[Elecraft] [Was] Amp power per $$ spreadsheet download [Now] CW

[Fred Jensen]

NON-MATH [mostly]:  If you add up all the odd harmonics of a sine 
function forever, when forever is over, you will have created a square 
wave.  In fact, if you add up all the harmonics of a sine wave, in 
various proportions, forever, when forever is over, you can have created 
any waveform possible.

For MATH, search Wikipedia for "square wave".

The issue this unrelated thread morphed into delves into a really big 
issue in radio design.  We think of the keying or the signal from the 
microphone as just a voltage that varies with time.  For a paddle, it's 
there or not there.  For the microphone, it's a voltage whose amplitude 
varies with time as we speak.

Because of the MATH, those signals can also be represented as the sum of 
individual signals at specific frequencies with individual phases, and 
that's how the electronics treats them.  Filters, amplifiers, mixers, 
and other components do not always treat all those different signals the 
same way, distorting their amplitude or their phase or both relative to 
each other.

It would be great, and college would be a lot more fun and a lot less 
math if this weren't true, but sadly, it is.

73,

Fred K6DGW
- Northern California Contest Club
- CU in the 50th Running of the Cal QSO Party 3-4 Oct 2015
- www.cqp.org

On 4/27/2015 4:42 PM, Michael Zolno wrote:
> Jim,
>
> Can you point to a math based reference for this. I am curious
> (really). Any other non math based is appreciated as well if not
> immediately available.
>
> All my best,
>
> Mike WH6YH