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參數(shù)資料
| 型號： | AN2407 |
| 廠商： | 飛思卡爾半導體(中國)有限公司 |
| 英文描述： | Reed Solomon Encoder/Decoder on the StarCore SC140/SC1400 Cores, With Extended Examples |
| 中文描述： | 里德所羅門編碼器/的StarCore SC140/SC1400核心解碼器，以擴展實例 |
| 文件頁數(shù)： | 17/48頁 |
| 文件大小： | 306K |
| 代理商： | AN2407 |
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Results
Reed Solomon Encoder/Decoder on the StarCore SC140/SC1400 Cores, With Extended Examples, Rev. 1
Freescale Semiconductor
17
Roots Search
. An evaluation of
Λ
(x)
on all field points. Each of the 256 results is subsequently
screened for zeroes.
M
in this kernel is equal to 256 and
D
is
equal to
T
+1. If the split-summation
method is applied similarly to the syndromes-calculation kernel, a second power matrix, namely the
transpose of the
exp_table_for_syndrome
matrix
,
is required
.
To conserve memory, we simply invert
the order of the loops in code
Example 1
and apply the multi-sample method instead of split-
summation. This is conceptually equivalent to interchanging the roles of
M
and
D
. Furthermore, unless
T
+ 1 is a multiple of four, the split-summation method wastes many cycles on useless calculations.
Therefore, an additional benefit gained by choosing the multi-sample method is that the cycle count
becomes directly proportional to
T
. The price of using the multi-sample method is that there are not
enough registers to complete the inner loop in five cycles. In this case, the inner loop requires six
cycles instead of five. The lower bound on the cycle count is 384
T
+ 384 cycles, not counting cycles
required for zero-screening. The zero-screening procedure is performed by reading the results byte-
wise and testing for zero. This is performed two cycles per byte and thus requires 512 additional
cycles. Summarizing these factors, the lower bound on the cycle count is 384
T
+ 896 cycles, not
including overhead.
Forney algorithm
. A series of three concatenated polynomial evaluations. However, the entries into
the power table are the error locations, which are randomly distributed. Thus, the power table is not
read continuously from the power table. This adds two cycles to the inner loop. The cycle count, not
including overhead, is at least:
5
Results
This section presents the cycle count simulation results for the various decoder routines. All results in this section
are for the case of
T
= 8.
Figure 7.
Average Cycle Count of Decoder Routines, as a Function of n
errors
7
n
errors
(
T
+
)
T
4
7
n
errors
n
4
---------------
6
T
+
+
0
2
4
6
8
0
2000
4000
6000
Syndromes Calculation
0
2
4
6
8
0
1000
2000
3000
4000
Berlekamp-Massey Algorithm
0
2
4
6
8
0
1000
2000
3000
4000
Chien Search
0
2
4
6
8
0
200
400
600
Forney Algorithm
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