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首页> 外文期刊>IEEE Transactions on Antennas and Propagation >Calculation of Far-Field Radiation Pattern Using Nonuniformly Spaced Antennas by a Least Square Method
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Calculation of Far-Field Radiation Pattern Using Nonuniformly Spaced Antennas by a Least Square Method

机译：最小二乘法计算非均匀间隔天线的远场辐射方向图

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摘要

The far field pattern from a nonuniformly spaced antenna array is computed using a least squares method. The method originally developed for spectral estimation for a nonuniformly spaced finite data set is applied for the analysis of the far field pattern from unevenly spaced antennas, as the far field pattern is due to the spectrum of the location of the antenna elements. The advantage of using a nonuniformly sampled data is that it is not necessary to satisfy the Nyquist sampling criterion as long as the average value of the sampling rate is less than the Nyquist rate. For a Fourier-based technique which also computes a least squares solution for the spectrum using a periodic data set, the finite data set then has to be periodically repeated resulting in bias in the solution. The methodology presented in the paper does not assume a periodic extension of the data set and can discern between the positive and negative frequencies of the spectrum unlike in the well-known Lomb periodogram. Finally, by exploiting a Hilbert transform relationship between the coefficients of the parameters in the least squares formulation an approximate fast way to compute the spectrum from unevenly spaced finite-sized non-periodic samples of the data can be realized. The example presented in this paper deals with a one-dimensional array even though this methodology is general in nature and can easily be extended to the two-dimensional case.
机译：使用最小二乘法计算来自不均匀间隔的天线阵列的远场方向图。最初开发用于非均匀间隔有限数据集频谱估计的方法被用于分析间隔不均匀天线的远场方向图，因为远场方向图是由于天线元件位置的频谱所致。使用非均匀采样数据的优点在于，只要采样率的平均值小于奈奎斯特率，就不必满足奈奎斯特采样准则。对于基于傅立叶的技术，该技术还使用周期性数据集来计算频谱的最小二乘解，然后必须周期性地重复有限数据集，从而导致解的偏差。与众所周知的Lomb周期图不同，本文介绍的方法不假设数据集会定期扩展，并且可以辨别频谱的正负频率。最后，通过利用最小二乘公式中参数的系数之间的希尔伯特变换关系，可以实现一种近似快速的方法，该方法可以从不均匀分布的有限大小的非周期性数据样本中计算光谱。本文介绍的示例处理一维数组，即使该方法本质上是通用的，并且可以轻松扩展到二维情况。

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