Method of wind and noise reduction for headphones starts by receiving acoustic signals from first external microphone included on the outside of earcup's housing. Acoustic signals are received from internal microphone included inside earcup's housing. ANC downlink corrector processes downlink signal to generate echo estimate of speaker signal. First summator removes echo estimate of speaker signal from acoustic signals from internal microphone to generate corrected internal microphone signal. Spectral combiner performs spectral mixing of corrected internal microphone signal with acoustic signals from first external microphone to generate mixed signal. Lower frequency portion of mixed signal includes corresponding lower frequency portion of corrected internal microphone signal, and higher frequency portion of mixed signal includes corresponding higher frequency portion of acoustic signals from first external microphone. Other embodiments are also described.