Questions
1
What is the transient response of the system described by the difference equation y(n)=0.5y(n-1)+x(n) when the input signal is x(n)= 10cos(πn/4)u(n) and the system is initially at rest?
Answer:6.3(0.5)nu(n)
2
What is the steady-state response of the system described by the difference equation y(n)=0.5y(n-1)+x(n) when the input signal is x(n)= 10cos(πn/4)u(n) and the system is initially at rest?
Answer:13.56cos(πn/4 -28.7o)u(n)
3
If the ROC of the system function is the exterior of a circle of radius r < ∞, including the point z = ∞, then the system is said to be ___________
Answer:Causal
4
A linear time invariant system is said to be BIBO stable if and only if the ROC of the system function _____________
Answer:Includes unit circle
5
If all the poles of H(z) are inside the unit circle, then the system is said to be ____________
Answer:BIBO stable and causal
6
Which of the following is a Dirichlet condition with respect to the signal x(t)?
Answer:all of the mentioned
7
What is the spectrum that is obtained when we plot |ck |2 as a function of frequencies kF0, k=0,±1,±2..?
Answer:Power density spectrum
8
What is the spectrum that is obtained when we plot |ck| as a function of frequency?
Answer:Magnitude voltage spectrum
9
Which of the following relation is correct between Fourier transform X(F) and Fourier series coefficient ck?
Answer:ck= 1/TP(X(kF0))
