A Novel Tuning Method for Impedance Matching Network Based on Linear Fractional Transformation

A Novel Tuning Method for Impedance Matching Network Based on Linear Fractional Transformation
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一种基于线性分数变换的阻抗匹配网络调谐新方法

DOI:
10.1109/tcsii.2019.2931412
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发表时间:
2020-06
期刊:
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS—II: EXPRESS BRIEFS
影响因子:
--
通讯作者:
Tao Cao
Tao Cao
中科院分区:
其他
文献类型:
--
作者:
Botao Xiong;Lei Yang;Tao Cao

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如何以低成本实时校正天线阻抗变化是一个挑战。我们利用线性分数变换(LFT)提出了两个准则来满足二分搜索格式的先决条件。与基于梯度下降的算法相比,收敛速度从<inline-formula> < text -math notation="LaTeX">${O(N)}$ </ text -math></inline-formula>到<inline-formula> < text -math notation="LaTeX">${O({\ mathm {log}}N)}$ </ text -math></inline-formula>,但代价是昂贵的阻抗传感器。为了降低反馈电路的硬件成本和计算复杂度,优化了二叉搜索方案,只需要检测<斜体>S</斜体><sub>11</sub>的实部和虚部符号。因此,与阻抗传感器相比,所提出的反馈回路不需要模数转换器(adc)和数字计算。最后,通过电磁仿真验证了所提方案的有效性。
Correction of antenna impedance variation in real time with low cost is a challenge. We propose two criteria with the aid of linear fractional transformation (LFT) to fulfill the pre-requirements of binary search scheme. Compared with gradient descent-based algorithms, the convergence speed is improved from <inline-formula> <tex-math notation="LaTeX">${O(N)}$ </tex-math></inline-formula> to <inline-formula> <tex-math notation="LaTeX">${O({\mathrm{ log}}N)}$ </tex-math></inline-formula> at the cost of expensive impedance sensor. To reduce the hardware cost and computational complexity of feedback circuits, the binary search scheme is optimized so that only the detection of the sign of real part and imaginary part of <italic>S</italic><sub>11</sub> is required. As a result, compared with the impedance sensor, no analog to digital converters (ADCs) and digital calculations are required for the proposed feedback loop. In the end, the proposed scheme is validated with an electromagnetic simulation.
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影响因子: 1.1
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