Signal and Systems MCQs

1. What is the impulse response of a system? A) The response of the system to a unit step signal B) The response of the system to a sinusoidal input C) The output of the system when the input is an impulse signal D) The transfer function of the system Answer: C) The output of the system when the input is an impulse signal 2. Which of the following is a linear time-invariant (LTI) system property? A) Time variance B) Memoryless C) Time invariance D) Non-causality Answer: C) Time invariance 3. What is the frequency response of a system? A) The response of the system to a unit step signal B) The response of the system to a sinusoidal input at different frequencies C) The output of the system when the input is an impulse signal D) The transfer function of the system Answer: D) The transfer function of the system 4. Which of the following is true about the Dirac delta function? A) It has finite duration B) It has zero amplitude everywhere C) It is odd symmetric D) It is an impulse signal Answer: D) It is an impulse signal 5. What is the unit step function used for in signal processing? A) To analyze signals in the frequency domain B) To model abrupt changes in signals C) To convert analog signals to digital signals D) To generate random signals Answer: B) To model abrupt changes in signals 6. Which of the following is a common property of causal systems? A) They respond before the input is applied B) They respond after the input is applied C) They respond simultaneously with the input D) They do not respond to the input Answer: B) They respond after the input is applied 7. What is the transfer function of a system? A) The response of the system to a unit step signal B) The response of the system to a sinusoidal input C) The output of the system when the input is an impulse signal D) The Laplace transform of the system’s impulse response Answer: D) The Laplace transform of the system’s impulse response 8. What is the purpose of system modeling in signal processing? A) To convert analog signals to digital signals B) To analyze signals in the frequency domain C) To understand and predict the behavior of systems D) To generate random signals Answer: C) To understand and predict the behavior of systems 9. Which of the following is true about a stable system? A) It oscillates indefinitely B) Its output approaches zero as time approaches infinity C) It has an impulse response with infinite energy D) It has an impulse response with zero energy Answer: B) Its output approaches zero as time approaches infinity 10. What is the time-domain representation of a frequency-domain signal? A) Magnitude and phase B) Frequency and amplitude C) Time and amplitude D) Time and frequency Answer: C) Time and amplitude 11. Which property is associated with a causal system? A) Memory B) Time invariance C) Anticausality D) Stability Answer: B) Time invariance 12. What is the Laplace transform of the unit step function? A) 1/s B) s C) 1/(s^2) D) 1 Answer: A) 1/s 13. What is the Laplace transform of the impulse function? A) 1 B) s C) 1/s D) δ(t) Answer: C) 1/s 14. Which property is associated with a non-causal system? A) It responds before the input is applied B) It responds after the input is applied C) It responds simultaneously with the input D) It does not respond to the input Answer: A) It responds before the input is applied 15. What is the convolution of a signal with an impulse function? A) The original signal B) The impulse response of the system C) The Laplace transform of the signal D) The Fourier transform of the signal Answer: A) The original signal 16. Which of the following is true about a time-invariant system? A) Its output depends on the current time only B) Its output depends on past and future times C) Its output depends on the input signal D) Its output does not depend on the input signal Answer: A) Its output depends on the current time only 17. What is the Laplace transform of an exponential decay function? A) 1/(s + a) B) 1/(s – a) C) 1/s D) e^(-at) Answer: A) 1/(s + a) 18. Which of the following is true about the unit impulse function? A) It is continuous B) It is an even function C) Its integral over all time is zero D) Its value is infinity at t=0 and zero elsewhere Answer: D) Its value is infinity at t=0 and zero elsewhere 19. What is the Laplace transform of a sinusoidal function? A) 1/sin(t) B) s/(s^2 + ω^2) C) cos(t) D) sin(t) Answer: B) s/(s^2 + ω^2) 20. Which property is associated with a memoryless system? A) Time invariance B) Linearity C) Causality D) No dependence on past inputs Answer: D) No dependence on past inputs 21. What is the Fourier transform of a real and even signal? A) Imaginary and odd B) Real and even C) Real and odd D) Imaginary and even Answer: B) Real and even 22. What is the Laplace transform of a constant function? A) 1 B) s C) 1/s D) δ(t) Answer: B) s 23. Which of the following is true about a causal and stable system? A) It has a bounded impulse response B) It has an impulse response with infinite energy C) It has an impulse response that decays to zero D) It has an impulse response that grows with time Answer: C) It has an impulse response that decays to zero 24. What is the Laplace transform of the unit ramp function? A) 1/s^2 B) 1/s^3 C) 1/s D) 1 Answer: A) 1/s^2 25. Which property is associated with a non-linear system? A) Time invariance B) Superposition C) Causality D) Memory Answer: B) Superposition 26. What is the convolution of two impulse functions? A) The original signal B) The impulse response of the system C) The Laplace transform of the signal D) Zero Answer: A) The original signal 27. What is the time-domain representation of a Laplace domain signal? A) Magnitude and phase B) Frequency and amplitude C) Time and amplitude D) Time and Laplace domain Answer: C) Time and amplitude 28. What is the Laplace transform of a sinusoidal function with amplitude A and frequency ω? A) A/sin(ωt) B) A/s^2 + ω^2 C) A/sin(ω) D) A/s + ω Answer: B) A/s^2 + ω^2

Signal and Systems MCQs

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