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 | |
| Voice480)460-2350 Fax: Available upon request | Brass Rat |
| E-mail Icon at http://www.analog-innovations.com | 1962 |

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

On 05/15/2014 03:20 PM, Jim Thompson wrote:
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


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

"Jim Thompson" wrote in message
.. .

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.
www.kevinaylward.co.uk
www.anasoft.co.uk - SuperSpice

On Fri, 16 May 2014 14:25:47 +0100, "Kevin Aylward"
wrote:

"Jim Thompson" wrote in message
. ..

I assume you mean Complex as in sqrt(-1),

Yes

not Complex as in difficult.
Rotating, charged colliding black holes are difficult, sums are not...

:-D



Kevin Aylward B.Sc.
www.kevinaylward.co.uk
www.anasoft.co.uk - SuperSpice

...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 | |
| Voice480)460-2350 Fax: Available upon request | Brass Rat |
| E-mail Icon at http://www.analog-innovations.com | 1962 |

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

That's one reason I hate maths!