Integer-Output RS Decoder HDL Optimized

Decode data using Reed-Solomon (RS) decoder

• 

Libraries:
Communications Toolbox HDL Support / Error Detection and Correction / Block

Description

The Integer-Output RS Decoder HDL Optimized block decodes data using RS decoder. The RS decoding follows the same standards as any other cyclic redundancy code. Use this block to model communications system forward error correction (FEC) codes. The block provides an architecture suitable for HDL code generation and hardware deployment.

For more information about the RS decoder, see the Integer-Output RS Decoder block. For more information on representing data for RS codes, see Integer Format (Reed-Solomon Only).

Examples

Using HDL Optimized RS Encoder/Decoder Library Blocks

Implement encoder and decoder for the IEEE® 802.16 standard [ 1 ] using the HDL Optimized Reed-Solomon (RS) Encoder and Decoder library blocks.

• Open Model

Ports

Input

dataIn — Input data

scalar

Input data, specified as a scalar representing one symbol. For binary point scaling, the input data type must be an unsigned integer or an unsigned fixed point. The double data type is allowed for simulation, but not for HDL code generation.

Data Types: double | uint8 | uint16 | uint32 | uint64 | fixed point

startIn — Start of input frame indicator

scalar

Start of input frame indicator, specified as a Boolean scalar.

Data Types: Boolean

endIn — End of input frame indicator

scalar

End of input frame indicator, specified as a Boolean scalar.

Data Types: Boolean

validIn — Valid input data indicator

scalar

Valid input data indicator, specified as a Boolean scalar.

This is a control signal that indicates if the data on the dataIn port is valid.

Data Types: Boolean

Output

dataOut — Decoded message data

scalar

Decoded message data, returned as a scalar. This output data width is the same as the input data width.

Data Types: double | uint8 | uint16 | uint32 | uint64 | fixed point

startOut — Start of output frame indicator

scalar

Start of output frame indicator, returned as a Boolean scalar.

Data Types: Boolean

endOut — End of output frame indicator

scalar

End of output frame indicator, returned as a Boolean scalar.

Data Types: Boolean

validOut — Valid output data indicator

scalar

Valid output data indicator, returned as a Boolean scalar.

This is a control signal that indicates if the data on the dataOut port is valid.

Data Types: Boolean

errOut — Indications of corruption of received data

scalar

Indications of corruption of the received data, returned as a Boolean scalar.

When this value is 1 (true) , the output contains at least one error. When this value is 0 (false), the output contains zero errors.

If the number of errors in the input codeword is greater than (Codeword length – Message length)/2, the block outputs data without correcting the errors and sets the errOut port to 1 (true) to indicate that errors that cannot be corrected exist in the input codeword.

Data Types: Boolean

numErrors — Number of corrected errors

nonnegative scalar

Number of corrected errors, returned as a nonnegative scalar.

The maximum number of errors an RS code can correct is equal to (Codeword length – Message length)/2. If the number of errors in the input codeword is greater than (Codeword length – Message length)/2, the block outputs data without correcting the errors and sets the numErrors port to 0 to indicate that none of those errors can be corrected.

Dependencies

To enable this port, select the Output number of corrected symbol errors parameter.

Data Types: uint8

Parameters

Codeword length — Length of codeword

7 (default) | range from 7 to 65, 535

Specify the codeword length.

The codeword length N must be an integer equal to 2^M – 1, where M is an integer in the range from 3 to 16. For more information on representing data for RS codes, see Integer Format (Reed-Solomon Only).

Message length — Length of message

3 (default) | positive integer

Specify the message length.

For more information on representing data for RS codes, see Integer Format (Reed-Solomon Only).

Source of primitive polynomial — Primitive polynomial source

Auto (default) | Property

Specify the source of the primitive polynomial.

• Select Auto to specify the primitive polynomial based on the Codeword length parameter value. The degree of the primitive polynomial is calculated as M = ceil(log₂(Codeword length).

• Select Property to specify the primitive polynomial using the Primitive polynomial parameter.

Primitive polynomial — Primitive polynomial

[ 1 0 1 1 ] (default) | binary row vector

Specify a binary row vector representing the primitive polynomial in descending order of powers.

For more information on how to specify a primitive polynomial, see Primitive Polynomials and Element Representations.

Dependencies

To enable this parameter, set the Source of primitive polynomial parameter to Property.

Source of B, the starting power for roots of the primitive polynomial — Source of starting power for roots of primitive polynomial

Auto (default) | Property

Specify the source of the starting power for roots of the primitive polynomial.

• Select Property to enable the B value parameter.

• Select Auto, to use the B value parameter default value of 1.

B value — Starting exponent of roots

1 (default) | positive integer

The starting exponent of the roots.

Dependencies

To enable this parameter, set the Source of B, the starting power for roots of the primitive polynomial parameter to Property.

Output number of corrected symbol errors — Number of corrected symbol errors

off (default) | on

Select this parameter to enable the numErrors output port. This port outputs the number of corrected errors.

Algorithms

This figure shows a sample output of the Integer-Output RS Decoder HDL Optimized block with a default configuration.

Points to Consider

• Each input frame must contain symbols less than or equal to Codeword length. A shortened code is inferred when the number of valid data samples between startIn and endIn is less than Codeword length.

• To get a proper output for two sequential input frames, the gap between the frames must be greater than the sum of the block latency and the Message length.

• The generator polynomial is not specified explicitly. However, it is defined by the Codeword length, Message length, and the B value for the starting exponent of the roots.

Performance

The performance of the synthesized HDL code varies with the target and synthesis options. It also varies based on the input data type.

This table shows the resource and performance data synthesis results when you provide an input data type of uint8, specify the Code length parameter as 255, and Message length parameter as 223. The generated HDL is targeted to the AMD^® Zynq^®- 7000 ZC706 evaluation board. The design achieves a clock frequency of 58.09 MHz.

Resource	Number Used
Slice LUTs	8882
Slice Registers	5399
DSPs	0
Block RAMs	1

Extended Capabilities

C/C++ Code Generation

Generate C and C++ code using Simulink® Coder™.

Usage notes and limitations:

• Not recommended for production code.

HDL Code Generation

Generate VHDL, Verilog and SystemVerilog code for FPGA and ASIC designs using HDL Coder™.

HDL Coder™ provides additional configuration options that affect HDL implementation and synthesized logic.

HDL Architecture

This block has one default HDL architecture.

HDL Block Properties

ConstrainedOutputPipeline	Number of registers to place at the outputs by moving existing delays within your design. Distributed pipelining does not redistribute these registers. The default is 0. For more details, see ConstrainedOutputPipeline (HDL Coder).
InputPipeline	Number of input pipeline stages to insert in the generated code. Distributed pipelining and constrained output pipelining can move these registers. The default is 0. For more details, see InputPipeline (HDL Coder).
OutputPipeline	Number of output pipeline stages to insert in the generated code. Distributed pipelining and constrained output pipelining can move these registers. The default is 0. For more details, see OutputPipeline (HDL Coder).

Restrictions

You cannot generate HDL for this block inside a Resettable Synchronous Subsystem (HDL Coder).

Version History

Introduced in R2012b

R2023b: Added resource and performance data synthesis results

Added a new section with resource and performance data synthesis results for the Integer-Output RS Decoder HDL Optimized block.