# Simple Scrambler on MatLab.

1. Jun 13, 2010

### Gpaiva

Hello,

I'm trying to build a simple scrambler using matlab, as show on the picture below:

[PLAIN]http://img94.imageshack.us/img94/1381/blocks.jpg [Broken]

Its not in english, but I think anyone can understand it. The first filter is a high pass filter and the second is a low pass.
The idea is simple: if the input is m(t) the output is y(t), and if you input y(t) you recover m(t) as the output.

What I have tried to do is this (ill past the matlab code below): Import an wave file into matlab, multiply it by cos(2pifct), do a Fourier transform, filter it by "zeroing" the high frequency elements, do an Inverse Fourrier transform, multiply it by cos[2pi(fc+W)t], do a Fourrier transform, aply the second filter and finally do an Inverse Fourrier transform.

Here are the first lines on my code. Its already broken at this point because S1 is nothing but zeroes.

%--- Reads the wave and adds the channels, so I end up mono
m= M1(:,1) + M1(:,2);
kk=size(m) ; k=kk(1);

t=(0:(k-1))/FS; % A vector with the instants of time when there
% was sampling

fc = 500000; %-- I chose fc 500 KHz.
A = 1; %-- I chose A 1.

%-- Multiply m(t) by cos(2pifct), as show on the block diagram.
s1 = m'.*(1*cos(2*pi*fc*t));

%-- S1 is the Fourrier transform of s1.
S1= fft(s1);

%--- Calculates the size of s1
tt = size(s1); t=tt(2);

w=[(-t/2)+1 : t/2]; %-- Auxiliar vetor, to help calculate Freqs

Freqs = w' * (FS/t); % Each element of Freqs contains a frequency
% corresponding to an elemento of S1, that is,
% the signal has amplitude S1(i) with
% frequency Freqs(i) for any i.

% Finds frequencies lower than fc and greater than -fc
Freqs1 = find( Freqs >= -fc & Freqs <=fc );

%Filters the high frequencies
S1(Freqs1)=0;

s2 = ifft(S1); % Inverse Fourier transform of S1