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A FIR system is described by the system function H(z) = 1 + 7/2 z⁻¹ + 3/2 z⁻² The system is

1. maximum phase
2. minimum phase
3. mixed phase
4. zero phase

Correct answer: mixed phase

Solution

H(z)=1+3.5z^-1+1.5z^-2 has zeros where z^2+3.5z+1.5=0, giving z=-0.5 and z=-3. One zero is inside the unit circle and one outside, so the FIR system is mixed phase, not minimum phase.

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