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参考书《数据压缩导论(第4版)》 Page 121 7,8

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7、使用LZ77算法对一个序列进行编码。给定C(a)=1,C(p)=2,C(r)=3,C(t)=4。对已下三元组序列进行解码:

       <0,0,3> <0,0,1> <0,0,4> <2,8,2> <3,1,2> <0,0,3> <6,4,4> <9,5,4>

      假定窗口的大小为20,先行缓冲区的大小为10.对解码所得到的序列进行编码,确保得到相同的三元组序列。

       解:窗口大小为20,前向缓冲区大小为10,搜索窗口大小10。

             C(a) = 1, C( ) = 2, C(r) = 3, C(t) = 4

解码过程:   

      输入                                       输出:

       <0, 0, 3>                              r

      <0, 0, 1>                              ra

      <0, 0, 4>                              rat

      <2, 8, 2>                              ratatatatat

      <3, 1, 2>                              ratatatatat a

      <0, 0, 3>                              ratatatatat a r

      <6, 4, 4>                              ratatatatat a rat at

      <9, 5, 4>                              ratatatatat a rat at a rat

编码过程:输入序列:ratatatatat a rat at a rat

       输入                                          输出:

      ||ratatatatat a rat at a rat            <0, 0, 3>

      |r|atatatatat a rat at a rat            <0, 0, 1>

      |ra|tatatatat a rat at a rat            <0, 0, 4>

      |rat|atatatat a rat at a rat            <2, 8, 2>

      ra|tatatatat |a rat at a rat            <3, 1, 2>

      rata|tatatat a |rat at a rat                 <0, 0, 3>

      ratat|atatat a r|at at a rat                 <6, 4, 4>

      ratatatata|t a rat at|a rat            <9, 5, 4>

编码输出的三元组与解码输入的三元组完全一样。

8、给定以下初始词典和接收序列,构建一个LZW词典,并对所发送的序列进行解码。

         接收序列:4,5,3,1,2,8,2,7,9,7,4

         初始词典:

索引

1

 S

2

P

3

I

4

T

5

H

接收到的序列:4, 5, 3, 1, 2, 8, 2, 7, 9, 7, 4

输入:4, 5, 3, 1, 2, 8, 2, 7, 9, 7, 4

字典:                                              解码出的序列:T

1

S

2

 

3

I

4

T

5

H

输入:4, 5, 3, 1, 2, 8, 2, 7, 9, 7, 4

字典:                                              解码出的序列:TH

1

S

2

 

3

I

4

T

5

H

6

TH

 

输入:4, 5, 3, 1, 2, 8, 2, 7, 9, 7, 4

字典:                                              解码出的序列:THI

1

S

2

 

3

I

4

T

5

H

6

TH

7

HI

 

输入:4, 5, 3, 1, 2, 8, 2, 7, 9, 7, 4

字典:                                              解码出的序列:THIS

1

S

2

 

3

I

4

T

5

H

6

TH

7

HI

8

IS

 

输入:4, 5, 3, 1, 2, 8, 2, 7, 9, 7, 4

字典:                                              解码出的序列:THIS

1

S

2

 

3

I

4

T

5

H

6

TH

7

HI

8

IS

9

S

 

输入:4, 5, 3, 1, 2, 8, 2, 7, 9, 7, 4

字典:                                              解码出的序列:THIS IS

1

S

2

 

3

I

4

T

5

H

6

TH

7

HI

8

IS

9

S

10

 I

 

输入:4, 5, 3, 1, 2, 8, 2, 7, 9, 7, 4

字典:                                              解码出的序列:THIS IS

1

S

2

 

3

I

4

T

5

H

6

TH

7

HI

8

IS

9

S

10

 I

11

IS

 

输入:4, 5, 3, 1, 2, 8, 2, 7, 9, 7, 4

字典:                                              解码出的序列:THIS IS HI

1

S

2

 

3

I

4

T

5

H

6

TH

7

HI

8

IS

9

S

10

 I

11

IS

12

 H

 

输入:4, 5, 3, 1, 2, 8, 2, 7, 9, 7, 4

字典:                                              解码出的序列:THIS IS HIS

1

S

2

 

3

I

4

T

5

H

6

TH

7

HI

8

IS

9

S

10

 I

11

IS

12

 H

13

HIS

 

输入:4, 5, 3, 1, 2, 8, 2, 7, 9, 7, 4

字典:                                              解码出的序列:THIS IS HIS HI

1

S

2

 

3

I

4

T

5

H

6

TH

7

HI

8

IS

9

S

10

 I

11

IS

12

 H

13

HIS

14

S H

 

输入:4, 5, 3, 1, 2, 8, 2, 7, 9, 7, 4

字典:                                              解码出的序列:THIS IS HIS HIT

1

S

2

 

3

I

4

T

5

H

6

TH

7

HI

8

IS

9

S

10

 I

11

IS

12

 H

13

HIS

14

S H

15

HIT

参考书《数据压缩导论(第4版)》 Page 121 7,8

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原文地址:http://www.cnblogs.com/Ray7/p/4847100.html

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