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Quiz: Signals and Systems Set-3

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Number of Questions: 25

Question: 1 -

A first order system will never be able to give a __________ response

  1. band stop
  2. band pass
  3. all pass
Choose the correct option

Options:

  1. 1, 2 are true 3 is false

  2. 1 and 3 true, 2 false

  3. 1, 2 are false, 3 is true

  4. 1, 2, 3 true

    5. Answer:

    1, 2 are true 3 is false
    Solution:

    To design band pass or band stop, transfer function of must be second order.

Question: 2 -

What about the stability of system in

H(z) = (z(3z-4))/((z-0.4)(z-2))

 

Options:

  1. can't say

  2. unstable

  3. stable at 0.4

  4. system is stable

    5. Answer:

    system is stable
    Solution:

    ROC include the unit circle hence it is stable.

Question: 3 -

A voltage V(t) is a Gaussian ergodic random process with a mean of zero and a variance of 4 volt2. If it is measured by a dc meter. The reading will be

Options:

  1. 2

  2. √2

  3. 4

  4. 0

    5. Answer:

    0
    Solution:

    DC meter reads mean value

Question: 4 -

Which one most appropriate dynamic system?

Options:

  1. y(n) + y(n - 1)

  2. y(n) + y(n - 1) + y(n + 3) = 0

  3. y(n) + y(n - 1) + y(n + 1)

  4. y(n) = x(n)

    5. Answer:

    y(n) + y(n - 1) + y(n + 1)
    Solution:

    Present output of y(n) depend upon past y(n - 1) and future y(n + 1).

Question: 5 -

An energy signal has G(f) = 10. Its energy density spectrum is

Options:

  1. 20

  2. 10

  3. 100

  4. 50

    5. Answer:

    100
    Solution:

    Energy density spectrum = |G(f)|2 = |10|2 = 100.