Difference Equations MCQ

Test your knowledge with important Difference Equations MCQ and their applications. These MCQs are beneficial for competitive exams too. Explore 30 + more Difference Equations MCQs at Bissoy

• Assertion (A): For the rational transfer function H(z) to be causal, stable and causally invertible, both the zeroes and the poles should lie within the unit circle in the z-plane. Reason (R): For a rational system, ROC is bounded by poles
  ক

  Both A and R are true and R is the correct explanation of A

  খ

  Both A and R are true bit R is NOT the correct explanation of A

  গ

  A is true but R is false

  ঘ

  A is false but R is true
• Assertion (A): The stability of the system is assured if the ROC includes the unit circle in z-plane. Reason (R): For a causal stable system all the poles should be outside the unit circle in the z-plane.
  ক

  Both A and R are true and R is the correct explanation of A

  খ

  Both A and R are true bit R is NOT the correct explanation of A

  গ

  A is true but R is false

  ঘ

  A is false but R is true
• If X(z) =(z+z-3)/(z+z-1), then x(n) series has:
  ক

  Alternate 0s

  খ

  Alternate 1s

  গ

  Alternate 2s

  ঘ

  Alternate -1s
• The poles of a digital filter with linear phase response can lie
  ক

  Only at z =0

  খ

  Only on the unit circle

  গ

  Only inside the unit circle but not at z =0

  ঘ

  On the left side of Real (z) =0 line
• Assertion (A): An LTI discrete system represented by the difference equation. y (n+2)-5y(n+1)+6y(n) =x(n) is unstable. Reason (R): A system is unstable if the roots of the characteristic equation lie outside the unit circle.
  ক

  Both A and R are true and R is the correct explanation of A

  খ

  Both A and R are true but R is NOT the correct explanation of A

  গ

  A is true but R is false

  ঘ

  A is false but R is false
• Difference equation technique for higher order systems is used in:
  ক

  Laplace transform

  খ

  Fourier transform

  গ

  Z-transform

  ঘ

  None of the mentioned
• Difference equation solution yields at the sampling instants only:
  ক

  True

  খ

  False
• Difference equation in discrete systems is similar to the _____________ in continuous systems.
  ক

  Difference equation

  খ

  Differential equation

  গ

  Quadratic equation

  ঘ

  None of the mentioned
• Difference equation is used in :
  ক

  Discrete time analysis

  খ

  Continuous time analysis

  গ

  Digital analysis

  ঘ

  None of the mentioned
• Difference equation model results in:
  ক

  Sampled-data systems

  খ

  Numerical analysis of continuous time systems

  গ

  Continuous time feedback systems

  ঘ

  Both a and b