Differential Equation Representing an LTI System

Algorithm

In general, any difference equation is represented as: y(n)+a₁y(n-1)+a₂y(n-2)+......=b0x(n)+b1x(n-1)+........

1. Input the coefficients of x(n)
2. Input the coefficients of y(n)
3. Input the sequence x(n)
4. Find the solution of the equation using MATLAB command "filter(b,a,x)" where b is the coefficients of x(n),a is the coefficients of the y(n) and x is the input sequence x(n)
5. Display the solution

Program

% program to solve a given differential equation which represents an LTI system

b=input('Enter the coefficients of x(n)');

a=input('Enter the coefficients of y(n)');

x=input('Enter the input sequence x(n)');

y=filter(b,a,x); % solve the given equation

disp(y); %display the solution