Gold Sequence
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Gold Sequence
A Gold code, also known as Gold sequence, is a type of binary sequence, used in telecommunication (CDMA) and satellite navigation (GPS). Gold codes are named after Robert Gold. Gold codes have bounded small cross-correlations within a set, which is useful when multiple devices are broadcasting in the same frequency range. A set of Gold code sequences consists of 2''n'' + 1 sequences each one with a period of 2''n'' − 1. A set of Gold codes can be generated with the following steps. Pick two maximum length sequences of the same length 2''n'' − 1 such that their absolute cross-correlation is less than or equal to 2(''n''+2)/2, where ''n'' is the size of the linear-feedback shift register used to generate the maximum length sequence (Gold '67). The set of the 2''n'' − 1 exclusive-ors of the two sequences in their various phases (i.e. translated into all relative positions) together with the two maximum length sequences form a set of 2''n'' + 1 Gold code sequences ...
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CDMA
Code-division multiple access (CDMA) is a channel access method used by various radio communication technologies. CDMA is an example of multiple access, where several transmitters can send information simultaneously over a single communication channel. This allows several users to share a band of frequencies (see bandwidth). To permit this without undue interference between the users, CDMA employs spread spectrum technology and a special coding scheme (where each transmitter is assigned a code). CDMA optimizes the use of available bandwidth as it transmits over the entire frequency range and does not limit the user's frequency range. It is used as the access method in many mobile phone standards. IS-95, also called "cdmaOne", and its 3G evolution CDMA2000, are often simply referred to as "CDMA", but UMTS, the 3G standard used by GSM carriers, also uses "wideband CDMA", or W-CDMA, as well as TD-CDMA and TD-SCDMA, as its radio technologies. It can be also used as a channel or m ...
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Kasami Code
Kasami may refer to: *Kasami, Iran, a village in Sistan and Baluchestan Province, Iran *Pajtim Kasami, a Swiss footballer *Tadao Kasami, a Japanese information theorist :*Kasami code Kasami may refer to: * Kasami, Iran, a village in Sistan and Baluchestan Province, Iran * Pajtim Kasami, a Swiss footballer * Tadao Kasami, a Japanese information theorist :* Kasami code, a line code associated with him {{dab ...
, a line code associated with him {{dab ...
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Brandenburg University Of Technology
The Brandenburg University of Technology Cottbus–Senftenberg (german: link=no, Brandenburgische Technische Universität, BTU) was founded in 1991 and is a technical university in Brandenburg, Germany with campuses in Cottbus and Senftenberg. The university has 185 professors, 640 additional academic staff and more than 7,000 students, of which 2,350 are of foreign origin from more than 100 nations. History The university was a school for construction engineering in the former GDR starting in 1954. After German reunification, the school became a Technical University and was later renamed "Brandenburg Technical University" in 1994. In the following years, the university underwent major construction efforts and the number of students continued to grow. In February 2013 the Landtag of Brandenburg decided to merge the BTU and the Hochschule Lausitz on July 1, 2013 to found the new university ''Brandenburgische Technische Universität Cottbus-Senftenberg'' (abbreviated BTU). Today ...
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The Institution Of Electrical Engineers
The Institution of Electrical Engineers (IEE) was a British professional organisation of electronics, electrical, manufacturing, and Information Technology professionals, especially electrical engineers. It began in 1871 as the Society of Telegraph Engineers. In 2006, it changed its name to the Institution of Engineering and Technology (IET). Notable past presidents have included Lord Kelvin (1889), Sir Joseph Swan (1898) and Sebastian de Ferranti (1910–11). Notable chairmen include John M. M. Munro (1910–11). History The IEE was founded in 1871 as the Society of Telegraph Engineers, changed its name in 1880 to the Society of Telegraph Engineers and Electricians and changed to the Institution of Electrical Engineers in 1888. It was Incorporated by a Royal Charter in 1921. In 1988 the Institution of Electrical Engineers (IEE) merged with the Institution of Electronic and Radio Engineers (IERE), originally the British Institution of Radio Engineers (Brit IRE) founded i ...
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Springer Verlag
Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing. Originally founded in 1842 in Berlin, it expanded internationally in the 1960s, and through mergers in the 1990s and a sale to venture capitalists it fused with Wolters Kluwer and eventually became part of Springer Nature in 2015. Springer has major offices in Berlin, Heidelberg, Dordrecht, and New York City. History Julius Springer founded Springer-Verlag in Berlin in 1842 and his son Ferdinand Springer grew it from a small firm of 4 employees into Germany's then second largest academic publisher with 65 staff in 1872.Chronology
". Springer Science+Business Media.
In 1964, Springer expanded its business internationally, o ...
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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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Xilinx
Xilinx, Inc. ( ) was an American technology and semiconductor company that primarily supplied programmable logic devices. The company was known for inventing the first commercially viable field-programmable gate array (FPGA) and creating the first fabless manufacturing model.Jonathan Cassell, iSuppli.A Forgettable Year for Memory Chip Makers: iSuppli releases preliminary 2008 semiconductor rankings." December 1, 2008. Retrieved January 15, 2009.John Edwards, EDN." June 1, 2006. Retrieved January 15, 2009. Xilinx was co-founded by Ross Freeman, Bernard Vonderschmitt, and James V. Barnett II, James V Barnett II in 1984 and the company went public on the NASDAQ in 1990. AMD announced its acquisition of Xilinx in October 2020 and the deal was completed on February 14, 2022 through an all-stock transaction worth an estimated $50 billion. Company overview Xilinx was founded in Silicon Valley in 1984 and headquartered in San Jose, California, San Jose, USA, with additional offices in ...
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Space Network
Space Network (SN) is a NASA program that combines space and ground elements to support spacecraft communications in Earth vicinity. The SN Project Office at Goddard Space Flight Center (GSFC) manages the SN, which consists of: * The geosynchronous Tracking and Data Relay Satellites (TDRS), * Supporting ground terminal systems, * The Bilateration Ranging and Transponder System (BRTS), * Merritt Island Launch Annex (MILA) relay, * Network Control Center Data System (NCCDS). Satellite generations Tracking and Data Relay Satellite (TDRS) currently consists of first-generation (F1–F7), and second-generation (F8–F10) satellites. The space segment of the SN consists of up to six operational relay satellites in geosynchronous orbit. These communications satellites are allocated longitudes for relaying forward and return service signals to and from customers, any entity with an Earth-orbiting satellite that has an agreement with SN to use its communications services, for data tr ...
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Complementary Sequences
: ''For complementary sequences in biology, see complementarity (molecular biology) In molecular biology, complementarity describes a relationship between two structures each following the lock-and-key principle. In nature complementarity is the base principle of DNA replication and transcription as it is a property shared b .... For integer sequences with complementary sets of members see Lambek–Moser theorem.'' In applied mathematics, complementary sequences (CS) are pairs of sequences with the useful property that their out-of-phase aperiodic autocorrelation coefficients sum to zero. Binary complementary sequences were first introduced by Marcel J. E. Golay in 1949. In 1961–1962 Golay gave several methods for constructing sequences of length 2''N'' and gave examples of complementary sequences of lengths 10 and 26. In 1974 R. J. Turyn gave a method for constructing sequences of length ''mn'' from sequences of lengths ''m'' and ''n'' which allows the construction of sequ ...
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Zadoff–Chu Sequence
A Zadoff–Chu (ZC) sequence, also referred to as Chu sequence or Frank–Zadoff–Chu (FZC) sequence, is a complex-valued mathematical sequence which, when applied to a signal, gives rise to a new signal of constant amplitude. When cyclically shifted versions of a Zadoff–Chu sequence are imposed upon a signal the resulting set of signals detected at the receiver are uncorrelated with one another. They are named after Solomon A. Zadoff, David C. Chu and Robert L. Frank. Description Zadoff–Chu sequences exhibit the useful property that cyclically shifted versions of themselves are orthogonal to one another. A generated Zadoff–Chu sequence that has not been shifted is known as a ''root sequence''. The complex value at each position ''n'' of each root Zadoff–Chu sequence parametrised by ''u'' is given by : x_u(n)=\text\left(-j\frac\right), \, where : 0 \le n < N_\text, : 0 < u < N_\text and \text(N_\text,u)=1, : c_\text ...
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JPL Code
JPL sequences or JPL codes consist of two linear feedback shift registers (LFSRs) whose code sequence lengths ''L''a and ''L''b must be prime (relatively prime). In this case the code sequence length of the generated overall sequence ''L''c is equal to: :L_c = L_a \cdot L_b = (2^n - 1)(2^m - 1) It is also possible for more than two LFSRs to be interconnected through multiple XORs at the output for as long as all code sequence lengths of the individual LFSR are relatively prime to one another. JPL sequences were originally developed in the Jet Propulsion Labs, from which the name for these code sequences is derived. Areas of application include distance measurements utilizing spread spectrum signals for satellites and in space technology. They are also utilized in the more precise military P/Y code used in the Global Positioning System (GPS). However, they are currently replaced by the new M-code. Due to the relatively long spreading sequences, they can be used to measure relat ...
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Sequence
In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called ''elements'', or ''terms''). The number of elements (possibly infinite) is called the ''length'' of the sequence. Unlike a set, the same elements can appear multiple times at different positions in a sequence, and unlike a set, the order does matter. Formally, a sequence can be defined as a function from natural numbers (the positions of elements in the sequence) to the elements at each position. The notion of a sequence can be generalized to an indexed family, defined as a function from an ''arbitrary'' index set. For example, (M, A, R, Y) is a sequence of letters with the letter 'M' first and 'Y' last. This sequence differs from (A, R, M, Y). Also, the sequence (1, 1, 2, 3, 5, 8), which contains the number 1 at two different positions, is a valid sequence. Sequences can be ''finite'', as in these examples, or ''infi ...
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