In this paper we first prove the existence of the n-best approximation in terms of the parameterized Szegö kernels in the stochastic complex Hardy space of the unit disc. It is a generalization to random signals of the corresponding result for the Hardy space of the disc, and has applications in signal analysis. The result may be generalized to the randomized polydisc case with potential applications in image processing. A practical algorithm for the approximation is proposed.

中文翻译：

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随机稀疏表示：对随机信号的n最佳逼近和计算

在本文中，我们首先证明了单位圆盘随机复Hardy空间中参数化的Szegö核存在n-最佳逼近。它是对光盘Hardy空间中相应结果的随机信号的一种概括，并已应用于信号分析中。可以将结果推广到随机多碟情况，并在图像处理中有潜在的应用。提出了一种实用的近似算法。