Medium Access Control (MAC) and Physical Layer (PHY) - CISE

4-June-07 P1901_PRO_016_r0
L is given by the formula:
⎢
L = ⎢
⎣
( ) ⎥ ki
+ 2*
t ⎦
Submission page 45 UPA-OPERA
4*
APL
Equation 12
For each Reed-Solomon codeword, as in delimiter coding, (n-k) parity symbols pn-k-1, pn-k-2, … , p0 shall be
appended to k message symbols mk-1, mk-2, … , m0 to form a Reed-Solomon codeword mk-1, mk-2, … , m0, pn-k-1,
pn-k-2, … , p0, where symbol mk-1 is the first in time out of the Reed-Solomon encoder and the first in time of the
uncoded data payload. Each of the symbols belongs to the Galois Field GF(2 8 ), and it is then represented in its
binary form with eight bits. On the other hand, n and k variables depend on the selected RS data mode, taken
from Table 1 and Table 2. The parity symbols shall be computed from the message symbols using the equation:
Where
Is the message polynomial,
P
M
n−k
P(
x)
= M ( x)
x mod g(
x)
Equation 13
k −1
k −2
( x)
= mk
− 1 x + mk
−2
x + ... + m1x
+ m0
Equation 14
n−k
−1
n−k
−2
( x)
= pn
− k −1
x + pn−
k −2
x + ... + p1x
+ p0
Equation 15
Is the parity polynomial and g(x) is the code generator polynomial of the Reed-Solomon code, given by Table 1
The field generator polynomial associated with the Reed-Solomon code is given by:
8 4 3
f ( x)
= x + x + x + x
Equation 16
⎥
2
+ 1