The impulse response h(t) of a linear invariant continuous time system is given by h(t) = exp (- 2t) u(t), where u(t) denotes the unit step function. The output of this system to the sinusoidal input x(t) = 2cos(2t) for all time t, is ?->(Show Answer!)

Question Set

1. The impulse response h(t) of a linear invariant continuous time system is given by h(t) = exp (- 2t) u(t), where u(t) denotes the unit step function. The output of this system to the sinusoidal input x(t) = 2cos(2t) for all time t, is

Ask Your Doubts Here

Comments

By: guest on 02 Jun 2017 12.55 am

When input is sinusoidal then output is also sinusoidal with same frequency but amplitude and phase changes. Thus amplitude is Phase is tan-1 = 0.25 p Thus y(t) = 2-0.5 cos(2t - 0.25p ).

Show Similar Question And Answers

QA->. `a` denotes x, `b` denotes, `c` denotes + and `d` denotes - then 8a3c24b12d19 = ?....

QA->A statement followed by two assumptions I and II is given. You have to consider the statement to be true even if it seems to be at variance from commonly known facts. You are to decide which of the given assumptions can definitely be drawn from the given statement. Indicate which one of the four given alternatives is correct ? Statement : If more encouragement is given to Sports, Indians will win more gold medals at the Olympic Games. Assumptions : I. Indians do not win gold medals. II. More enc....

QA->If function inside another function is called a _____ Function....

QA->Two statements are given followed by two conclusions I and II. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which one of the given conclusions is definitely drawn from the given statements. Statement : All virtuous persons are happy. No unhappy person is virtuous. Conclusions : I. Happiness is related to virtue II. Unhappy person is not virtuous.....

QA->Impulse of force?....

MCQ->The impulse response h(t) of a linear invariant continuous time system is given by h(t) = exp (- 2t) u(t), where u(t) denotes the unit step function. The output of this system to the sinusoidal input x(t) = 2cos(2t) for all time t, is....

MCQ->The impulse response h(t) of a linear time-invariant continuous time system is described by h(t) = exp (a t) u(t) + exp (βt) u (- t), where u(t) denotes the unit step function, and a and β are constants. This system is stable if....

MCQ->A linear time-invariant, causal continuous time system has a rational transfer function with simple poles at s = - 2 and s = - 4, and one simple zero at s = - 1. A unit step u(t) is applied at the input of the system. At steady state, the output has constant value of 1. The impulse response of this system is....

MCQ->The response of a linea, time invariant discrete time system to a unit step input ∪(n) is the unit impulse δ(n). The system response to a ramp input n ∪(n) would be....

MCQ->Assertion (A): The steady state response, of a stable, linear, time invariant system, to sinusoidal input depends on initial conditions. Reason (R): Frequency response, in steady state, is obtained by replacing s in the transfer function by jω

....

Terms And Service:We do not guarantee the accuracy of available data ..We Provide Information On Public Data.. Please consult an expert before using this data for commercial or personal use | Powered By:Omega Web Solutions
© 2002-2017 Omega Education PVT LTD...Privacy | Terms And Conditions Question ANSWER With Solution