y''t+10y't+16yt=3x(t)
For the system below find the impulse response. (16 points) y''t+10y't+16yt=3x(t)
3-(10 points) Consider a C-T. LTI system given below X(t) - h(t) y(t) The impulse response is h(t)=sinc(200t). We apply an input signal x(t)=sinc(100t) to produce the output y(t). Find and plot Y(m). Find y(t).
The input-output relationship for a system is ¨y(t) + ˙y(t) = x(t). (a) Find the impulse response of the system. (b) Find the zero-state response when the input is a unit step. (c) Find the zero-state response when the input is x(t) = 1.6u(t) − 0.6u(t − 1).
3. (20 points) A system has an impulse response given by h (t) sin (2t) rt (a) Find the frequency response function of this system H (w). (b) Find the frequency domain output Y (w) if the input to the system is z (t) cos (3t).
(1) For the impulse response (h(t)) and input signal (x(t)) of an LTI system shown below, find and plot the output response (y(t)) by integrating the convolution analytically h(t) x(t) t (s)
5. Find the unit impulse response of a system specified by the equation (D2 5D 6)y(t) (D2 7D 11)x(t)
Consider the LTI system with input ??(??) = ?? ?????(??) and the
impulse response ?(??) = ?? ?2????(??). A. (3 points) Determine
??(??) and ??(??) and the ROCs B. (3 points) Using the
convolutional property of the Laplace transform, determine ??(??),
the Laplace transform of the output, ??(??) C. (3 points) From the
answer of part B, find ??(??)
9 points) Consider the LTI system with input x(t)eu(t) and the impulse response h(t)-e-2u(t) A. 3 points) Determine X(s) and H(s)...
A system has an input, x(t) and an impulse response, h(t). Using
the convolution integral,
find and plot the system output, y(t), for the combination given
below.
x(t) is P3.2(e) and h(t) is P3.2(f).
1/2 cycle of 2 cos at -2. (e)
Question 6 (3 points) Find the unit impulse response of the following discrete-time system y[k + 1] + 2y[k] = f[k]
4- Find unit impulse response for: y(t) + 4у(t) + 3y(t)-x(t) + 5x(t) 5- Find the total response for: ý(t) 13(t) 22y(t)-(t) +5x(t) x(t) e-Stu(t) With the initial condition y(0) 2 and y(0)-3 Identify the natural and forced response of the system. 6- Find the total response for: y(t) +2y(t) 17y(t) 4x(t) 8x(t) x(t) = e-Hu(t)
0 for t<0 t-1 for 0sts2 16. The step response of a LTI system is given by y sep 1for 2sts3 0 for t 24 (a) Determine the impulse response of the system h() (b) Write the impulse response in terms of unit step functions.