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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 α 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

0.78521849215030790.58841396495699970.99316582269966760.92157828854397080.038780170958489240.0136057925410568920.210756972897798160.74960021581500880.138966357801109770.21228513401001725

(1)

KaiserWindowa,0

0.78521849215030790.58841396495699970.99316582269966760.92157828854397080.038780170958489240.0136057925410568920.210756972897798160.74960021581500880.138966357801109770.21228513401001725

(2)

KaiserWindowa,0.23

0.61045743000567180.50714840440584310.92183679489517580.89744651144790.03866662363853790.0135659551385734250.20523824447869910.69576403517522190.119773783122354370.16503818826436684

(3)

KaiserWindowa,4.2

5.262512597808474710-80.00066578681654808290.045130570643073620.322160409751441560.0346060770163654150.0121413364847849960.073675295512876620.034062675860053840.00015723958722571121.42272909161355910-8

(4)

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

KaiserWindowa,0.03,'container'=c

0.78165302681391160.58679694628016520.99177284478499770.92111285803820280.038777994558868830.0136050289641826820.210650532972173430.74854885407702250.138584464764236530.2113212044868189

(5)

c

0.78165302681391160.58679694628016520.99177284478499770.92111285803820280.038777994558868830.0136050289641826820.210650532972173430.74854885407702250.138584464764236530.2113212044868189

(6)

aGenerateTone100,1,1Pi,Pi:

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]