A system with H(z)= 1-3Z^(-1)-10 Z^(-2) is a 1 pointMixed phase systemMaximum phase systemMinimum phase systemAll of the above
Question
A system with H(z)= 1-3Z^(-1)-10 Z^(-2) is a 1 pointMixed phase systemMaximum phase systemMinimum phase systemAll of the above
Solution
The given system H(z)= 1-3Z^(-1)-10 Z^(-2) is a Minimum phase system.
Here's why:
A system is said to be a minimum phase system if all its poles and zeros are inside the unit circle in the z-plane.
In the given system, the coefficients of Z^(-1) and Z^(-2) are negative, which means the corresponding zeros are inside the unit circle.
Therefore, the system is a minimum phase system.
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