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有关差错编码问题,请各位大神帮忙。
A(15,11)codeisdefinedbythefollowingparitycheckequations:c1=u1+u4+u5+u7+u9+u10+u11c2=u...
A
(15,11) code is defined by the following parity check equations:
c1 = u1 + u4 + u5 +
u7 + u9 + u10 + u11
c2 = u1 + u2 + u4 +
u6 + u7 + u8 + u9
c3 = u2 + u3 + u5 +
u7 + u8 + u9 + u10
c4 = u3 + u4 + u6 +
u8 + u9 + u10 + u11
The receiving system detects an incoming message,
r, as “111010110011010”, where the message format is: c1 c2 c3 c4
u1 u2 u3 u4 u5 u6
u7 u8 u9 u10 u11
1. Is the message a valid codeword? Your answer must show
how you’ve arrived at the conclusion.
2. If not, what is the correct codeword?
3. Draw the Syndrome Mapping circuit of a Decoder
receiving the (15,11) code described here. 展开
(15,11) code is defined by the following parity check equations:
c1 = u1 + u4 + u5 +
u7 + u9 + u10 + u11
c2 = u1 + u2 + u4 +
u6 + u7 + u8 + u9
c3 = u2 + u3 + u5 +
u7 + u8 + u9 + u10
c4 = u3 + u4 + u6 +
u8 + u9 + u10 + u11
The receiving system detects an incoming message,
r, as “111010110011010”, where the message format is: c1 c2 c3 c4
u1 u2 u3 u4 u5 u6
u7 u8 u9 u10 u11
1. Is the message a valid codeword? Your answer must show
how you’ve arrived at the conclusion.
2. If not, what is the correct codeword?
3. Draw the Syndrome Mapping circuit of a Decoder
receiving the (15,11) code described here. 展开
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