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

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SignalProcessing[CauchyWindow] - multiply an array of samples by a Cauchy windowing function

Calling Sequence

CauchyWindow( A, alpha )

Parameters

A

-

Array of real or complex numeric values; the signal

alpha

-

real numeric constant

Description

• 

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

• 

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

wk=11+α2kN12

• 

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[CauchyWindow] command is thread-safe as of Maple 18.

• 

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

Examples

withSignalProcessing:

N:=1024:

a:=GenerateUniformN,1,1

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

(1)

CauchyWindowa,1.23

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

(2)

c:=Array1..N,'datatype'='float'8,'order'='C_order':

CauchyWindowArray1..N,'fill'=1,'datatype'='float'8,'order'='C_order',0.72,'container'=c

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

(3)

u:=`~`logFFTc:

useplotsindisplayArraylistplotℜu,listplotℑuend use

See Also

SignalProcessing


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