MATLAB TUTORIALS-3

TO PLOT DIFFERENT TYPES OF THE FINITE SEQUENCE SIGNAL IN MATLAB:

TYPES OF SEQUENCES
We use several elementary sequences in digital signal processing for analysis
purposes. Their definitions and MATLAB representations follow.

1. Unit sample sequence:

In MATLAB the function zeros(1,N) generates a row vector of N
zeros, which can be used to implement δ(n) over a finite interval. However,
the logical relation n==0 is an elegant way of implementing δ(n).
For example, to implement

over the n1 ≤n0 ≤n2 interval, we will use the following MATLAB
function

used the following code to generate the delta function in the MATLAB.

function [x,n] = impseq(n0,n1,n2)

% Generates x(n) = delta(n-n0); n1 <= n <= n2
% ----------------------------------------------
% [x,n] = impseq(n0,n1,n2)
%
n = [n1:n2]; x = [(n-n0) == 0];
stem(n,x);

2. Unit step sequence:

In MATLAB the function ones(1,N) generates a row vector of N ones.
It can be used to generate u(n) over a finite interval. Once again an
elegant approach is to use the logical relation n>=0. To implement

over the n1 ≤n0 ≤n2 interval, we will use the following MATLAB
function.

function [x,n] = stepseq(n0,n1,n2)
% Generates x(n) = u(n-n0); n1 <= n <= n2
% ------------------------------------------
% [x,n] = stepseq(n0,n1,n2)
%
n = [n1:n2]; x = [(n-n0) >= 0];

stem(n,x);