A continuous-time LTI system with system function H(ω) has the following pole-zero plot. For this system, which of the alternatives is TRUE?

|H(0 | > | ω |;| ω |>0
H(ω)| has multiple maxima, at ω₁ and ω₂
| H(0) | < |H(ω)| ; | ω | > 0
| H(ω) | = constant; -∞ < ω < ∞

LohaHridoy

5 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 4 : | H(ω) | = constant; -∞ < ω < ∞

Pole zero plot is redrawn as

[ alt="EE Signals and Systems mobile Images-Q63.1" src="//storage.googleapis.com/tb-img/production/15/08/EE_Signals%20and%20Systems_mobile_Images-Q63.1.PNG" style="height:260px; width:261px">

As observed from the given pole-zero plot, poles & zeros are located symmetrically.

Therefore, it is all pass filter.

As we know that, from the property of all pass filter is,

|H(jω)| = constant for all values of ω
∠H(jω) = Linearly vary with ω

Hence, the correct option is (4)

5 views Answered 2022-09-04 04:29

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