• Nenhum resultado encontrado

FREQUENCY ANALYSIS OF RLE-BLOCKS REPETITIONS IN THE SERIES OF BINARY CODES WITH OPTIMAL MINIMAX CRITERION OF AUTOCORRELATION FUNCTION

N/A
N/A
Protected

Academic year: 2017

Share "FREQUENCY ANALYSIS OF RLE-BLOCKS REPETITIONS IN THE SERIES OF BINARY CODES WITH OPTIMAL MINIMAX CRITERION OF AUTOCORRELATION FUNCTION"

Copied!
5
0
0

Texto

(1)

ɍȾɄ 621.391

ȺɇȺɅɂɁ

ɑȺɋɌɈɌɕ

ɉɈȼɌɈɊȿɇɂɃ

RLE-

ȻɅɈɄɈȼ

ȼ

ɋȿɆȿɃɋɌȼȺɏ

ȻɂɇȺɊɇɕɏ

ɄɈȾɈȼ

,

ɇȺɂɅɍɑɒɂɏ

ɉɈ

ɆɂɇɂɆȺɄɋɇɈɆɍ

ɄɊɂɌȿɊɂɘ

ȺȼɌɈɄɈɊɊȿɅəɐɂɈɇɇɈɃ

ɎɍɇɄɐɂɂ

Ⱥ.Ⱥ. Ʉɨɜɵɥɢɧ, Ⱦ.ȼ. Ɂɥɨɛɢɧ, Ⱥ.ɘ. Ɋɨɞɢɨɧɨɜ

, ,

-, .

,

.

52, .

, ,

.

Ʉɥɸɱɟɜɵɟɫɥɨɜɚ: , , ,

-, , .

ȼɜɟɞɟɧɢɟ

, ,

(2)

c . –

( ) .

, ,

. .

( ).

,

, , .

-.

, ,

-, ,

-. .

Ɉɩɬɢɦɚɥɶɧɵɟɞɢɫɤɪɟɬɧɵɟɫɢɝɧɚɥɵ

 

u t

-

 

u t u t

 

:

 

  



 

 

u

B u t u t dt.

0, 1, , 1

M

u u u u :

 

 



u j j n

j

B n u u .

:

.

[1].

-. .

: n0 . ,

, 13. [2] ,

13 , n189 260 468 001 034 441 522 766 781 604 ( . .

2·1030).

ɋɜɨɣɫɬɜɚɩɨɥɭɱɟɧɧɵɯɤɨɞɨɜ

-,

-. . 1

( ) , [3]. ,

, [3].

. 1 (+).

[3] [3]

14 2 2 72 33 3 – 1132

15 2 2 104 34 3 – 408

16 2 2 80 35 3+ 4 888

17 2 2 32 36 3+ 4 1288

18 2 2 16 37 3+ 4 440

19 2 2 8 38 3 – 136

20 2 2 24 39 3 – 240

21 2 2 24 40 3+ 4 456

22 3 3 3024 41 3+ 4 120

23 3 3 4084 42 3+ 5 32

24 3 3 6864 43 3+ 4 96

(3)

[3] [3]

26 3 3 1936 45 3 – 32

27 3 3 3096 46 3+ 5 8

28 2 2 16 47 3+ 4 8

29 3 3 2244 48 3+ 5 32

30 3 3 688 49 4 – 392704

31 3 3 2008 50 4 – 201352

32 3 – 3376 51 3 – 8

52 4 – 264464

1.

, 52

(0100101001000001011101000001001100111110011111001110).

, 51

28 , 13- ( . 1).

-, ,

.

–1 51

28 13 M

3 7 11 15 19

0 10

20 30

40 50

–10 –20 –30 –40 –50

n

B

(

n

)/max

B

(

n

)|n

0

. 1. 13, 28 51

-, , , M- ,

-, – – (GMW) [4].

21, .

( . 2).

15 16 17 31 32 33

M- 3 – – 4 – –

– 3 – – 4 –

GMW- – – 3 – – 6

2 2 2 3 3 3

(4)

Ⱥɧɚɥɢɡɤɨɞɢɪɨɜɚɧɢɹɞɥɢɧɫɟɪɢɣ

:

( ) 52 180

(4×4 3,2 ) [5].

, ,

.

RLE-

(Run-Length Encoding, ) ,

.

, .

-. ,

13 – (1111100110101), RLE

(5221111), RLE- 7, – 3.

RLE- ,

( . 2). – ,

RLE- ,

.

4 8 12 16 20 24 28 32 36 40 44 48 52

0 2 4 6 8 10 12 14

L = 2

L = 3 L = 1

L = 4

. 2. RLE- 1, 2, 3 4

,

. ,

. ( )

-. .

. ,

1, – 2,

– 3 . . [6]. ,

-2

i

i

p ,

i – .

-:

1

2 

i

i

p . (1)

. 3 ( ).

RLE- , RLE-

-.

RLE-.

.

RLE- .

,

RLE-, (1). RLE-

(1).

, ,

(5)

RLE-1 2 3 4 5 6 7 8 9 10 11 12 13

0 5 10

RLE-1 2 3 4 5 6 7 8 9 10 11 12 13

0 5 10 15 20

. 3. Д RLE- 30 ( ) 52 ( )

( – )

-. ( . 3)

-.

Ɂɚɤɥɸɱɟɧɢɟ

, 13,

,

. « »

-, .

RLE-

(1).

.

Ʌɢɬɟɪɚɬɭɪɚ

1. . ., . ., . . . , , . –

: , 2005. – 400 .

2. Mossinghoff M.J. Wieferich pairs and Barker sequences // Designs, Codes and Cryptography. – 2009. – V. 53. – № 3. – P. 149–163.

3. . . . – .: , 1975. – 200 .

4. Golomb S.W., Gong G. Signal design for good correlation for wireless communication, cryptography and radar. – US: Cambridge University Press, 2005. – 438 p.

5. . ., . ., . ., . .

//

-. . – 2010. – . 54. – № 8. – . 29–35.

6. . : . . – 2- ., . – .:

-, 2004. – 1104 .

К – , ,

kalexer@hotmail.com

– , ,

memrbomel@mail.ru

Ю – , .- . ,

Referências

Documentos relacionados

Foram inventariadas cinco comunidades pratenses de Stipo giganteae-Agrostietea castellanae, quatro das quais inéditas: Arrhenathero erianthi-Celticetum giganteae, da aliança

In order to do so, we estimate the welfare and tra ffi c e ff ects of alternative policies to be applied to the city of Sao Paulo: a congestion charge, or urban toll, and a

Após uma breve introdução a aspectos teórico práticos da Terminologia e da Linguística de Corpus, apresentamos a metodologia do processo terminológico bilingue e os resultados

At the first stage of the measurements results analysis, the gear wheel cast surface image was compared with the casting mould 3D-CAD model (fig.. Next, the measurements results

The goal of present work was the settlement of basic physical and chemical properties of cobalt aluminate powder produced by different companies (Remet, Mason Color and

Time-series analysis is characterized, as a data mining tool which facilitates understanding nature of manufacturing processes and permits prediction of future values of the

social assistance. The protection of jobs within some enterprises, cooperatives, forms of economical associations, constitute an efficient social policy, totally different from

Abstract: As in ancient architecture of Greece and Rome there was an interconnection between picturesque and monumental forms of arts, in antique period in the architecture