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We report on the characteristics of terahertz waves emitted from coherent longitudinal optical (LO) phonons in a GaAs/AlAs multiple quantum well structure under an applied electric field. It is found that the intensity of the terahertz wave from the coherent LO phonon is resonantly enhanced in comparison with the intensity in a low electric-field region, under the condition that an intersubband energy is tuned to the LO-phonon energy of GaAs. The pump-energy dependence of the terahertz-wave intensity indicates that the enhancement originates from the double resonances in the Raman scattering process.