Consider an LTI system with impulse response h(t) = e-5t u(t). If the output of the system is y(t) = e-3t u(t) – e-5t u(t) then the input, x(t), is given by
2e-3t u(t)
H(s)=1/(s+5), while Y(s)=1/(s+3)−1/(s+5)=2/[(s+3)(s+5)]. Hence X(s)=Y/H=2/(s+3), giving x(t)=2e⁻³ᵗu(t).
Important Questions from Standard Signals
The properties of Dirac Delta are
A. δ (t - to)=∞ if t = to
B. δ (t - to)=0 if t = to
C. δ (t - to)=0 if t ≠ to
D. δ (t - to)=∞ if t ≠ to
E. δ (t - to)=1 for all t = to
Choose the correct answer from the options given below:
The correct expression of the following triangular wave is :
The average value of a periodic trapezoidal waveform is given by :
Consider a continuous-time signal
$x(t) = – t^2 \{u(t + 4) – u(t – 4)\}$
where $u(t)$ is the continuous-time unit step function. Let $\delta(t)$ be the continuous-time unit impulse function. The value of
$\int_{-\infty}^{\infty} x(t) \delta(t + 3)dt$ isWhich of the following is NOT one of the sampling techniques?
