A new quasi‐analytical synthesis method is presented for designing spiral defected microstrip structures (DMS). A comprehensive analysis based on circuit models, mathematical relations, and extensive simulations is used to achieve an exact, straightforward, and tunable wide‐range frequency design process. The design process benefits of some novel formulas derived based on the overall form of resonance frequency functions and the study of extensive simulations. We used the Levenberg Marquardt Iteration (LMI) algorithm for the derivation of closed‐form formulas. The resonance frequency of a spiral DMS called notch frequency can be independently tuned in a large frequency span by employing the proposed method. The designed spiral DMSs and the new synthesis method can be applied to applications such as filters, antennas, amplifiers, and multipliers. The proposed spiral DMS design/synthesis method and the derived closed‐form formulas are verified and validated by simulations and fabrication of six filters with different geometries and specifications. A comparison of the simulation and measurement results of the fabricated filters proves the accuracy and validity of the proposed design method and formulas where the relative effort is less than 0.38%. The return loss and group delay of the filters are less than 0.48 dB and 0.5 ns, respectively.

中文翻译：

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螺旋缺陷微带紧凑型带阻滤波器的准解析合成方法

提出了一种新的拟分析综合方法，用于设计螺旋缺陷微带结构（DMS）。基于电路模型，数学关系和广泛的仿真的综合分析可用于实现精确，直接和可调的宽频率设计过程。设计过程中受益于一些基于共振频率函数整体形式和大量模拟研究得出的新颖公式。我们使用Levenberg Marquardt迭代（LMI）算法来推导闭式公式。通过使用所提出的方法，可以在较大的频率范围内独立调谐称为陷波频率的螺旋DMS的共振频率。设计的螺旋DMS和新的合成方法可以应用于滤波器，天线，放大器和乘法器等应用。通过模拟和制造六个具有不同几何形状和规格的过滤器，对所提出的螺旋DMS设计/合成方法和导出的闭式公式进行了验证和验证。通过对制造滤波器的仿真和测量结果进行比较，证明了相对力小于0.38％的设计方法和公式的准确性和有效性。滤波器的回波损耗和群延迟分别小于0.48 dB和0.5 ns。通过对制造滤波器的仿真和测量结果进行比较，证明了相对力小于0.38％的设计方法和公式的准确性和有效性。滤波器的回波损耗和群延迟分别小于0.48 dB和0.5 ns。通过对制造滤波器的仿真和测量结果进行比较，证明了相对力小于0.38％的设计方法和公式的准确性和有效性。滤波器的回波损耗和群延迟分别小于0.48 dB和0.5 ns。