Continuous Time Convolution MCQ

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

• It does not matter which one we shift, the input signal or the unit impulse response of a system during linear convolution in an integral.
  ক

  True

  খ

  False
• Continuous time convolution is done from negative infinity to positive infinity.
  ক

  True

  খ

  False
• After converting the input and output to a dummy variable, the next step of convolution is ________
  ক

  Shifting any one of the signals to left side i.e towards the negative direction

  খ

  Changing the dummy variables

  গ

  Shift the impulse response

  ঘ

  Shift the input
• When are dummy variables used in continuous time convolution?
  ক

  To change the limits of integration

  খ

  To change the domain of integration

  গ

  To substitute time analysis

  ঘ

  To substitute frequency analysis
• What is a dummy variable?
  ক

  Unused variable

  খ

  Extra variable

  গ

  Free variable

  ঘ

  Something that is used to store extra numbers
• Why is a linear time invariant systems important?
  ক

  They can be structured as wanted

  খ

  They can be molded in any domain

  গ

  They are easy to define

  ঘ

  They can be represented as a linear combination of signals
• Choose the properties which are very important in case of LTI signals and systems?
  ক

  Linearity and time invariance

  খ

  Linearity and stability

  গ

  Stability and invariance

  ঘ

  Linearity and causality
• Convolution is considered in case of ________
  ক

  Discrete time systems only

  খ

  Continuous time only

  গ

  In both continuous time and discrete time

  ঘ

  Superposition of various outputs
• Convolution leads to loss of signals.
  ক

  True

  খ

  False
• What is the difference between convolution and multiplication?
  ক

  Convolution leads to addition and multiplication leads to the multiplication

  খ

  Convolution leads to a superposition of signals while multiplication does not consider all the signals

  গ

  Convolution is multiplication but of signals

  ঘ

  Convolution is a multiplication of added signals.
• The Convolution of the continuous functions f(t)=e-t2 and g(t)=3t2 is 5.312t2.
  ক

  True

  খ

  False
• How do you define convolution?
  ক

  Weighted superposition of time shifted responses

  খ

  Addition of responses of an input signal

  গ

  Multiplication or various shifted responses of a stable system

  ঘ

  Superposition of various outputs
• How are the convolution integral of signals represented?
  ক

  x(t)+h(t)

  খ

  x(t)-h(t)

  গ

  x(t)*h(t)

  ঘ

  x(t)**h(t)
• What is a unit impulse response?
  ক

  The output of a linear system

  খ

  The response of an invariant system

  গ

  The output of an LTI system due to unit Impulse signal

  ঘ

  The output of an input response signal
• What is the full form of the LTI system?
  ক

  Linear time inverse system

  খ

  Late time inverse system

  গ

  Linearity times invariant system

  ঘ

  Linear Time Invariant system
• What is a circular or cyclic convolution?
  ক

  Convolution of a periodic and continuous time function

  খ

  Convolution of a periodic and discrete time function

  গ

  Superposition of periodic and periodic function

  ঘ

  Summation of continuous time and a convolution of a periodic function convolution
• What is periodic convolution?
  ক

  Continuous type superposition

  খ

  Periodic type summation

  গ

  Discrete type addition

  ঘ

  Summation of both continuous and periodic type
• Who started the Convolution theorem?
  ক

  Sylvestre François Lacroix

  খ

  Vito Volterra

  গ

  Pierre Simon Laplace

  ঘ

  D’Alembert
• If h1, h2 and h3 are cascaded, and h1 = u(t), h2 = exp(t) and h3 = sin(t), find the overall impulse response
  ক

  sin(t)*exp(t)*u(t)

  খ

  sin(t) + exp(t) + u(t)

  গ

  u(t)*sin(t)

  ঘ

  all of the mentioned
• If h1, h2 and h3 are parallelly summed, find the overall impulse response
  ক

  h1 + h2 + h3

  খ

  h1 – h2 + h3

  গ

  h1*h2*h3

  ঘ

  all of the mentioned
• If h1, h2 and h3 are cascaded, and h1 = u(t+4), h2 = d(t-3) and h3 = d(t-5), find the overall impulse response
  ক

  u(t-4)

  খ

  u(t-6)

  গ

  u(t-8)

  ঘ

  all of the mentioned
• If h1, h2 and h3 are cascaded, and h1 = u(t), h2 = d(t) and h3 = d(t), find the overall impulse response
  ক

  s(t)

  খ

  d(t)

  গ

  u(t)

  ঘ

  all of the mentioned
• Find the value of * x.
  ক

  * x. ] x(t+3) – x(t+2)

  খ

  d(t-3) – d(t-1)

  গ

  d(t-3) – d(t-1)

  ঘ

  d(t-3) – d(t-1)
• If h1, h2 and h3 are cascaded, find the overall impulse response
  ক

  h1 * h2 * h3

  খ

  h1 + h2 + h3

  গ

  h3

  ঘ

  all of the mentioned
• Find the value of * -x.
  ক

  * -x. ] x(t+1) – x(t)

  খ

  d(t) – d(t-1)

  গ

  d(t) – d(t-1)

  ঘ

  d(t) – d(t-1)
• Find x(t)*u(t)
  ক

  tx(t)

  খ

  t2x(t)

  গ

  $x(t2)

  ঘ

  $x(t)
• Find the value of d(t-34)*x(t+56), d(t) being the delta function.
  ক

  x(t + 56)

  খ

  x(t + 32)

  গ

  x(t + 22)

  ঘ

  x(t – 22)
• Find the convolution of x(t) = exp(3t)u(-t), and h(t) = u(t-3)
  ক

  0.33exp(2t-6) u(-t+3) + 0.5u(t-3)

  খ

  0.5exp(4t-3) u(-t+3) + 0.8u(t-3)

  গ

  0.33exp(2t-6) u(-t+3) + 0.5u(t-6)

  ঘ

  0.33exp(3t-6) u(-t+3) + 0.33u(t-3)
• Find the convolution of x(t) = exp(2t)u(-t), and h(t) = u(t-3)
  ক

  0.5exp(2t-6) u(-t+3) + 0.5u(t-3)

  খ

  0.5exp(2t-3) u(-t+3) + 0.8u(t-3)

  গ

  0.5exp(2t-6) u(-t+3) + 0.5u(t-6)

  ঘ

  0.5exp(2t-6) u(-t+3) + 0.8u(t-3)
• Evaluate (exp(-4t)u(t))*u(t), u(t) being the heaviside function.
  ক

  (1-exp(4t)) u(t)/a

  খ

  (1-exp(-4t)) u(t)/a

  গ

  (1-exp(=4t)) u(t)/a

  ঘ

  (1+exp(-4t)) u(t)/a