📄 diff_enc.m
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function [DIFF_ENC] = diff_enc(BURST)
%
% diff_enc: This function accepts a GSM burst bit sequence and
% performs a differential encoding of the sequence. The
% encoding is according to the GSM 05.05 recommendations
%
% Input: D(i)
% Output: A(i)
%
% D'(I) = D(i) (+) D(i-1) ; (+) = XOR
% D(i), D'(i) = {0,1}
% A(i) = 1 - 2*D'(i)
% A(i) = {-1,1}
%
% SYNTAX: [diff_enc_data] = diff_enc(burst)
%
% INPUT: burst A binary, (0,1), bit sequence
%
% OUTPUT: diff_enc_data A differential encoded, (+1,-1), version
% of the input burst sequence
%
% SUB_FUNC: None
%
% WARNINGS: None
%
% TEST(S): Function tested
%
% AUTHOR: Jan H. Mikkelsen / Arne Norre Ekstr鴐
% EMAIL: hmi@kom.auc.dk / aneks@kom.auc.dk
%
% $Id: diff_enc.m,v 1.5 1998/02/12 10:49:36 aneks Exp $
L = length(BURST);
% INTERMEDIATE VECTORS FOR DATA PROCESSING
%
d_hat = zeros(1,L);
alpha = zeros(1,L);
% DIFFERENTIAL ENCODING ACCORDING TO GSM 05.05
% AN INFINITE SEQUENCE OF 1'ENS ARE ASSUMED TO
% PRECEED THE ACTUAL BURST
%
data = [1 BURST];
for n = 1+1:(L+1),
d_hat(n-1) = xor( data(n),data(n-1) );
end
alpha = 1 - 2.*d_hat;
% PREPARING DATA FOR OUTPUT
DIFF_ENC = alpha;
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