Abstract: The gravitational waves (GWs) provide a new method for the verification of cosmological models. The strong gravitational radiation could be excited from cusps of oscillating string loops. The extra high frequency gravitational waves (HFGWs) could be detected by electromagnetic resonance effect. Based on the modified cosmological model and taking p and \epsilon as free parameters, we shall investigate the feature of extra HFGWs h emitted from cusps of oscillating string loops and physical effect from electromagnetic resonance scheme in this paper. We estimate conservatively that the strength of dimensionless amplitude can reach up to 10⁻²⁸−10⁻²⁵. In electromagnetic resonance system, the signal photon flux could reach up to 10⁴−10⁸ s⁻¹ and the ratio of signal to noise is 10⁻²⁰−10⁻¹⁴. Compared with other type of GWs in this frequency band, the GW discussed in this paper is more likely to be detected by the detector in the future.