container : Array, predefined Array for holding results

inplace : truefalse, specifies that output should overwrite input

The HannWindow(A) command multiplies the Array A by a Hann windowing function and returns the result in an Array having the same length. The length of A must be at least $3$.

The Hann windowing function $w$ is defined as follows for a sample with $N$ points.

For an Array with complex values, the real and imaginary parts are multiplied by the same windowing function.

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[HannWindow] command is thread-safe as of Maple 17.

For more information on thread safety, see index/threadsafe.

$\mathrm{with}\left(\mathrm{SignalProcessing}\right)\:$

$a≔\mathrm{GenerateUniform}\left(10\,-1\,1\right)$

$a≔\left[\begin{array}{cccccccccc}0.995867573674919& 0.408337529411819& 0.167610888327636& \mathrm{-0.246858837322246}& 0.432866472071836& \mathrm{-0.439979858216147}& 0.432901310269353& 0.481379433115581& \mathrm{-0.477697063372826}& 0.0288390346482901\end{array}\right]$

$\mathrm{HannWindow}\left(a\right)$

$\left[\begin{array}{cccccccccc}0.& 0.0477664170444814& 0.0692527815062032& \mathrm{-0.185144127991685}& 0.419813950831685& \mathrm{-0.426712842138146}& 0.324675982702015& 0.198894385894360& \mathrm{-0.0558799412409091}& 0.\end{array}\right]$

$c≔\mathrm{Array}\left(1..10\,'\mathrm{datatype}'='\mathrm{float}'\left[8\right]\,'\mathrm{order}'='\mathrm{C\_order}'\right)\:$

$\mathrm{HannWindow}\left(a\,'\mathrm{container}'=c\right)$

$\left[\begin{array}{cccccccccc}0.& 0.0477664170444814& 0.0692527815062032& \mathrm{-0.185144127991685}& 0.419813950831685& \mathrm{-0.426712842138146}& 0.324675982702015& 0.198894385894360& \mathrm{-0.0558799412409091}& 0.\end{array}\right]$

$c$

$\left[\begin{array}{cccccccccc}0.& 0.0477664170444814& 0.0692527815062032& \mathrm{-0.185144127991685}& 0.419813950831685& \mathrm{-0.426712842138146}& 0.324675982702015& 0.198894385894360& \mathrm{-0.0558799412409091}& 0.\end{array}\right]$

$a≔\mathrm{GenerateTone}\left(100\,1\,\frac{1}{\mathrm{\pi }}\,\mathrm{\pi }\right)\:$

$\mathbf{use}\mathrm{plots}\mathbf{in}\mathrm{display}\left(\mathrm{Array}\left(\left[\mathrm{listplot}\left(a\right)\,\mathrm{listplot}\left(\mathrm{HannWindow}\left(a\right)\right)\right]\right)\right)\mathbf{end\; use}$

The SignalProcessing[HannWindow] command was introduced in Maple 17.

For more information on Maple 17 changes, see Updates in Maple 17.