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For an LTI system, the Bode plot for its gain is as illustrated in the figure shown. The number of system poles Np and the number of system zeros Nz in the frequency range 1 Hz ≤ f ≤ 107 Hz is

For an LTI system, the Bode plot for its gain is as illustrated in the figure shown. The number of system poles Np and the number of system zeros Nz in the frequency range 1 Hz ≤ f ≤ 107 Hz is Correct Answer N<sub>p</sub> = 6, N<sub>z</sub> = 3

Concept:

  • The slope of the bode plot decreases by 20 dB/decade at the pole
  • The slope of the bode plot increases by 20 dB/decade at zero

Application:

Frequency

(Hz)

Change of

slope

No-of poles

/zeroes

10

-20 dB/dec

1 pole

100

-40 dB/dec

2 pole

1000

+20 dB/decade

1 zero

10,000

+40 dB/decade

2 zero

105

-40 dB/dec

2 pole

106

-20 dB/dec

1 pole

 

Total poles: 6 = NP

Total zeros: 3 = NZ

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