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One of the approaches for reconstructing the spectra of the mixed beta- and gamma-radiation, produced by wide band-gap semiconductor detectors, and the subsequent identification of radionuclides that are comprised in the mixture composition is a method based on various methods of spectral deconvolution. The presence of the detector response functions for each individual source of radiation is a key point in the studying such techniques. The response of TlBr- and CdZnTe-detectors to gamma-rays from 90Sr and 137Cs was simulated by Monte-Carlo method via Geant4 package. The computer experiments were conducted with using a β-filter and without it. It was shown that optimal thickness of the Al β-filter required for complete suppressing the conversion electrons in the 137Cs spectrum is 0.5 mm. The modification of 661.7 keV photopeaks with a using β-filter was investigated.