Radiation mechanisms of pulsed plasma dielectric antennas are theoretically and numerically investigated in order to provide design criteria of an effective dielectric plasma antenna. First, the physics/mechanism that couples energy from a pulsed current through solenoids into the plasma is demonstrated. Then, the radiation powers for various kinds of emissions and their frequency regions that the plasma radiates are determined. These mechanisms include atomic (or line) radiation, continuum radiation such as Bremsstrahlung and recombination, and plasma radiation including electron cyclotron radiation, pulse oscillation radiation, sequence dipole oscillation radiation, and surface wave radiation. Furthermore, we compare each kind of emission process and find the most significant radiation mechanism for the pulsed plasma dielectric antennas. The line emission and continuum radiation are shown to be almost not influenced by the pulse current in the solenoid; while the plasma radiation strongly depends on the coil current. The dipole oscillation radiation and the surface wave radiation processes are much more significant than the electron cyclotron radiation and the pulse oscillation radiation.