High speed spectral estimation using an optical implementation of the discrete Hartley transform

R. Kamm, W. McCormick
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引用次数: 1

Abstract

An efficient method for optically obtaining the modulus of the discrete Fourier transform (DFT) of a real input is presented. The method involves performing the discrete Hartley transform (DHT) by way of a simple vector-matrix multiplication with an incoherent optical processor. The DFT is directly obtainable from the DHT and vice-versa. However, the Hartley transform of a real function is real. The kernel of the Hartley transform is real, which makes it more suitable for application in an incoherent optical processor than the complex Fourier kernel. High-speed spectral estimation of sinusoidal radar for electronic warfare purposes is a potential application. Experimental results that demonstrate the method are presented.<>
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高速光谱估计使用离散哈特利变换的光学实现
提出了一种利用光学方法获得实输入离散傅里叶变换模量的有效方法。该方法涉及到通过一个简单的矢量矩阵乘法与一个非相干光学处理器来执行离散哈特利变换(DHT)。DFT可以直接从DHT中获得,反之亦然。然而,实函数的哈特利变换是实数。哈特利变换的核是实的,这使得它比复傅立叶核更适合应用于非相干光处理器。正弦雷达的高速频谱估计是一种潜在的电子战应用。实验结果证明了该方法的有效性。
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