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第7章 信 道 编 码 PowerPoint PPT Presentation


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第7章 信 道 编 码. 7.1 信道编码的基本概念 7.2 线性分组码 7.3 循 环 码 7.4 BCH 码 7.5 卷 积 码 7.6 纠正突发错误码 7.7 交 织 码 7.8 级 连 码 *7.9 信道编码的性能界限 *7.10 实际信道编码应用 7.11 Turbo 码 7.12 高效率信道编码 TCM. 7.1 信道编码的基本概念.

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第7章 信 道 编 码

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7

7

  • 7.1

  • 7.2

  • 7.3

  • 7.4 BCH

  • 7.5

  • 7.6

  • 7.7

  • 7.8

  • *7.9

  • *7.10

  • 7.11 Turbo

  • 7.12 TCM


7

7.1


7


7

    • 1.

    • 2.

    • 3.


7

  • kn(nk)(nk)nkrn-k


7

  • FEC


7

  • 90TurboLDPCShannon


7

7.2

  • kn(nk)

  • fGF(2k)GF(2n)


7

  • (1) S2k()

  • (2) 2k()


7

  • (3) S2n-k2k

  • (4)


7

7.3

  • (nk)


7

  • n

  • c=(c0c1cn-1)

  • n-1

  • c(x)=c0+c1x++cn-1xn-1

  • cc(x)


7


7

  • CRCCyclic Redundancy Cheek

  • CRC


7

  • (1) n-k+1

  • (2) n-k+12-(n-k-1)

  • (3) n-k+12-(n-k)

  • (4) dmin1

  • (5)


7

  • CRC4

  • CRC12

  • CRC16

  • CRC-CCITT

  • CRC32

  • CRC126bit38bitCRC


7 4 bch

7.4 BCH

  • BCH1959(Hocquenghem)(Bose)(Chaudhuri)3BCHBCH


7

  • BCHBCH(1+x)(n+1,k+1)BCHBCHBCH1BCH(2312)(2412)34


7

  • 1g(x)t

  • 2t

  • 3

  • 4


7

7.5

  • 1955(Elias)1957(Wozencraft)1963(Massey)1967(Viterbi)


7

  • 7.5.1

  • knm7-5-1


  • 7

    7-5-1


    7

    • u(u0u1u2)

    • c(c0c1c)

    • c(c0c1c)

    • cu*g

    • cu*g

    • *gg


    7

    • 7.5.2

  • 1967(Viterbi)(omura)(Forney)


  • 7


    7

    • l=m

    • l1l=m+1

    • lL+m=5+2=7


    7

    • (1) (n,k,m)2km2km2km(u)y=(y0y1y2yj-1)djkmm10

    • (2) KLL


    7

    • BSC0 1(Q=2m)Q


    7

    • *7.5.3

  • dfn,kNdfdf


  • 7

    7.6

    • (Fire)RSRS


    7

    • (Hagelberger)(Iwadare)(Messey)(Wyner)(Ash)(Berlekemp)(preparatc)


    7

    7.7

    • RS ()


    7

    • X(x1x2x24x25) X 55 55


    7

    • LMN

    • (MN)LMN


    7

    • (1) lMN-1

    • (2) lMll1l / M


    7

    • (3) 2MNMNMN

    • (4) M


    7

    7.8


    7

    • (Forney)

    • k1k2k2k1k1(n1,k1)c1k2RS(n2,k2)c2


    7

    • 1984NASA(217)(255223)RS


    7

    *7.9


    7

    • *7.9.1


  • 7

    • *7.9.2

  • (Berlekamp)3


  • 7

    *7.10

    • AWGN


    7

    • GSM3

    • (1) ()+0


    7

    • (2) 1+TCH/FS+

    • (3) (RACHSCH)


    7

    • 1.()

  • 20ms260bit50bit(A)(53502)

  • g(x)=1xx3

  • 3p(0),p(1),p(2)

  • d(0)x52+d(1)x51++d(49)+p(0)x2+p(1)x+p(2)


  • 7

    • 2.()

  • 189bit1[]2(214)

  • g0(x)=1x3+x4

  • g1(x)=1+x+x3+x4

    • 3.


  • 7 11 turbo

    7.11 Turbo

    • 1993BerrouICCTurbo/ShannonBER10-5TurboTurbo


    7

    • 1.

  • TurboShannonShannon

    • 1 Shannon

  • 1948C.E.ShannonShannon


  • 7

    • Shannon

    • L


    7

    • 2

    • 1996Forney


    7

    • RS


    7

    • 3

  • O2kO2n-kk

  • 10


  • 7

    • Turbo1997BablBCJR

    • ForneyRC


    7

    • 4

  • 2 dB

  • 01m=2n

  • 7-11-1


  • 7

    • BCJRRS/SISO


    7

    • c1=f(x)c2=g(c1)xc2


    7

    • 2. Turbo

  • 1 TurboTurbo1993ICCC.Berrou,A.ClavieuxP.ThitimajshlwaTurbo

  • 2 Turbo


  • 7

    • 3 Turbo

    • 4

    • Turbo

    • Turbo


    7 12 tcm

    7.12 TCM

    • 1. TCM

  • 04kHzUngerboeckTCM


  • 7

    • 1

    • 2 MASKMPSKMQAM


    7

    • 3


    7

    • 2.

  • Shannon


  • 7

    • 3. Ungerboeck

  • 1982UngerboeckUB


  • 7

    • 4. TCM

  • TCM


  • 7

    • 1 1

    • 2


    7

    • 5. TCM

  • UngerboeckTCM04kHz1986ITU-TWei8324V.32V.33Wei16325V.34


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