Partial Fraction 部分分式

Partial fraction decomposition may be required for dealing with z-transform.

partial fraction decomposition 部分分式分解
partial fraction expansion 部分分式展開

Solution:

Let X/( 1 )( 2 ) = A/( 1 ) + B/( 2 )

Multiply ( 1 ) and ( 2 ) at both sides and get

X = A ( 2 ) + B ( 1 )

Let ( 1 ) = 0 to get A:
A = X / ( 2 ) | _{( 1 ) = 0}

Let ( 2 ) = 0 to get B:
B = X / ( 1 ) | _{( 2 ) = 0}