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SignalProcessing

 BlackmanNuttallWindow
 multiply an array of samples by a Blackman-Nuttall windowing function

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

$w\left(k\right)=0.3635819-0.4891775\mathrm{cos}\left(\frac{2k\mathrm{\pi }}{n}\right)+0.1365995\mathrm{cos}\left(\frac{4k\mathrm{\pi }}{n}\right)-0.0106411\mathrm{cos}\left(\frac{6k\mathrm{\pi }}{n}\right)$

 • Before the code performing the computation runs, A is converted to datatype float or complex 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[BlackmanNuttallWindow] command is thread-safe as of Maple 18.

Examples

 > with( SignalProcessing ):
 > N := 1024:
 > a := GenerateUniform( N, -1, 1 );
 ${{\mathrm{_rtable}}}_{{18446884095782973678}}$ (1)
 > BlackmanNuttallWindow( a );
 ${{\mathrm{_rtable}}}_{{18446884095637633614}}$ (2)
 > c := Array( 1 .. N, 'datatype' = 'float'[ 8 ], 'order' = 'C_order' ):
 > BlackmanNuttallWindow( Array( 1 .. N, 'fill' = 1, 'datatype' = 'float'[ 8 ], 'order' = 'C_order' ), 'container' = c );
 ${{\mathrm{_rtable}}}_{{18446884095637621926}}$ (3)
 > u := log~( FFT( c ) ):
 > use plots in display( Array( [ listplot( Re( u ) ), listplot( Im( u ) ) ] ) ) end;  >

Compatibility

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