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This paper focuses on uniform boundary estimates in homogenization of a family of higher-order elliptic operators $$\mathcal {L}_\varepsilon $$ L ε , with rapidly oscillating periodic coefficients. We derive uniform boundary $$C^{m-1,\lambda } (0\!<\!\lambda \!<\!1)$$ C m - 1 , λ ( 0 < λ < 1 ) and $$ W^{m,p}$$ W m , p estimates in $$C^1$$ C 1 ...
The smart antenna adaptive algorithms achieve the best weight vector for beam forming by iterative means. Whether the algorithm is good depends on the convergence rate and steady state error. Beam forming is directly determined by the two factors. The performance of the traditional LMS algorithm is analyzed in this paper. Then a new variable step size algorithm is proposed and is applied to beam forming...
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