- 21st June 2011, 04:02 #1

- Join Date
- Dec 2009
- Posts
- 68
- Helped
- 1 / 1
- Points
- 1,253
- Level
- 8

## A question about the third order distortion of cascaded outputs? Any equations?

I am designing a receiver. In a traditional way, I use two mixers and three ampllifiers. The OIP3 of the amplifiers is +27dBm, and IIP3 of the mixers is about 18dBm. The simple structure of the system is something like the mixer->amplifier->filter->mixer->amplifier->amplifier->filter. The level of the mixers is about -30dBm. So the third order output of the mixer is about (18dBm-(-30dBm))*2=96dBc. As the three amplifiers are of the same gain about +15dB and the mixers are of the same conversion loss about 8dB, the third output of the second amplifier should be (+27dBm-(-30dBm-8dB+15dB))*2=100dBc. In theory, the third output of the third amplifier should be (+27dBm-(-30dBm-8dB+15dB+15dB))=70dBc. Am I right in theory? I just make the calculation of each individual components and I haven't taken the cascaded effect into account. Would anyone like to point me out where I am not right and tell me how to modify my calculations? In which case we should care about the cascaded effect? Is there some equation like the noise figure one? Any reply is appreciated.

- 21st June 2011, 04:02

- 21st June 2011, 23:13 #2

- Join Date
- Jul 2010
- Location
- Beijing
- Posts
- 1,620
- Helped
- 345 / 345
- Points
- 8,471
- Level
- 22

## Re: A question about the third order distortion of cascaded outputs? Any equations?

There are several free software can calculate the cascade system specifications, you should use software to do it. Such as syscal etc.

- 21st June 2011, 23:13

- 22nd June 2011, 10:11 #3

- Join Date
- Oct 2001
- Posts
- 4,014
- Helped
- 1097 / 1097
- Points
- 27,958
- Level
- 40

## Re: A question about the third order distortion of cascaded outputs? Any equations?

The applet below is for 5 stages, but can give you an idea what is going on.

CASCADE08.swf

For more complex analysis you can use the AppCAD from Agilent:

AppCAD

1 members found this post helpful.

- 22nd June 2011, 10:11

- 22nd June 2011, 23:20 #4

- Join Date
- Nov 2010
- Location
- Copenhagen, Denmark
- Posts
- 26
- Helped
- 2 / 2
- Points
- 686
- Level
- 5

## Re: A question about the third order distortion of cascaded outputs? Any equations?

Use the software as described above. Your calculations are way wrong. IP3 is a theoretical point. You will never have your amplifier working in that region because of saturation.

- 23rd June 2011, 08:25 #5

- Join Date
- Dec 2009
- Posts
- 68
- Helped
- 1 / 1
- Points
- 1,253
- Level
- 8

## Re: A question about the third order distortion of cascaded outputs? Any equations?

Hey, friends! I use the OIP3 just for the calculations. I don't make the amplifiers work in the IIP3, although I have done it before. The chaos in my spectrum is hard to describe.

- 28th September 2011, 14:32 #6

- Join Date
- Aug 2010
- Location
- Chengdu
- Posts
- 16
- Helped
- 8 / 8
- Points
- 558
- Level
- 5
- Blog Entries
- 1

## Re: A question about the third order distortion of cascaded outputs? Any equations?

The Cascade calculation formula of Gain/NF/OP1dB/OIP3 are:

You can use Cascade or the tool I developed to calculate cascade specifacations.