4. Impulse response is hin] = ()"u[n] input r[m] = "cos"(un] |
When applied, obtain the output y[n] using a z-conversion. (20
points)
4. Impulse response is hin] = ()"u[n] input r[m] = "cos"(un] | When applied, obtain the...
We have a L.TID system with the impulse function hin] (+m].If we know that the steady response is 2cos(n) when the input is cos(n).Compute the values of a' and 'b' We have a L.TID system with the impulse function hin] (+m].If we know that the steady response is 2cos(n) when the input is cos(n).Compute the values of a' and 'b'
system with impulse response hn ! = un- x[n] = u[n]-u[n-4]. Compute Y(z) X(z)H(z) and use Y(z) to compute y[n].
4. The impulse response of a system is given by h[n]=(0.3)"u[n]. If the input to the system is x[r]=(-0.6)" u [n], giving an output of y[n]=[n]*x[n]: a. (5 pts) Find the spectrum of the output, Y(e/2/). b. (10 pts) Use partial fraction decomposition to rewrite Y (e/2*) as a sum of two terms then take the inverse DTFT to find the output, y[n]
(20 pts.) Determine the output sequence of the system with impulse response h[n] 6. u[n] when the input signal is x[n] = 2e-n + sin(nn)- 2, -co <n< 0o. 7. (20 pts.) Determine the response of the system described by the difference equation 1 1 y(n)y(n1)n2)x(n 8 7 for input signal x(n) u(n) under the following initial conditions 1, y(-2) 0.5 y(-1) (20 pts.) Determine the output sequence of the system with impulse response h[n] 6. u[n] when the input...
1. An LTI digital system with impulse response h[n] = 2(1/4)"u[n] produces an output y[n] = (-3)"u[n]. Determine the corresponding input x[n] using Z-transform. (30 points)
did i do ‘a’ correctly? and how do you do ‘b’, ‘c’, and ‘d’? Prob. 2 A DT system with real-valued impulse response hin), has the following magnitude and phase responses. Note that since hin] R, IH(e) H(eo) and H(e)H(e-) (a) From the graphs, fill in the table below. Express the frequency response in polar form, Hea ZH(e) Cu -2 633 -1032 π/8 ~ 0.4 1.2 60 03 1.5 r/2x 1.6 6.4I66 6s Prob. 2 (cont.) (b) Suppose the input...
5 pts D Question 1 A system has the following impulse response: .2 Sample number, n From the choices below, select the frequency response of this system. H (eju)-e(1.5 ) (2 sin( 1.5ώ) + 4 sin(0.δώ)) H (ee) = e-j(1.5e-5) (cos( 1.5 ) +2 cos(0.54)) @ H (ee)-e-n1.si) (sin( 1.54) t. 2 sin(0.δώ)) (sin(l.50) +4sin(0.0) H (ee)-e-j(1.5i) (2 cos( 1.5ώ) + 4 cos(0.5a)) H (efo)-e-n1.5u) (cos( 1.50) + 2 cos(0.50)) https://rmitinstructure.comcoursesy 5 pts DQuestion 2 A system has the following...
CONVOLUTION - Questions 4 and 5 4. Consider an LTI system with an impulse response h(n) = [1 2 1] for 0 <n<2. If the input to the system is x(n) = u(n)-un-2) where u(n) is the unit-step, calculate the output of the system y(n) analytically. Check your answer using the "conv" function in MATLAB. 5. Consider an LTI system with an impulse response h(n) = u(n) where u(n) is the unit-step. (a) If the input to the system is...
6. [10!] An LTI system has an impulse response hin] for which the z-transform is Homework#6, Ve216 Spring 2018 ue (a) [5] Plot the pole-zero pattern for H(z). (b) [5!] Using the fact that signals of the form 2" are eigenfunctions of LTI systems, determin the system output for all n if the input r[n] is
The impulse response of a filter is h[n] - (-0.75)"(u[n-1) -un-4]). What is the transfer function of the filter?