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Q#1 Frequency Domain Analysis GATE EC 2023 NAT +2 marks -0 marks

The asymptotic magnitude Bode plot of a minimum phase system is shown in the figure. The transfer function of the system is , where  and c are positive constants. The value of  is __________. (rounded off to the nearest integer).

Explanation:

From the given Bode magnitude plot, it is clear that there is one pole at origin, so we get  so

and at frequency

As the slope is  decade previously to make it 0 slope we will need a zero at frequency , so  system has a zero,

and at frequency ,

As the slope is  decade previously to make it  decade slope we will need 2 poles at frequency , so

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