There’s videos out there that might help you visualize this.
The one I saw was a set of 6 second clips from 3 spots. It involved a car holding the horn for the 6 seconds in all 3. One view point was where the car passed at 3 seconds, one view point was inside the car, and one view point was a car passing the other direction.
Stationary view point: standard Doppler pitch shift.
Noisy car view point: no pitch shift.
Counter direction car: much stronger Doppler pitch shift.
If you can find a similar set of clips it might help, but if you want to just take my word at the descriptions that’s fine too. The point is, Doppler effects are all about relative movement. If the relative movement is 0, the Doppler pitch shift will be non-existant (2nd clip). If the relative movement is greater, the Doppler pitch shift will also be greater (3rd clip).
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