What is the value of |X(ω)| given X(ω)=1/(1-ae-jω ) ,|a|<1?
A. 1/√(1-2acosω+a2 )
B. 1/√(1+2acosω+a2)
C. 1/(1-2acosω+a2 )
D. 1/(1+2acosω+a2 )
Answer:A
What is the value of |X(ω)| given X(ω)=1/(1-ae-jω ) ,|a|<1?
A. 1/√(1-2acosω+a2 ) B. 1/√(1+2acosω+a2) C. 1/(1-2acosω+a2 ) D. 1/(1+2acosω+a2 )
Explanation: For the given X(ω)=1/(1-ae-jω ) ,|a|<1 we obtain