Write a MATLAB program to determine the response of the following system

Write a MATLAB program to determine the response of the following system

y(n) = 4.5x(n) + ay(n-1)

where a = 0.5 and the input signal x(n) is sinewave, x(n) = 3sin (2*pie*0.2n) Assume zero initial condition, y(-1) = 0. Plot y(n) for n= 1,2,.....200

Answer 1

[Kian Azami]

I think you can use the following code:

a = 0.5;
for n=1:200
  x(n) = 3*sin(2*pi*0.2*n);
  if n == 1
      y(n) = 4.5*x(n);
  else
      y(n) = 4.5*x(n)+a*y(n-1);

    end
end

figure
plot(y,'marker','.','markersize',10)
xlabel('n')
ylabel('y(n)')