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SignalProcessing

  

KaiserWindow

  

multiply an array of samples by a Kaiser windowing function

 

Calling Sequence

Parameters

Options

Description

Thread Safety

Examples

Compatibility

Calling Sequence

KaiserWindow(A, alpha)

Parameters

A

-

Array of real or complex numeric values; the signal

alpha

-

numeric parameter for Kaiser windowing function

Options

• 

container : Array, predefined Array for holding results

• 

inplace : truefalse, specifies that output should overwrite input

Description

• 

The KaiserWindow(A, alpha) command multiplies the Array A by the Kaiser windowing function with parameter alpha and returns the result in a Array having the same length. The length of A must be at least 1.

• 

The Kaiser windowing function w with parameter alpha is defined as follows for a sample with N points.

wk=I0αN2122kN2+122I0αN12

where I0 is a modified Bessel function of the first kind (see BesselI).

• 

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

Thread Safety

• 

The SignalProcessing[KaiserWindow] command is thread-safe as of Maple 17.

• 

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

Examples

withSignalProcessing:

aGenerateUniform10,1,1

a0.7852184921503080.5884139649570000.9931658226996680.9215782885439710.03878017095848920.01360579254105690.2107569728977980.7496002158150090.1389663578011100.212285134010017

(1)

KaiserWindowa,0

0.7852184921503080.5884139649570000.9931658226996680.9215782885439710.03878017095848920.01360579254105690.2107569728977980.7496002158150090.1389663578011100.212285134010017

(2)

KaiserWindowa,0.23

0.6104574300056720.5071484044058430.9218367948951760.8974465114479000.03866662363853790.01356595513857340.2052382444786990.6957640351752220.1197737831223540.165038188264367

(3)

KaiserWindowa,4.2

5.2625125978084710-80.0006657868165480830.04513057064307360.3221604097514420.03460607701636540.01214133648478500.07367529551287660.03406267586005380.0001572395872257111.4227290916135610-8

(4)

cArray1..10,'datatype'='float'8,'order'='C_order':

KaiserWindowa,0.03,'container'=c

0.7816530268139120.5867969462801650.9917728447849980.9211128580382030.03877799455886880.01360502896418270.2106505329721730.7485488540770230.1385844647642370.211321204486819

(5)

c

0.7816530268139120.5867969462801650.9917728447849980.9211128580382030.03877799455886880.01360502896418270.2106505329721730.7485488540770230.1385844647642370.211321204486819

(6)

aGenerateTone100,1,1π,π:

useplotsindisplayArraylistplota,listplotKaiserWindowa,0.2;animatelistplot,'KaiserWindow'a,α,α=1..1end use

Compatibility

• 

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

• 

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

See Also

SignalProcessing[BartlettWindow]

SignalProcessing[BlackmanWindow]

SignalProcessing[HammingWindow]

SignalProcessing[HannWindow]

 


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