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Cyclic Division Algebras - A Tool for Space-Time Coding (Paperback)
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Cyclic Division Algebras - A Tool for Space-Time Coding (Paperback)
Series: Foundations and Trends (R) in Communications and Information Theory
Expected to ship within 10 - 15 working days
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Multiple antennas at both the transmitter and receiver ends of a
wireless digital transmission channel may increase both data rate
and reliability. Reliable high rate transmission over such channels
can only be achieved through Space-Time coding. Rank and
determinant code design criteria have been proposed to enhance
diversity and coding gain. The special case of full-diversity
criterion, requires that the difference of any two distinct
codewords has full rank. Extensive work has been done on Space-Time
coding, aiming to attain fully diverse codes with high rate.
Division algebras have been proposed as a new tool for constructing
Space-Time codes, since they are non-commutative algebras that
naturally yield linear fully diverse codes. Their algebraic
properties can thus be further exploited to improve the design of
good codes. Cyclic Division Algebras: A Tool for Space-Time Coding
provides a tutorial introduction to the algebraic tools involved in
the design of codes based on division algebras. The different
design criteria involved are illustrated, including the
constellation shaping, the information lossless property, the
non-vanishing determinant property and the diversity multiplexing
tradeoff. Finally complete mathematical background underlying the
construction of the Golden code and the other Perfect Space-Time
block codes is given. Cyclic Division Algebras: A Tool for
Space-Time Coding is for students, researchers and professionals
working on wireless communication systems.
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