ECE 34- LAB 4.0
Code:
function linear_convol(x, h)
y = convol(x, h);
L = 0:(length(x)-1);
M = 0:(length(h)-1);
N = 0:(length(y)-1);
printf('\nResult of linear convolution:\n');
disp(y);
// Plot x[n], h[n], and y[n]
clf;
subplot(3, 1, 1);
title('Input Signal x[n]');
xlabel('n');
ylabel('x[n]');
plot(L, x, 'b-', 'linewidth', 2, 'Marker', 'o');
plot([L; L], [zeros(1, length(x)); x], 'b--');
plot([0, length(y)-1], [0, 0], 'k-');
subplot(3, 1, 2);
plot(M, h, 'r-', 'linewidth', 2, 'Marker', 'o');
plot([M; M], [zeros(1, length(h)); h], 'r--');
plot([0, length(y)-1], [0, 0], 'k-');
title('System Function h[n]');
xlabel('n');
ylabel('h[n]');
subplot(3, 1, 3);
plot(N, y, 'g-', 'linewidth', 2, 'Marker', 'o');
plot([N; N], [zeros(1, length(y)); y], 'g--');
plot([0, length(y)-1], [0, 0], 'k-');
title('Linear Convolution x[n]*h[n]');
xlabel('n');
ylabel('y[n]');endfunction
Figure (a) LAB 4.0
Figure (b) LAB 4.0
Figure (c) LAB 4.0
ECE 34- LAB 4.1
Code:
function linear_convol(x, h)
y = convol(x, h);
L = 0:(length(x)-1);
M = 0:(length(h)-1);
N = 0:(length(y)-1);
printf('\nResult of linear convolution:\n');
disp(y);
// Plot x[n], h[n], and y[n]
clf;
subplot(3, 1, 1);
title('Input Signal x[n]');
xlabel('n');
ylabel('x[n]');
plot(L, x, 'b-', 'linewidth', 2, 'Marker', 'o');
plot([L; L], [zeros(1, length(x)); x], 'b--');
plot([0, length(y)-1], [0, 0], 'k-');
subplot(3, 1, 2);
plot(M, h, 'r-', 'linewidth', 2, 'Marker', 'o');
plot([M; M], [zeros(1, length(h)); h], 'r--');
plot([0, length(y)-1], [0, 0], 'k-');
title('System Function h[n]');
xlabel('n');
ylabel('h[n]');
subplot(3, 1, 3);
plot(N, y, 'g-', 'linewidth', 2, 'Marker', 'o');
plot([N; N], [zeros(1, length(y)); y], 'g--');
plot([0, length(y)-1], [0, 0], 'k-');
title('Linear Convolution x[n]*h[n]');
xlabel('n');
ylabel('y[n]');endfunction
function [result]=custom_mod(a, b)
result = a - b * floor(a / b);endfunction
Figure (a) LAB 4.1
Figure (b) LAB 4.1
Figure (c) LAB 4.1
ECE 34- LAB 4.2
Code:
function autocorrelation(x)
x_reversed = x(length(x):-1:1);
y = convol(x, x_reversed);
L = 0:length(x)-1;
M = 1:length(x);
N = 0:length(y)-1;
printf('\nResult of autocorrelation:\n');
disp(y);
// Plot x[n], x[n -1], and y[n]
clf;
subplot(3, 1, 1);
plot(L, x, 'b-', 'linewidth', 2, 'Marker', 'o');
plot([L; L], [zeros(1, length(x)); x], 'b--');
plot([min(L), max(L)], [0, 0], 'k-');
title('Input Signal x[n]');
xlabel('n');
ylabel('x[n]');
subplot(3, 1, 2);
plot(M, x, 'r-', 'linewidth', 2, 'Marker', 'o');
plot([M; M], [zeros(1, length(x)); x], 'r--');
plot([min(L), max(L)], [0, 0], 'k-');
title('Delayed Version of x[n]');
xlabel('n');
ylabel('x[n-n_d]');
subplot(3, 1, 3);
plot(N, y, 'g-', 'linewidth', 2, 'Marker', 'o');
plot([min(N), max(N)], [0, 0], 'k-');
plot([N; N], [zeros(1, length(y)); y], 'g--');
title('Autocorrelation of x[n]');
xlabel('n');
ylabel('y[n]');endfunction
Figure (a) LAB 4.2
Figure (b) LAB 4.2
Figure (c) LAB 4.2
=====================================================================
ECE 34- LAB 4.3
Code:
function cross_correlation(x, h)
h_reversed = h(length(h):-1:1);y = convol(x, h_reversed);
L = 0:(length(x)-1);
M = 0:(length(h)-1);
N = 0:(length(y)-1);
printf('\nResult of cross-correlation:\n');
disp(y);
// Plot x[n], h[n], and y[n]
clf;
subplot(3, 1, 1);
plot(L, x, 'b-', 'linewidth', 2, 'Marker', 'o');
plot([L; L], [zeros(1, length(x)); x], 'b--');
plot([0, length(x)-1], [0, 0], 'k-');
title('Input Signal x[n]');
xlabel('n');
ylabel('x[n]');
subplot(3, 1, 2);
plot(M, h, 'r-', 'linewidth', 2, 'Marker', 'o');
plot([M; M], [zeros(1, length(h)); h], 'r--');
plot([0, length(h)-1], [0, 0], 'k-');
title('System Function h[n]');
xlabel('n');
ylabel('h[n]');
subplot(3, 1, 3);
plot(N, y, 'g-', 'linewidth', 2, 'Marker', 'o');
plot([N; N], [zeros(1, length(y)); y], 'g--');
plot([0, length(y)-1], [0, 0], 'k-');
title('Cross-Correlation of x[n] and h[n]');
xlabel('n');
ylabel('y[n]');endfunction
Figure (a) LAB 4.3
Figure (b) LAB 4.3
Figure (c) LAB 4.3