[Amps] Fwd: Linear Amplifier Tuning---PROPERLY!

[Fuqua, Bill L]

  IMD is produced by  V^3, V^5 ,etc. or voltage raised to the third, fifth, odd powers.
We are not talking about harmonics. Odd order distortions produce only odd harmonincs. 
Where a third order distortion will produce only the third harmonic, a 5th order will produce the 3rd and 5th and
7th will produce 3rd, 5th and 7th.
  Even order distortions will produce only even harmonics just as odd only produces odd harmonics.

73
________________________________________
From: amps-bounces at contesting.com [amps-bounces at contesting.com] On Behalf Of Larry Benko [xxw0qe at comcast.net]
Sent: Wednesday, December 28, 2011 3:48 PM
To: amps at contesting.com
Subject: Re: [Amps] Fwd: Linear Amplifier Tuning---PROPERLY!

A simple way to look at this is if the non-linearities/distortion are
_symmetrical_ on both the positive and negative sides of the AC waveform
only odd harmonics are generated.  All other cases produce both even and
odd harmonics.  The most fundamental example is a square wave (50% duty
cycle) which only has odd harmonics.  Any other duty cycle has both even
and odd harmonics.  There are some odd (not generally occurring in
circuits) cases where the above is not true but they only detract from
the basic cases.

IMD on the other hand is produced by ANY non-linearity.

The harmonics are easy to demonstrate with the free program LTSpice
(www.analog.com).  If anyone wants a LTSpice file showing this I can
provide it.

Larry, W0QE

On 12/27/2011 9:59 AM, chas wrote:
> On 12/25/11 9:01 AM, Fuqua, Bill L wrote:
>> You can have IMD without any second harmonic. All you need is the third
>> order polynomial  term of the Vout/Vin curve. Simply have two Cosines of
>> different frequency, summed together raised to the power of 3 you get
>> fundamental, third harmonic and the IMD products we see with a two tone
>> test. I sent out a paper on IMD and Cross cross modulation some years ago
>> to this group. On vacation now and don't have it on this computer. Maybe
>> one of you can locate it. All the math is there. No rocket science. Just
>> some algebra and trig. Peaking the plate tune cap last for max output does
>> not mean that you have matched impedance. It just makes the net result
>> resistive and not reactive. That is to say Resonant. Rather than off
>> resonance. 73 Bill wa4lav _______________________________________________
>> Amps mailing list Amps at contesting.com
>> http://lists.contesting.com/mailman/listinfo/amps
>
> As much as I hate to admit it but allowing for the fact that this list is not
> made up of Lawrence Livermore employees, professional mathematicians, etc
> I will hazard a guess that I am in the vast majority when I have to ask "what
> in 'ell did you just say?".
>
> In other words, feel free to talk down to the rest of us whose PhDs, MDs, etc
> are not in your field of - math above Jr High Algebra...<G>
>
> I realize that you might find it impossible to detune your Einstein level
> math speech but perhaps you could give us a band graph showing what we should
> be doing instead of expecting us to move into your head and to pick up the
> math computations which you are using.
>
> thanks
> chas k5dam
> Houston, Tx
>
>
>
>
> Chas
>
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