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27 relations: Binary entropy function, Binary erasure channel, Bit, Boole's inequality, Channel capacity, Chernoff bound, Code, Coding theory, Communication channel, Communication theory, Concatenated error correction code, Conditional entropy, Conditional probability, Data transmission, Expected value, Hamming distance, Information theory, Linear code, Low-density parity-check code, Markov's inequality, Mutual information, Noise (electronics), Probabilistic method, Probability, Random variable, Reduction (complexity), Z-channel (information theory).
Binary entropy function
In information theory, the binary entropy function, denoted \operatorname H(p) or \operatorname H_\text(p), is defined as the entropy of a Bernoulli process with probability p of one of two values.
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Binary erasure channel
disambiguation: Landauer's principle A binary erasure channel (or BEC) is a common communications channel model used in coding theory and information theory.
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Bit
The bit (a portmanteau of binary digit) is a basic unit of information used in computing and digital communications.
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Boole's inequality
In probability theory, Boole's inequality, also known as the union bound, says that for any finite or countable set of events, the probability that at least one of the events happens is no greater than the sum of the probabilities of the individual events.
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Channel capacity
Channel capacity, in electrical engineering, computer science and information theory, is the tight upper bound on the rate at which information can be reliably transmitted over a communication channel.
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Chernoff bound
In probability theory, the Chernoff bound, named after Herman Chernoff but due to Herman Rubin, gives exponentially decreasing bounds on tail distributions of sums of independent random variables.
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Code
In communications and information processing, code is a system of rules to convert information—such as a letter, word, sound, image, or gesture—into another form or representation, sometimes shortened or secret, for communication through a communication channel or storage in a storage medium.
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Coding theory
Coding theory is the study of the properties of codes and their respective fitness for specific applications.
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Communication channel
A communication channel or simply 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.
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Communication theory
Communication theory is a field of information theory and mathematics that studies the technical process of information and the process of human communication.
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Concatenated error correction code
In coding theory, concatenated codes form a class of error-correcting codes that are derived by combining an inner code and an outer code.
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Conditional entropy
In information theory, the conditional entropy (or equivocation) quantifies the amount of information needed to describe the outcome of a random variable Y given that the value of another random variable X is known.
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Conditional probability
In probability theory, conditional probability is a measure of the probability of an event (some particular situation occurring) given that (by assumption, presumption, assertion or evidence) another event has occurred.
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Data transmission
Data transmission (also data communication or digital communications) is the transfer of data (a digital bitstream or a digitized analog signal) over a point-to-point or point-to-multipoint communication channel.
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Expected value
In probability theory, the expected value of a random variable, intuitively, is the long-run average value of repetitions of the experiment it represents.
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Hamming distance
In information theory, the Hamming distance between two strings of equal length is the number of positions at which the corresponding symbols are different.
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Information theory
Information theory studies the quantification, storage, and communication of information.
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Linear code
In coding theory, a linear code is an error-correcting code for which any linear combination of codewords is also a codeword.
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Low-density parity-check code
In information theory, a low-density parity-check (LDPC) code is a linear error correcting code, a method of transmitting a message over a noisy transmission channel.
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Markov's inequality
In probability theory, Markov's inequality gives an upper bound for the probability that a non-negative function of a random variable is greater than or equal to some positive constant.
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Mutual information
In probability theory and information theory, the mutual information (MI) of two random variables is a measure of the mutual dependence between the two variables.
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Noise (electronics)
In electronics, noise is an unwanted disturbance in an electrical signal.
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Probabilistic method
The probabilistic method is a nonconstructive method, primarily used in combinatorics and pioneered by Paul Erdős, for proving the existence of a prescribed kind of mathematical object.
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Probability
Probability is the measure of the likelihood that an event will occur.
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Random variable
In probability and statistics, a random variable, random quantity, aleatory variable, or stochastic variable is a variable whose possible values are outcomes of a random phenomenon.
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Reduction (complexity)
In computability theory and computational complexity theory, a reduction is an algorithm for transforming one problem into another problem.
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Z-channel (information theory)
A Z-channel is a communications channel used in coding theory and information theory to model the behaviour of some data storage systems.
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References
[1] https://en.wikipedia.org/wiki/Binary_symmetric_channel
