Detect errors in input data frames according to generator polynomial
CRC sublibrary of Error Correction and Detection
The General CRC Syndrome Detector block computes checksums for its entire input frame. This block accepts a binary column vector input signal.
The block's second output is a vector whose size is the number of checksums, and whose entries are 0 if the checksum computation yields a zero value, and 1 otherwise. The block's first output is the set of message words with the checksums removed.
The first output is the data frame with the CRC bits removed and the second output indicates if an error was detected in the data frame.
The block's parameter settings should agree with those in the General CRC Generator block.
You specify the number of checksums the block calculates for each frame by the Checksums per frame parameter. If the Checksums per frame value is k, the size of the input frame is n, and the degree of the generator polynomial is r, then k must divide n - k*r, which is the size of the message word.
This block supports
types. The block inherits the output data type from the input signal.
Suppose the received codeword has size 16, the generator polynomial
has degree 3, Initial states is
and Checksums per frame is
The block computes the two checksums of size 3, one from the first
half of the received codeword, and the other from the second half
of the received codeword, as shown in the following figure. The initial
states are not shown in this example, because an initial state of
not affect the output of the CRC algorithm. The block concatenates
the two halves of the message word as a single vector of size 10 and
outputs this vector through the first output port. The block outputs
a 2-by-1 binary frame vector whose entries depend on whether the computed
checksums are zero. The following figure shows an example in which
the first checksum is nonzero and the second checksum is zero. This
indicates that an error occurred in transmitting the first half of
The General CRC Syndrome Detector block has one input port and two output ports. These ports accept binary column vector signals.
A character vector, a binary row vector in descending order of powers, or an integer row vector in descending order of powers.
A binary scalar or a binary row vector of length equal to the degree of the generator polynomial, specifying the initial state of the internal shift register.
When you select this check box, the object uses the direct algorithm for CRC checksum calculations. When you clear this check box, the object uses the non-direct algorithm for CRC checksum calculations.
When you select this check box, the block flips the input data on a bytewise basis prior to entering the data into the shift register. For this application, the input frame length (and any current input frame length for variable-size signals) divided by the value for the Checksums per frame parameter minus the degree of the generator polynomial, which you specify in the Generator polynomial parameter, must be a multiple of eight. When you clear this check box, the block does not flip the input data.
When you select this check box, the block flips the CRC checksums around their centers after the input data are completely through the shift register. When you clear this check box, the block does not flip the CRC checksums.
Specify the value with which the CRC checksum is to be XORed
as a binary scalar or vector. The block applies the XOR operation
just prior to appending the input data. The vector length is the degree
of the generator polynomial that you specify in the Generator
polynomial parameter. When you specify the final XOR value
as a scalar, the block expands the value to a row vector with a length
equal to the degree of the generator polynomial. The default value
of this parameter is
0, which is equivalent to
no XOR operation.
Specify the number of checksums the block calculates for each input frame. This value must be a positive integer. The input frame length (and any current input frame length for variable-size signals) must be a multiple of this parameter value.
For a description of the CRC algorithm as implemented by this block, see Cyclic Redundancy Check Codes in Communications System Toolbox™ User's Guide.
 Sklar, Bernard. Digital Communications: Fundamentals and Applications. Englewood Cliffs, N.J., Prentice-Hall, 1988.
 Wicker, Stephen B., Error Control Systems for Digital Communication and Storage, Upper Saddle River, N.J., Prentice Hall, 1995.