important interpolation polynomial in approximation fields, there are some results of interpolation and approximation about Jackson polynomials have been established, those results contained different metric or different methods, one of them is a result about interpolation and approximation of Jackson polynomials in holder metric, then holder metric was generalized in a sense,...
Using the framework of formal theory of partial differential equations, we consider a method of computation of the m-Hilbert polynomial (i.e. Hilbert polynomial with multivariable), which generalizes the Seiler's theorem of Hilbert polynomial with single variable. Next we present an approach to compute the number of arbitrary functions of positive differential order in the general solution, and give...
The asymptotic probability distribution of the mutual information of a separately correlated Rician fading multiple-input multiple-output (MIMO) channel is addressed. The mean and variance of the mutual information are derived when the number of transmit and receive antennas grows asymptotically large while their ratio approaches a finite constant. This derivation is based on the replicamethod, widely...
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