RectangleWindow - Maple Help

SignalProcessing

 RectangleWindow
 multiply an array of samples by a rectangular windowing function

 Calling Sequence RectangleWindow(A)

Parameters

 A - Array of real or complex numeric values; the signal

Options

 • container : Array, predefined Array for holding results
 • inplace : truefalse, specifies that output should overwrite input

Description

 • The RectangleWindow(A) command multiplies the Array A by the rectangular windowing function and returns the result in an Array having the same length.
 • The rectangular windowing function $w\left(k\right)$ is defined as follows for a sample with $N$ points.

$w\left(k\right)=1$

 • It is effectively equivalent to no windowing function.
 • Before the code performing the computation runs, A is converted to datatype float[8] or complex[8] if it does not have one of those datatypes already. For this reason, it is most efficient if A has one of these datatypes beforehand. This does not apply if inplace is true.
 • If the container=C option is provided, then the results are put into C and C is returned. With this option, no additional memory is allocated to store the result. The container must be an Array of the same size and datatype as A.
 • If the inplace or inplace=true option is provided, then A is overwritten with the results. In this case, the container option is ignored.

 • The SignalProcessing[RectangleWindow] command is thread-safe as of Maple 18.

Examples

 > $\mathrm{with}\left(\mathrm{SignalProcessing}\right):$
 > $N≔1024:$
 > $a≔\mathrm{GenerateUniform}\left(N,-1,1\right)$
 > $b≔\mathrm{RectangleWindow}\left(a\right)$
 > $\mathrm{EqualEntries}\left(a,b\right)$
 ${\mathrm{true}}$ (1)
 > $c≔\mathrm{Array}\left(1..N,'\mathrm{datatype}'='\mathrm{float}'\left[8\right],'\mathrm{order}'='\mathrm{C_order}'\right):$
 > $\mathrm{RectangleWindow}\left(\mathrm{Array}\left(1..N,'\mathrm{fill}'=1,'\mathrm{datatype}'='\mathrm{float}'\left[8\right],'\mathrm{order}'='\mathrm{C_order}'\right),'\mathrm{container}'=c\right)$
 > $\mathrm{convert}\left(c,'\mathrm{set}'\right)$
 $\left\{{1.}\right\}$ (2)

Compatibility

 • The SignalProcessing[RectangleWindow] command was introduced in Maple 18.