FREE BEE Bachelor of Electrical Engineering Signals and Control Systems Questions and Answers Flashcards
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Read the first 6 FREE BEE Bachelor of Electrical Engineering Signals and Control Systems Questions and Answers flashcards as text
What is the Laplace transform of a unit ramp function r(t) = t·u(t)?
Answer: 1/s²
The Laplace transform of t·u(t) is 1/s².
A system with transfer function G(s) = 5/(s² + 4s + 5) has poles at which locations?
Answer: -2 ± j
Using the quadratic formula on s² + 4s + 5 = 0 gives s = -2 ± j1.
In a Bode plot, a first-order pole contributes what slope change at its corner frequency?
Answer: -20 dB/decade
A single real pole introduces a -20 dB/decade asymptotic slope change at the break frequency.
What does the Nyquist stability criterion use to determine closed-loop stability?
Answer: Number of encirclements of the -1 point
The Nyquist criterion counts encirclements of the critical point -1+j0 by the open-loop frequency response.
For a continuous-time LTI system, if the impulse response h(t) is absolutely integrable, the system is considered:
Answer: BIBO stable
Absolute integrability of the impulse response is the necessary and sufficient condition for BIBO stability.
The region of convergence (ROC) of a causal signal's Laplace transform is:
Answer: To the right of the rightmost pole
For a right-sided (causal) signal, the ROC extends to the right of the rightmost pole in the s-plane.