coding theorem

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• Noisy-channel coding theorem — In information theory, the noisy channel coding theorem (sometimes Shannon s theorem), establishes that for any given degree of noise contamination of a communication channel, it is possible to communicate discrete data (digital information)… …   Wikipedia

• Shannon's source coding theorem — In information theory, Shannon s source coding theorem (or noiseless coding theorem) establishes the limits to possible data compression, and the operational meaning of the Shannon entropy.The source coding theorem shows that (in the limit, as… …   Wikipedia

• Coding theory approaches to nucleic acid design — DNA code construction refers to the application of coding theory to the design of nucleic acid systems for the field of DNA–based computation. Contents 1 Introduction 2 Definitions 2.1 Property U 2 …   Wikipedia

• Shannon–Hartley theorem — In information theory, the Shannon–Hartley theorem tells the maximum rate at which information can be transmitted over a communications channel of a specified bandwidth in the presence of noise. It is an application of the noisy channel coding… …   Wikipedia

• Huffman coding — Huffman tree generated from the exact frequencies of the text this is an example of a huffman tree . The frequencies and codes of each character are below. Encoding the sentence with this code requires 135 bits, as opposed of 288 bits if 36… …   Wikipedia

• Arithmetic coding — is a method for lossless data compression. Normally, a string of characters such as the words hello there is represented using a fixed number of bits per character, as in the ASCII code. Like Huffman coding, arithmetic coding is a form of… …   Wikipedia

• Shannon–Fano coding — In the field of data compression, Shannon Fano coding is a suboptimal technique for constructing a prefix code based on a set of symbols and their probabilities (estimated or measured). The technique was proposed prior to the optimal technique of …   Wikipedia

• Golomb coding — is a data compression scheme invented by Solomon W. Golomb in the 1960s. The scheme is based on entropy encoding and is optimal (in the sense of Shannon s source coding theorem) for alphabets following a geometric distribution, making it highly… …   Wikipedia

• Distributed source coding — (DSC) is an important problem in information theory and communication. DSC problems regard the compression of multiple correlated information sources that do not communicate with each other.[1] By modeling the correlation between multiple sources …   Wikipedia

• Tarski's undefinability theorem — Tarski s undefinability theorem, stated and proved by Alfred Tarski in 1936, is an important limitative result in mathematical logic, the foundations of mathematics, and in formal semantics. Informally, the theorem states that arithmetical truth… …   Wikipedia

• Nyquist–Shannon sampling theorem — Fig.1: Hypothetical spectrum of a bandlimited signal as a function of frequency The Nyquist–Shannon sampling theorem, after Harry Nyquist and Claude Shannon, is a fundamental result in the field of information theory, in particular… …   Wikipedia