Читать книгу Handbook of Microwave Component Measurements - Joel P. Dunsmore - Страница 135

Y‐parameters are essentially an inverse, of Z‐parameters, and in fact the Y‐matrix is the inverse of the Z‐matrix. The definition of Y‐parameters is derived from

(2.32)

From this, the common description of Y‐parameters are

(2.33)

The Y‐parameters can also be defined for more than 2‐port devices, and the matrix form is

(2.34)

where the Y‐matrix refers to [Y]. The Y‐matrix is related to the Z‐matrix through its inverse, as

(2.35)

The conversions between the S‐matrix and the Y‐matrix are

(2.36)

where Δ_YS = (1 + S₁₁)(1 + S₂₂) − S₂₁S₁₂

(2.37)

where ΔY = (Y₀ + Y₁₁)(Y₀ + Y₂₂) − Y₂₁Y₁₂