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首页> 外文期刊>Journal of Communications Technology and Electronics >Lower Rao-Cramer Boundary of Variances for Parameter Joint Estimates of Narrowband and Broadband Signals Mixture with White Noise
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Lower Rao-Cramer Boundary of Variances for Parameter Joint Estimates of Narrowband and Broadband Signals Mixture with White Noise

机译:窄带和宽带信号混合的差异差异差异差异差异,具有白噪声

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摘要

In this paper, we determine the joint estimates variance minimum of the signal parameters, a mixture of narrowband and wideband signals and white Gaussian noise that are presented as a complex total signal. An expression is obtained for calculating the Fisher matrix elements to establish the lower Rao-Cramer boundary. The dependences of the standard deviations (RMS) of the estimates on the signal-to-noise ratio, sample length, and on the initial signal parameters, such as the central frequencies of the signal components and the width of the broadband component, are presented. A comparison with the minimal standard deviations obtained for a signal model that includes only the broadband component is performed. Analysis of the results allows assessing the requirements that may be imposed on the developed algorithms for joint estimation of the mixture parameters of the considered signals depending on the set values of the sampling frequency and the sample size.
机译:在本文中,我们确定了信号参数的关节估计差异,窄带和宽带信号的混合和呈现为复数总信号的白色高斯噪声。获得用于计算Fisher矩阵元件以建立下RAO-CRAMER边界的表达式。呈现了对信噪比,样本长度和初始信号参数的标准偏差(RMS)的依赖性,例如信号分量的中心频率和宽带分量的宽度,呈现。执行与仅包括仅包括宽带分量的信号模型获得的最小标准偏差的比较。结果分析允许评估可能施加对开发算法的要求,以根据采样频率的设定值和样本大小来联合估计所考虑信号的混合参数。

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