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convert/phaseamp

convert expressions to phase-amplitude form

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

convert( expr, phaseamp, t )

Parameters

expr

-

any Maple expression

t

-

name; the name of the dependent variable

Description

• 

The phaseamp conversion attempts to locate subexpressions of the form aFtcosωt+bFtsinωt in expr, and converts them to the form a2+b2Ftcosωtarctanb,a. Here, the coefficients a and b are independent of the variable t, which must be passed as a parameter to the conversion.

• 

The strength of the conversion is sensitive to the values of the environment variables Testzero and Normalizer.

Examples

This example demonstrates the basic conversion that is applied.

convertaⅇctcosωt+bⅇctsinωt,phaseamp,t

a2+b2ⅇctcosωtarctanb,a

(1)

The following two examples illustrate how the dependent variable affects the conversion.

convertasⅇstcosst+bsⅇstsinst,phaseamp,t

as2+bs2ⅇstcosstarctanbs,as

(2)

convertasⅇstcosst+bsⅇstsinst,phaseamp,s

asⅇstcosst+bsⅇstsinst

(3)

See Also

arctan

convert

cos

exp

Normalizer

sin

Testzero