1.

If an LTI system is described by the difference equation y(n)=ay(n-1)+bx(n), 0

Answer»

Correct choice is (c) \(5+0.888sin(\FRAC{π}{2}n-420)-1.06cos(πn+\frac{π}{4})\)

To explain I WOULD say: From the given DIFFERENCE equation, we obtain

|H(ω)|=\(\frac{|b|}{\SQRT{1-2acosω+a^2}}\)

We get |H(0)|=1, |H(π/2)|=0.074 and |H(π)|=0.053

θ(0)=0, θ(π/2)=-420 and θ(π)=0 and we know that y(n)=H(ω)x(n)

=>y(n)=\(5+0.888sin(\frac{π}{2}n-42^0)-1.06cos(πn+\frac{π}{4})\)



Discussion

No Comment Found

Related InterviewSolutions