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首页> 外文期刊>Applied optics >Optimization of orders in multichannel fractional Fourier-domain filtering circuits and its application to the synthesis of mutual-intensity distributions
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Optimization of orders in multichannel fractional Fourier-domain filtering circuits and its application to the synthesis of mutual-intensity distributions

机译：多通道分数阶傅里叶域滤波电路中阶数的优化及其在互强度分布合成中的应用

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摘要

Owing to the nonlinear nature of the problem, the transform orders in fractional Fourier-domain filtering configurations have usually not been optimized but chosen uniformly. We discuss the optimization of these orders for multi-channel-filtering configurations by first finding the optimal filter coefficients for a larger number of uniformly chosen orders, and then maintaining the most important ones. The method is illustrated with the problem of synthesizing desired mutual-intensity distributions. The method we propose allows those fractional Fourier domains, which add little benefit to the filtering process but increase the overall cost, to be pruned, so that comparable performance can be attained with less cost, or higher performance can be obtained with the same cost. The method we propose is more likely to be useful when confronted with low-cost rather than high-performance applications, because larger improvements are obtained when the use of a smaller number of filters is desired.
机译：由于问题的非线性性质，分数傅立叶域滤波配置中的变换顺序通常没有经过优化，而是统一选择。我们首先通过为大量均匀选择的阶次找到最佳滤波器系数，然后保持最重要的阶次来讨论针对多通道滤波配置的这些阶次的优化。说明了该方法具有合成所需的相互强度分布的问题。我们提出的方法允许修剪那些对过滤过程几乎没有好处但增加总成本的分数阶傅里叶域，从而可以用较低的成本获得可比的性能，或者以相同的成本获得较高的性能。我们提出的方法在面对低成本而非高性能应用程序时更有可能有用，因为当需要使用较少数量的滤波器时，会获得更大的改进。

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