Algebraic number theory is gaining an increasing impact in code design for many different coding applications, such as single antenna fading channels and more recently, MIMO systems. Extended work has been done on single antenna fading channels, and algebraic lattice codes have been proven to be an effective tool. The general framework has been developed in the last ten years and many explicit code constructions based on algebraic number theory are now available. Algebraic Number Theory and Code Design for Rayleigh Fading Channels provides an overview of algebraic lattice code designs for Rayleigh fading channels, as well as a tutorial introduction to algebraic number theory. The basic facts of this mathematical field are illustrated by many examples and by the use of computer algebra freeware in order to make it more accessible to a large audience. This makes the book suitable for use by students and researchers in both mathematics and communications.
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First Sentence:
Elementary number theory was the basis of the development of error correcting codes in the early years of coding theory. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
minimum product distance, lattice generator matrix, cyclotomic construction, lattice constellations, fundamental parallelotope, bit labeling, lattice codes, algebraic lattices, fading coefficients, integral basis, ideal lattice, maximal diversity, fading channel, signal constellations, algebraic number theory, real number fields, minimal polynomial, received point, algebraic integer, algebraic number fields, coding gain Key Phrases - Capitalized Phrases (CAPs): (learn more)
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Elementary number theory was the basis of the development of error correcting codes in the early years of coding theory. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
minimum product distance, lattice generator matrix, cyclotomic construction, lattice constellations, fundamental parallelotope, bit labeling, lattice codes, algebraic lattices, fading coefficients, integral basis, ideal lattice, maximal diversity, fading channel, signal constellations, algebraic number theory, real number fields, minimal polynomial, received point, algebraic integer, algebraic number fields, coding gain Key Phrases - Capitalized Phrases (CAPs): (learn more)
Sphere Decoder New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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This book cites 9
books:
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- Introduction to Cyclotomic Fields (Graduate Texts in Mathematics) by Lawrence C. Washington in Back Matter
- Sphere Packings, Lattices and Groups (Grundlehren der mathematischen Wissenschaften) (v. 290) by John Horton Conway in Back Matter
- Finite Fields (Encyclopedia of Mathematics and its Applications) by Rudolf Lidl in Back Matter
- A Brief Guide to Algebraic Number Theory (London Mathematical Society Student Texts) by H. P. F. Swinnerton-Dyer in Back Matter
- Advanced Number Theory (Dover Books on Mathematics) by Harvey Cohn in Back Matter
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