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This section defines important Communications System Toolbox™ terms related to matrices, vectors, and scalars, as well as frame-based and sample-based processing.

This document uses the unqualified words *scalar* and *vector* in
ways that emphasize a signal's number of elements, not its strict
dimension properties:

A

*scalar*signal contains a single element. The signal could be a one-dimensional array with one element, or a matrix of size 1-by-1.A

*vector*signal contains one or more elements, arranged in a series. The signal could be a one-dimensional array, a matrix that has exactly one column, or a matrix that has exactly one row. The number of elements in a vector is called its*length*or, sometimes, its*width*.

In
cases when it is important for a description or schematic to distinguish
among different types of scalar signals or different types of vector
signals, this document mentions the distinctions explicitly. For example,
the terms *one-dimensional array*, *column
vector*, and *row vector* distinguish
among three types of vector signals.

The *size* of a matrix is the pair of numbers
that indicate how many rows and columns the matrix has. The *orientation* of
a two-dimensional vector is its status as either a row vector or column
vector. A one-dimensional array has no orientation – this is
sometimes called an unoriented vector.

A matrix signal that has more than one row and more than
one column is called a *full matrix* signal.

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