Press "Enter" to skip to content

Read e-book online Algebraic codes for data transmission PDF

By Richard E. Blahut

Error-correcting codes play a primary function in glossy communications and data-storage structures. This quantity offers an available creation to the fundamental components of algebraic codes and discusses their use in quite a few functions. the writer describes a variety of very important coding innovations, together with Reed-Solomon codes, BCH codes, trellis codes, and turbocodes. in the course of the publication, mathematical idea is illustrated via connection with many functional examples. The booklet is written for graduate scholars of electric and machine engineering and training engineers whose paintings contains communications or sign processing.

Show description

Read Online or Download Algebraic codes for data transmission PDF

Similar signal processing books

Download e-book for iPad: Time Frequency Analysis: Theory and Applications by Leon Cohen

That includes conventional assurance in addition to new examine effects that, beforehand, were scattered in the course of the expert literature, this e-book brings together—in basic language—the easy rules and techniques which were built to review ordinary and man-made indications whose frequency content material alterations with time—e.

Read e-book online Shift Register Sequences: Secure and Limited-Access Code PDF

Shift sign in sequences disguise a large diversity of functions, from radar sign layout, pseudo-random quantity iteration, electronic instant telephony, and lots of different components in coded communications. it's the basic sector for which the writer, Dr Golomb, bought the U.S. nationwide Medal of technological know-how. This ebook is the 3rd, revised version of the unique definitive booklet on shift sign up sequences which was once released in 1967, which has been commonly allotted, learn, and stated.

Chipless RFID Based on RF Encoding Particle. Realization, by Arnaud Vena, Etienne Perret, Smail Tedjini PDF

Chipless RFID according to RF Encoding Particle: awareness, Coding and interpreting approach explores the sector of chipless id according to the RF Encoding Particle (REP). The ebook covers the potential for gathering info remotely with RF waves (RFID) with completely passive tags with no cord, batteries, and chips, or even revealed on paper.

Additional resources for Algebraic codes for data transmission

Sample text

8 a. Show that a code C is capable of detecting any pattern of d or fewer errors if and only if the minimum distance of the code C is greater than d. b. Show that a code is capable of correcting any pattern of t or fewer errors if and only if the minimum distance of the code is at least 2t + 1. c. Show that a code can be used to correct all patterns of t or fewer errors and, simultaneously, detect all patterns of d or fewer errors (d ≥ t) if the minimum distance of the code is at least t + d + 1.

A. Show that pk2 ,k1 is a check on both its column and its row. b. Show that this is a single-error-correcting code. c. Show that this code is also a double-error-detecting code. Give two doubleerror patterns that cannot be distinguished from one another when using this code and so cannot be corrected. d. What is the minimum distance of the code? 7 Show that Hamming distance has the following three properties: (i) d(x, y) ≥ 0 with equality if and only if x = y; (ii) d(x, y) = d(y, x). 19 Problems (iii) Triangle inequality d(x, y) ≤ d(x, z) + d(y, z).

3 The rows of an n by m matrix A over G F(q) may be thought of as a set of vectors of length m. The row space of A is the subspace of G F(q)m consisting of all linear combinations of the row vectors of A. The dimension of the row space is called the row rank. Similarly, the columns of A may be thought of as a set of vectors of length n. The column space of A is the subspace of G F(q)n consisting of all linear combinations of column vectors of A. The dimension of the column space is called the column rank.

Download PDF sample

Rated 4.04 of 5 – based on 15 votes