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首页> 外文会议>Proceedings of the 34th IASTED International Conference on Modelling, Identification and Control >A WIDELY LINEAR QUADRATIC ESTIMATION ALGORITHM FOR FUNCTIONALS OF GAUSSIAN SIGNALS
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A WIDELY LINEAR QUADRATIC ESTIMATION ALGORITHM FOR FUNCTIONALS OF GAUSSIAN SIGNALS

机译：高斯信号函数的宽线性二次估计算法

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摘要

A new solution to the problem of estimating any functional of a Gaussian signal observed in the presence of an additive noise is provided from the information supplied by both the observation process and its square, at a finite discrete instant of time. This problem is addressed in the quaternion domain and under a widely linear processing, by using a Karhunen-Loeve series expansion. The proposed solution takes the form of a suboptimum estimator which allows the estimation of a functional of the signal through a recursive algorithm. From the own expression of this suboptimum estimator, its superiority over the complex widely linear solution is guaranteed. Moreover, by way of illustration, a simulation example is developed.
机译：在有限的离散时刻，由观测过程及其平方所提供的信息，提供了一种估计在存在加性噪声时观测到的高斯信号的任何函数的问题的新解决方案。通过使用Karhunen-Loeve级数展开，可以在四元数域中并通过广泛的线性处理解决此问题。所提出的解决方案采用次优估计器的形式，该估计器允许通过递归算法估计信号的功能。根据该次优估计量的自身表示，可以保证其优于复杂的宽线性解。此外，通过说明，开发了仿真示例。

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