system with impulse response hn ! = un- x[n] = u[n]-u[n-4]. Compute Y(z) X(z)H(z) and use...
Consider a discrete-time LTI system with impulse response hn on-un-1), where jal < 1. Find the output y[n] of the system to the input x[n] = un +1].
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)
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...
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]
6) Consider a discrete-time LTI system with impulse response h[n] = response h[n] = ( 1) u[n]. Use Fourie transforms to determine the response of this system to the input x[n] = ml + un).
The impulse response of a filter is h[n] - (-0.75)"(u[n-1) -un-4]). What is the transfer function of the filter?
Find the impulse response of the system shown in Figure 1. Assume that h(n) = h (n) = /1n un) h3(n) = u(n) 11n haln) = (3) "un) mon) - mm hi(n) h2(n) x(n) y(n) ☺ - Helm von h₃ (n) han) Figure 1. The system.
Question 3) Given a system with an impulse response of: h(t) = te-2t(U(t)-U(t-4)). Use MATLAB to compute the output of the system with an input of: x(t)-3(U(t -2)-U(t - 5) Question 3) Given a system with an impulse response of: h(t) = te-2t(U(t)-U(t-4)). Use MATLAB to compute the output of the system with an input of: x(t)-3(U(t -2)-U(t - 5)
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. 임펄스 응답이 ha] = (ulnl인 이산 시불변 시스템에 입력 rin] =("cos(un] 이 인가될 때 출력 y[n]을 z-변환을 이용하여 구하시오. ( 20점)
(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...