Xilinx V2.1 manual Viterbi Decoder, Latency, Xilinx LogiCore, Xilinx Development System

Models: V2.1

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Viterbi Decoder

Xilinx System Generator v2.1 Reference Guide

Other parameters used by this block are described in the Common Parameters section of the previous chapter.

The RS Encoder block cannot be placed in an enabled subsystem in System Generator v2.1. See the Enabled Subsystems section (within the MATLAB I/O library documentation) explanation for more details.

Latency

The RS Encoder has a 6 sample period latency for CCSDS code specification and a 4 sample period latency for all other specifications.

Xilinx LogiCore

The RS Encoder block uses Xilinx LogiCORE RS Encoder v2.0.

The Core datasheet can be found on your local disk at:

%XILINX%\coregen\ip\xilinx\eip1\com\xilinx\ip\rs_encoder_v2_0\ doc\rs_encoder.pdf

This is a licensed core, available for purchase on the Xilinx web site at:

http://www.xilinx.com/ipcenter/reed_solomon

Viterbi Decoder

The Xilinx Viterbi Decoder block is used for decoding convolutionally encoded data. The first step in decoding is to assess the cost of the incoming data against all possible data input combinations. Either the Hamming or Euclidean metric is used to determine the cost. The cost determines the distance to each state in the Viterbi trellis. The second and final decoding step is to trace backwards through the trellis and determine the optimal path. The

length of the trace through the trellis is determined from the traceback length parameter.

The Viterbi Decoder has a lower error rate when given optimal convolution codes. On the Convolutional Encoder, the convolution codes are used to select which bits in the constraint register are XORed to generate the encoded output. The convolution codes must match those on the corresponding convolutional encoder. When using sub- optimal codes, the opposite path has the same cost as the desired path in the Viterbi trellis and decoding errors will result. The following table provides a list of optimal codes. The constraint length is inferred from the length of the convolution code.

Constraint

Optimal convolution codes for

Optimal convolution codes for

length

decoding 1/2 rate encoders

decoding 1/3 rate encoders

3

111,101

111,111,101

 

 

 

4

111,1011

111,1011,1101

 

 

 

5

11111,11011

11111,11011,10101

 

 

 

6

101111, 110101

101111, 110101,111001

 

 

 

7

1001111,1010111

1001111,1010111,1101101

 

 

 

8

11101111, 10011011

11101111, 10011011, 10101001

 

 

 

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Xilinx Development System

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Image 68
Xilinx V2.1 manual Viterbi Decoder, Latency, Xilinx LogiCore, Xilinx System Generator v2.1 Reference Guide