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Composite Binary Offset Carrier
The Composite Binary Offset Carrier (CBOC) modulation is a particular implementation of the Multiplexed Binary Offset Carrier modulation and it is nowadays used by Galileo satellite signals. It is formed by addition or subtraction of two weighted sine binary offset carrier modulations. It has been introduced as an MBOC variant, following an EU-US Agreement in 2004 on the Promotion, Provision and use of Galileo and GPS Satellite-Based Navigation Systems and Related Applications. A CBOC theoretical model A theory is a rational type of abstract thinking about a phenomenon, or the results of such thinking. The process of contemplative and rational thinking is often associated with such processes as observational study or research. Theories may be s ...ing can be found in.Lohan2010 References * E.S. Lohan, "Analytical performance of CBOC-modulated Galileo E1 signal using sine BOC(1,1) receiver for mass-market applications", in Proc. of ION-PLANS 2010, 3–5 May 2010, Palm ...
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Multiplexed Binary Offset Carrier
Multiplexed binary offset carrier (MBOC) modulationGalileo Open Service Signal In Space Interface Control Document (OS SIS ICD)
, GSA, Issue 1.1, September 2010
is a modulation design proposed for Galileo (satellite navigation), Galileo and modernized Global Positioning System, GPS satellite navigation signals, which combines a sine binary offset carrier SinBOC(1,1) signal with a SinBOC(6,1) signal, either via weighted sum/difference (the CBOC implementation) or via time-multiplexing (the TMBOC implementation). The main objective of the common GPS and Galileo signal design activity was that the power spectral density (PSD) of the proposed solution would be identical for GPS L1C and Galileo E1 OS si ...
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Galileo (satellite Navigation)
Galileo is a global navigation satellite system (GNSS) that went live in 2016, created by the European Union through the European Space Agency (ESA), operated by the European Union Agency for the Space Programme (EUSPA), headquartered in Prague, Czech Republic, with two ground operations centres in Fucino, Italy, and Oberpfaffenhofen, Germany. The €10 billion project is named after the Italian astronomer Galileo Galilei. One of the aims of Galileo is to provide an independent high-precision positioning system so European political and military authorities do not have to rely on the US GPS, or the Russian GLONASS systems, which could be disabled or degraded by their operators at any time. The use of basic (lower-precision) Galileo services is free and open to everyone. A fully encrypted higher-precision service is available for free to government-authorized users. Galileo is intended to provide horizontal and vertical position measurements within 1 m precision. Galileo is al ...
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Weighted
A weight function is a mathematical device used when performing a sum, integral, or average to give some elements more "weight" or influence on the result than other elements in the same set. The result of this application of a weight function is a weighted sum or weighted average. Weight functions occur frequently in statistics and mathematical analysis, analysis, and are closely related to the concept of a measure (mathematics), measure. Weight functions can be employed in both discrete and continuous settings. They can be used to construct systems of calculus called "weighted calculus" and "meta-calculus".Jane Grossma''Meta-Calculus: Differential and Integral'' , 1981. Discrete weights General definition In the discrete setting, a weight function w \colon A \to \R^+ is a positive function defined on a discrete mathematics, discrete Set (mathematics), set A, which is typically finite set, finite or countable. The weight function w(a) := 1 corresponds to the ''unweighted'' s ...
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Binary Offset Carrier
Binary offset carrier modulation (BOC modulation) was developed by John Betz in order to allow interoperability of satellite navigation systems. It is currently used in the US GPS system, Indian IRNSS system and in Galileo and is a square sub-carrier modulation, where a signal is multiplied by a rectangular sub-carrier of frequency f_\text equal to or greater than the chip rate. Following this sub-carrier multiplication, the spectrum of the signal is divided into two parts, therefore BOC modulation is also known as a split-spectrum modulation. Their major advantages are, that one can shape the spectrum to allow inter-system-compatibility and better theoretically achievable tracking capabilities, due to higher frequencies if downmixed to the complex baseband. On the other hand, a huge variety of different implementations or instantiations was setup, making it difficult to get the whole picture. Early (and sometimes recent) publications dealing with that topic usually do not include ...
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MBOC
Multiplexed binary offset carrier (MBOC) modulationGalileo Open Service Signal In Space Interface Control Document (OS SIS ICD)
, GSA, Issue 1.1, September 2010
is a modulation design proposed for Galileo and modernized satellite navigation signals, which combines a sine ...
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Theoretical Model
A theory is a rational type of abstract thinking about a phenomenon, or the results of such thinking. The process of contemplative and rational thinking is often associated with such processes as observational study or research. Theories may be scientific, belong to a non-scientific discipline, or no discipline at all. Depending on the context, a theory's assertions might, for example, include generalized explanations of how nature works. The word has its roots in ancient Greek, but in modern use it has taken on several related meanings. In modern science, the term "theory" refers to scientific theories, a well-confirmed type of explanation of nature, made in a way consistent with the scientific method, and fulfilling the criteria required by modern science. Such theories are described in such a way that scientific tests should be able to provide empirical support for it, or empirical contradiction ("falsify") of it. Scientific theories are the most reliable, rigorous, and comp ...
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Quantized Radio Modulation Modes
Quantization is the process of constraining an input from a continuous or otherwise large set of values (such as the real numbers) to a discrete set (such as the integers). The term ''quantization'' may refer to: Signal processing * Quantization (signal processing) ** Quantization (image processing) *** Color quantization ** Quantization (music) Physics * Quantization (physics) ** Canonical quantization ** Geometric quantization * Discrete spectrum, or otherwise discrete quantity ** Spatial quantization ** Charge quantization Computing * The process of making the signal discrete in amplitude by approximating the sampled signal to the nearest pre-defined level is called as quantization Linguistics * Quantization (linguistics) Similar terms * Quantification (science) In mathematics and empirical science, quantification (or quantitation) is the act of counting and measuring that maps human sense observations and experiences into quantity, quantities. Quantification i ...
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