Forward Error Correction via Channel Coding
This book provides a comprehensive explanation of forward error correction, which is a vital part of communication systems. The book is written in such a way to make the subject easy and understandable for the reader. The book starts with a review of line
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Forward Error Correction via Channel Coding
Forward Error Correction via Channel Coding
Orhan Gazi
Forward Error Correction via Channel Coding
Orhan Gazi Electronic & Communication Engineering Department Cankaya University Ankara, Turkey
ISBN 978-3-030-33379-9 ISBN 978-3-030-33380-5 https://doi.org/10.1007/978-3-030-33380-5
(eBook)
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Preface
Coding and decoding can be considered as a mapping and de-mapping between the elements of two sequence sets. For the two sequence sets A and B, mapping a symbol sequence belonging to set A to a symbol sequence in set B can be considered as coding and the reverse operation can be considered as decoding. The purpose of mapping depends on the aim of design. If the sequences in set A are shorter than the sequences in set B, such a mapping can be considered as data compression or source coding in short. If the aim of the mapping is to hide the information content of the sequences in set A, then this type of coding can be named as encryption. On the other hand, if the sequences in set B are longer compared to sequences in set A, and they are more robust to noisy transmissions, then such a mapping is named as channel coding. The purpose of channel coding is to transmit more information bits reliably through a communication channel using a fixed amount of energy in unit time. For this purpose, instead of transmitting information bit sequences directly, a mapping can be performed to longer information sequences, and such a mapping is done mathematically. Since as the length of the information sequence increases, the total number of data words, i.e., information sequences, b
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