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一类随机传染病模型的非参数统计分析
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作者 金灿 胡良剑 《纺织高校基础科学学报》 CAS 2018年第2期204-210,225,共8页
非参数估计无需考虑分布,便于处理数据.为研究随机SIS传染病模型中的扩散系数和漂移系数,对其随机微分方程作变换,得到扩散系数和漂移系数的非参数估计模型,并给出小波估计公式.通过模拟SIS模型的样本轨道,得到扩散系数和漂移系数的初... 非参数估计无需考虑分布,便于处理数据.为研究随机SIS传染病模型中的扩散系数和漂移系数,对其随机微分方程作变换,得到扩散系数和漂移系数的非参数估计模型,并给出小波估计公式.通过模拟SIS模型的样本轨道,得到扩散系数和漂移系数的初始样本值,并利用小波多分辨分析理论,得到小波修正样本值.分别基于初始样本值和小波修正样本值计算扩散系数和漂移系数的小波估计值,得到估计效果图.通过比较发现小波修正样本估计效果更优. 展开更多
关键词 随机SIS模型 小波估计法 扩散系数 漂移系数
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Direction of Arrivals Estimation for Correlated Broadband Radio Signals by MVDR Algorithm Using Wavelet 被引量:3
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作者 Ying Liu Chi Xie Yourun Zhang 《China Communications》 SCIE CSCD 2017年第3期190-197,共8页
A theoretical relationship between the wavelet transform and the fast fourier transformation(FFT) methods in broadband wireless signal is proposed for solving the direction of arrivals(DOAs) estimation problem. This l... A theoretical relationship between the wavelet transform and the fast fourier transformation(FFT) methods in broadband wireless signal is proposed for solving the direction of arrivals(DOAs) estimation problem. This leads naturally to the derivation of minimum variance distortionless response(MVDR) algorithm, which combines the benefits of subspace methods with those of wavelet, and spatially smoothed versions are utilized which exhibits good performance against correlated signals. We test the method's performance by simulating and comparing the performance of proposed algorithm, FFT MVDR and MVDR with correlated signals, and an improved performance is obtained. 展开更多
关键词 array antenna broadband radio signal direction of arrival MVDR algorithm wavelet
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