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# Matlab Code for DSP – Introduction

Matlab provides a variety of commands that allow us to control the flow of commands in a program.

`Control Flow`

The most common construct is the if-elseif-else structure. Another common control flow construct is the for..end loop. It is simply an iteration loop that tells the computer to repeat some task a given number of times. The following example illustrates the concept:

`Example 1.`

Consider the following sum of sinusoidal functions. Use Matlab to generate samples of x(t) at the time instances 0:0.1:1.

First method: In this approach, we will compute each sinusoidal component in one step as a vector, using the time vector t=0:0.1:1 and then add all components using one for..end loop.

>> t=0:0.1:1;

>> xt=zeros(1,length(t));

>> for k=1:3

xt=xt+(1/k)*sin(2*pi*k*t);

>> end

We obtain the following:

xt =   0    1.3803    1.0490    0.4612    0.4293    0.0000   -0.4293   -0.4612   -1.0490   -1.3803   -0.0000

Second method: In this approach, we will use matrix-vector multiplication. We will see how efficient could be Matlab by this way. For the purpose of demostration, consider only four values for t:

Which can be written in matrix form as:

After taking transposition:

Thus, the Matlab code is:

>> t=0:0.1:1; k=1:3;

>> xt=(1./k)*sin(2*pi*k’*t)

We obtain:

xt =   0    1.3803    1.0490    0.4612    0.4293    0.0000   -0.4293   -0.4612   -1.0490   -1.3803   -0.0000

This is the most compact code and the most efficient execution in Matlab, especially when the number of sinusoidal terms is very large.

`Scripts and Functions`

In construction…

`Plotting`

In construction….

Source:

• Digital Signal Processing Using Matlab, 3erd ed

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