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Table 3

Values

w

s

in the “Search” mode at

p

r

= 10

2

and

p

r

= 10

3

n ε

s

b

p

cs

p

fs

F

T

W w

s

p

r

= 10

2

16 0 145 0.851 1.53

10

5

0.002

0.997

0.002 1.177

16 1 145 0.989 0.0002 0.036

0.962

0.037 1.049

16 2 145 0.999

0.002 0.261

0.738

0.261 1.355

16 3 145 0.999

0.010 0.787

0.212

0.787 4.713

16 4 145

1

0.0384 0.996

0.003

0.996 292.564

16 5 145

1

0.105

1

1.02

10

7

1

9764587

16 6 145

1

0.227

1 1.11

10

16

1 9.01

10

15

p

r

= 10

3

16 0 145 0.9849 1.53

10

5

0.002

0.997

0.002 1.018

16 1 145 0.999 0.0002 0.036

0.963

0.036 1.038

16 2 145 0.999

0.002 0.261

0.738

0.261 1.354

16 3 145

1

0.010 0.787

0.212

0.787 4.713

16 4 145

1

0.038 0.996

0.003

0.996 292.564

16 5 145

1

0.105

1

1.02

10

7

1

9764587

16 6 145

1

0.227

1 1.11

10

16

1 9.01

10

15

Table 4

Value

w

s

in the “Search” state

p

r

= 0

.

1

ε

s

Theoretical values

w

s

Experimental values

w

s

p

d

= 0

p

d

= 0

p

d

= 10

4

p

d

= 10

3

p

d

= 10

2

0

5.408549

5.15

5.4

4.4

5

1

2.017249

1.69

2.12

1.76

1.84

It should be noted that the parameters of the synchronizer calculated

from the experimental data match the theoretical ones.

For the considered case in the “Search” mode it is recommended to

select

ε

s

= 1

.

Analysis of the synchronizer in the “Test” mode.

Upon detecting the

synchronization code in the “Search” mode, the synchronizer enters the

“Test” mode. If the number of the detected successive markers reaches

a predetermined value in the “Test” mode, the system switches to the

“Capture” mode.

Let

R

=

probability of exitting the “Search” and “Test” modes with the false

synchronization decision after

ω

v

frames

“Search” and “Test” modes with the correct synchronization

decision after

ω

v

frames

,

ISSN 0236-3933. HERALD of the BMSTU. Series Instrument Engineering. 2015. No. 2 125