一卷积码编码器如图 [tex=3.0x1.143]L8YFZ6s/FhzaxLKYZbbPY5N9Eu9eYSBQLjKGidiaupE=[/tex]所示，已知 [tex=6.357x1.214]AMGALLatZzOiO03Qz1XgWA==[/tex] 。试写出生成矩阵 [tex=0.929x1.0]rGq0+wwusEFO0LgjMJZJMvpknGyDqi+aORVwkF+3ikY=[/tex]的表达式。 [img=693x342]17a39166e7baf88.png[/img]

2022-06-09

一卷积码编码器如图 [tex=3.0x1.143]L8YFZ6s/FhzaxLKYZbbPY5N9Eu9eYSBQLjKGidiaupE=[/tex]所示，已知 [tex=6.357x1.214]AMGALLatZzOiO03Qz1XgWA==[/tex] 。试写出生成矩阵 [tex=0.929x1.0]rGq0+wwusEFO0LgjMJZJMvpknGyDqi+aORVwkF+3ikY=[/tex]的表达式。 [img=693x342]17a39166e7baf88.png[/img]

答案：

解 设此编码器的输出码流为 [tex=13.5x1.0]VtRhVsC6kFGKKFAmiHEl+hUxVaXcARoSHrr0wv2mhH8IRYuTeepIGeVIHcRqsFY2cEqqkJMz7lhHZx2vc7KnswItsqk6k13eO0hZGNoOpjI=[/tex] 则有(注意:下面的加法都是模 2 加法)[img=675x288]17a39173f17c892.png[/img][tex=19.857x1.357]NeoTBlf1CmkUoMf07Si5dGkloXgqu/s7wvCiKNPbeiGja3LlW8QsbhE/4knS21AbU0J7BhSk/xNs1oCwyDv1swDj1TVXO/DkdTqvhBUw25j+GSsNr9I9JZ5w23doU8dvnfdZy6QYrDboJ06lzmsiKK8IzVcEQRadT1pK+v5bXUQ=[/tex][tex=32.929x1.357]QDVu+1HiY56FkrUtmVUHQxC0eNT+PXZ/Qptc5192jqaUxN0dm18vjycSl5XI5WeXRQW04mgQ3wTVelpH9JiO2OijcX7pYNy4qcMkH+UY4TcoK2eczLR8xAAtyHmZIELCPrqekjt9ZjX+YZboVuYZPwGbK9TMtWDzcbsRCwXou8+t6r6gQ0bI//qe7T/UcblX1+N9UZA9+PC/nLiUnkc7uXauhYZirk0Js6B2uiSPJ3YXpZph55HU3Zgtzom42hUAcyhUlEoFJdFzi78y9w3ghvFGjNqVR30A7rcvZpLmnUVeF83JeHYdNZxXK7J+hcL5[/tex][tex=45.929x6.929]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[/tex]所以上式中的矩阵[tex=0.786x1.0]LyvDGollVJ+xwurtsLcn0g==[/tex]即为生成矩阵。

举一反三

内容

0
已知一卷积码编码器结构如图 9-6 所示, 试求: [tex=4.0x1.357]TPPp1phcK652vDy+k7qtkLJALmTsT/l7G73a3DxRnc7k20oycmy+KQAoWeXt5NFW[/tex] ?[img=417x123]17dd794950be1a0.png[/img]
1
已知一卷积码编码器结构如图 9-6 所示, 试求:若输入 [tex=4.071x1.357]RnmWS/0aCSMcAjEyhz2rrA==[/tex], 求输出[tex=1.286x0.786]DnJry+SRDp+sfFuwgS58CA==[/tex] ?[img=417x123]17dd794950be1a0.png[/img]
2
如图是由 3 线 - 8 线译码器 74LS138 和与非门构成的电路,试写出 [tex=1.0x1.214]szVnMPaRHLo99rUmmmexUw==[/tex] 和 [tex=1.0x1.214]X/bsauxa6QmmbP44POFPqQ==[/tex] 的表达式,列出真值表,说明其逻辑功能。[img=697x372]179e56d647675c9.png[/img]
3
已知一种[tex=2.071x1.357]fKtHfy5PkM/VRAijZ52i8A==[/tex] 循环码的全部码组为 [tex=18.0x2.357]CeOWlpLvH8Qhk/RmfIvBHYkVEkPOY8MuFlzJuPaF9YRDXiumO8Aw9HMXJ3FztJm0XTzE9WAIMhp/rwMwn0zTjQRGhMGd/A9A19vIj15rSms1FDLaa5aKyX8sP3SLQ3hfvZbUz3wtAMuHcY7Uc5OTtg==[/tex]试求: 该循环码的生成多项式[tex=1.857x1.357]fBOYuAIZ/H4m1Dx+my86tg==[/tex] 、典型生成矩阵[tex=0.929x1.0]rGq0+wwusEFO0LgjMJZJMvpknGyDqi+aORVwkF+3ikY=[/tex]和典型监督矩阵 [tex=1.286x1.214]Xw+l023EljiREVAQxLXBUYgCueuo+JmPgja9qBvB5/4=[/tex]
4
已知(7,4)循环码的生成多项式为 [tex=6.214x1.5]ajhTM+YYfvaFCB+YvrFXh2e92QY7OzIEJNEhAkI/sU8=[/tex] 求典型的生成矩阵 [tex=0.929x1.0]rGq0+wwusEFO0LgjMJZJMvpknGyDqi+aORVwkF+3ikY=[/tex]和监督矩阵[tex=1.0x1.0]5cCYlc8KT4YbU5w753RaBuepE+1r6xIU/VfSPN0Fj+0=[/tex]