Consider the function f(t) having Laplace transform,the final value of f(t) would be
L-1[F(S)] = sin ω0t
f(t) - sin ω0t
So, - 1 < f(∞) <1
The transfer function H(S) of a stable system is
the impulse response is
System is stable
If L[f(t)] = then f(0+) and f(∞) are given by
Find the laplace transform of time function shown in figure.
Consider the following signal:
the laplace transform of above system is
Consider a signal x(t) having laplace transform given by,
The time domain signal x(t) is equal to
then, L[h(t)] is
Convolution in time domain is multiplication in s-domain.
A causal LTI system is described by the difference equation, 2y[n] = αy[n- 2] - 2x[n] + βx[n - 1]. The system is stable only if,
For system to bs stable, β can be of any value.
For system to be stable all poles should be inside unity circle.
Match List-I (Function in time domain) with List-II (Corresponding Laplace Transform F(S)) and select the correct answer using the codes given below the lists:
The lapiace transform of