Complex Math Question

May 15, 2014 3 Replies

Is this correct...



I have a complex expression Numerator/Denominator where Numerator is the complex conjugate of the Denominator.



Am I correct that the net phase angle is twice that of the Numerator?



That would simplify my life if I didn't have to make the Denominator real, which turns into an Algebraic mess :-( ...Jim Thompson



-- | James E.Thompson | mens | | Analog Innovations | et | | Analog/Mixed-Signal ASIC's and Discrete Systems | manus | | San Tan Valley, AZ 85142 Skype: Contacts Only | | | Voice:(480)460-2350 Fax: Available upon request | Brass Rat | | E-mail Icon at

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| 1962 | I love to cook with wine. Sometimes I even put it in the food.


Sure. Just convert to polar coordinates and it's clear.

A exp(j phi)

----------- == exp(j 2 phi) A exp(-j phi)

Cheers

Phil Hobbs

Dr Philip C D Hobbs Principal Consultant ElectroOptical Innovations LLC Optics, Electro-optics, Photonics, Analog Electronics 160 North State Road #203 Briarcliff Manor NY 10510 hobbs at electrooptical dot net http://electrooptical.net

I assume you mean Complex as in sqrt(-1), not Complex as in difficult. Rotating, charged colliding black holes are difficult, sums are not...

Kevin Aylward B.Sc.

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- SuperSpice

Yes

:-D

...Jim Thompson

-- | James E.Thompson | mens | | Analog Innovations | et | | Analog/Mixed-Signal ASIC's and Discrete Systems | manus | | San Tan Valley, AZ 85142 Skype: Contacts Only | | | Voice:(480)460-2350 Fax: Available upon request | Brass Rat | | E-mail Icon at

formatting link
| 1962 | I love to cook with wine. Sometimes I even put it in the food.

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