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Home ‣ Electronics and Communication Engineering ‣ Signals and Systems Comments
  • Question

  • If £[f(t)] = F(s), then £[f(t - T)] =


  • Options
  • A. est F(s)
  • B. e-st F(s)
  • C. If £[f(t)] = F(s), then £[f(t - T)] = est F(s) e-st F(s) A linear system is one in which the relatio
  • D. If £[f(t)] = F(s), then £[f(t - T)] = est F(s) e-st F(s) A linear system is one in which the relatio

  • Correct Answer
  • e-st F(s) 

    Explanation
    A linear system is one in which the relationship between input and output is linear.

    All linear system possess the property of superposition i.e., if input u1 gives output y1 and input u2 gives output y2 then input u1 + u2 will give output y1 + y2.

    Superposition implies homogencity i.e., if input u gives output y, then input ku gives output ky where k is a rational number.

    In general a system is linear if a transformation T satisfies the relation

    T(au1 + ?u2) = aT(u1) + ?T(u2)

    where a and ? are constant.

    Signals and Systems problems

    Search Results

    • 1. The system with given pole-zero diagram is

    • Options
    • A. casual
    • B. non-casual
    • C. both sided
    • D. not-possible
      • Discuss
    • 2. A voltage wave having 5% fifth harmonic content is applied to a series RC circuit. The percentage fifth harmonic content in the current wave will be

    • Options
    • A. 5%
    • B. more than 5%
    • C. less than 5%
    • D. equal or more than 5%
      • Discuss
    • 3. Let x(t) and y(t) with F.T. x(f) and y(f) respectively be related as shown in figure

      Then y(f) is

    • Options
    • A.
    • B.
    • C. -X(f/2)ej2pf
    • D. -X(f/2)e- j2pf
      • Discuss
    • 4. The signal defined by the equations f(t) = 0 for t < 0, f(t) = E for 0 ? t ? a and f(t) = 0 for t > a is

    • Options
    • A. a step function
    • B. a pulse function
    • C. a shifted step function originating at t = a
    • D. none of the above
      • Discuss
    • 5. If I (s) , the final value of i(t) is

    • Options
    • A. 5A
    • B. 12.5 A
    • C. 0.05 A
    • D. 1250 A
      • Discuss
    • 6. As per time displacement theorem in Laplace transformation, displacement in the time domain by T becomes

    • Options
    • A. division by s in the s domain
    • B. division by e-sT in the s domain
    • C. multiplication by s in the s domain
    • D. multiplication by e-sT in the s domain
      • Discuss
    • 7. An energy signal has G(f) = 10. Its energy density spectrum is

    • Options
    • A. 10
    • B. 100
    • C. 50
    • D. 20
      • Discuss
    • 8. A signal m(t) is multiplied by a sinusoidal waveform of frequency fc such that
      v(t)=m(t) cos 2pfct
      If Fourier transform of m(t) is M(f), Fourier transform of v(t) will be

    • Options
    • A. 0.5 M(f + fc)
    • B. 0.5 M(f - fc)
    • C. 0.5 M(f + fc) + 0.5 M(f - fc)
    • D. 0.5 M(f - fc) + 0.5 M(f - fc)
      • Discuss
    • 9. The analog signal m(t) is given below m(t) = 4 cos 100 pt + 8 sin 200 pt + cos 300 pt, the Nyquist sampling rate will be

    • Options
    • A. 1/100
    • B. 1/200
    • C. 1/300
    • D. 1/600
      • Discuss
    • 10. Which one is a linear system?

    • Options
    • A. y[n] = x[n] x x[n - 1]
    • B. y[n] = x[n] + x[n - 10]
    • C. y[n] = x2[n]
    • D. (a) and (c)
      • Discuss

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