Here is the configure of Ellipsoid Particle Emitter, it emits particles like small ball.
However, I want to know how to change the configure to simulate the Punch Emitter like Street Fighter.
You can change the size of the ellipsoid to make it very small and give the impression that the particles are coming from a single point. If this doesn’t give you the shape you want then you could try using a mesh emitter instead. You can create a mesh of the right shape but then remove the mesh renderer from the object. The mesh will be invisible but can still be used by the mesh emitter for its shape.