EE110B Lab2 in progress

% LAB 2

% TASK 1

    % Create a random sequence.
    x = randi(10,1,100);

    % Part (a)
    n = 1:101;
    h1 = 0.9.^(n-1);
    h2 = [0,ones(1,99),0];
    h = h1.*h2;
    y1a = conv(h,x);
    stem(y1a)

    % Part (b)
    y1b = zeros(1,101);
    y1b(1)=0;
    for i = 1:100
        y1b(i+1)=y1b(i)+x(i);
    end
    stem(y1b)

    % Part (c)
    % No code needed. Discuss results.

% TASK 2

    % Create a new random sequence.
    x = randi(10,1,101);

    % Part (a)
    n = 1:101;
    h1 = (0.9.^(n-1)).*cos((pi/5)*(n-1));
    h2 = [0,ones(1,99),0];
    h = h1.*h2;
    y2a = conv(h,x);
    stem(y2a)

    % Part (b)
    y2b = zeros(1,102);
    y2b(1)=0;
    y2b(2)=0;
    for i = 1:100
        y2b(i+2)=(1.8).*cos(pi/5).*y2b(i+1) - 0.81.*y(i) + x(i+1) - (0.9).*cos(pi/5).*x(i);
    end
    stem(y2b)

% TASK 3

    % Sequence (a)
    h1a = 0.9.^(n-1);
    h2a = [0,ones(1,99),0];
    ha = h1a.*h2a;

    % Sequence (b)