# NR CRC Decoder

Detect errors in input data using CRC

• Library:
• Wireless HDL Toolbox / Error Detection and Correction

## Description

The NR CRC Decoder block calculates the cyclic redundancy check (CRC) checksum and compares it with the appended CRC checksum for each frame of streaming data samples. If the two CRC checksums do not match, the block reports an error. The block accepts and returns a data sample stream with accompanying control signals. The control signals indicate the validity of the samples and the boundaries of the frame.

The block supports scalar and vector inputs and outputs data as either a scalar or vector based on the input data. To achieve higher throughput, the block accepts a binary vector or unsigned integer scalar input and implements a parallel architecture. The input data width must be less than or equal to the length of the CRC polynomial, and the length of the CRC polynomial must be divisible by the input data width. The block supports all CRC polynomials specified according to the 5G new radio (NR) standard 3GPP TS 38.212 [1]. When you select the CRC24C polynomial, the block supports dynamic CRC mask.

The block provides an interface and hardware-optimized architecture suitable for HDL code generation and hardware deployment.

## Ports

### Input

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CRC-encoded data, specified as a binary scalar, binary vector, or unsigned integer scalar.

You can specify the input data with one of these options:

• Scalar – Specify an integer representing several bits. For this case, the block supports unsigned integer (uint8, uint16, or ufixN) and Boolean data types.

• Vector – Specify a vector of binary values of size N. For this case, the block supports Boolean and ufix1 data types.

N is the input data width, and it must be less than or equal to the length of the CRC polynomial and a factor of the specified CRC polynomial length.

double and single data types are supported for simulation, but not for HDL code generation.

Example: For the CRC type CRC24A, the valid data widths are 24, 12, 8, 6, 4, 3, 2, and 1. An integer input is interpreted as a binary word. For example, when you specify a uint8 input of 19, it is equivalent to a vector input [0 0 0 1 0 0 1 1].

Data Types: double | single | ufix1 | uint8 | uint16 | Boolean | ufixN

Control signals accompanying the sample stream, specified as a samplecontrol bus. The bus includes the start, end, and valid control signals, which indicate the boundaries of the frame and the validity of the samples.

• start — Indicates the start of the input frame

• end — Indicates the end of the input frame

• valid — Indicates that the data on the input data port is valid

For more detail, see Sample Control Bus.

Data Types: bus

CRC checksum mask, specified as a nonnegative integer representing a binary word from 0 to 2CRCLength – 1, where CRCLength is the length of the CRC polynomial.

This mask is typically a radio network temporary identifier (RNTI). The RNTI is used to XOR the CRC checksum.

#### Dependencies

To enable this port, set the CRC type parameter to CRC24C port and select the Enable CRC mask input port parameter.

Data Types: ufix24

### Output

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CRC-decoded data, returned as a scalar or vector. The output data type and size are the same as the input data.

Data Types: double | single | ufix1 | uint8 | uint16 | Boolean | ufixN

Control signals accompanying the sample stream, returned as a samplecontrol bus. The bus includes the start, end, and valid control signals, which indicate the boundaries of the frame and the validity of the samples.

• start — Indicates the start of the output frame

• end — Indicates the end of the output frame

• valid — Indicates that the data on the output data port is valid

For more detail, see Sample Control Bus.

Data Types: bus

Indication of corruption of the received data, returned as a binary or integer scalar.

When this value is 1, the message contains at least one error. When this value is 0, the message contains zero errors. This value is valid when ctrl.end is set 1 true.

If you select the Full checksum mismatch parameter, this port returns the integer XOR result of the checksum mismatch. This value is the result of the logical CRC difference between the CRC checksum comprised in the input and the CRC checksum recalculated across the data part of the input. If you specify a CRC mask, the block XORs the checksum with the specified CRC mask.

Data Types: Boolean | ufix24

## Parameters

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Select the CRC type. Each CRC type indicates a polynomial, as shown in this table.

CRC TypePolynomial
CRC6[1 1 0 0 0 0 1]
CRC11[1 1 1 0 0 0 1 0 0 0 0 1]
CRC16[1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1]
CRC24A[1 1 0 0 0 0 1 1 0 0 1 0 0 1 1 0 0 1 1 1 1 1 0 1 1]
CRC24B[1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1]
CRC24C[1 1 0 1 1 0 0 1 0 1 0 1 1 0 0 0 1 0 0 0 1 0 1 1 1]

These CRC polynomials are specified according to 5G new radio (NR) standard 3GPP TS 38.212 [1].

Select this parameter to enable full checksum.

When you select this parameter, the err port returns an integer that represents the locations of bit mismatches in the CRC checksum bits. When you clear this parameter, the err port returns a Boolean value indicating whether any CRC checksum bits are mismatched.

Select this parameter to enable the CRCMask input port.

#### Dependencies

To enable this parameter, set the CRC type parameter to CRC24C.

## Algorithms

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When you use a binary vector or unsigned integer scalar input, the block implements a parallel CRC algorithm [2].

To provide high throughput for modern communications systems, the block implements the CRC algorithm with a parallel architecture. This architecture recursively calculates M bits of a CRC checksum for each W input bits. At the end of the frame, the final checksum result is appended to the message. For a polynomial length of M, the recursive checksum calculation for W bits in parallel is

${X}^{\text{'}}={F}_{W}\left(×\right)X\left(+\right)D.$

FW is an M-by-M matrix that selects elements of the current state for the polynomial calculation with the new input bits. D is an M-element vector that provides the new input bits, ordered in relation to the generator polynomial and padded with zeros. The block implements the (×) with logical AND and (+) with logical XOR.

## References

[1] 3GPP TS 38.212. “NR; Multiplexing and Channel Coding.” 3rd Generation Partnership Project; Technical Specification Group Radio Access Network.

[2] Campobello, G., G. Patane, and M. Russo. “Parallel CRC Realization.” IEEE Transactions on Computers 52, no. 10 (October 2003): 1312–19. https://doi.org/10.1109/TC.2003.1234528.

## Extended Capabilities

### Functions

Introduced in R2021a