calculate the unit step response of a system with the difference equation
y[n]+1.5y[n-2]=x[n]-x[n-1], y[-1]=2 ,y[-2]=1
which one of these choose
a)0.5(-0.5)^n-3(-1)^n
b)0.75(-0.5)^n-2(-1)^n
c)0.5(-0.25)^n-3(-1.5)^n
d) 1(-0.5)^n-3(-1)^n
calculate the unit step response of a system with the difference equation y[n]+1.5y[n-2]=x[n]-x[n-1], y[-1]=2 ,y[-2]=1 which...
calculate the unit step response of a system with the difference equation y[n]+1.5y[n-2]=x[n]-x[n-1], y[-1]=2 ,y[-2]=1
2. A system is described by the following difference equation n]1.5y[n0.56y[n -2]+x{n-0.2x{n-] a) Find the transfer function of the system b) Let xn]un]. Compute an analytical expression for the response y[n]. Use Matlab to calculate the coefficients c) Simulate and plot the response using Matlab.(stem plot) Generate 50 points. (Matlab: x ones(1,50)); 2. A system is described by the following difference equation n]1.5y[n0.56y[n -2]+x{n-0.2x{n-] a) Find the transfer function of the system b) Let xn]un]. Compute an analytical expression for...
(20 pts.) Determine the response of the system described by the difference equation 7. 1 1 y(n) yn 1)n2)x(n) n for input signal x(n) = (;) u(n) under the following initial conditions y(-1) 1, y-2) 0.5 (20 pts.) Determine the response of the system described by the difference equation 7. 1 1 y(n) yn 1)n2)x(n) n for input signal x(n) = (;) u(n) under the following initial conditions y(-1) 1, y-2) 0.5
For a system with the difference equation: y[n] = -2y[n-1] + x[n] + 2x[n-2], find a.The impulse response b.The step response
matlab please matlab please (4) Consider the system described by the following difference equation y(n)1.77y(n-1)-0.81y(n 2)a(n)- 0.5(n -1) (a) Assuming a unit-step input, and using a long enough section of the input constant output y(n) is observed for large n, hence plot the output and determine the value of this constant called G so that a Note: G, y(n) for n0o. (b) Determine and plot the transient response given by: n(n) = y(n)- Go (c) Find the energy of the...
A LTI system has the following difference equation: y(n)−0.2 y(n−1)+0.8 y(n−2)=2.2333 x(n)+ 2.5 x(n−1)+2.3333 x(n−2). As far as the stability is concerned, choose the right answer from the following list to identify system stability. A LTI system has the following difference equation: y(n)-0.2 y(n-1)+0.8 y(n-2)-2.2333 x(n)+ 2.5 x(n-1)+2.3333 x(n-2) As far as the stability is concerned, choose the right answer from the following list to identify system stability. A. Stable B. Marginally stable C.Unstable D. None
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...
1. A causal LTI system is implemented by the difference equation y(n) = 2r(n) - 0.5 y(n-1). (a) Find the frequency response H/(w) of the system. (b) Plot the pole-zero diagram of the system. Based on the pole zero diagram, roughly sketch the frequency response magnitude |H'(w). (c) Indicate on your sketch of H w , its exact values at w=0, 0.5, and . (d) Find the output signal y(n) produced by the input signal (n) = 3 + cos(0.5...
If the input to the system described by the difference equation y(n+1) (1/2)x(n+) -x(n) is a) Does it matter what are the initial conditions for nc0 in order to find y(n) for n20? Explain your b) x(n) -u(n) answer. (3 points). Determine the transfer function H(z) and the Frequency Response (H(est) (10 points). Find the amplitude lH(epT)I and the phase He*') as a function of co. Evaluate both for normalized frequency ω T=z/4. ( 10 points) c) Find the steady...
1. A difference equation is shown below. y(n)- -0.25 y(n-1)+ 0.125 y(n-2)+ x(n)+x(n-1) (a) Find the transfer function H(z) = Y(z)/ X(z) (b) Find Y(z) ifx(n) = (0.4)nu(n) (n=0,1,2,3, ) (c) If x(n) = y(n)-0 for all n < 0, calculate the values of y(0), y(1) and y(2) directly from the difference equation.