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The convolution of f(t) with itself is given to be Then what is f(t)?
Which one of the following is the impulse response of the system whose step response is given as c(t) = 0.5(1 - e-2t) u(t)?
The unit impulse response of a linear time invariant system is the unit step function u(t) for t > 0, the response of the system to an excitation e-at u(t), a > 0 will be
A system with an input x(t) and output y(t) is described by the relation: y(t) = tx(t). This system is
If a function f(t) u(t) is shifted to the right side by t0, then the function can be expressed as
The impulse response of a causal, linear, time- invariant, continuous time system is h(t). The output y(t) of the same system to an input x(t). Where x(t) = 0 for t < -2 is
The unit step response of a system is given by (1 - eαt) u(t), the impulse response is given by
Figure I and Figure II, shows the input x(t) to a linear time invariant system and the impulse response h(t) of the system
the output of the system is zero everywhere except for the time interval.
Correct Option: C
Given x(t) and h(t) y(t) = x(t) * h(t)
y(t) =∞x(τ) h(t – τ)dτ– ∞
Thus, we conclude that the output of the system is zero everywhere except for the time interval.
1 < t < 5
A signal f(t) = cos8πt + 0.5cos4πt is instantaneously sampled. The maximum allowable value of sampling interval Ts in sec is
The impulse response. h[n] of a linear time invariant system is given by h[n] = u[n + 3] + u[n - 3] - 2u[n - 7], the above system is