This paper presents a multichannel method for enhancing the signal-to-noise ratio, when the noise is purely random. We show that under some assumptions the contribution of each wave may be individualized. The quality of the results is sensitive to the estimation of the interspectral matrix from the initial traces. The proposed method is general: according to the type of document (shot point or CDP gather, stacked seismic section), we indicate how the interspectral matrix is best estimated.