What does GVB mean in UNCLASSIFIED
Gilbert-Varshamov Bound (GVB) is a popular information theory concept in MISCELLANEOUS. It was developed by Varshamov and Gilbert and it provides a bounds on the probability of an error in coding process. The bound defines that when errors occur, the probability of them occurring correctly does not exceed a certain value, known as the Gilbert-Varshamov bound (GVB). In other words, GVB provides a measure of the reliability of a given code or system.
GVB meaning in Unclassified in Miscellaneous
GVB mostly used in an acronym Unclassified in Category Miscellaneous that means Gilbert Varshamov Bound
Shorthand: GVB,
Full Form: Gilbert Varshamov Bound
For more information of "Gilbert Varshamov Bound", see the section below.
What Does GVB Mean
GVB is an acronym that stands for Gilbert Varshamov Bound. It is a mathematical theorem that states that the probability of an error occurring in coding processes should never exceed a certain value. GVB gives us an upper limit to the reliability of any given code or system. The exact value for this upper limit depends upon several factors, but generally speaking, it hovers around 0.5% to 1%.
How GVB Is Used
GVB is used in MISCELLANEOUS to determine how reliable a particular coding process is. By calculating the GVB value, one can get an idea of how much data can be received without errors and how much error-correction is needed for reliable communication with no possibility of false positives or incorrect values being transmitted from one end to another. This makes GVB particularly useful in scenarios where data has to be transmitted over long distances or under noisy conditions where transmission might be unreliable due to interference or other disturbances.
Essential Questions and Answers on Gilbert Varshamov Bound in "MISCELLANEOUS»UNFILED"
What is the Gilbert Varshamov Bound?
The Gilbert–Varshamov bound (also known as the GV bound) is a mathematical to bound for error-correcting codes, specifically linear block codes. It provides an upper limit on the size of codes in terms of its rate and minimum distance. In other words, it states that it is possible to produce a code with a given rate and minimum distance, but no larger.
What types of codes does the Gilbert-Varshamov Bound apply to?
The Gilbert-Varshamov Bound applies to linear block codes. These are codes which encode fixed length blocks of data into longer blocks by adding parity bits or redundancy bits.
How does the Gilbert-Varshamov Bound work?
The Gilbert-Varshamov bound works by determining an upper limit on a code's size in terms of its rate and minimum distance thus providing an upper limit for creating a code with specified parameters. This is done by calculating a ratio between two different types of polynomials.
What types of calculations does the Gilbert-Varshamov Bound use?
The Gilbert-Varshamov Bound uses calculations based off two different types polynomials called "test polynomials" and "probability polynomials". These are used to calculate a ratio which determines an upper limit for creating a code with given parameters.
Is the Gilbert-Varshamov Bound always accurate?
While the Gilbert–Varshamov bound provides useful insights into error control coding, it should not be taken as being completely accurate due to certain assumptions regarding randomness that can affect results in practice.
Is there anything else I should know about the Gilbert-Varshmamov bound?
Yes - while most commonly used for linear block code, such as Hamming and BCH codes, various other families of codes can also be modelled using this bound if they have suitable generator matrices or parity check matrices that can be converted into polynomials that fit within this model.
Who developed Tomlinson Harashima Precoding(THP)?
Tomlinson Harashima precoding was developed by Richard Imai at Mitsubishi Electric Corporation and Masaaki Harashima at Tokyo Institute of Technology in 1971 as part of their research into error control coding systems for communications applications.
Final Words:
In summary, Gilbert Varshamov Bound (GVB) is an important concept in MISCELLANEOUS that helps define what constitutes as reliable communication between two points within a given coding process. By calculating its value, one can get an idea of the maximum possible reliability when transmitting data over long distances or under noisy conditions where transmission might be unreliable due to interference or other disturbances.
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