MATLAB code is given below in bold letters.
clc;
close all;
clear all;
% define n
n = 0 : 69;
% define the filter h[n] as follows
h = 32/63*[1 1/2 1/4 1/8 1/16 1/32];
% define the input x[n]
x = 5*sin(n*pi/10+pi/4);
% compute y[n] using filter command
y = filter(h,1,x);
% plot the output
figure;
stem(n,y,'fill');grid on;
xlabel('n');title('y[n]');
Consider the system given by the input/output relationship 1.14. 32 1 2] n31+ 1 63 4...
5) An N-point moving-average (running-average) system has the following input-output relation ship: N-1 a) Is the N-point moving-average system causal? b) Obtain the expression for the impulse response h[n] and sketch hin. c) Given the input sequence [n] below with 100 elements where the values of the index n change between 0 and 99: r-[21 22 22 21 18 19 21 20 19 23 23 22 23 25 27 30 31.5 32 33 32 28 29 28 29 30 32...
5.16. Given the following difference equation with the input-output relationship of a certain initially relaxed system (all initial conditions are zero), y(n)-0.6y(n - 1+0.25y(n - 2) -x(n) +x(n- 1) a. find the impulse response sequence y(n) due to the impulse sequence o(n): b. find the output response of the system when the unit step function u(n is applied
Mouzey bighalsledsystems tionne 907 octet Acone s ona 27/0 y the 13. The input-output relationship of an LTI system is deseribed by the difference squation: n]+0.5y[n-1]-xn], Try to figure out two possible unit impulse responses for such a system. Then state which unit impulse response comresponding to tomer les modules com a stable system. 2, b) x,(2)=z" +62 452 | > 1 14) Find the inverse z-transform of the following signals a) X(E)(-2 XI-2) :-5 c) X2(E)-0.5:)1-0.5 )0. <2 15....
Name: 10. [8 points] Consider a discrete-time LTI system with input x[n] and out- put y[n]. When the input signal x[n] = (6)" is applied to the system, the output signal is y[n] = 0 for all n When the input signal xn] (3)" u[n] is applied to the system, the output signal is y[n] = A 8[n] + 2 (5)" u[n] for all n, where A is a constant number a) Find A. b) Find the impulse response of...
Consider the system shown, with mi·m2·1kg, k1" 4 N/m.k2" 1 N/m. and damping proportional to stiffness according to [C]·0.01 [K]. The force is given by f-4 sin(2t) N. The following MATLAB session was completed to determine the steady-state responses for this case. Based on the MATLAB input and output, choose the correct expression for the steady-state response (x1ss Of course, ">>" is the MATLAB prompt. >> m= [ 1 0:0 1]; >- [O Fo] xbar- -0.994840.0595631 -1.0012-0.0198971 >> abs (xbar)...
Question 1-4 is about the following mechanical system: Data: ki-20 [N/m] b-2 [Ns/m] k2# 10 [N/m] m2 At) mi Question 1 X1(s) Develop the symbolic transfer function G1(s)2 F(s) 1.1 Determine the differential equation, that this transfer function describe 1.2 Question 2 Sketch the step response for G1(s), using Matlab and explain the process 2.1 Sketch the pole /zero diagram for the transfer function G1(s) and reflect on the relation between the step response and the pole /zero diagram 2.2...
(2) Consider the causal discrete-time LTI system with an input r (n) and an output y(n) as shown in Figure 1, where K 6 (constant), system #1 is described by its impulse response: h(n) = -36(n) + 0.48(n- 1)+8.26(n-2), and system # 2 has the difference equation given by: y(n)+0.1y(n-1)+0.3y(n-2)- 2a(n). (a) Determine the corresponding difference equation of the system #1. Hence, write its fre- quency response. (b) Find the frequency response of system #2. 1 system #1 system #2...
Question 2 (a) Determine whether the discrete time system which has an output y[n] 2*x[n] over the nterval 010 is linear or not by determining the response yi[n] to the input signalxj[n]- sin( (2*pi / 10 ) * n ) and the response y2[n] to the input signal x2[n] = cos( (2*pi/10 ) * n ). Determine the response y3[n] to the input signal x1n] = xi [n] + x2[n] and compare it with y4[n] = [n] + y2[n] ....
Problem # 1 (b): Obtain a mathematical model of the system shown below. Problem1: Consider the system shown below which is at rest for t<0. Assume the displacement x is the output of the system and is measured from the equilibrium position. Att-0, the cart is given initial conditions x(0)- xo and dx(0ydt v Obtain the output motion x0)Assume that m-10 kg, b-50 N-s/m, b-70 N-sm, -400 N/m, k2- 600 N/m. da diagam c.rditinstoo)20 추dx(Hat20.5m/s inilia) Problem12i Referring to Problem...