Specifications

Dimensions, Size, and Shape of an LTI Array
5-9
•N, the number of models in the LTI array
•K, the number of array dimensions
• , the list of lengths of the array dimensions
- is the number of models along the dimension.
• , the configuration of the models in the array
- The configuration determines the shape of the array.
- The product of these integers is N.
In the example model
m2d,:
•The length of the output dimension, the first I/O dimension, is 2, since there
are two output channels in each model.
•Thelengthoftheinputdimension,thesecondI/Odimension,is1,sincethere
is only one input channel in each model.
•N, the number of models in the LTI array, is 6.
•K, the number of array dimensions, is 2.
•The array dimension lengths are [2 3].
•The array configuration is 2-by-3.
size and ndims
You can access the dimensions and shape of an LTI array using:
•
size to determine the lengths of each of the dimensions associated with an
LTI array
•
ndims to determine the total number of dimensions in an LTI array
WhenappliedtoanLTIarray,
size returns
[Ny Nu S1 S2 ... Sk]
where
•
Ny is the number of outputs common to all models in the LTI array.
•
Nu is the number of inputs common to all models in the LTI array.
•
S1 S2 ... Sk are the lengths of the array dimensions of a k-dimensional
array of models.
Si is the number of models along the ith array dimension.
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