What is the partial fraction expansion of the proper function X(z)= 1/(1-1.5z-1+0.5z-2 )?
A. 2z/(z-1)-z/(z+0.5)
B. 2z/(z-1)+z/(z-0.5)
C. 2z/(z-1)+z/(z+0.5)
D. 2z/(z-1)-z/(z-0.5)
Answer:A
What is the partial fraction expansion of the proper function X(z)= 1/(1-1.5z-1+0.5z-2 )?
A. 2z/(z-1)-z/(z+0.5) B. 2z/(z-1)+z/(z-0.5) C. 2z/(z-1)+z/(z+0.5) D. 2z/(z-1)-z/(z-0.5)
Explanation: First we eliminate the negative powers of z by multiplying both numerator and denominator by z2.