s参数与z参数的转换关系
时间: 2023-11-02 14:06:56 浏览: 640
s参数和z参数是两种不同的网络参数表示方法,它们之间存在一定的转换关系。下面是s参数与z参数的转换公式:
对于两端口网络:
z11 = (1 + s11)/(1 - s11*s22 - s12*s21)
z12 = 2*s12/(1 - s11*s22 - s12*s21)
z21 = 2*s21/(1 - s11*s22 - s12*s21)
z22 = (1 + s22)/(1 - s11*s22 - s12*s21)
对于四端口网络:
z11 = (s11 + s13*s31 - s12*s21*s33)/(s33*(1 - s11*s22 - s12*s21) - s13*s31)
z12 = s12*(1 - s33*s22)/(s33*(1 - s11*s22 - s12*s21) - s13*s31)
z13 = (s13 + s11*s31*s23)/(s33*(1 - s11*s22 - s12*s21) - s13*s31)
z14 = (s14 + s11*s31*s24)/(s33*(1 - s11*s22 - s12*s21) - s13*s31)
z21 = s21*(1 - s33*s11)/(s33*(1 - s11*s22 - s12*s21) - s13*s31)
z22 = (s22 + s24*s42 - s23*s32*s44)/(s44*(1 - s11*s22 - s12*s21) - s24*s42)
z23 = (s23 + s22*s32*s13)/(s44*(1 - s11*s22 - s12*s21) - s24*s42)
z24 = (s24 + s22*s32*s14)/(s44*(1 - s11*s22 - s12*s21) - s24*s42)
z31 = (s31 + s33*s13*s21)/(s11*(1 - s22*s11 - s12*s21) - s13*s31)
z32 = s32*(1 - s11*s44)/(s22*(1 - s11*s22 - s12*s21) - s12*s32)
z33 = (s33 + s31*s13*s23)/(s11*(1 - s22*s11 - s12*s21) - s13*s31)
z34 = (s34 + s31*s13*s24)/(s11*(1 - s22*s11 - s12*s21) - s13*s31)
z41 = (s41 + s43*s23*s21)/(s22*(1 - s11*s22 - s12*s21) - s24*s42)
z42 = (s42 + s43*s23*s22)/(s22*(1 - s11*s22 - s12*s21) - s24*s42)
z43 = s43*(1 - s22*s33)/(s33*(1 - s11*s22 - s12*s21) - s13*s31)
z44 = (s44 + s42*s24*s34)/(s33*(1 - s11*s22 - s12*s21) - s13*s31)
其中,s11、s12、s21、s22、s13、s31、s23、s32、s33、s44、s34、s43、s41 分别是网络的s参数,z11、z12、z13、z14、z21、z22、z23、z24、z31、z32、z33、z34、z41、z42、z43、z44 分别是网络的z参数。这些转换公式可以用于计算各种类型的网络参数。
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