drewfx1
If it's the same signal, it's the same. The phase difference at every frequency is now 180° and you go from the two signals adding at every frequency to canceling at every frequency.
In general, when you flip the polarity of one signal you go from the signals adding at any given frequency to canceling at the same frequency and vice versa.
This takes me back to my original question.
Is it correct to say that flipping polarity changes the phase relationship by 180* if in fact no actual time shift has occurred? That's a sincere question not a wise crack reply.
With the scenario you describe of the signals cancelling each other out to null (or some DC offset); Is it just a common habit to attribute that with the term "phase cancellation". Is that indeed the specific and correct term to use? There are many circumstances of phase cancellation, or rather comb filtering, which results in the introduction of nulls and or peaks, but is the cancellation due to reversed polarity one of those examples, or is reversed polarity a special case, not at all associated with time shift, where the cancellation occurs simply due to the summation of symmetrically reflective values?
I appreciated the differentiation between the terms "phase shift" and "phase relationship". Now we have introduced the term "phase difference".
I'm slowly learning.