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The transfer function of a second order real system with a perfectly flat magnitude response of unity has a pole at (2 – j3). List all the poles and zeroes.
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- Poles at (2 ± j3), no zeroes
- Poles at (±2 – j3), one zero at origin
- Poles at (2 – j3), (– 2 + j3), zeroes at (– 2 – j3), (2 + j3)
- Poles at (2 ± j3), zeroes at (– 2 ± j3)
- Poles at (2 ± j3), no zeroes
Correct Option: D
System is second order
It means, number of poles = 2
System has perfectly flat magnitude response.
It means, It is all pass system
In all pass system,
Poles and zeros are mirror image about Imaginary axis,
One pole = (2 – j3)
Other pole = (2 + j3)
Therefore
poles at (2 ± j3)
zeros at (– 2 ± j3)
