What you have stated is a bit too abstract for me.It can be a tool used in self defense for forward motions. It is also a way to create harmony and flow in the pattern delivery.
So the purpose of the sine wave is not for power generation - borrow the counter force from the ground, transfer through back leg, body, arm, and reach to the fist.
IMO the "Purpose of Sine wave" Tends to put the "Cart Before the Horse" Sine wave describes the smooth rise an fall of the head as the knee or knees are flexed to facilitate power in a hand technique. Various texts on Boxing reference punching power coming from the legs, so the concept is not unique to General Choi - only the terminology is - convenient metaphor to contrast with no knee flexion - Flat Wave, and Sharply angled motion- Saw tooth wave. This knee flexion can facilitate power thru what is sometimes referred to as Kinetic or Closed Chain linking, and since certain motions of the Human Body tend to have various parts wok in concert, (Exhaling on the exertion is a common item) the knee flexion can help use the larger muscles of the hips and abdomen as part of the twist - no I don't have scientific data - but I googled some slow motion videos of Floyd Mayweather and I will leave it to other to see if they think his power shots (As opposed to flicking jabs) use any / all of these concepts. So, back to my initial comment. The purpose is to generate max power when applicable - this is done (partly) thru knee flexion, as a result the head moves up and down - sine wave.What's the purpose of the "sine wave" if it's not used for power generation? May be I misunderstand it's purpose completely.
From my experience I have seen people/styles take the idea too far and instead of moving in a smooth sinusoidal wave with a rounded peak they move in very steep inclination/declination with sharp peaks, lessening the effect.
It's a good idea for power generation if lower stance can be used. In high stance, the leg bend and leg straight are not noticeable.Choi supposedly agreed on his death bed that it had been exaggerated in later years.
It's a good idea for power generation if lower stance can be used. In high stance, the leg bend and leg straight are not noticeable.
I like the coordination punch with leading foot landing. I can see that the sine wave training can help one to uniform his body in one union. All body parts start to move at the same time, and all body parts stop at the same time. I believe this is the main purpose for the sine wave training.