Question 8.6: Determine the Laplace transform of the unit-impulse signal, ...
Determine the Laplace transform of the unit-impulse signal, δ(t) from the definition.
The blue check mark means that this solution has been answered and checked by an expert. This guarantees that the final answer is accurate.
Learn more on how we answer questions.
Learn more on how we answer questions.
X(s)=\int\limits_{0^{-} }^{\infty }{δ(t)e^{-st} }dt = 1,for all s and δ(t) ↔ 1, for all s.
Remember that the impulse is characterized by its unit area at t = 0.
Related Answered Questions
Question: 8.3
Verified Answer:
X(jω) =\int\limits_{0}^{a}e^{-jwt}dt=\frac{...
Question: 8.2
Verified Answer:
The waveform is shown in Fig. 8.3. The period of t...
Question: 8.5
Verified Answer:
X(jω) = \int_{0}^{\infty}\;{e^{-t}e^{-jwt}}...
Question: 8.7
Verified Answer:
X(s)=\int\limits_{0-}^{\infty }{e^{-at}u(t)...
Question: 8.4
Verified Answer:
As it encloses unit area at t = 0, we get
X...
Question: 8.8
Verified Answer:
The excitation and the impedance, in the Laplace t...
Question: 8.1
Verified Answer:
One period of the signal is shown in Fig. 8.1a. As...
Question: 8.10
Verified Answer:
The excitation and the impedance, in the Laplace t...
Question: 8.9
Verified Answer:
The excitation and the impedance, in the Laplace t...
Question: 8.12
Verified Answer:
The circuit is shown in Fig. 8.19a in the time-dom...