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This paper proposes a new noise suppression method to reduce zoom noise generated when audio signals are recorded with a digital camera. The proposed method is based on multiband spectral subtraction that can suppress spectral components of noise related to reference zoom-noise in the modified discrete cosine transform domain. In particular, in the proposed method, each frame is classified as either a noise frame or a non-noise frame, and depending on this classification, the reference zoomnoise is updated and the degree of suppression is controlled. It is shown from performance evaluation that noise due to a zooming operation of digital cameras is successfully suppressed while maintaining audio quality.