matlab - Noise removal from audio using FFT/Spectral editing

I have a noisy recording with some letters spoken out loud. I've noticed that the noise is easily recognizable when looking at a spectrogram of the audio. Is there anyway to set a power/frequency threshold for the spectrogram, and muting the parts which do not reach that threshold? (The noise doesn't have enough power in higher frequencies, as you can see in the spectrogram)