For the current study of radiation from sources in homogeneous compressible lossy magnetoplasma, a linearized hydrodynamic description of the plasma, with positive ions at rest, is used in conjunction with Maxwell's equations. The governing equations have been reformulated in matrix form in which a tensor characteristic of the compressible magnetoplasma has been used. From this unified formulation, uncoupled wave equations have been deduced for radiation fields of various sources, namely the electric current source, the magnetic current source, the mechanical body force source and the electron flux source. The uncoupled wave equation of the electric field vector is then solved, by the method of the dyadic Green's function, term by term, to give fields of each of these sources. Also from this formulation, a general dispersion relation for lossy magnetoplasma has been deduced. Propagation parallel and perpendicular to the static magnetie field is studied as particular cases.