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Golomb coding information


Golomb coding is a lossless data compression method using a family of data compression codes invented by Solomon W. Golomb in the 1960s. Alphabets following a geometric distribution will have a Golomb code as an optimal prefix code,[1] making Golomb coding highly suitable for situations in which the occurrence of small values in the input stream is significantly more likely than large values.

  1. ^ Gallager, R. G.; van Voorhis, D. C. (1975). "Optimal source codes for geometrically distributed integer alphabets". IEEE Transactions on Information Theory. 21 (2): 228–230. doi:10.1109/tit.1975.1055357.

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Golomb coding

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codes in an adaptive coding scheme; "Rice coding" can refer either to that adaptive scheme or to using that subset of Golomb codes. Whereas a Golomb code...

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Unary coding

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interchangeable without loss of generality. Unary coding is both a prefix-free code and a self-synchronizing code. Unary coding is an optimally efficient encoding for...

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Entropy coding

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simpler static code may be useful. These static codes include universal codes (such as Elias gamma coding or Fibonacci coding) and Golomb codes (such as unary...

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Advanced Video Coding

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Video Coding (AVC), also referred to as H.264 or MPEG-4 Part 10, is a video compression standard based on block-oriented, motion-compensated coding. It...

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Elias gamma coding

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Exponential-Golomb coding generalizes the gamma code to integers with a "flatter" power-law distribution, just as Golomb coding generalizes the unary code. It...

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Huffman coding

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symbols separately, Huffman coding is not always optimal among all compression methods - it is replaced with arithmetic coding or asymmetric numeral systems...

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Golomb

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engineer Golomb ruler Golomb coding All pages with titles containing Golomb Gołąb (surname) This page lists people with the surname Golomb. If an internal...

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High Efficiency Video Coding

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Wiegand. "Reduced-Complexity Entropy Coding of Transform Coefficient Levels Using Truncated Golomb-Rice Codes in Video Compression" (PDF). Gary Sullivan;...

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Golomb ruler

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In mathematics, a Golomb ruler is a set of marks at integer positions along a ruler such that no two pairs of marks are the same distance apart. The number...

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Bit array

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probability of a gap of n is 1/2n. This is also the special case of Golomb coding where the parameter M is 1; this parameter is only normally selected...

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List of exponential topics

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formula Exponential function Exponential generating function Exponential-Golomb coding Exponential growth Exponential hierarchy Exponential integral Exponential...

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List of algorithms

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Shannon–Fano coding Shannon–Fano–Elias coding: precursor to arithmetic encoding Entropy coding with known entropy characteristics Golomb coding: form of entropy...

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Arithmetic coding

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Huffman-based Golomb-Rice codes. Such an approach allows simpler and faster encoding/decoding than arithmetic coding or even Huffman coding, since the latter...

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Prefix code

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codes, and universal codes such as: Elias delta coding Elias gamma coding Elias omega coding Fibonacci coding Levenshtein coding Unary coding Golomb Rice...

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Bloom filter

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positive rate. The sequence of values is then sorted and compressed using Golomb coding (or some other compression technique) to occupy a space close to n log...

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Geometric distribution

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variables whose probability distributions are indecomposable. Golomb coding is the optimal prefix code[clarification needed] for the geometric discrete distribution...

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Elias delta coding

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Zigzag code, nor the JPEG Zig-zag entropy coding). Elias gamma (γ) coding Elias omega (ω) coding Golomb-Rice code Elias, Peter (March 1975). "Universal codeword...

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Truncated binary encoding

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increases, and the raw-encoding symbol bit-length b u {\displaystyle b_{u}} decreases. Benford's law Golomb coding Job van der Zwan. "Phase-in Codes"....

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Signed number representations

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the Advanced Video Coding/H.264 and High Efficiency Video Coding/H.265 video compression standards to extend exponential-Golomb coding to negative numbers...

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Golomb sequence

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In mathematics, the Golomb sequence, named after Solomon W. Golomb (but also called Silverman's sequence), is a monotonically increasing integer sequence...

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Unary numeral system

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numbering is used as part of some data compression algorithms such as Golomb coding. It also forms the basis for the Peano axioms for formalizing arithmetic...

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USC Viterbi School of Engineering

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programming – developed by Prof. Richard Bellman Golomb coding – entropy encoding invented by Prof. Solomon W. Golomb that is optimal for alphabets following geometric...

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List of University of Southern California people

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appearance in Bowling for Columbine Solomon W. Golomb – mathematician, invented the Golomb coding and Golomb ruler Jane Goodall – distinguished adjunct professor...

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