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Signals and systems electrical engineering miscellaneous
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Signals and systems electrical engineering miscellaneous
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Signals and Systems
Signals and systems electrical engineering miscellaneous
The frequency response of a causal and stable LTI system is
H(jω) =
1 - jω
1 + jω
The group delay of the system is
2
1 + ω²
- 2
1 + ω²
2 tan
– 1
ω
– 2 tan
– 1
ω
Correct Option:
A
Group delay τ(ω) = -
d
∠H(jω)
dω
∠H(jω) = tan
–1
(– ω) – tan
–1
ω = – 2 tan
–1
ω
τ(ω) =
d
(- 2 tan
–1
ω) =
2
dω
1 + ω²
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