(MATLAB) Consider the following DT system y(n)-y(n-1)-y(n-2)=1/2x(n)+1/2x(n-1) to determine and plot the the response to the input x(n)=u(n), with initials y(-2)=1 & y(-1)=0.
MATLAB:
clc;close all;clear all;
b=[1/2 1/2]
a=[1 -1 -1]
n=0:1:50
x=(n>=0)
yi=[0 1]
xi=0
y=filter(b,a,x,filtic(b,a,yi,xi))
subplot(211)
stem(n,x,'r')
xlabel('n')
ylabel('x(n)')
title('Input x(n) =u(n)')
subplot(212)
stem(n,y,'b')
xlabel('n')
ylabel('y(n)')
title('Output y(n)')

(MATLAB) Consider the following DT system y(n)-y(n-1)-y(n-2)=1/2x(n)+1/2x(n-1) to determine and plot the the response to the...
Consider the system:y[n]-0.5y[n-1]-0.25y[n-2]=x[n]+2x[n-1]+x[n-2] • Plot, using MATLAB, the impulse and step responses of the system. Highlight the response characteristics in your plots • Assume initial conditions y(-1) = 1, y(-2) = 0 and that the input signal to the system is a discrete-time unit step. Determine the formula for the Z-transform of the solution, Y(z). Subsequently, determine the formula for the solution, y[n], itself.
Please solve this in Matlab
Consider the initial value problem dx -2x+y dt x(0) m, y(0) = = n. dy = -y dt 1. Draw a direction field for the system. 2. Determine the type of the equilibrium point at the origin 3. Use dsolve to solve the IVP in terms of mand n 4. Find all straight-line solutions 5. Plot the straight-line solutions together with the solutions with initial conditions (m, n) = (2, 1), (1,-2), 2,2), (-2,0)
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...
2) An LTI DT system is defined by the difference equation: y[n] = -0.4yIn - 1] + x[n]. a) Derive the impulse response of the system. (2 pt) b) Determine if the system is BIBO stable. (1 pt) c) Assuming initial conditions yl-1) = 1, derive the complete system response to an input x[n] = u[n] - u[n-2), for n > 0.(2 pt) d) Derive the zero-state system response to an input z[n] = u[n] - 2u[n - 2] +...
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...
I need help with this MATLAB exercise.
The given system is y[n] - (3/10)y[n-1] - (1/10)y[n-2] =
2x[n]
The input x[n] is 2cos(2*pi*n/6)(u[n] - u[n-10])
Don't have to answer part 2 of the question.
Zero-state response of a system can be found by using convolution of the input signal and unit impulse response: Use conv command from MATLAB to compute the zero-state response of the system defined in part B to the input x[n] in part C. 1. 2. 3....
Determine and plot the output response of a DT system described by the difference equation if the input is given as x[n]= δ[n-1].
Consider a DT system with input x[n] and output y[n] described
by the difference equation 4y[n+1]+y[n-1]=8x[n+1]+8x[n]
73 Consider a DT system with input xin and output yin] described by the difference equation (a) What is the order of this system? (b) Determine the characteristic mode(s) of the system (c) Determine a closed-form expression for the system's impulse response hln].
73 Consider a DT system with input xin and output yin] described by the difference equation (a) What is the order...
Question 2. Consider the DT system described by the difference equation y[n] - 0.2y[n-1]xIn-1] Determine directly yl-1]-1. in the time domain its zero-input response for the initial value of
Question 2. Consider the DT system described by the difference equation y[n] - 0.2y[n-1]xIn-1] Determine directly yl-1]-1. in the time domain its zero-input response for the initial value of
please matlab code result is important
5. Consider a system with a cascade connection of two causal LTI systems: • Frequency response of the first system is H, (e) 1-2 and The impulse response of the second system is h, [n] = 5()'u[n] The input to the system is x[n], the output of the first system is w[n) and the output of the overall (complete) system is yn). a. Find the difference equation relating i. The input x[n) to the...