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On two-dimensional maximum entropy spectral estimation

机译:关于二维最大熵谱估计

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A novel method of two-dimensional spectral estimation, which the authors introduced recently (1987) using the Radon transform and a one-dimensional autoregressive model (AR), led them to investigate the maximization of entropy subject to the correlation matching constraints in the Radon space. Instead of solving the 2D maximum entropy (ME) spectral estimation problem, the authors convert it into a problem which is easier to solve. It is shown that a radial slice of the 2D ME spectrum can be obtained by 1D AR modeling of the projections (Radon transform) of a stationary random field (SRF). The advantages and limitations of using this new duality relation to estimate the complete 2D ME spectra on a polar raster are discussed.
机译:作者最近(1987年)使用Radon变换和一维自回归模型(AR)提出了一种二维光谱估计的新方法,使他们研究了Radon中相关匹配约束下的熵的最大化。空间。与其解决2D最大熵(ME)谱估计问题,不如将其转换为更易于解决的问题。结果表明,可以通过静态随机场(SRF)的投影的一维AR建模(Radon变换)获得2D ME光谱的径向切片。讨论了使用这种新的对偶关系来估计极坐标栅格上完整的2D ME光谱的优缺点。

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