December 2020
Intermediate to advanced
336 pages
5h 49m
English
Content preview from Digital Communications 2
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.
8Study of a Coding and Decoding System by Cyclic Codes
8.1. Objective
The objective of this lab work is the study, then the complete simulation under MATLAB and Simulink, of a coding and decoding application using cyclic codes.
8.2. Recall of the principles of cyclic coding and decoding
Cyclic codes are block codes where the n symbols which constitute a word are considered as coefficient of a polynomial of degree n – 1 :
Any circular permutation on the symbols of a codeword gives a codeword:
The addition of two codewords is a codeword:
The set of all the words of the code constitutes an algebra, while the set of words having a meaning constitutes an ideal.
The benefits of these codes are multiple:
- – they are well suited to the detection of independent and packet errors;
- – their implementation is easy, since the coding and decoding procedures can be made automatic by means of shift registers;
- – their basic principle is based on the theory of polynomials and algebra.
8.3. Coding by division: systematic code
Let the information word represented by its polynomial:
The same word ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Read now
Unlock full access
More than 5,000 organizations count on O’Reilly
O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.Julian F.
I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.Addison B.
I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.Amir M.
I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.