Journal of Antennas
Vol. 07  No. 03 ( 2018 ), Article ID: 28280 , 8 pages
10.12677/JA.2018.73003

A New Method for Measuring Digital Active Phased Array Antenna

Jian Ding, Shuji Hao, Libin Lv

National Key Laboratory of Electromagnetic Environment, China Research Institute of Radiowave Propagation, Qingdao Shandong

Received: Dec. 1st, 2018; accepted: Dec. 21st, 2018; published: Dec. 28th, 2018

ABSTRACT

A new method is proposed to solve the measurement problem of digital active phased array antenna by using the modified coding algorithm. Fixing the probe in the mid-field of the phased array antenna, using the controllable excitation amplitude and phase of the digital active phased array antenna, the excitation amplitude and phase are coded, and the initial excitation is quickly recovered. The radiation characteristics of the measured antenna are obtained by using the active element pattern and the initial excitation. The simulation results of two digital active phased array antenna models verify the correctness and efficiency of the proposed method.

Keywords:Digital Active Phased Array Antenna, Active Element Pattern, Mid-Field, Orthogonal Coding

1. 引言

2. 测量方法模型

$E\left(\theta ,\varphi \right)={\sum }_{q=1}^{N}{V}_{q}{g}_{u}^{q}\left(\theta ,\varphi \right){\text{e}}^{jk\stackrel{^}{r}{r}_{q}}$ (1)

$E\left(\theta ,\varphi \right)={g}_{av}^{i}\left(\theta ,\varphi \right){\sum }_{n=1}^{{N}_{i}}{V}_{n}{\text{e}}^{jk\stackrel{^}{r}{r}_{n}}+{\sum }_{m=1}^{{N}_{e}}{V}_{m}{g}_{u}^{m}\left(\theta ,\varphi \right){\text{e}}^{jk\stackrel{^}{r}{r}_{m}}$ (3)

Figure 1. Measurement model of digital active phased array antenna

$y={\sum }_{q=1}^{N}{V}_{q}{c}_{q}$ (2)

${c}_{q}=\frac{{\text{e}}^{-jk{d}_{q}}}{{d}_{q}}{g}_{u}^{q}\left({\stackrel{^}{d}}_{q}\right)\cdot {f}_{p}\left(-{\stackrel{^}{d}}_{q}\right)$ (3)

3. 变型的编码算法的测量原理

${H}_{{2}^{k}}=\left[\begin{array}{cc}{H}_{{2}^{k-1}}& {H}_{{2}^{k-1}}\\ {H}_{{2}^{k-1}}& -{H}_{{2}^{k-1}}\end{array}\right]$ (4)

${a}_{q}=\left\{\begin{array}{l}t\left(q\right){V}_{q},\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}H\left(m,n+1\right)=+1\\ {V}_{q},\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}H\left(m,n+1\right)=-1\end{array}$ (5)

$y\left(m\right)={\sum }_{q=1}^{N}{a}_{q}{c}_{q}={\sum }_{q=1}^{N}\left(\frac{1+H\left(m,n+1\right)}{2}{V}_{q}+\frac{1-H\left(m,n+1\right)}{2}t\left(q\right){w}_{q}\right){c}_{q}$ (6)

${H}_{M}^{-1}=\frac{1}{M}{H}_{M}$ (7)

$z\left(q\right)=\frac{1}{M}{\sum }_{m=1}^{N}H\left(m,n+1\right)y\left(m\right),\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}q=1,2,\cdots ,N$ (8)

$z\left(q\right)=\frac{\left(1-t\left(q\right)\right){V}_{q}{c}_{q}}{2},\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}q=1,2,\cdots ,N$ (9)

${V}_{q}=\frac{2\ast z\left(q\right)}{\left(1-t\left(q\right)\right){c}_{q}},\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}q=1,2,\cdots ,N$ (10)

Table 1. Coding algorithms for three variants

4. 仿真结果分析

Figure 2. Radiation pattern of 14-element linear array

Figure 3. Amplitude and phase distribution of elements in 14-element linear array

Figure 4. Scanning radiation pattern of 7 × 7 planar array

5. 结论

Figure 5. Amplitude and phase distribution of elements in 7 × 7 planar array

A New Method for Measuring Digital Active Phased Array Antenna[J]. 天线学报, 2018, 07(03): 17-24. https://doi.org/10.12677/JA.2018.73003

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