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Exponential-Golomb coding : ウィキペディア英語版
Exponential-Golomb coding
An exponential-Golomb code (or just Exp-Golomb code) is a type of universal code. To encode any nonnegative integer ''x'' using the exp-Golomb code:
# Write down ''x''+1 in binary
# Count the bits written, subtract one, and write that number of starting zero bits preceding the previous bit string.
The first few values of the code are:
0 ⇒ 1 ⇒ 1
1 ⇒ 10 ⇒ 010
2 ⇒ 11 ⇒ 011
3 ⇒ 100 ⇒ 00100
4 ⇒ 101 ⇒ 00101
5 ⇒ 110 ⇒ 00110
6 ⇒ 111 ⇒ 00111
7 ⇒ 1000 ⇒ 0001000
8 ⇒ 1001 ⇒ 0001001
...〔
This is identical to the Elias gamma code of ''x''+1, allowing it to encode 0.
==Extension to negative numbers==
Exp-Golomb coding for ''k'' = 0 is used in the H.264/MPEG-4 AVC and H.265 High Efficiency Video Coding video compression standards, in which there is also a variation for the coding of signed numbers by assigning the value 0 to the binary codeword '0' and assigning subsequent codewords to input values of increasing magnitude (and alternating sign, if the field can contain a negative number):
0 ⇒ 0 ⇒ 1 ⇒ 1
1 ⇒ 1 ⇒ 10 ⇒ 010
−1 ⇒ 2 ⇒ 11 ⇒ 011
2 ⇒ 3 ⇒ 100 ⇒ 00100
−2 ⇒ 4 ⇒ 101 ⇒ 00101
3 ⇒ 5 ⇒ 110 ⇒ 00110
−3 ⇒ 6 ⇒ 111 ⇒ 00111
4 ⇒ 7 ⇒ 1000 ⇒ 0001000
−4 ⇒ 8 ⇒ 1001 ⇒ 0001001
...
In other words, a non-positive integer ''x''≤0 is mapped to an even integer −2''x'', while a positive integer ''x''>0 is mapped to an odd integer 2''x''−1.
Exp-Golomb coding is also used in the Dirac video codec.〔(【引用サイトリンク】url=http://diracvideo.org/download/specification/dirac-spec-latest.pdf )

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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