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Generate PBCH resource element indices



[ind,info] = nrPBCHIndices(ncellid) returns the resource element indices ind for the physical broadcast channel (PBCH) and related index information info. The function implements TS 38.211 Section [1]. The corresponding physical layer cell identity number is ncellid. The returned indices are 1-based using linear indexing form. This indexing form can directly index the elements of a 240-by-4 matrix corresponding to the Synchronization Signal / Physical Broadcast Channel (SS/PBCH) block. The order of the indices indicates how the PBCH modulation symbols are mapped.

[ind,info] = nrPBCHIndices(ncellid,Name,Value) specifies additional index formatting options by using one or more name-value pair arguments. Unspecified options take default values.


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Generate the 432 resource element indices associated with the PBCH symbols within a single SS/PBCH block for a given cell identity.

ncellid = 17;    
indices = nrPBCHIndices(ncellid);

Input Arguments

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Physical layer cell identity number, specified as an integer from 0 to 1007.

Data Types: double

Name-Value Arguments

Specify optional pairs of arguments as Name1=Value1,...,NameN=ValueN, where Name is the argument name and Value is the corresponding value. Name-value arguments must appear after other arguments, but the order of the pairs does not matter.

Before R2021a, use commas to separate each name and value, and enclose Name in quotes.

Example: 'IndexStyle','subscript','IndexBase','0based' specifies nondefault resource element index formatting properties.

RE indexing form, specified as one of these values:

  • 'index' — The indices are in linear index form.

  • 'subscript' — The indices are in [subcarrier, symbol, antenna] subscript row form.

Data Types: char | string

RE indexing base, specified as one of these values:

  • '1based' — The index counting starts from 1.

  • '0based' — The index counting starts from 0.

Data Types: char | string

Output Arguments

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PBCH resource element indices, returned as one of the following.

  • column vector — When 'IndexStyle' is 'index'.

  • M-by-3 matrix — When 'IndexStyle' is 'subscript'. The matrix rows correspond to the [subcarrier, symbol, antenna] subscripts based on the number of subcarriers and OFDM symbols in a SS/PBCH block, and the number of antennas, respectively.

Depending on 'IndexBase', the indices are either 1-based or 0-based.

Data Types: uint32

Characteristic information about PBCH indices, returned as a structure with the following fields.

Parameter FieldValueDescription


Number of coded and rate matched PBCH data bits.



Number of coded and rate matched PBCH data symbols. Gd is equal to the number of rows in the PBCH indices.


[1] 3GPP TS 38.211. “NR; Physical channels and modulation.” 3rd Generation Partnership Project; Technical Specification Group Radio Access Network.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

Version History

Introduced in R2018b

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