Signals and Systems – Multiple Choice Questions (MCQs)

1. 61. A system with a transfer function H(s) = 1/(s+1) is a:

   • A. Low-pass filter
   • B. High-pass filter
   • C. Band-pass filter
   • D. Band-stop filter

2. 62. A system with a transfer function H(s) = s/(s+1) is a:

   • A. Low-pass filter
   • B. High-pass filter
   • C. Band-pass filter
   • D. Band-stop filter

3. 63. The fundamental period of a signal x(t) = cos(ω₀t) + sin(2ω₀t) is:

   • A. π/ω₀
   • B. 2π/ω₀
   • C. 4π/ω₀
   • D. π/2ω₀

4. 64. The Nyquist rate is the minimum sampling frequency required to avoid:

   • A. Aliasing
   • B. Quantization error
   • C. Noise
   • D. Distortion

5. 65. An anti-aliasing filter is a ________ filter.

   • A. Low-pass
   • B. High-pass
   • C. Band-pass
   • D. Band-stop

6. 66. The Laplace Transform is a generalization of the:

   • A. Fourier Transform
   • B. Z-Transform
   • C. Hilbert Transform
   • D. Wavelet Transform

7. 67. A system is said to be BIBO stable if every bounded input results in a:

   • A. Bounded output
   • B. Unbounded output
   • C. Zero output
   • D. Constant output

8. 68. The convolution integral is used to find the output of an LTI system given its input and:

   • A. Impulse response
   • B. Frequency response
   • C. Transfer function
   • D. Poles and zeros

9. 69. The impulse response of an ideal high-pass filter is:

   • A. Sinc function
   • B. Derivative of sinc function
   • C. Exponential function
   • D. Unit step function

10. 70. The initial value theorem for Z-transform states that x[0] = :

    • A. lim(z->∞) X(z)
    • B. lim(z->0) X(z)
    • C. lim(z->1) X(z)
    • D. X(0)

11. 71. The final value theorem for Z-transform states that lim(n->∞) x[n] = :

    • A. lim(z->1) (z-1)X(z)
    • B. lim(z->∞) (z-1)X(z)
    • C. lim(z->0) (z-1)X(z)
    • D. X(1)

12. 72. The convolution sum is used for:

    • A. Continuous-time systems
    • B. Discrete-time systems
    • C. Analog systems
    • D. Non-linear systems