Download - Module_5-ITC.ppt

Transcript
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    S0

    S1

    S2

    S3

    00 00 00 00 00 00 00

    11 11 11 11 11

    10 10 10

    01 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 6

    5+1

    7

    5+2

    Trellis Diagram

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    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

    0110

    0011

    1001

    1100

    0110

    0011

    1001

    1100

    0110

    0011

    1001

    1100

    0110

    10

    01

    10

    10

    11

    11

    00

    01

    00

    11

    10

    01

    01

    11

    00

    10

    01

    10

    01

    11

    0

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    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

    0110

    0011

    10

    0111

    00

    0110

    0011

    10

    0111

    00

    0110

    0011

    1001

    110001

    10

    10

    01

    10

    10

    11

    11

    00

    01

    00

    1110

    01

    01

    11

    00

    10

    01

    10

    01

    11

    0

    S2

    S3

    S001

    11

    Code Tree (Encoding )

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    S0

    S1

    S2

    S3

    00 00 00 00 00 00 00

    11 11 11 11 11

    10 10 10

    01 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 6

    5+1

    7

    5+2

    1 0 1 1 1

    01

    Trellis Diagram (Encoding)

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    S0

    S1

    S2

    S3

    00 00 00 00 00 00 00

    11 11 11 11 11

    10 10 10

    01 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 6

    5+1

    7

    5+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

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    S0

    S1

    S2

    S3

    00 00 00 00 00 00 00

    11 11 11 11 11

    10 10 10

    01 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 6

    5+1

    7

    5+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

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    Sequential Decoding

    Consider (2,1,1) convolutional encoder

    ( Eg:)

    C(1)

    C(2)FFP

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    S0

    S0

    S1

    S0

    S1

    S0

    S1

    S0

    S1

    S0

    S1

    S0

    S1

    S0

    S1

    11

    1

    10

    01

    00

    00

    00

    00

    11

    11

    11

    10

    01

    01

    10

    00

    00

    11

    10

    00

    11

    10

    01

    01

    00

    11

    10

    01

    10

    01

    11

    0

    t1 t1bb

    0

    bb bb1

    1

    0

    1


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