No other hints except the text, i think v(t) is arbitrary...i am lost here how to represent it? Am i correct for 2nd part of linearity & time invariance?
Homework Statement
Input-output description of a system y(t) = S{v(t)} with S{v(t)} = sin[ωct+k.v(t)]
Wanted:
(a) Meaning of this system?
(b) Is this system
(i) linear?
(ii) time-invariant?
Homework Equations
The Attempt at a Solution
(a) I don't know how to...
Well, I found the zeros = √2*i & -√2*i
poles = -1, (-1+√3*i)/2 & -(1+√3*i)/2
Now, I am confused with the stability here? What type of stability is this LTI system? Anyone?
Homework Statement
The transfer function of an LTI system H(s) = (s^2 + 2)/(s^3+2s^2+2s+1)
Find the followings
i) pole-zero pattern of H(s)
ii) Stability of the system
iii) Impulse response h(t)
Homework Equations
Zero for which H(s) = 0 & Pole is for which H(s) = ∞
The...
Homework Statement
I am having some problems to derive Inverse Fourier transform of sinc function & exponential function. It's actually for getting the Impulse response from the given frequency response [which comprises of both sinc function & exponential function]. Also need to know the...