[sdiy] Generating acyclic waveforms?

[Ian Fritz]

At 03:01 PM 3/22/2010, Jerry Gray-Eskue wrote:

>I am not quite sure how to express this properly but here is a shot at it:
>
>A signal v(t) is periodic with period T if
>
>         v(t) = v(t+T) for all t
>         In other words the waveform is precisely repeating over the period T.
>
>The Fundamental sine wave  v(t)= Vo cos(wt+ phase angle). ( or is that a
>cosine wave? )
>v(t) is +- around zero and the Sum of (v(t) over the period T) = 0.
>
>
>Now if we take the first harmonic its value is vh(t)= Vo cos(wt+ (phase
>angle * 2)).
>So if we vary the Harmonic thus  vh(t)= Vo cos(wt+ ((phase angle +
>SomeFunctionOf(v(t))* 2)).
>That is the harmonic is frequency shifted using the fundamental sine's v(t)
>as the control.
>Assuming this is a sine not cosine wave, we have the phase angel accelerated
>during the first T/2 and decelerated during the second half with a net
>acceleration of zero.
>
>So the waveform repeats each T and
>
>Vo cos(wt+ ((phase angle + SomeFunctionOf(v(t))* 2)) = Vo cos(w(t+T)+
>((phase angle + SomeFunctionOf(v(t+T))* 2)).
>
>
>Clear as mud???


Right. Sorry, but it doesn't make any sense to me.  I don't see any 
harmonics (2w, 3w, etc), so how is this relevant to the discussion at 
all?  Why are you multiplying the "phase angle" (which it is not) by 2?  I 
think you need to back up and study the fundamentals of waves and signals.

Ian