2) The system function of a filter at rest (zero initial conditions) is 1 +0.9z-1 1-...
2. Determine the filter order of the following filter: y[n]=x[n]+0.4x[n-1)-0.5x[n-2]+0.7x[n-9] -ly[n–1]+0.3y[n-2]-0.7y[n–3]+1.5y[n–4] -0.7y[n–5]
2. A discrete time LTI system is described by the difference equation (assume initial conditions are zero) y[n] + y[n – 1] = x[n] + 1/4x[n – 1] – 1/8x[n – 2] a) Find the transfer function of the system H(z). b) If you take the inverse of the transfer function (1/H(z)), is the system stable? Prove yes or no.
Styles Paragraph 6. Given the difference equation y(n)-x(n-1)-0.75y(n-1)-0.125(n-2) a. Use MATLAB function filterl) and filticl) to calculate the system response y(n)for n 0, 1, 2, 3, 4 with the input of x(n (0.5) u(n)and initial conditions x(-1)--1, y(-2) -2, and y(-1)-1 b. Use MATLAB function filter!) to calculate the system response y(n) for n-0, 1, 2, 3,4 with the input of x(n) (0.5)"u(n)and zero initial conditions x(-1)-0, (-2)-0, and y(-1)-0 Design a 5-tap FIR low pass filter with a cutoff...
a. b. c. d. An IIR filter has the difference equation: y'n Select the correct transfer function for this system from the selections below. 2+1.2 No transfer function exists for this system. H(0.5+1.2Y(2)21 2+0.5 H(2)220.5z +1.2 An IIR filter has the transfer function: H(z) 22 +0.92-0.14 Select the correct impulse response for this system from the selections below hn 2(0.2)n-1un - 1] - 2(0.7)n-uln - 1 -hin] = 2(-0.2)"u[n]-2(-0.7)"u[n] hin] = 2(-0.2)"-iuln-11-2(-0.7)"-1 u[n-1] No impulse response exists for this system....
3. A digital filter is described by the difference equation where u[n] represents the unit step sequence. The initial conditions of the system are y[-1] = 0 and y[-2] = 1. (a) Draw a block diagram implementation of the above system. (b) Determine the output y[n] (c) Determine the zero-input solution. (d) Determine the zero-state solution. (e) Is the system stable? Justify your answer
Use the Z-transform to find the general solution (zero-input and zero-state) for the following linear recursive difference equation written in advanced form: y[n+2] +3y[n+1]+2y[n] = 2x[n+2] A. Use the Z-transform to find the zero-input solution with initial conditions: y[-2]=2, and y(-1)=3 B. Use the Z-transform to find the zero-state solution if the source function is given by, x[n]=3" u[n] C. Write the general solution to the linear recursive difference equation D. Use the Z-transform to find the transfer function (H(z))...
Let a DT system described by the following difference equation: y[n]-5/6y[n-1]-1/6y[n-2]=1/6x[n-1] Find the zero input and zero state responses of this system for n≥0 assuming that the input s x[n]=2^nu[n] and the initial conditions y[-1]=1 and y[-2]=2.
Please put the final answers ina square. Thanks! The system function of a certain filter is 1- z-1 1+0.8z-1 H(z) - a) Is this filter causal? Answer: Yes No circle one b) Give the Poles and Zeros of the System: Answer: Poles rope c) Give the unit-sample response (the system has zero initial conditions) Answer: hn]- d) Give the unit-step response of the system at rest using the Z-Transform.That is, the output of the system when the input is a...
are integers and 91 and 92 are 5. Consider the system diagram show in Fig. 2 for a digital filter. Assume N and M real-valued. (a) Use the diagram to write the difference equation that relates the input to the output. And use the difference equation to write the transfer function for the filter. No Matlab needed. (b) Assume N = 3, M = 5, 91 = 0.5 and 92 = 0.9. Write a Matlab function (call it "ece125filter”) that...
Please show detailed steps, thank you! 1. The transfer function of a BIBO stable discrete system is given as H(z) = In((1-1.2z-1)(1-0.9z-1)) (a) Find h(n). (b) Find the ROC for H(z). (c) Find the pole-zero location for the system W(z) = dH(z) 2an (d) If x(n)-2 cos(EN, } 3 r(n-6), goes through the H(z) system above, find y(n).