Differential Space–time Code
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Differential Space–time Code
Differential space–time codes are ways of transmitting data in wireless communications. They are forms of space–time code that do not need to know the channel impairments at the receiver in order to be able to decode the signal. They are usually based on space–time block codes, and transmit one block-code from a set in response to a change in the input signal. The differences among the blocks in the set are designed to allow the receiver to extract the data with good reliability. The first differential space-time block code was disclosed by Vahid Tarokh and Hamid Jafarkhani Hamid Jafarkhani ( fa, حمید جعفرخانی) (born 1966, in Tehran) is an Iranian-born American electrical engineer and professor. He serves as the Chancellor's Professor in electrical engineering and computer science in the Henry Samueli S .... References Encodings {{wireless-stub ...
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Hamid Jafarkhani
Hamid Jafarkhani ( fa, حمید جعفرخانی) (born 1966, in Tehran) is an Iranian-born American electrical engineer and professor. He serves as the Chancellor's Professor in electrical engineering and computer science in the Henry Samueli School of Engineering at the University of California, Irvine (UC Irvine). His research focuses on communications theory, particularly coding and wireless communications and networks. Biography Prior to studying at the University of Tehran, he was ranked first in the nationwide entrance examination of Iranian universities in 1984. After receiving his B.S. degree in 1989, he studied at the University of Maryland College Park and obtained his M.S. degree in 1994 followed by his Ph.D. in 1997. After graduating, Jafarkhani joined AT&T Laboratories-Research in August 1997 before moving to Broadcom in July 2000 and to the University of California, Irvine in September 2001. Within the wireless communications field, Jafarkhani is best known as ...
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IEEE Transactions On Information Theory
''IEEE Transactions on Information Theory'' is a monthly peer-reviewed scientific journal published by the IEEE Information Theory Society. It covers information theory and the mathematics of communications. It was established in 1953 as ''IRE Transactions on Information Theory''. The editor-in-chief is Muriel Médard (Massachusetts Institute of Technology). As of 2007, the journal allows the posting of preprints on arXiv. According to Jack van Lint, it is the leading research journal in the whole field of coding theory. A 2006 study using the PageRank network analysis algorithm found that, among hundreds of computer science-related journals, ''IEEE Transactions on Information Theory'' had the highest ranking and was thus deemed the most prestigious. '' ACM Computing Surveys'', with the highest impact factor The impact factor (IF) or journal impact factor (JIF) of an academic journal is a scientometric index calculated by Clarivate that reflects the yearly mean number of citati ...
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Wireless
Wireless communication (or just wireless, when the context allows) is the transfer of information between two or more points without the use of an electrical conductor, optical fiber or other continuous guided medium for the transfer. The most common wireless technologies use radio waves. With radio waves, intended distances can be short, such as a few meters for Bluetooth or as far as millions of kilometers for deep-space radio communications. It encompasses various types of fixed, mobile, and portable applications, including two-way radios, cellular telephones, personal digital assistants (PDAs), and wireless networking. Other examples of applications of radio ''wireless technology'' include GPS units, garage door openers, wireless computer mouse, keyboards and headsets, headphones, radio receivers, satellite television, broadcast television and cordless telephones. Somewhat less common methods of achieving wireless communications involve other electromagnetic phenomena, s ...
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Space–time Code
A space–time code (STC) is a method employed to improve the reliability of data transmission in wireless communication systems using multiple transmit antennas. STCs rely on transmitting multiple, redundant copies of a data stream to the receiver in the hope that at least some of them may survive the physical path between transmission and reception in a good enough state to allow reliable decoding. Space time codes may be split into two main types: *Space–time trellis code Space–time trellis codes (STTCs) are a type of space–time code used in multiple-antenna wireless communications. This scheme transmits multiple, redundant copies of a generalised TCM signal distributed over time and a number of antennas ('s ...s (STTCs) distribute a convolutional code, trellis code over multiple antennas and multiple time-slots and provide both coding gain and diversity reception, diversity gain. *Space–time block codes (STBCs) act on a block of data at once (similarly to ...
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Communication Channel
A communication channel refers either to a physical transmission medium such as a wire, or to a logical connection over a multiplexed medium such as a radio channel in telecommunications and computer networking. A channel is used for information transfer of, for example, a digital bit stream, from one or several '' senders'' to one or several '' receivers''. A channel has a certain capacity for transmitting information, often measured by its bandwidth in Hz or its data rate in bits per second. Communicating an information signal across distance requires some form of pathway or medium. These pathways, called communication channels, use two types of media: Transmission line (e.g. twisted-pair, coaxial, and fiber-optic cable) and broadcast (e.g. microwave, satellite, radio, and infrared). In information theory, a channel refers to a theoretical ''channel model'' with certain error characteristics. In this more general view, a storage device is also a communication channel, ...
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Space–time Block Code
In physics, spacetime is a mathematical model that combines the three dimensions of space and one dimension of time into a single four-dimensional manifold. Spacetime diagrams can be used to visualize relativistic effects, such as why different observers perceive differently where and when events occur. Until the 20th century, it was assumed that the three-dimensional geometry of the universe (its spatial expression in terms of coordinates, distances, and directions) was independent of one-dimensional time. The physicist Albert Einstein helped develop the idea of spacetime as part of his theory of relativity. Prior to his pioneering work, scientists had two separate theories to explain physical phenomena: Isaac Newton's laws of physics described the motion of massive objects, while James Clerk Maxwell's electromagnetic models explained the properties of light. However, in 1905, Einstein based a work on special relativity on two postulates: * The laws of physics are invariant ...
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Block Code
In coding theory, block codes are a large and important family of error-correcting codes that encode data in blocks. There is a vast number of examples for block codes, many of which have a wide range of practical applications. The abstract definition of block codes is conceptually useful because it allows coding theorists, mathematicians, and computer scientists to study the limitations of ''all'' block codes in a unified way. Such limitations often take the form of ''bounds'' that relate different parameters of the block code to each other, such as its rate and its ability to detect and correct errors. Examples of block codes are Reed–Solomon codes, Hamming codes, Hadamard codes, Expander codes, Golay codes, and Reed–Muller codes. These examples also belong to the class of linear codes, and hence they are called linear block codes. More particularly, these codes are known as algebraic block codes, or cyclic block codes, because they can be generated using boolean polynomi ...
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Vahid Tarokh
Vahid Tarokh (; born ) is an Iranian-American electrical engineer, mathematician, computer scientist, and professor. Since 2018, he has served as a Professor of Electrical and Computer Engineering, a Professor of Mathematics, and the Rhodes Family Professor of Electrical and Computer Engineering at Duke University. From 2019-2021, he was a Microsoft Data Science Investigator at Microsoft Innovation Hub at Duke University. Tarokh works with complex datasets and uses machine learning algorithms to predict catastrophic events. Biography Vahid Tarokh was born in the Imperial State of Iran. He received the M.Sc. degree in Mathematics from University of Windsor, Ontario, Canada in 1992, and the PhD in Electrical Engineering from the University of Waterloo, Ontario, Canada in 1995. At the University of Waterloo he studied under Ian Fraser Blake, who also served as his Ph.D. advisor; his dissertation was titled ''Trellis Complexity of Lattices' (1995)''. He worked at AT&T Labs-Research un ...
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