S0 S1 S2 S3 00 11 10 01 10 11 00 01 J0123456 5+1 7 5+2 Trellis Diagram.
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Transcript of S0 S1 S2 S3 00 11 10 01 10 11 00 01 J0123456 5+1 7 5+2 Trellis Diagram.
![Page 1: S0 S1 S2 S3 00 11 10 01 10 11 00 01 J0123456 5+1 7 5+2 Trellis Diagram.](https://reader036.fdocuments.in/reader036/viewer/2022082805/55141d79550346dd488b5681/html5/thumbnails/1.jpg)
S0
S1
S2
S3
00 00 00 00 00 00 00
11 11 11 11 11
10 10 1001 01 01 01
10 10 10 10 10
11 11 11 11 1100 00 00
01 01 01
J 0 1 2 3 4 5 65+1
75+2
Trellis Diagram
![Page 2: S0 S1 S2 S3 00 11 10 01 10 11 00 01 J0123456 5+1 7 5+2 Trellis Diagram.](https://reader036.fdocuments.in/reader036/viewer/2022082805/55141d79550346dd488b5681/html5/thumbnails/2.jpg)
Code Tree
S0
S0
S2
S0
S2
S1
S3
S0
S2
S1
S3
S0
S2
S1
S3
00
1
10
01
00
00
00
00 00
11
11
11
11
1001
1100
011000
11
1001
1100
0110
0011
1001
1100
011000
11
1001
1100
0110
10
01
10
10
11
11
00
01
00
11
10
01
01
11
00
10
01
10
01
11
0
![Page 3: S0 S1 S2 S3 00 11 10 01 10 11 00 01 J0123456 5+1 7 5+2 Trellis Diagram.](https://reader036.fdocuments.in/reader036/viewer/2022082805/55141d79550346dd488b5681/html5/thumbnails/3.jpg)
S0
S0
S2
S0
S2
S1
S3
S0
S2
S1
S3
S0
S2
S1
S3
00
1
10
01
00
00
00
00 00
11
11
11
11
1001
1100
011000
11
1001
1100
0110
0011
1001
1100
0110
0011
1001
1100
0110
10
01
10
10
11
11
00
01
00
11
10
01
01
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00
10
01
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01
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0
S2
S3
S0
01
11
Code Tree (Encoding )
![Page 4: S0 S1 S2 S3 00 11 10 01 10 11 00 01 J0123456 5+1 7 5+2 Trellis Diagram.](https://reader036.fdocuments.in/reader036/viewer/2022082805/55141d79550346dd488b5681/html5/thumbnails/4.jpg)
S0
S1
S2
S3
00 00 00 00 00 00 00
11 11 11 11 11
10 10 1001 01 01 01
10 10 10 10 10
11 11 11 11 1100 00 00
01 01 01
J 0 1 2 3 4 5 65+1
75+2
1 0 1 1 1
01
Trellis Diagram (Encoding)
![Page 5: S0 S1 S2 S3 00 11 10 01 10 11 00 01 J0123456 5+1 7 5+2 Trellis Diagram.](https://reader036.fdocuments.in/reader036/viewer/2022082805/55141d79550346dd488b5681/html5/thumbnails/5.jpg)
S0
S1
S2
S3
00 00 00 00 00 00 00
11 11 11 11 11
10 10 1001 01 01 01
10 10 10 10 10
11 11 11 11 1100 00 00
01 01 01
J 0 1 2 3 4 5 65+1
75+2
1011 00 01 10 01 11
(2)
(0)
(3)
(3)
(0)
(2)
(3)(2)
(5)(0)
(4)(2)
(4)(3)
(3)(3)
(3)(3)
(2)(4)
(0)(5)
(4)(3)
(4)(3)
(3)(1)
(5)(0)
1
01
1
1
Viterbi Algorithm
![Page 6: S0 S1 S2 S3 00 11 10 01 10 11 00 01 J0123456 5+1 7 5+2 Trellis Diagram.](https://reader036.fdocuments.in/reader036/viewer/2022082805/55141d79550346dd488b5681/html5/thumbnails/6.jpg)
S0
S1
S2
S3
00 00 00 00 00 00 00
11 11 11 11 11
10 10 1001 01 01 01
10 10 10 10 10
11 11 11 11 1100 00 00
01 01 01
J 0 1 2 3 4 5 65+1
75+2
1011 01 01 10 01 11
(2)
(0)
(3)
(3)
(0)
(2)
(4)(3)
(4)(1)
(5)(3)
(3)(4)
(4)(4)
(4)(4)
(3)(4)
(1)(5)
(5)(4)
(5)(4)
(4)(2)
(6)(1)
1
01
1
1
Viterbi Algorithm
![Page 7: S0 S1 S2 S3 00 11 10 01 10 11 00 01 J0123456 5+1 7 5+2 Trellis Diagram.](https://reader036.fdocuments.in/reader036/viewer/2022082805/55141d79550346dd488b5681/html5/thumbnails/7.jpg)
Sequential Decoding
• Consider (2,1,1) convolutional encoder
( Eg:)
C(1)
C(2)FFP
![Page 8: S0 S1 S2 S3 00 11 10 01 10 11 00 01 J0123456 5+1 7 5+2 Trellis Diagram.](https://reader036.fdocuments.in/reader036/viewer/2022082805/55141d79550346dd488b5681/html5/thumbnails/8.jpg)
S0
S0
S1
S0
S1
S0
S1
S0
S1
S0
S1
S0
S1
S0
S1
11
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10
01
00
00
00
00
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01
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1
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