multiply an array of samples by a Tukey windowing function - Maple Help

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SignalProcessing[TukeyWindow] - multiply an array of samples by a Tukey windowing function

SignalProcessing[TaperedCosineWindow] - multiply an array of samples by a tapered cosine windowing function

Calling Sequence

TukeyWindow( A, alpha )

TaperedCosineWindow( A, alpha )

Parameters

A

-

Array of real or complex numeric values; the signal

alpha

-

real numeric constant

Description

• 

The TukeyWindow( A, alpha ) command multiplies the Array A by the Tukey windowing function, with parameter alpha, and returns the result in an Array having the same length.

• 

The command TaperedCosineWindow( A, alpha ) is provided as an alias.

• 

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

wk=12cos2πkαN2k<αN212cos2πα2πkαN2N12αN<k1otherwise

• 

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[TukeyWindow] and SignalProcessing[TaperedCosineWindow] commands are thread-safe as of Maple 18.

• 

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

Examples

withSignalProcessing&colon;

N:=1024&colon;

a:=GenerateUniformN&comma;1&comma;1

a:= 1 .. 1024 ArrayData Type: float8Storage: rectangularOrder: C_order

(1)

TukeyWindowa&comma;1.23

1 .. 1024 VectorrowData Type: float8Storage: rectangularOrder: C_order

(2)

c:=Array1..N&comma;&apos;datatype&apos;&equals;&apos;float&apos;8&comma;&apos;order&apos;&equals;&apos;C_order&apos;&colon;

TukeyWindowArray1..N&comma;&apos;fill&apos;&equals;1&comma;&apos;datatype&apos;&equals;&apos;float&apos;8&comma;&apos;order&apos;&equals;&apos;C_order&apos;&comma;0.72&comma;&apos;container&apos;&equals;c

1 .. 1024 VectorrowData Type: float8Storage: rectangularOrder: C_order

(3)

u:=`~`logFFTc&colon;

useplotsindisplayArraylistplot&real;u&comma;listplot&Im;uend use

See Also

SignalProcessing


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