Script:
clc;close all;clear all;
k=0:1:50;
%Initial values
x(1)=1;x(2)=2;
%Input
u=1.*(k>=0);
%using recursive method
for m=3:1:length(k)
%delayed difference equation
x(m)=(x(m-1)-0.25*x(m-2)+u(m));
end
figure;
stem(k,x);grid;
xlabel('n');ylabel('x(n)')
title('output x(n)')
Script2:
k=0:1:50;
%using filter command
b=1;a=[1 -1 0.25];
sys=tf(b,a);
x=filter(b,a,u);
figure;
stem(k,x);grid;
xlabel('n');ylabel('x(n)')
title('output x(n)')
MatLab only Problem B-2-17 Matlab only y Solve the following difference equation: x(k + 2) =...
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...
Practical 2: • A. Solve the following difference equations using the sequential method: y[k] – y[k – 1] = x[X] + x[k – 1] where x[k] = 0.8ku[k] and y-1) = 0. B. Plot the results for the range o sk s 20. • A. Solve the following difference equations using the z-transform: y[k] + 2.5y[k – 1] +y[k – 2] = x[k] + x[k – 1] where x[k] = 0.8ku[k]. B. Plot the results for the range o sk...
Solve using MATLAB (1) Consider the difference equation given follows as у(п) — — 0.9у(п - 1) — 0.81у(n — 2) + 1.62г(п) + 1.82(п — 1) + 2ar (п — 2), п > 0. Find and plot x(n) and y(n) and hence find the energy of y(n) for the following cases (а) 2(п) — 8(п — 2) (b) 2(п) — и(п) 6(п — 3) _ (с) г(п) — и(п)u(-п + 23) _ (d) x(n)r(n) - r(n - 25), where...
please solve then upload matlab code Thanks 1. The function f(z, y) (a-x)2 + b(y-12)2 is called Rosenbrock's banana function. It is often used as a benchmarking test for optimization algorithms becatse it is easy to find the minimum by hand but often very difficult to find numerically. Throughout the problem, we will use the values a = 2 and b 10. You can plot this function using the following code: x3:0.1:3; y = -10:0.2:10; Cx,Ymeshgrid(x,y); Z(2-X).2 10* (Y-X. 2)....
solve using matlab or by hand. For the following differential equation, answer the questions. -y"+y=x (0.0 SX 35.0) y(0.0)=1.0, y(5.0)= 2.0 (1) Solve the differential equation analytically. (2) Solve the differential equation using centered finite difference approximation of y" with a step size of 1.0 and check the accuracy of the solutions.
Please be neat and show all work. thank you. Given the difference equation, y(n) -y(n-2)-x(n);n 2 y(-1) 1, y(-2)0, and the input x(n) a) yh (n), p (n) and hence y (n) b) yzi (n), ½,( ) 1. 0, and the initial conditions as u(n), determine n) and hence v n Given the difference equation, y(n) -y(n-2)-x(n);n 2 y(-1) 1, y(-2)0, and the input x(n) a) yh (n), p (n) and hence y (n) b) yzi (n), ½,( ) 1....
using matlab to solve this problem as soon as possible thanks use matlab to slove the problem as soon as possible solve the activity of number 1&2&3 by using matlab for this problem i need from you to solve activity one and two and three by using matlab DIRECTIONS: Perform the following using MATLAB. After the simulation, your report must be uploaded in the Moodle Learning system. ACTIVITY I. VECTORS AND ITS OPERATIONS Procedure 1: Define two vectors a and...
4. (20 points) Use z-transform to solve the difference equation y(k) -1.5y(k-1) + 0.56y(k-2) = x(k) for k> 0 with initial conditions y(-1) = 3, y(-2)=-4, and x(k)= kļu(k).
Solve using MAT-LAB codes: A. Solve the following difference equations using the sequential method: ylk] +1.5y[k-1]+0.5y[k-2] x[k]+ x[k-1] where 0.8 uk] and and y[-2] = y[ - 1] 0 xk] B. Plot the results for the range 0 s ks 20. Solve using MAT-LAB codes: A. Solve the following difference equations using the sequential method: ylk] +1.5y[k-1]+0.5y[k-2] x[k]+ x[k-1] where 0.8 uk] and and y[-2] = y[ - 1] 0 xk] B. Plot the results for the range 0 s...
Problem 2. For the following system described by the difference equation where y[-1-y[-2] = 0 and x[n] = 2u[n]: a. Draw a block diagram of this system using delays, multipliers, and adders b. Determine the impulse response of the system, h[n], and plot it in MATLAB for n = 0, 1, ,20. (Hint: use Euler's Formula to simplify) c. Is this system stable? d. Determine the initial conditioned repsonse, in. e. Find the total response of the system, yn nln....