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參數資料
| 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： | 10/48頁 |
| 文件大小： | 306K |
| 代理商： | AN2407 |
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Reed Solomon Encoder/Decoder on the StarCore SC140/SC1400 Cores, With Extended Examples, Rev. 1
10
Freescale Semiconductor
SC140 Core Overview
An alternative way to interpret
P
E>T
is as the ratio of uncorrectable encoded blocks to the total number of received
blocks, as the latter tends to infinity. A decoding error happens when an uncorrectable error is not recognized as
such, and the whole block is decoded into another valid code word. The probability
P
m
of a miscorrection is
bounded by
In typical applications with
m =
8, the miscorrection rate
P
m
is about five orders of magnitude less than
P
E>T
. The
curves in
Figure 4
, below, depict the probability of uncorrectable error for a block length
N
fixed to 255 and
T
varying from 1 to 8, as a function of the channel bit-error rate.
Figure 4.
Probability of Uncorrectable Error Versus Bit-Error Rate
Notice that for bit-error rates below 10
–2
, the curve exhibits a very steep slope. This is characteristic for good
codes. It implies that the chances of encountering an uncorrectable error decrease drastically with only a
moderately improved bit-error rate.
3
SC140 Core Overview
The SC140 core (see
Figure 5
) is a programmable high-performance DSP core that uses parallelism to execute
multiple instructions in one clock cycle, running currently at 275 MHz and, eventually, at 400 MHz.
P
m
1
T
!
----
P
E
T
>
≤
10–8
10–6
10–4
10–2
100
10–15
10–10
10–5
100
Channel Bit-Error Rate
T=1
T=2
T=4
T=8
PE>T
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