Home » Signals and Systems » Signals and systems electrical engineering miscellaneous » Question

Signals and systems electrical engineering miscellaneous

Easy Questions
Moderate Questions
Difficult Questions

Signals and Systems

Signals and systems electrical engineering miscellaneous
  1. 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?
    1. |H(0)| > |H(ω)|; |(ω)| > 0
    2. |H(ω)| has multiple maxima, at ω1 and ω2
    3. |H(ω)| < |H(ω)|; |(ω)| > 0
    4. |H(ω)| = constant; – ∞ < ω < ∞
Correct Option: D


The transfer function can be written as

H(s) =
(s - z1)(s - z1*)(s - z2)(s - z2*)
(s - P1)(s - P1*)(s - P2)(s - P2*)

|H(jω)| =
√ω² + |z1|²√ω² + |z1|²√ω² + |z2|²√ω² + |z2|²
√s² + |p1|²√ω² + |p1|²√ω² + |p2|²√ω² + |p2|²

from figure |z1| = |p2|
|z2| = |p1|
⇒ (H(jω)) = K [constant]


Your comments will be displayed only after manual approval.