The purpose of this study is to characterize a two-port Bridged-T network using transmission (T) and scattering (S) matrices. Using mathematical derivations, scattering parameters including S11, S12, S21, and S22 have been derived from the T and S matrices to permit a detailed investigation of the network's performance. As two of the most relevant parameters in the design of microstrip filters, both the magnitude and phase of S11 and S21 have been parametrically calculated after normalizing the frequency. Furthermore, when the inductors L1 and L2 are identical, all even coefficients of the numerator polynomial in the S11 transfer function are eliminated, leaving only the odd coefficients behind. Based on this feature, the bridged-T circuit is designed to operate as a high-pass filter. Therefore, the magnitude and phase of both S11 and S21 have been simulated for the designed filter with a corner frequency of 1 GHz. Simulation results performed by Keysight ADS show that S11 and S21 for the high-pass filter built upon the bridged-T network have sharp roll-off ratios of -30dB/GHz and -32dB/GHz respectively.

翻译：本研究旨在利用传输（T）矩阵与散射（S）矩阵对双端口桥T网络进行特性分析。通过数学推导，从T矩阵和S矩阵中提取出包括S11、S12、S21、S22在内的散射参数，从而实现对网络性能的详细研究。作为微带滤波器设计中最关键的两个参数，本研究在频率归一化后，对S11与S21的幅度和相位进行了参数化计算。进一步研究表明，当电感L1与L2相等时，S11传递函数分子多项式中的所有偶次项系数被消除，仅保留奇次项系数。基于该特性，桥T电路被设计为高通滤波器。为此，针对截止频率为1 GHz的滤波器，对S11与S21的幅度和相位进行了仿真。通过Keysight ADS软件进行的仿真结果表明，基于桥T网络构建的高通滤波器的S11和S21分别具有-30dB/GHz和-32dB/GHz的陡峭滚降率。